libitofin 0.6.1

// @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, 3, 1, 1, 13, 1, 1, 7, 7, 9,
    1, 1, 5, 15, 21, 1, 3, 5, 3, 23, 1, 1, 1, 15, 27, 1,
    3, 7, 9, 1, 9, 1, 1, 7, 15, 31, 37, 1, 1, 5, 5, 31,
    9, 1, 3, 1, 13, 3, 49, 1, 1, 7, 15, 1, 13, 1, 3, 3,
    13, 29, 37, 1, 1, 1, 5, 13, 51, 45, 1, 3, 1, 7, 19, 23,
    51, 1, 3, 7, 1, 27, 45, 61, 1, 3, 7, 3, 9, 51, 1, 1,
    3, 1, 11, 27, 3, 23, 1, 3, 7, 9, 5, 35, 105, 1, 1, 1,
    1, 19, 21, 69, 1, 3, 3, 5, 11, 61, 41, 1, 1, 3, 13, 15,
    17, 25, 1, 1, 1, 13, 19, 47, 19, 1, 1, 7, 1, 31, 23, 127,
    1, 1, 7, 1, 31, 59, 123, 1, 1, 5, 5, 13, 39, 109, 1, 3,
    7, 15, 23, 19, 127, 1, 1, 5, 3, 1, 47, 15, 1, 1, 3, 13,
    23, 1, 61, 1, 3, 3, 3, 3, 35, 83, 1, 1, 5, 5, 13, 5,
    19, 1, 1, 5, 9, 13, 51, 25, 117, 1, 1, 5, 11, 19, 33, 111,
    71, 1, 3, 1, 9, 5, 63, 33, 27, 1, 3, 1, 5, 19, 57, 15,
    181, 1, 3, 7, 5, 5, 41, 115, 15, 1, 3, 1, 9, 9, 23, 45,
    43, 1, 1, 1, 1, 13, 1, 109, 29, 1, 1, 5, 13, 31, 29, 95,
    111, 1, 1, 1, 3, 9, 39, 109, 17, 1, 1, 1, 5, 17, 17, 47,
    153, 1, 1, 1, 3, 31, 57, 43, 17, 1, 3, 7, 3, 29, 17, 91,
    153, 1, 3, 3, 5, 21, 7, 73, 91, 1, 1, 7, 11, 13, 9, 83,
    213, 1, 1, 7, 3, 17, 55, 37, 189, 1, 3, 7, 5, 7, 15, 39,
    247, 1, 3, 1, 9, 27, 41, 83, 63, 89, 1, 3, 7, 11, 9, 51,
    59, 89, 11, 1, 3, 5, 13, 29, 21, 55, 65, 45, 1, 3, 7, 5,
    29, 33, 83, 229, 287, 1, 3, 5, 15, 13, 7, 89, 151, 391, 1, 3,
    3, 9, 29, 3, 111, 177, 475, 1, 3, 1, 1, 5, 11, 23, 33, 337,
    1, 1, 1, 15, 1, 23, 111, 175, 125, 1, 3, 7, 15, 27, 47, 31,
    103, 245, 1, 3, 5, 7, 7, 3, 127, 187, 245, 1, 1, 1, 13, 13,
    33, 33, 249, 381, 1, 1, 3, 11, 27, 45, 95, 31, 419, 1, 1, 1,
    13, 17, 53, 35, 197, 455, 1, 1, 5, 7, 21, 43, 93, 237, 467, 1,
    3, 5, 15, 1, 19, 43, 245, 193, 1, 1, 7, 11, 21, 21, 23, 147,
    429, 1, 3, 3, 7, 27, 33, 99, 127, 97, 1, 1, 5, 11, 13, 21,
    101, 73, 17, 1, 3, 1, 13, 3, 41, 7, 237, 311, 1, 3, 7, 1,
    1, 43, 115, 215, 499, 1, 3, 1, 13, 1, 9, 113, 121, 473, 1, 1,
    5, 5, 21, 7, 5, 171, 41, 1, 3, 7, 15, 31, 11, 87, 89, 495,
    1, 1, 5, 1, 9, 9, 19, 161, 325, 1, 3, 3, 11, 15, 35, 75,
    99, 331, 1, 3, 1, 1, 9, 27, 103, 93, 187, 1, 1, 3, 11, 19,
    43, 123, 169, 325, 1, 1, 7, 9, 17, 59, 65, 139, 89, 1, 1, 5,
    15, 19, 57, 29, 151, 131, 1, 1, 1, 1, 23, 49, 75, 85, 365, 1,
    1, 5, 13, 11, 45, 31, 245, 311, 1, 3, 7, 5, 5, 13, 23, 1,
    461, 1, 3, 1, 11, 17, 23, 19, 43, 393, 1, 1, 3, 5, 27, 9,
    37, 105, 491, 1, 3, 3, 1, 15, 51, 107, 231, 39, 1, 1, 1, 5,
    21, 57, 59, 143, 47, 1, 1, 7, 7, 23, 45, 29, 33, 403, 1, 3,
    7, 5, 31, 7, 91, 5, 355, 1, 3, 5, 1, 25, 7, 15, 191, 45,
    1, 1, 7, 5, 9, 33, 63, 75, 45, 1, 3, 5, 7, 27, 39, 83,
    121, 495, 1, 1, 7, 5, 1, 25, 71, 31, 33, 1, 1, 7, 13, 13,
    63, 85, 203, 491, 1, 3, 3, 11, 21, 39, 25, 213, 423, 1, 3, 5,
    11, 3, 7, 115, 3, 191, 1, 1, 1, 9, 19, 1, 51, 247, 301, 1,
    1, 1, 7, 13, 15, 45, 243, 453, 1, 1, 1, 7, 25, 1, 113, 153,
    105, 1, 3, 5, 11, 19, 15, 3, 245, 443, 651, 1, 3, 7, 15, 13,
    35, 5, 167, 233, 9, 1, 3, 5, 11, 21, 63, 95, 45, 411, 189, 1,
    1, 7, 7, 31, 11, 81, 87, 15, 677, 1, 3, 3, 9, 13, 21, 27,
    215, 459, 923, 1, 1, 1, 9, 13, 49, 23, 7, 441, 31, 1, 3, 1,
    7, 27, 19, 5, 71, 391, 159, 1, 3, 7, 9, 9, 55, 77, 95, 353,
    519, 1, 3, 1, 1, 23, 51, 51, 113, 33, 725, 1, 3, 3, 1, 21,
    3, 107, 223, 261, 913, 1, 1, 1, 7, 9, 31, 83, 219, 285, 695, 1,
    1, 3, 15, 1, 1, 23, 49, 39, 485, 1, 1, 1, 9, 5, 61, 71,
    121, 427, 83, 1, 1, 3, 3, 5, 45, 111, 227, 261, 957, 1, 3, 7,
    7, 17, 51, 61, 85, 183, 831, 1, 3, 3, 5, 13, 35, 27, 135, 189,
    743, 1, 3, 1, 5, 7, 5, 7, 149, 333, 287, 1, 3, 1, 13, 19,
    57, 127, 201, 365, 359, 1, 1, 5, 9, 27, 23, 79, 173, 227, 299, 1,
    1, 7, 7, 9, 35, 123, 1, 289, 43, 1, 1, 5, 15, 15, 17, 57,
    175, 97, 585, 1, 1, 3, 13, 9, 23, 123, 45, 463, 137, 1, 3, 1,
    9, 19, 3, 81, 35, 221, 75, 1, 3, 7, 13, 31, 41, 53, 207, 253,
    957, 1, 1, 1, 5, 1, 35, 51, 67, 289, 417, 1, 1, 1, 11, 27,
    21, 121, 235, 49, 3, 1, 3, 7, 5, 15, 59, 25, 43, 141, 965, 1,
    1, 5, 3, 7, 23, 121, 161, 223, 245, 1, 3, 7, 15, 5, 5, 49,
    235, 329, 777, 1, 3, 1, 11, 7, 49, 41, 187, 221, 639, 1, 1, 5,
    9, 1, 11, 41, 39, 319, 203, 1, 3, 3, 3, 21, 61, 23, 233, 397,
    251, 1, 1, 1, 1, 27, 49, 87, 251, 371, 973, 1, 1, 5, 11, 11,
    43, 57, 59, 153, 695, 1, 1, 3, 7, 29, 57, 87, 17, 129, 511, 1,
    3, 7, 7, 5, 39, 71, 27, 59, 49, 1, 3, 3, 5, 1, 49, 65,
    87, 453, 515, 1, 3, 3, 9, 19, 3, 3, 167, 85, 653, 1, 1, 7,
    15, 7, 51, 67, 37, 245, 943, 1, 1, 5, 7, 1, 7, 21, 5, 135,
    999, 1, 3, 3, 5, 19, 1, 7, 179, 405, 589, 1, 1, 3, 15, 3,
    3, 43, 79, 501, 287, 1, 1, 3, 9, 21, 39, 59, 181, 99, 737, 1,
    3, 7, 1, 3, 11, 91, 33, 273, 651, 1, 1, 5, 11, 23, 47, 97,
    253, 465, 741, 1, 1, 5, 1, 7, 45, 33, 203, 297, 193, 1, 1, 5,
    3, 31, 55, 63, 41, 243, 953, 1, 3, 5, 9, 9, 53, 51, 71, 281,
    447, 1, 3, 3, 9, 5, 63, 77, 89, 213, 527, 1, 1, 3, 11, 31,
    15, 3, 91, 321, 997, 1, 3, 5, 7, 31, 27, 117, 179, 389, 645, 1,
    3, 3, 9, 21, 37, 41, 49, 143, 401, 1, 3, 1, 3, 31, 57, 77,
    129, 49, 245, 1, 3, 1, 15, 27, 7, 23, 69, 177, 1009, 1, 3, 3,
    3, 11, 9, 101, 141, 313, 739, 1, 1, 3, 13, 27, 31, 27, 129, 139,
    645, 1, 3, 7, 5, 7, 11, 99, 145, 313, 641, 1, 3, 1, 13, 15,
    3, 55, 183, 153, 743, 1, 3, 5, 1, 23, 63, 53, 237, 267, 333, 1,
    3, 1, 9, 5, 27, 45, 49, 9, 911, 1, 1, 3, 9, 11, 51, 97,
    231, 295, 877, 353, 1, 3, 7, 3, 15, 55, 125, 241, 149, 417, 449, 1,
    1, 7, 1, 7, 31, 89, 91, 259, 819, 849, 1, 3, 1, 11, 3, 9,
    79, 77, 195, 39, 937, 1, 1, 3, 15, 27, 37, 123, 233, 221, 661, 323,
    1, 3, 7, 7, 31, 59, 121, 71, 19, 723, 1713, 1, 1, 5, 5, 23,
    43, 75, 201, 7, 565, 293, 1, 1, 1, 3, 13, 39, 115, 209, 239, 439,
    1623, 1, 3, 7, 5, 29, 39, 69, 241, 71, 465, 77, 1, 1, 1, 13,
    17, 1, 91, 67, 491, 969, 1709, 1, 3, 1, 3, 7, 37, 17, 185, 365,
    571, 757, 1, 1, 5, 1, 29, 47, 87, 65, 171, 893, 1659, 1, 3, 5,
    5, 13, 5, 21, 151, 91, 801, 1415, 1, 3, 3, 13, 27, 35, 81, 49,
    417, 315, 1039, 1, 3, 3, 7, 13, 11, 63, 19, 35, 659, 83, 1, 1,
    1, 15, 11, 55, 43, 181, 45, 657, 681, 1, 3, 7, 1, 23, 9, 73,
    55, 143, 731, 401, 1, 1, 3, 1, 5, 49, 125, 1, 113, 41, 1733, 1,
    1, 3, 5, 21, 63, 45, 119, 67, 499, 141, 1, 3, 5, 11, 29, 39,
    45, 93, 415, 515, 413, 1, 1, 7, 15, 5, 3, 79, 201, 5, 473, 55,
    1, 1, 3, 7, 25, 31, 55, 61, 175, 919, 2047, 1, 1, 7, 3, 31,
    61, 15, 147, 409, 249, 1677, 1, 3, 3, 9, 11, 37, 9, 65, 383, 689,
    111, 1, 1, 5, 1, 31, 23, 93, 15, 327, 973, 765, 1, 3, 7, 15,
    25, 17, 115, 245, 205, 169, 13, 1, 1, 5, 15, 15, 27, 109, 39, 289,
    135, 693, 1, 1, 7, 3, 23, 1, 119, 199, 1, 661, 1741, 1, 3, 5,
    13, 7, 29, 3, 55, 369, 903, 715, 1, 1, 5, 1, 29, 19, 31, 7,
    165, 1019, 467, 1, 1, 7, 11, 27, 33, 105, 27, 271, 55, 475, 1, 1,
    5, 1, 27, 9, 63, 157, 507, 491, 1525, 1, 3, 3, 9, 1, 41, 71,
    239, 471, 147, 505, 1, 3, 3, 1, 25, 11, 1, 35, 127, 583, 2043, 1,
    3, 7, 15, 1, 13, 119, 183, 89, 555, 1739, 1, 1, 1, 3, 3, 45,
    61, 163, 357, 679, 641, 1, 3, 5, 13, 23, 27, 57, 125, 393, 917, 939,
    1, 1, 3, 9, 9, 21, 85, 105, 111, 537, 733, 1, 1, 3, 15, 9,
    61, 43, 103, 65, 227, 315, 1, 1, 7, 9, 9, 7, 31, 219, 293, 441,
    559, 1, 1, 3, 1, 23, 21, 25, 229, 303, 537, 1655, 1, 3, 7, 7,
    31, 5, 21, 177, 435, 899, 1939, 1, 3, 3, 3, 11, 43, 77, 131, 353,
    11, 157, 1, 3, 3, 3, 5, 45, 13, 39, 459, 261, 237, 1, 3, 5,
    7, 23, 1, 55, 63, 9, 755, 589, 1, 1, 7, 5, 3, 11, 59, 167,
    145, 459, 617, 1, 3, 1, 13, 31, 49, 53, 235, 1, 37, 1373, 1, 1,
    7, 11, 27, 63, 21, 59, 183, 297, 15, 1, 3, 7, 15, 3, 61, 57,
    205, 359, 799, 1591, 1, 1, 1, 3, 29, 29, 121, 193, 405, 161, 909, 1,
    1, 5, 5, 15, 43, 19, 87, 337, 595, 551, 1, 3, 3, 7, 27, 23,
    109, 127, 107, 793, 787, 1, 1, 3, 5, 9, 11, 63, 21, 363, 403, 981,
    1, 1, 3, 5, 1, 39, 43, 71, 5, 151, 1535, 1, 1, 7, 3, 1,
    33, 65, 249, 81, 889, 1591, 1, 3, 5, 11, 15, 53, 117, 47, 13, 215,
    1953, 1, 1, 3, 13, 15, 13, 49, 209, 137, 403, 1373, 1, 1, 3, 15,
    25, 13, 123, 193, 275, 235, 1975, 1, 3, 1, 3, 21, 55, 109, 115, 411,
    413, 2023, 1, 3, 3, 1, 5, 7, 53, 161, 221, 529, 489, 1, 1, 3,
    5, 25, 27, 103, 31, 7, 103, 343, 1, 1, 7, 11, 19, 47, 45, 201,
    499, 255, 1501, 1, 3, 1, 1, 5, 7, 79, 113, 445, 515, 287, 1, 1,
    7, 11, 7, 35, 87, 145, 115, 773, 1415, 1, 1, 1, 13, 15, 25, 83,
    143, 347, 473, 415, 1, 3, 1, 11, 23, 45, 79, 245, 81, 835, 589, 1,
    1, 1, 13, 25, 49, 17, 15, 255, 421, 1195, 1, 1, 3, 1, 13, 31,
    103, 189, 43, 389, 1497, 1, 3, 5, 7, 3, 63, 21, 151, 339, 525, 455,
    1, 3, 3, 13, 23, 29, 101, 25, 461, 631, 2017, 1, 1, 5, 13, 7,
    57, 11, 181, 215, 911, 463, 1, 3, 7, 1, 1, 45, 41, 101, 263, 835,
    1985, 1, 3, 3, 3, 25, 13, 127, 245, 137, 709, 993, 1, 3, 7, 3,
    5, 19, 23, 55, 51, 367, 1513, 1, 1, 5, 3, 13, 39, 101, 119, 119,
    835, 875, 1, 1, 7, 13, 17, 27, 103, 31, 223, 461, 1267, 1, 3, 5,
    13, 29, 29, 29, 189, 13, 647, 1931, 1, 3, 5, 15, 9, 27, 127, 43,
    341, 939, 1981, 1, 1, 7, 11, 27, 27, 25, 163, 83, 709, 141, 1, 3,
    7, 15, 31, 45, 119, 141, 181, 231, 411, 1, 1, 5, 9, 31, 25, 113,
    243, 435, 55, 765, 1, 1, 7, 9, 27, 5, 63, 23, 133, 767, 1963, 1,
    3, 7, 9, 9, 55, 97, 159, 371, 1013, 2013, 1, 1, 3, 7, 3, 17,
    13, 215, 15, 281, 291, 1, 3, 5, 9, 29, 7, 71, 9, 181, 763, 1111,
    1, 3, 7, 13, 23, 55, 79, 99, 165, 447, 1947, 1, 3, 7, 7, 29,
    59, 25, 41, 313, 665, 1245, 1, 1, 3, 3, 5, 29, 71, 71, 475, 781,
    567, 1, 1, 1, 3, 19, 53, 61, 215, 475, 885, 459, 1, 3, 3, 13,
    5, 31, 95, 137, 119, 249, 975, 1, 1, 1, 15, 21, 51, 71, 21, 193,
    709, 1167, 1, 3, 7, 9, 29, 61, 45, 153, 351, 867, 995, 1, 1, 1,
    15, 7, 37, 65, 51, 45, 497, 1825, 1, 3, 3, 1, 23, 59, 11, 127,
    501, 351, 1525, 1, 1, 3, 15, 31, 29, 47, 105, 179, 159, 991, 1, 3,
    3, 15, 27, 23, 93, 163, 169, 1003, 1369, 1, 3, 1, 5, 31, 51, 85,
    221, 87, 941, 317, 1, 3, 7, 15, 21, 19, 71, 205, 385, 371, 1401, 1,
    1, 5, 11, 1, 51, 31, 185, 407, 233, 1171, 1, 3, 3, 9, 19, 11,
    93, 253, 373, 679, 69, 1, 1, 7, 15, 23, 45, 87, 61, 113, 541, 1701,
    1, 1, 5, 7, 7, 61, 55, 167, 345, 633, 1699, 1, 3, 7, 7, 1,
    23, 121, 33, 507, 361, 1945, 1, 3, 7, 1, 19, 47, 43, 101, 67, 57,
    1685, 1, 3, 3, 3, 25, 63, 53, 149, 483, 551, 1519, 1, 3, 1, 3,
    27, 1, 41, 213, 57, 897, 121, 1, 3, 1, 5, 19, 13, 49, 81, 239,
    455, 957, 1, 1, 3, 7, 15, 23, 89, 171, 319, 117, 2041, 1, 1, 3,
    13, 3, 13, 41, 15, 145, 659, 973, 1, 3, 7, 1, 15, 17, 69, 53,
    245, 179, 159, 1, 3, 3, 5, 5, 3, 113, 183, 219, 469, 1169, 1, 1,
    5, 15, 13, 45, 89, 87, 371, 267, 1643, 1, 3, 5, 5, 1, 25, 3,
    247, 309, 401, 2027, 1, 3, 1, 11, 13, 7, 79, 17, 297, 679, 1699, 1,
    3, 1, 5, 13, 19, 123, 255, 343, 393, 1635, 1, 3, 3, 15, 13, 13,
    37, 229, 483, 283, 1423, 1, 3, 1, 1, 7, 37, 65, 67, 77, 247, 1539,
    1, 1, 3, 5, 25, 39, 37, 19, 231, 835, 797, 1, 1, 1, 11, 27,
    53, 1, 217, 211, 7, 801, 1, 3, 7, 1, 15, 55, 69, 77, 491, 61,
    55, 1, 1, 1, 1, 29, 21, 47, 167, 281, 105, 1363, 1, 3, 1, 15,
    15, 55, 57, 207, 479, 709, 867, 1, 1, 1, 9, 7, 13, 115, 237, 47,
    127, 1849, 1, 1, 7, 9, 7, 35, 83, 63, 155, 441, 1105, 1, 3, 3,
    9, 17, 39, 19, 231, 491, 593, 1997, 1, 3, 3, 13, 17, 19, 65, 21,
    389, 391, 483, 1, 1, 5, 7, 17, 7, 97, 173, 413, 917, 1691, 1, 1,
    3, 3, 29, 49, 3, 127, 337, 713, 1057, 1, 3, 7, 5, 31, 23, 31,
    119, 161, 51, 537, 1, 1, 5, 1, 29, 25, 15, 187, 143, 927, 715, 1,
    1, 7, 11, 15, 47, 55, 103, 109, 465, 1439, 1, 1, 3, 13, 31, 47,
    115, 177, 355, 163, 833, 1, 3, 5, 5, 31, 13, 15, 163, 57, 937, 1553,
    1, 3, 5, 15, 7, 29, 47, 139, 231, 507, 595, 1, 3, 1, 15, 31,
    13, 49, 253, 29, 109, 727, 1, 1, 5, 15, 21, 1, 107, 89, 367, 825,
    1297, 1, 3, 3, 9, 31, 21, 31, 247, 375, 767, 1761, 1, 1, 7, 3,
    31, 33, 119, 119, 409, 955, 1411, 1, 1, 7, 1, 17, 57, 101, 37, 147,
    367, 265, 1, 3, 3, 3, 25, 53, 91, 43, 351, 1021, 1243, 1, 3, 3,
    5, 11, 47, 107, 209, 251, 765, 1089, 1, 1, 7, 5, 9, 13, 23, 153,
    367, 585, 315, 1, 3, 3, 15, 23, 57, 83, 173, 413, 555, 159, 1, 3,
    7, 15, 7, 59, 31, 233, 67, 767, 75, 1, 3, 5, 3, 17, 1, 35,
    37, 445, 847, 1853, 1, 3, 5, 13, 3, 1, 75, 113, 83, 467, 1057, 1,
    1, 7, 1, 7, 15, 125, 31, 341, 133, 285, 1, 1, 5, 5, 15, 11,
    97, 3, 59, 777, 1125, 1, 3, 7, 9, 17, 55, 117, 255, 429, 239, 1071,
    1, 1, 7, 3, 27, 37, 31, 221, 385, 877, 1767, 1, 1, 5, 1, 5,
    31, 43, 23, 77, 497, 1605, 1, 3, 5, 15, 15, 37, 103, 227, 33, 185,
    481, 1, 3, 3, 11, 29, 61, 67, 53, 257, 609, 1581, 1, 1, 3, 15,
    31, 25, 123, 59, 395, 107, 587, 1, 3, 1, 7, 29, 19, 51, 135, 503,
    71, 33, 1, 3, 1, 15, 21, 31, 23, 85, 17, 227, 657, 1, 1, 1,
    3, 9, 63, 61, 205, 61, 699, 599, 1, 3, 1, 15, 1, 39, 45, 133,
    1, 391, 255, 1, 3, 5, 13, 17, 13, 107, 245, 55, 619, 1085, 1, 3,
    3, 9, 5, 25, 5, 49, 509, 661, 1225, 1, 3, 7, 9, 29, 61, 13,
    247, 341, 257, 1551, 1, 3, 7, 9, 5, 39, 123, 221, 391, 501, 527, 1,
    3, 1, 7, 21, 23, 65, 233, 181, 405, 1297, 1, 1, 1, 3, 23, 23,
    15, 253, 37, 679, 1455, 1, 3, 3, 3, 3, 31, 89, 105, 11, 1015, 1837,
    1, 3, 1, 7, 15, 59, 105, 179, 477, 923, 1189, 1, 3, 5, 9, 1,
    9, 21, 71, 145, 409, 1235, 1, 1, 7, 13, 9, 43, 85, 241, 497, 683,
    1169, 1, 3, 3, 13, 29, 41, 23, 51, 1, 563, 905, 1, 3, 5, 9,
    25, 51, 1, 71, 25, 195, 363, 1, 3, 7, 7, 31, 49, 13, 255, 471,
    653, 1127, 1, 3, 3, 7, 7, 61, 63, 21, 413, 817, 1369, 1, 3, 5,
    1, 7, 53, 43, 167, 173, 261, 633, 1, 1, 1, 13, 21, 59, 49, 135,
    351, 187, 447, 1, 1, 3, 7, 5, 35, 103, 5, 247, 555, 1439, 1, 1,
    3, 1, 3, 11, 5, 153, 507, 21, 1331, 1, 3, 7, 15, 25, 11, 29,
    51, 353, 447, 337, 3621, 1, 3, 5, 13, 31, 51, 103, 69, 311, 645, 1373,
    1155, 1, 1, 7, 7, 1, 55, 101, 203, 503, 711, 131, 937, 1, 3, 3,
    11, 7, 5, 75, 63, 217, 643, 871, 3511, 1, 1, 3, 15, 21, 23, 75,
    3, 113, 203, 13, 2727, 1, 3, 5, 11, 7, 1, 27, 39, 411, 195, 607,
    1705, 1, 1, 7, 11, 23, 21, 11, 113, 437, 947, 1897, 1249, 1, 1, 7,
    5, 23, 45, 41, 169, 33, 981, 1331, 2013, 1, 3, 1, 7, 11, 5, 11,
    121, 239, 269, 1759, 829, 1, 1, 1, 9, 31, 51, 77, 61, 19, 121, 969,
    3627, 1, 3, 1, 13, 23, 45, 39, 183, 21, 787, 967, 1911, 1, 1, 1,
    15, 21, 19, 91, 231, 325, 531, 473, 2543, 1, 3, 5, 3, 7, 25, 91,
    193, 387, 181, 493, 1225, 1, 1, 7, 7, 23, 21, 55, 221, 283, 995, 793,
    485, 1, 1, 1, 15, 29, 61, 1, 33, 59, 725, 1053, 55, 1, 3, 3,
    5, 15, 43, 85, 87, 425, 39, 1559, 1403, 1, 1, 5, 9, 3, 7, 65,
    3, 177, 491, 121, 2755, 1, 1, 3, 3, 15, 37, 67, 145, 295, 421, 1849,
    2151, 1, 1, 3, 15, 17, 41, 109, 125, 509, 407, 1927, 2401, 1, 1, 7,
    5, 9, 39, 69, 1, 259, 821, 1837, 947, 1, 1, 7, 9, 25, 55, 127,
    185, 143, 211, 1615, 1949, 1, 3, 3, 13, 15, 25, 25, 231, 197, 329, 1319,
    853, 1, 3, 7, 11, 29, 1, 23, 131, 473, 497, 1147, 3779, 1, 3, 1,
    15, 21, 23, 67, 243, 191, 353, 1091, 2121, 1, 1, 7, 11, 27, 15, 41,
    183, 235, 219, 303, 795, 1, 3, 7, 15, 3, 21, 19, 187, 365, 453, 1069,
    1983, 1, 1, 7, 1, 27, 11, 95, 117, 433, 453, 1839, 3863, 1, 3, 3,
    5, 29, 63, 17, 243, 247, 609, 1999, 785, 1, 1, 1, 7, 21, 17, 57,
    99, 227, 217, 585, 397, 1, 1, 1, 13, 13, 41, 75, 153, 355, 175, 313,
    2237, 1, 3, 7, 9, 27, 63, 1, 33, 383, 507, 1315, 1691, 1, 1, 3,
    3, 17, 33, 65, 235, 395, 317, 1769, 2937, 1, 3, 1, 5, 31, 19, 25,
    15, 373, 823, 2003, 1309, 1, 3, 3, 5, 3, 33, 43, 225, 445, 181, 325,
    797, 1, 1, 3, 1, 11, 19, 49, 129, 73, 983, 621, 2381, 1, 3, 3,
    15, 1, 33, 109, 33, 363, 925, 589, 3955, 1, 1, 3, 3, 11, 21, 23,
    99, 159, 949, 977, 3103, 1, 1, 5, 3, 3, 15, 41, 45, 325, 703, 907,
    2467, 1, 1, 7, 15, 31, 11, 71, 225, 199, 521, 933, 2777, 1, 3, 5,
    9, 13, 55, 23, 199, 293, 297, 2031, 3815, 1, 1, 3, 13, 25, 5, 25,
    229, 301, 301, 1165, 2229, 1, 1, 1, 11, 1, 39, 25, 211, 233, 233, 355,
    3131, 1, 3, 3, 9, 31, 37, 113, 17, 163, 547, 877, 333, 1, 1, 7,
    1, 31, 7, 117, 175, 191, 191, 1185, 2637, 1, 1, 3, 11, 27, 59, 33,
    79, 293, 657, 1899, 1547, 1, 3, 1, 7, 29, 43, 89, 227, 315, 971, 1175,
    693, 1, 1, 1, 5, 9, 43, 17, 37, 321, 907, 441, 21, 1, 3, 1,
    15, 25, 47, 21, 11, 385, 353, 1103, 3445, 1, 1, 7, 9, 21, 63, 9,
    147, 79, 627, 471, 1683, 1, 3, 7, 7, 1, 13, 29, 127, 3, 629, 1213,
    2981, 1, 1, 5, 9, 7, 41, 41, 235, 131, 379, 23, 1251, 1, 3, 5,
    3, 17, 31, 101, 193, 271, 189, 1923, 1849, 1, 1, 1, 5, 21, 43, 35,
    209, 359, 185, 1921, 2773, 1, 1, 7, 5, 31, 5, 41, 127, 415, 151, 1027,
    2171, 1, 1, 1, 3, 31, 53, 127, 37, 273, 415, 1657, 467, 1, 3, 7,
    3, 29, 43, 77, 35, 347, 37, 1265, 1211, 1, 1, 1, 1, 3, 31, 89,
    57, 405, 491, 1685, 2727, 1, 3, 5, 15, 29, 9, 23, 79, 253, 161, 273,
    4001, 1, 3, 3, 13, 29, 49, 73, 145, 203, 215, 423, 3293, 1, 1, 5,
    15, 29, 43, 49, 99, 335, 1017, 315, 2761, 1, 3, 1, 9, 15, 39, 87,
    243, 331, 1015, 1771, 1303, 1, 1, 1, 5, 5, 1, 15, 19, 277, 699, 1957,
    373, 1, 1, 7, 1, 7, 13, 41, 211, 167, 705, 1011, 2097, 1, 1, 7,
    9, 3, 25, 127, 75, 271, 817, 629, 2027, 1, 3, 1, 5, 31, 49, 17,
    113, 71, 233, 443, 3005, 1, 1, 1, 1, 1, 23, 87, 29, 121, 485, 227,
    2981, 1, 1, 1, 1, 19, 3, 127, 31, 57, 567, 375, 1121, 1, 1, 1,
    9, 15, 49, 67, 49, 473, 957, 1955, 29, 1, 1, 1, 1, 15, 49, 71,
    241, 43, 611, 953, 4013, 1, 3, 3, 3, 13, 57, 45, 65, 5, 101, 511,
    3317, 1, 3, 3, 7, 25, 9, 97, 35, 495, 791, 223, 1555, 1, 1, 3,
    1, 25, 37, 73, 61, 31, 525, 855, 695, 1, 3, 5, 11, 15, 45, 11,
    53, 393, 557, 349, 2507, 1, 1, 5, 11, 1, 43, 77, 215, 149, 81, 1663,
    987, 1, 3, 5, 5, 13, 55, 45, 79, 305, 65, 1721, 605, 1, 1, 1,
    3, 15, 19, 103, 249, 253, 935, 1933, 3809, 1, 1, 1, 11, 1, 43, 119,
    233, 79, 539, 1397, 1669, 1, 1, 7, 15, 9, 27, 29, 125, 335, 573, 1721,
    551, 1, 1, 5, 11, 29, 33, 121, 47, 351, 857, 1155, 2939, 1, 1, 1,
    13, 21, 13, 107, 179, 135, 597, 39, 2129, 1, 3, 5, 15, 11, 5, 101,
    227, 457, 773, 1369, 2229, 1, 1, 7, 3, 9, 47, 53, 47, 315, 221, 369,
    2991, 1, 3, 7, 9, 7, 1, 117, 229, 193, 105, 1591, 875, 1, 3, 1,
    13, 5, 49, 47, 95, 431, 37, 2037, 3793, 1, 1, 3, 11, 17, 39, 91,
    225, 109, 375, 1431, 3689, 1, 3, 5, 7, 27, 39, 23, 215, 55, 573, 965,
    321, 1, 1, 3, 13, 1, 51, 23, 181, 399, 471, 429, 2409, 1, 1, 7,
    9, 17, 21, 43, 177, 327, 789, 1581, 3505, 1, 1, 7, 7, 9, 39, 59,
    187, 203, 655, 545, 2107, 1, 1, 7, 3, 15, 13, 83, 189, 213, 575, 255,
    1475, 1, 1, 1, 3, 23, 27, 101, 67, 299, 1003, 1351, 1799, 1, 3, 3,
    9, 13, 29, 83, 251, 151, 607, 2047, 447, 1, 3, 1, 5, 5, 7, 23,
    145, 241, 437, 1215, 489, 1, 3, 1, 11, 3, 63, 55, 53, 187, 179, 1137,
    3923, 1, 3, 7, 11, 31, 29, 127, 37, 509, 835, 1693, 965, 1, 1, 1,
    9, 29, 1, 11, 61, 459, 415, 317, 2981, 1, 3, 7, 3, 1, 61, 31,
    77, 55, 301, 1333, 2803, 1, 1, 7, 13, 3, 1, 117, 185, 385, 771, 409,
    3667, 1, 1, 5, 13, 19, 3, 43, 53, 41, 111, 1617, 95, 1, 3, 7,
    13, 25, 25, 125, 91, 85, 99, 461, 3999, 1, 3, 5, 7, 7, 29, 15,
    155, 237, 443, 1187, 623, 1, 3, 3, 1, 11, 3, 35, 169, 449, 917, 141,
    1525, 1, 1, 5, 7, 17, 11, 85, 31, 165, 35, 1069, 3395, 1, 3, 7,
    15, 11, 21, 89, 61, 459, 211, 959, 2411, 1, 1, 5, 11, 25, 35, 1,
    137, 491, 955, 1287, 3955, 1, 3, 3, 11, 13, 47, 105, 69, 119, 455, 769,
    1665, 1, 3, 3, 13, 17, 9, 27, 25, 445, 611, 855, 1273, 1, 1, 3,
    9, 3, 5, 107, 89, 443, 991, 727, 871, 1, 1, 5, 3, 19, 43, 93,
    163, 193, 395, 99, 1717, 1, 1, 1, 7, 23, 43, 121, 205, 249, 255, 1763,
    1867, 1, 1, 3, 3, 1, 45, 33, 191, 475, 503, 761, 1845, 1, 1, 3,
    3, 31, 39, 11, 203, 9, 183, 407, 3787, 1, 1, 5, 11, 11, 3, 65,
    175, 131, 757, 1717, 1003, 1, 1, 1, 15, 13, 61, 29, 123, 269, 531, 257,
    1399, 1, 3, 5, 5, 13, 23, 23, 1, 293, 921, 79, 479, 1, 1, 3,
    13, 9, 55, 21, 15, 47, 685, 829, 2679, 1, 3, 5, 11, 1, 39, 97,
    59, 37, 787, 991, 263, 1, 3, 5, 15, 31, 3, 45, 159, 219, 161, 1025,
    665, 1, 3, 7, 15, 11, 51, 51, 19, 181, 125, 1677, 2125, 1, 1, 3,
    5, 27, 23, 79, 161, 97, 581, 405, 2239, 1, 3, 1, 11, 17, 1, 97,
    33, 31, 771, 707, 1053, 1, 1, 1, 11, 11, 51, 113, 47, 51, 827, 385,
    3211, 1, 3, 3, 7, 17, 3, 99, 57, 59, 199, 1359, 2459, 1, 1, 5,
    11, 1, 7, 19, 37, 53, 435, 1095, 495, 1, 1, 5, 13, 19, 5, 95,
    109, 245, 737, 1163, 33, 1, 3, 5, 3, 1, 17, 79, 195, 153, 857, 603,
    2905, 1, 3, 5, 5, 31, 51, 71, 103, 121, 5, 931, 217, 1, 1, 5,
    7, 31, 39, 11, 9, 223, 365, 1317, 449, 1, 3, 5, 3, 17, 19, 85,
    121, 161, 75, 527, 3941, 1, 3, 5, 9, 17, 53, 41, 255, 207, 251, 925,
    2395, 1, 3, 3, 3, 13, 5, 109, 125, 293, 165, 1715, 1017, 1, 3, 7,
    1, 23, 27, 45, 141, 267, 187, 611, 59, 1, 3, 1, 9, 11, 9, 81,
    239, 469, 905, 525, 1549, 1, 1, 1, 15, 13, 21, 71, 87, 199, 389, 139,
    3499, 1, 3, 7, 5, 21, 41, 107, 195, 369, 391, 271, 3351, 1, 3, 3,
    1, 17, 19, 75, 219, 415, 241, 1441, 967, 1, 1, 1, 15, 7, 7, 79,
    213, 391, 831, 1649, 3741, 1, 3, 5, 3, 29, 57, 99, 207, 243, 915, 1969,
    2499, 1, 1, 3, 13, 1, 3, 27, 211, 271, 657, 1251, 3333, 1, 3, 3,
    1, 3, 31, 49, 53, 273, 837, 1771, 1405, 1, 3, 7, 7, 1, 33, 125,
    221, 179, 601, 565, 2709, 1, 1, 1, 7, 31, 19, 81, 173, 413, 849, 579,
    2487, 1, 1, 7, 11, 17, 23, 97, 145, 383, 1015, 547, 483, 1, 3, 1,
    3, 11, 63, 41, 175, 43, 283, 1441, 2695, 1, 1, 7, 9, 5, 23, 61,
    161, 149, 49, 1851, 1281, 4615, 1, 1, 5, 7, 23, 47, 111, 213, 317, 107,
    849, 1563, 6863, 1, 1, 7, 9, 31, 53, 115, 233, 497, 23, 1395, 327, 551,
    1, 1, 7, 13, 21, 51, 17, 109, 29, 1003, 1221, 2175, 4645, 1, 3, 3,
    15, 7, 57, 103, 131, 63, 217, 607, 2311, 1237, 1, 3, 5, 3, 19, 27,
    107, 223, 15, 149, 1777, 2211, 2241, 1, 1, 1, 1, 5, 37, 87, 59, 435,
    37, 1771, 1675, 6241, 1, 3, 1, 7, 29, 51, 83, 41, 11, 545, 995, 1625,
    4883, 1, 1, 1, 5, 15, 43, 57, 111, 55, 921, 567, 1767, 1849, 1, 1,
    5, 15, 5, 49, 3, 23, 307, 691, 1727, 2297, 6705, 1, 3, 7, 5, 31,
    1, 111, 53, 499, 1017, 1889, 1955, 1327, 1, 3, 7, 11, 17, 35, 71, 223,
    149, 743, 319, 3157, 5961, 1, 1, 1, 3, 21, 31, 27, 79, 353, 753, 341,
    2121, 5455, 1, 1, 5, 3, 21, 29, 27, 91, 111, 359, 27, 2383, 7149, 1,
    3, 7, 9, 5, 51, 115, 65, 275, 211, 1519, 2247, 2065, 1, 1, 1, 15,
    27, 7, 21, 173, 79, 357, 693, 873, 879, 1, 3, 1, 7, 25, 47, 53,
    123, 491, 707, 1723, 1139, 3757, 1, 1, 7, 5, 15, 55, 103, 17, 17, 345,
    1477, 3423, 7527, 1, 3, 1, 13, 1, 3, 55, 85, 251, 389, 631, 117, 4879,
    1, 1, 7, 1, 29, 33, 17, 3, 303, 299, 465, 1709, 1111, 1, 1, 7,
    5, 3, 29, 111, 249, 383, 611, 859, 1555, 7387, 1, 3, 5, 5, 29, 41,
    33, 63, 395, 53, 351, 247, 5317, 1, 1, 5, 7, 11, 63, 121, 131, 249,
    451, 619, 2395, 4575, 1, 3, 7, 3, 3, 43, 37, 211, 385, 289, 791, 735,
    4683, 1, 1, 3, 11, 7, 13, 53, 7, 497, 771, 903, 119, 6601, 1, 3,
    7, 1, 3, 61, 117, 237, 427, 335, 1749, 3105, 6493, 1, 3, 5, 7, 11,
    55, 121, 93, 3, 953, 433, 2663, 1633, 1, 1, 7, 1, 7, 51, 43, 31,
    31, 819, 791, 1071, 569, 1, 3, 5, 11, 17, 37, 71, 97, 69, 681, 1133,
    2425, 3217, 1, 1, 1, 15, 9, 15, 31, 131, 113, 567, 593, 1781, 6715, 1,
    1, 7, 9, 29, 25, 39, 159, 495, 507, 1253, 409, 6723, 1, 1, 1, 5,
    13, 29, 25, 197, 489, 853, 87, 3173, 6389, 1, 1, 7, 11, 11, 7, 27,
    227, 347, 777, 893, 1007, 1953, 1, 1, 3, 7, 31, 9, 61, 39, 251, 1,
    1297, 2861, 2593, 1, 1, 5, 1, 15, 45, 3, 147, 143, 279, 2045, 649, 5579,
    1, 1, 5, 5, 9, 51, 3, 249, 253, 533, 1305, 1749, 1287, 1, 3, 7,
    9, 13, 15, 85, 165, 183, 943, 41, 4061, 5845, 1, 3, 3, 1, 23, 31,
    49, 247, 287, 83, 1833, 1249, 2789, 1, 3, 3, 7, 7, 53, 125, 211, 145,
    837, 515, 1971, 6201, 1, 3, 3, 11, 13, 11, 87, 11, 33, 355, 1049, 3053,
    4801, 1, 3, 5, 13, 23, 25, 63, 221, 385, 217, 687, 455, 4083, 1, 1,
    5, 1, 3, 21, 119, 79, 207, 693, 925, 1519, 3981, 1, 1, 3, 11, 21,
    35, 21, 21, 297, 461, 793, 1679, 1285, 1, 3, 5, 13, 31, 23, 11, 129,
    189, 933, 283, 3435, 4593, 1, 3, 1, 1, 13, 11, 113, 35, 199, 149, 181,
    3183, 6205, 1, 3, 1, 9, 7, 59, 105, 161, 63, 821, 13, 2561, 755, 1,
    1, 1, 7, 27, 3, 87, 243, 279, 13, 1341, 2383, 6005, 1, 3, 3, 13,
    27, 25, 91, 205, 275, 663, 1875, 2399, 4179, 1, 1, 7, 15, 27, 25, 51,
    235, 391, 951, 759, 285, 3443, 1, 3, 3, 5, 1, 33, 57, 107, 137, 851,
    1937, 1003, 2427, 1, 1, 5, 11, 27, 3, 27, 81, 303, 151, 433, 1893, 587,
    1, 1, 1, 9, 25, 45, 113, 173, 471, 191, 1031, 2119, 4853, 1, 1, 7,
    11, 27, 23, 107, 229, 485, 197, 1925, 1809, 7775, 1, 1, 1, 3, 31, 61,
    91, 47, 3, 643, 1487, 2563, 3893, 1, 1, 7, 15, 19, 27, 97, 109, 283,
    67, 335, 3707, 1909, 1, 1, 1, 11, 23, 59, 101, 249, 121, 919, 1385, 2119,
    7389, 1, 1, 7, 11, 7, 29, 33, 111, 243, 617, 125, 3887, 727, 1, 1,
    3, 1, 7, 41, 91, 177, 315, 555, 1653, 1725, 8069, 1, 1, 5, 15, 3,
    63, 53, 31, 177, 451, 141, 3727, 1695, 1, 1, 3, 15, 25, 37, 17, 229,
    75, 705, 327, 1367, 807, 1, 3, 5, 5, 27, 1, 35, 97, 171, 167, 1077,
    25, 5497, 1, 1, 7, 7, 11, 17, 105, 41, 53, 389, 941, 3273, 967, 1,
    3, 3, 15, 11, 61, 125, 155, 361, 229, 1981, 1647, 5077, 1, 3, 1, 15,
    5, 11, 35, 203, 425, 509, 993, 1861, 1977, 1, 3, 5, 15, 25, 7, 55,
    89, 101, 939, 7, 3535, 7543, 1, 1, 3, 1, 19, 45, 117, 249, 261, 529,
    1299, 597, 7207, 1, 3, 5, 13, 17, 47, 73, 231, 353, 941, 325, 115, 4005,
    1, 3, 1, 9, 5, 29, 11, 161, 461, 793, 813, 3755, 7017, 1, 3, 3,
    15, 23, 21, 83, 47, 143, 279, 1009, 3315, 3801, 1, 1, 7, 9, 21, 55,
    31, 129, 325, 59, 701, 2227, 1491, 1, 1, 7, 1, 21, 41, 87, 151, 269,
    885, 795, 4087, 2919, 1, 1, 3, 11, 7, 19, 103, 45, 461, 109, 1921, 2497,
    4969, 1, 1, 3, 7, 7, 49, 9, 185, 95, 277, 1325, 2393, 7585, 1, 3,
    3, 13, 13, 1, 71, 77, 245, 865, 1693, 2187, 2589, 1, 3, 1, 15, 19,
    59, 17, 189, 101, 511, 23, 677, 4091, 1, 3, 5, 7, 9, 45, 45, 233,
    47, 973, 795, 2339, 595, 1, 3, 1, 7, 15, 35, 79, 53, 429, 299, 389,
    237, 2261, 1, 3, 1, 1, 9, 35, 27, 169, 85, 755, 145, 91, 257, 1,
    3, 7, 11, 25, 33, 41, 151, 11, 401, 1335, 2111, 3309, 1, 1, 7, 3,
    17, 1, 61, 253, 289, 917, 1157, 1513, 4783, 1, 1, 5, 7, 23, 51, 59,
    171, 161, 815, 969, 1199, 4137, 1, 3, 3, 7, 7, 27, 81, 175, 89, 145,
    19, 1469, 3775, 1, 3, 1, 7, 7, 33, 95, 179, 177, 375, 1077, 3711, 2903,
    1, 3, 1, 15, 15, 27, 127, 245, 307, 949, 1037, 3753, 4993, 1, 3, 3,
    7, 29, 15, 59, 39, 9, 331, 1877, 3565, 6483, 1, 1, 5, 3, 1, 41,
    29, 185, 351, 837, 747, 3263, 749, 1, 1, 7, 1, 19, 47, 1, 239, 489,
    79, 767, 1123, 8145, 1, 3, 7, 15, 7, 39, 23, 239, 465, 981, 185, 837,
    7837, 1, 3, 5, 5, 23, 15, 21, 221, 259, 663, 185, 1203, 2857, 1, 1,
    3, 5, 31, 43, 107, 199, 117, 161, 403, 2227, 7969, 1, 1, 3, 5, 5,
    5, 105, 153, 349, 601, 815, 939, 3547, 1, 1, 7, 15, 23, 33, 85, 51,
    309, 63, 1799, 1599, 1711, 1, 1, 7, 3, 15, 41, 71, 169, 87, 381, 1695,
    3189, 3343, 1, 1, 7, 11, 15, 57, 81, 107, 57, 773, 111, 2741, 6399, 1,
    1, 5, 15, 5, 55, 65, 35, 387, 797, 1093, 4039, 3041, 1, 1, 5, 3,
    29, 5, 87, 235, 503, 539, 483, 2785, 4211, 1, 1, 3, 5, 11, 53, 101,
    83, 61, 97, 411, 2063, 2951, 1, 1, 1, 5, 25, 33, 45, 253, 183, 251,
    1323, 1891, 5143, 1, 1, 5, 11, 7, 61, 67, 201, 465, 851, 1, 1533, 2839,
    1, 3, 3, 7, 15, 3, 51, 9, 425, 671, 223, 2203, 481, 1, 1, 1,
    7, 25, 5, 45, 153, 479, 437, 221, 1085, 455, 1, 3, 7, 1, 7, 53,
    65, 35, 153, 423, 989, 2779, 4787, 1, 3, 1, 3, 29, 43, 7, 219, 47,
    431, 627, 3735, 383, 1, 1, 5, 13, 31, 49, 121, 29, 235, 325, 1247, 1765,
    7173, 1, 1, 1, 9, 25, 15, 73, 167, 191, 215, 259, 111, 2289, 1, 3,
    7, 9, 23, 1, 119, 15, 155, 153, 1419, 667, 6309, 1, 1, 5, 13, 7,
    53, 91, 161, 445, 283, 571, 3623, 5737, 1, 3, 3, 5, 3, 39, 29, 47,
    393, 871, 345, 805, 8167, 1, 3, 1, 5, 21, 9, 1, 169, 471, 693, 53,
    967, 4145, 1, 3, 7, 11, 17, 19, 123, 133, 511, 15, 675, 3935, 5465, 1,
    3, 5, 13, 25, 51, 63, 87, 503, 61, 907, 105, 7599, 1, 3, 5, 13,
    27, 3, 67, 189, 193, 131, 1227, 227, 1975, 1, 3, 5, 5, 31, 17, 89,
    187, 391, 575, 1715, 2551, 5371, 1, 3, 1, 9, 11, 63, 9, 251, 399, 703,
    1557, 107, 675, 1, 3, 5, 15, 29, 55, 15, 65, 51, 811, 1387, 3815, 7973,
    1, 3, 1, 13, 19, 33, 87, 7, 183, 97, 2011, 3849, 3015, 1, 1, 3,
    11, 29, 57, 27, 185, 457, 181, 1341, 2033, 2181, 1, 3, 7, 5, 25, 19,
    19, 147, 101, 73, 499, 897, 3053, 1, 3, 5, 5, 29, 29, 109, 5, 197,
    581, 1829, 3679, 283, 1, 3, 5, 1, 27, 63, 71, 131, 309, 193, 1663, 3009,
    1041, 1, 3, 3, 5, 19, 29, 95, 173, 195, 205, 207, 3597, 2223, 1, 1,
    5, 1, 3, 45, 127, 251, 175, 663, 415, 1789, 6577, 1, 3, 1, 9, 1,
    51, 73, 165, 377, 525, 381, 2829, 4619, 1, 3, 1, 15, 23, 19, 79, 115,
    297, 75, 1505, 1407, 5865, 1, 1, 1, 5, 27, 33, 93, 123, 449, 747, 2027,
    51, 4507, 1, 3, 1, 7, 13, 39, 49, 111, 101, 247, 1375, 3577, 6769, 1,
    1, 7, 9, 19, 49, 35, 139, 57, 527, 1943, 1781, 1839, 1, 3, 7, 7,
    3, 7, 67, 163, 289, 139, 1415, 2149, 7501, 1, 3, 5, 5, 13, 47, 21,
    47, 3, 105, 473, 2013, 2443, 1, 1, 3, 13, 31, 25, 21, 75, 505, 795,
    1311, 2467, 5541, 1, 1, 5, 1, 25, 15, 21, 113, 427, 249, 293, 1089, 1589,
    1, 1, 7, 5, 17, 11, 3, 211, 219, 37, 781, 1299, 3669, 1, 3, 1,
    15, 23, 3, 55, 59, 273, 947, 1647, 3111, 2615, 1, 1, 3, 7, 21, 33,
    81, 253, 267, 499, 299, 4015, 1669, 1, 3, 7, 5, 5, 17, 75, 205, 53,
    237, 1791, 3671, 4205, 1, 3, 1, 5, 3, 59, 77, 39, 295, 649, 1219, 3971,
    7675, 1, 3, 5, 15, 1, 1, 13, 207, 445, 91, 571, 869, 359, 1, 3,
    5, 5, 15, 35, 79, 175, 313, 745, 1689, 1499, 5899, 1, 3, 7, 7, 19,
    51, 57, 131, 491, 301, 1405, 3789, 6081, 1, 1, 3, 9, 27, 53, 55, 193,
    413, 535, 715, 2823, 2063, 1, 1, 7, 13, 31, 47, 47, 99, 441, 125, 999,
    3575, 8007, 1, 1, 1, 11, 17, 45, 67, 27, 329, 267, 773, 565, 5559, 1,
    1, 7, 11, 31, 23, 125, 117, 373, 523, 571, 1385, 3841, 1, 3, 7, 15,
    3, 15, 63, 91, 23, 97, 311, 3045, 2025, 1, 3, 7, 5, 29, 37, 105,
    63, 511, 35, 537, 4047, 7449, 1, 3, 1, 13, 5, 9, 29, 51, 269, 395,
    1737, 2097, 199, 1, 3, 7, 15, 23, 33, 71, 111, 497, 369, 1265, 2937, 1883,
    1, 1, 3, 3, 3, 49, 117, 243, 57, 83, 3, 3319, 5711, 1, 1, 5,
    11, 25, 41, 29, 123, 405, 623, 1537, 3467, 699, 1, 3, 7, 13, 17, 5,
    87, 103, 501, 581, 713, 1535, 4637, 1, 3, 3, 3, 25, 59, 91, 241, 163,
    537, 1249, 3427, 6647, 1, 3, 7, 1, 27, 7, 49, 219, 51, 989, 599, 2593,
    6051, 1, 1, 7, 9, 17, 19, 31, 23, 199, 729, 819, 287, 4689, 1, 1,
    1, 11, 13, 49, 97, 229, 411, 29, 1815, 3761, 3849, 1, 3, 1, 1, 23,
    35, 15, 33, 3, 865, 995, 1263, 3779, 1, 1, 7, 7, 17, 1, 103, 117,
    455, 93, 599, 1075, 4389, 1, 3, 7, 5, 27, 3, 67, 117, 101, 443, 1773,
    3731, 629, 1, 3, 1, 11, 9, 51, 63, 217, 273, 425, 1889, 1113, 3799, 1,
    1, 3, 3, 25, 13, 37, 89, 429, 493, 637, 3287, 6733, 1, 1, 1, 9,
    17, 29, 45, 89, 141, 633, 243, 4035, 1835, 1, 1, 1, 9, 15, 41, 61,
    239, 349, 3, 1669, 1767, 6257, 1, 3, 5, 11, 21, 41, 17, 65, 495, 879,
    1891, 667, 3807, 1, 1, 5, 11, 7, 25, 101, 231, 159, 287, 1125, 3859, 4331,
    1, 1, 1, 9, 13, 59, 23, 85, 393, 611, 1213, 7, 5707, 1, 3, 5,
    15, 13, 33, 61, 255, 163, 465, 641, 703, 6391, 1, 1, 3, 3, 29, 41,
    25, 19, 247, 973, 1815, 235, 7215, 1, 1, 3, 11, 17, 43, 83, 105, 493,
    663, 1395, 1079, 745, 1, 1, 3, 13, 17, 53, 5, 55, 31, 459, 673, 1253,
    5601, 1, 3, 7, 7, 1, 49, 85, 73, 265, 555, 43, 2235, 6787, 1, 1,
    7, 5, 15, 3, 43, 201, 289, 755, 1605, 1927, 6179, 1, 1, 7, 9, 15,
    5, 101, 19, 17, 879, 1155, 3845, 3225, 1, 3, 5, 15, 15, 63, 103, 133,
    209, 121, 1865, 4039, 3335, 1, 3, 7, 11, 15, 51, 87, 241, 455, 431, 1111,
    1319, 1959, 1, 3, 7, 5, 21, 47, 67, 251, 91, 575, 481, 3269, 1473, 1,
    3, 1, 1, 23, 5, 37, 169, 105, 803, 1765, 1823, 5081, 1, 1, 7, 9,
    1, 37, 55, 175, 431, 77, 171, 3759, 1227, 1, 3, 7, 9, 3, 61, 111,
    139, 87, 649, 243, 1109, 1303, 1, 3, 1, 11, 17, 25, 9, 117, 227, 821,
    1219, 2567, 5851, 1, 1, 7, 1, 19, 53, 89, 57, 29, 885, 275, 2289, 4341,
    1, 3, 1, 5, 5, 1, 43, 237, 235, 667, 1433, 2497, 5535, 1, 1, 1,
    11, 21, 9, 29, 165, 153, 157, 1209, 817, 7819, 1, 3, 1, 5, 1, 37,
    33, 9, 493, 497, 1469, 357, 5929, 1, 3, 3, 9, 25, 55, 5, 157, 397,
    461, 537, 1085, 6737, 1, 3, 3, 13, 3, 61, 83, 5, 5, 243, 1745, 845,
    1965, 1, 3, 1, 3, 31, 63, 3, 75, 355, 799, 417, 791, 2763, 1, 3,
    3, 11, 5, 31, 99, 163, 69, 699, 809, 1651, 7249, 1, 1, 7, 3, 29,
    53, 51, 185, 379, 743, 611, 963, 5631, 1, 1, 5, 11, 21, 15, 59, 75,
    121, 247, 307, 2483, 2861, 1, 1, 1, 5, 21, 5, 33, 43, 225, 675, 213,
    3081, 5047, 1, 3, 3, 15, 29, 45, 19, 19, 15, 605, 1531, 1305, 7725, 1,
    3, 1, 5, 19, 21, 73, 131, 37, 667, 1953, 1211, 7499, 1, 3, 1, 5,
    13, 3, 105, 151, 131, 965, 1953, 335, 4991, 1, 3, 1, 13, 23, 37, 81,
    147, 353, 125, 141, 4017, 7543, 1, 1, 1, 7, 15, 13, 25, 107, 431, 327,
    1069, 155, 1729, 1, 1, 5, 1, 19, 3, 51, 113, 349, 845, 1157, 1771, 4923,
    1, 1, 3, 7, 17, 19, 47, 249, 215, 959, 659, 3989, 3719, 1, 3, 5,
    5, 27, 57, 41, 29, 153, 1007, 1209, 1373, 2847, 1, 3, 5, 7, 5, 21,
    23, 67, 127, 755, 211, 2517, 8161, 1, 1, 7, 15, 1, 5, 65, 197, 435,
    275, 473, 1333, 3669, 1, 3, 7, 1, 17, 19, 61, 11, 425, 717, 351, 2323,
    6575, 1, 1, 7, 3, 29, 13, 115, 19, 235, 371, 81, 3107, 3103, 1, 1,
    3, 1, 23, 19, 57, 179, 7, 405, 217, 3159, 6675, 1, 3, 3, 3, 19,
    39, 121, 195, 205, 489, 1959, 3617, 799, 1, 3, 5, 9, 19, 35, 115, 3,
    17, 201, 671, 1847, 597, 1, 3, 1, 3, 7, 1, 121, 77, 163, 769, 977,
    1223, 4215, 1, 1, 1, 15, 9, 13, 33, 57, 271, 733, 1699, 3083, 813, 1,
    1, 7, 7, 15, 49, 101, 183, 339, 129, 1865, 2697, 3131, 1, 3, 1, 3,
    9, 39, 33, 141, 459, 971, 1621, 3893, 4393, 1, 1, 3, 3, 27, 61, 53,
    79, 375, 613, 663, 2325, 4707, 1, 1, 7, 1, 27, 59, 59, 179, 173, 333,
    649, 1053, 555, 1, 3, 3, 13, 15, 55, 25, 91, 45, 739, 1769, 1341, 2007,
    1, 1, 3, 15, 9, 59, 27, 45, 133, 941, 1037, 1559, 7145, 1, 3, 5,
    1, 13, 5, 3, 167, 235, 609, 1023, 1967, 771, 1, 1, 1, 15, 19, 15,
    45, 143, 309, 697, 337, 3399, 3599, 1, 1, 5, 3, 9, 1, 19, 41, 39,
    1003, 997, 1357, 5849, 1, 3, 3, 7, 29, 37, 9, 165, 9, 855, 337, 2363,
    2633, 1, 3, 5, 1, 23, 19, 97, 55, 411, 623, 287, 3365, 7675, 1, 3,
    3, 3, 11, 1, 47, 81, 377, 85, 859, 3717, 1979, 1, 1, 3, 1, 11,
    3, 125, 43, 471, 127, 341, 2943, 231, 1, 1, 5, 15, 29, 21, 101, 193,
    389, 727, 1397, 2799, 4387, 1, 3, 5, 15, 27, 19, 13, 195, 105, 5, 985,
    767, 4573, 1, 1, 5, 3, 13, 29, 33, 123, 107, 353, 723, 3821, 5425, 1,
    3, 5, 11, 23, 11, 69, 219, 15, 735, 1015, 431, 6511, 1, 3, 1, 1,
    27, 49, 79, 91, 201, 365, 255, 1309, 7165, 1, 3, 1, 13, 21, 61, 39,
    111, 71, 137, 551, 3237, 6681, 1, 3, 5, 13, 19, 21, 121, 227, 381, 677,
    421, 449, 5375, 1, 1, 7, 5, 1, 23, 95, 199, 509, 197, 829, 941, 2269,
    1, 3, 7, 5, 21, 61, 119, 59, 97, 841, 453, 2439, 7345, 1, 1, 1,
    3, 23, 21, 19, 245, 281, 841, 273, 1967, 2129, 1, 3, 3, 5, 7, 43,
    19, 253, 239, 421, 461, 4023, 6981, 1, 3, 1, 11, 25, 3, 109, 107, 55,
    781, 1109, 101, 889, 1, 3, 7, 13, 1, 21, 27, 3, 303, 557, 1381, 407,
    1849, 1, 1, 3, 13, 3, 61, 121, 119, 453, 137, 2039, 3333, 333, 1, 3,
    5, 1, 21, 9, 113, 9, 413, 301, 1795, 2827, 1837, 1, 3, 5, 15, 13,
    31, 119, 107, 445, 277, 1555, 2121, 2173, 1, 1, 1, 5, 9, 5, 5, 97,
    191, 949, 1603, 2181, 6879, 1, 3, 3, 9, 5, 47, 77, 43, 483, 137, 61,
    1811, 5309, 1, 3, 7, 11, 25, 63, 107, 207, 23, 231, 1685, 4009, 391, 1,
    3, 7, 9, 3, 35, 119, 83, 193, 269, 289, 3051, 8137, 1, 3, 3, 11,
    25, 25, 17, 243, 195, 503, 1797, 1913, 749, 1, 3, 1, 13, 5, 35, 101,
    57, 185, 881, 2005, 3493, 2715, 1, 3, 1, 11, 25, 51, 113, 177, 175, 855,
    1727, 1901, 8181, 1, 1, 3, 9, 9, 63, 109, 233, 205, 357, 499, 3367, 1189,
    1, 3, 1, 15, 17, 11, 35, 135, 501, 319, 1465, 2095, 5269, 1, 1, 3,
    9, 1, 27, 99, 201, 67, 269, 135, 3891, 4067, 1, 1, 1, 9, 15, 37,
    83, 135, 3, 645, 499, 2597, 2705, 1, 3, 1, 7, 17, 33, 89, 51, 295,
    809, 743, 27, 2599, 1, 1, 7, 1, 5, 55, 11, 97, 177, 515, 1651, 1183,
    5803, 1, 1, 3, 11, 21, 3, 39, 249, 55, 891, 1681, 709, 7833, 1, 3,
    5, 13, 11, 21, 81, 21, 99, 223, 355, 2015, 7195, 1, 3, 7, 11, 25,
    23, 9, 131, 417, 583, 1927, 277, 2923, 1, 1, 5, 5, 1, 43, 35, 87,
    471, 499, 1411, 2867, 2477, 1, 1, 5, 9, 25, 43, 83, 103, 183, 527, 483,
    935, 7097, 1, 1, 5, 7, 31, 13, 49, 169, 135, 885, 1367, 2627, 5917, 1,
    3, 7, 5, 1, 39, 97, 167, 95, 745, 1067, 805, 2885, 1, 3, 7, 15,
    31, 41, 1, 147, 15, 795, 323, 309, 5075, 1, 3, 7, 5, 23, 3, 65,
    143, 183, 671, 993, 547, 5971, 1, 3, 7, 1, 21, 59, 29, 45, 367, 363,
    1707, 541, 7045, 1, 1, 7, 15, 11, 25, 77, 33, 409, 495, 1713, 1479, 2857,
    1, 1, 3, 1, 11, 59, 113, 217, 313, 79, 379, 627, 3917, 1, 1, 1,
    15, 31, 61, 73, 211, 419, 965, 1817, 3965, 1425, 1, 1, 7, 13, 9, 9,
    61, 119, 223, 387, 595, 191, 1723, 1, 3, 5, 3, 25, 49, 83, 175, 329,
    1003, 729, 1399, 6553, 1, 1, 5, 9, 5, 37, 31, 43, 365, 403, 1485, 1621,
    3753, 1, 3, 5, 7, 17, 5, 125, 219, 311, 1, 639, 1939, 4367, 1, 3,
    5, 3, 21, 63, 119, 31, 151, 325, 1063, 2477, 1223, 1, 1, 5, 13, 15,
    23, 1, 141, 105, 21, 747, 161, 3555, 1, 3, 7, 1, 31, 21, 11, 27,
    267, 205, 1569, 765, 1357, 1, 1, 3, 9, 23, 59, 93, 51, 81, 367, 1545,
    1161, 3481, 1, 3, 7, 11, 15, 51, 43, 205, 237, 617, 1075, 1051, 5285, 1,
    3, 7, 3, 11, 5, 95, 203, 495, 661, 1119, 1095, 3391, 1, 3, 3, 1,
    25, 39, 59, 159, 273, 101, 1887, 417, 3423, 1, 3, 5, 13, 23, 45, 13,
    87, 139, 313, 1527, 3739, 7009, 1, 1, 5, 1, 23, 43, 127, 149, 63, 823,
    1075, 3123, 3079, 1, 1, 7, 3, 11, 1, 29, 127, 313, 971, 1363, 1765, 6439,
    1, 1, 3, 13, 1, 19, 61, 125, 345, 51, 273, 2783, 5255, 1, 1, 1,
    7, 29, 33, 21, 239, 351, 481, 795, 2865, 2235, 1, 3, 3, 3, 19, 31,
    41, 125, 327, 169, 837, 753, 191, 1, 3, 7, 15, 5, 15, 5, 109, 333,
    127, 2021, 441, 6307, 1, 3, 7, 9, 23, 39, 79, 235, 27, 573, 1989, 1401,
    7597, 1, 1, 7, 3, 23, 29, 119, 53, 105, 609, 1139, 321, 1111, 1, 1,
    7, 13, 13, 43, 3, 211, 389, 563, 1047, 1373, 4669, 1, 3, 3, 1, 9,
    7, 1, 135, 455, 539, 1681, 1851, 4585, 1, 3, 1, 13, 19, 45, 65, 109,
    391, 563, 753, 2405, 2623, 1, 3, 1, 13, 31, 41, 29, 153, 507, 559, 877,
    125, 4827, 1, 1, 7, 3, 15, 53, 39, 1, 143, 351, 505, 1213, 4829, 1,
    1, 5, 5, 27, 49, 39, 101, 501, 239, 1233, 1695, 6929, 1, 1, 5, 9,
    13, 29, 103, 185, 343, 943, 1709, 801, 1227, 1, 1, 1, 3, 3, 1, 63,
    23, 199, 53, 1629, 325, 7609, 1, 3, 7, 1, 11, 47, 61, 171, 71, 493,
    2035, 869, 5925, 1, 1, 7, 7, 5, 3, 95, 163, 89, 395, 1033, 2051, 5589,
    1, 3, 5, 9, 3, 21, 29, 143, 333, 805, 267, 4077, 383, 1, 1, 3,
    13, 9, 17, 87, 163, 107, 1011, 1099, 3395, 987, 1, 3, 1, 1, 5, 51,
    71, 249, 441, 513, 791, 1831, 2757, 1, 1, 3, 13, 23, 7, 101, 211, 289,
    1001, 1623, 3239, 1685, 1, 1, 5, 15, 31, 53, 91, 245, 143, 237, 557, 3099,
    3737, 1, 3, 1, 1, 5, 27, 51, 173, 321, 85, 1385, 9, 1887, 1, 3,
    1, 15, 11, 17, 49, 97, 121, 189, 2031, 565, 7513, 1, 1, 5, 5, 1,
    3, 55, 157, 27, 783, 1543, 2645, 1079, 1, 1, 5, 11, 27, 9, 83, 155,
    17, 147, 1561, 3213, 4483, 1, 3, 5, 15, 23, 63, 127, 97, 459, 869, 671,
    3287, 995, 1, 3, 3, 1, 5, 1, 89, 229, 269, 493, 709, 2719, 4803, 1,
    1, 3, 3, 27, 5, 85, 55, 491, 781, 711, 3193, 2051, 1, 1, 5, 13,
    21, 9, 31, 107, 381, 613, 991, 2289, 325, 1, 3, 7, 11, 11, 47, 115,
    103, 101, 945, 1993, 1345, 2031, 1, 3, 7, 11, 27, 59, 123, 73, 85, 975,
    397, 2619, 2095, 1, 1, 1, 13, 19, 31, 87, 45, 39, 43, 1041, 2015, 5859,
    1, 1, 3, 15, 5, 19, 47, 193, 293, 961, 113, 3013, 889, 1, 1, 1,
    3, 31, 61, 61, 209, 493, 785, 1825, 3779, 8095, 1, 1, 3, 9, 17, 51,
    103, 255, 133, 165, 281, 3945, 2779, 1, 1, 7, 3, 9, 33, 105, 29, 449,
    231, 1393, 1071, 5043, 1, 1, 7, 5, 29, 35, 115, 1, 467, 969, 343, 2291,
    5099, 1, 1, 3, 5, 13, 21, 99, 151, 13, 861, 189, 1709, 4943, 1, 1,
    7, 15, 5, 41, 53, 89, 235, 515, 1819, 3907, 4861, 1, 3, 5, 1, 7,
    15, 75, 65, 247, 581, 853, 445, 7623, 1, 1, 3, 5, 25, 29, 27, 73,
    359, 729, 1991, 1075, 8107, 1, 1, 3, 1, 5, 35, 83, 119, 385, 657, 1085,
    2707, 4403, 1, 3, 5, 5, 25, 55, 51, 205, 257, 887, 827, 2795, 925, 1,
    1, 3, 1, 5, 29, 113, 195, 439, 241, 127, 2783, 2577, 1, 3, 1, 11,
    15, 47, 7, 149, 81, 897, 235, 3935, 6981, 1, 3, 3, 1, 27, 5, 69,
    125, 377, 829, 1549, 3025, 2319, 1, 1, 7, 15, 15, 19, 3, 205, 291, 209,
    1817, 2439, 1001, 1, 1, 7, 9, 21, 7, 101, 17, 13, 615, 137, 1821, 1387,
    1, 3, 3, 11, 21, 27, 61, 133, 183, 699, 245, 527, 471, 1, 3, 3,
    13, 5, 25, 111, 69, 417, 271, 1545, 2729, 475, 1, 3, 5, 15, 11, 47,
    93, 93, 311, 775, 789, 1163, 1563, 1, 3, 5, 1, 13, 63, 27, 113, 449,
    971, 1021, 73, 1229, 1, 3, 3, 15, 17, 37, 103, 13, 91, 823, 1767, 1295,
    6941, 1, 1, 3, 9, 15, 59, 125, 91, 195, 409, 65, 2873, 1921, 1, 3,
    1, 7, 17, 31, 21, 251, 145, 385, 1385, 1505, 5735, 1, 3, 7, 11, 17,
    19, 85, 85, 81, 583, 889, 669, 5187, 1, 1, 5, 9, 23, 53, 97, 217,
    129, 517, 271, 2967, 3937, 1, 1, 1, 13, 3, 45, 49, 193, 35, 671, 1039,
    2841, 4547, 1, 3, 1, 15, 21, 29, 5, 91, 23, 247, 1701, 1585, 1493, 1,
    3, 3, 11, 15, 31, 21, 165, 153, 607, 221, 2781, 6159, 1, 3, 7, 15,
    15, 27, 107, 25, 457, 995, 849, 877, 407, 1, 3, 1, 15, 7, 17, 37,
    31, 203, 585, 369, 609, 2509, 1, 3, 1, 11, 17, 5, 17, 71, 453, 171,
    1317, 1985, 5817, 1, 1, 5, 5, 23, 39, 123, 179, 49, 19, 1337, 1051, 5289,
    1, 3, 1, 13, 17, 43, 47, 139, 21, 851, 1253, 1939, 299, 1, 1, 7,
    1, 3, 35, 57, 115, 481, 653, 1975, 1319, 5225, 1, 3, 7, 15, 5, 13,
    3, 249, 21, 791, 1349, 1961, 6975, 1, 1, 5, 11, 17, 3, 97, 103, 201,
    313, 939, 693, 5397, 1, 1, 7, 9, 29, 59, 35, 91, 135, 19, 1505, 1715,
    3335, 1, 3, 5, 1, 17, 53, 59, 217, 1, 305, 1257, 3773, 3509, 1, 3,
    7, 7, 5, 29, 47, 245, 487, 525, 1409, 245, 6427, 1, 3, 5, 15, 25,
    39, 49, 153, 461, 1003, 1527, 2883, 3499, 1, 1, 7, 13, 23, 11, 15, 163,
    9, 77, 1853, 1679, 1023, 1, 3, 7, 13, 3, 55, 101, 229, 327, 537, 79,
    3947, 6259, 1, 3, 7, 5, 9, 39, 3, 151, 439, 181, 1473, 3613, 7425, 1,
    3, 7, 11, 21, 5, 53, 11, 39, 455, 1131, 393, 1525, 1, 1, 1, 7,
    5, 45, 49, 229, 173, 567, 1285, 2317, 2207, 1, 1, 1, 7, 5, 33, 53,
    241, 477, 161, 1607, 1253, 4497, 1, 1, 7, 15, 11, 3, 107, 187, 249, 529,
    905, 2883, 7777, 1, 1, 5, 7, 17, 13, 123, 7, 449, 627, 1679, 569, 4145,
    1, 1, 1, 1, 3, 29, 57, 219, 209, 51, 1475, 2989, 7373, 1, 3, 3,
    5, 19, 33, 95, 241, 257, 465, 1305, 189, 269, 1, 1, 3, 1, 13, 11,
    67, 53, 157, 693, 1583, 739, 3827, 1, 1, 3, 9, 17, 9, 5, 7, 421,
    425, 1851, 3847, 5147, 1, 1, 3, 3, 23, 47, 123, 215, 11, 643, 1543, 1859,
    4073, 1, 1, 1, 11, 5, 35, 79, 55, 225, 773, 1717, 2891, 563, 1, 1,
    1, 15, 5, 17, 115, 3, 107, 33, 1897, 3677, 4313, 1, 1, 5, 7, 5,
    57, 75, 65, 177, 269, 733, 3837, 1211, 1, 1, 5, 15, 25, 45, 125, 159,
    501, 17, 693, 1083, 1801, 1, 3, 5, 3, 15, 17, 17, 159, 421, 449, 83,
    1367, 7719, 1, 3, 7, 3, 7, 31, 121, 43, 491, 501, 335, 2731, 1959, 1,
    1, 1, 11, 7, 1, 43, 187, 437, 113, 1205, 1255, 1319, 1, 1, 5, 15,
    15, 49, 103, 139, 187, 697, 907, 1229, 3205, 1, 1, 5, 13, 9, 19, 25,
    89, 345, 229, 1325, 859, 527, 1, 1, 1, 3, 3, 63, 105, 11, 407, 131,
    679, 3069, 4153, 1, 1, 3, 11, 21, 27, 113, 59, 409, 845, 309, 2639, 129,
    1, 1, 5, 15, 21, 47, 55, 237, 201, 103, 331, 3531, 4965, 1, 1, 5,
    11, 9, 11, 85, 49, 209, 333, 1993, 511, 7347, 1, 1, 5, 13, 25, 49,
    109, 241, 297, 677, 313, 657, 4503, 1, 1, 1, 15, 23, 57, 61, 117, 461,
    559, 837, 2781, 709, 1, 1, 3, 3, 31, 13, 109, 167, 389, 1021, 1437, 31,
    811, 1, 1, 1, 9, 21, 17, 19, 61, 241, 445, 1935, 3161, 4061, 1, 3,
    5, 5, 17, 5, 59, 117, 241, 913, 1315, 1597, 713, 1, 3, 1, 15, 5,
    41, 91, 191, 43, 49, 1491, 4051, 2317, 1, 1, 1, 3, 13, 33, 53, 39,
    341, 341, 617, 2627, 421, 1, 3, 3, 15, 23, 25, 47, 251, 405, 659, 721,
    229, 2269, 1, 1, 3, 3, 25, 19, 123, 53, 59, 805, 2033, 1693, 6223, 1,
    1, 1, 3, 13, 45, 67, 67, 199, 925, 145, 775, 7923, 1, 1, 5, 7,
    17, 23, 49, 37, 185, 253, 1743, 2771, 6899, 1, 3, 5, 5, 15, 53, 75,
    185, 17, 379, 1091, 4029, 5399, 1, 1, 1, 9, 13, 37, 101, 33, 499, 723,
    57, 467, 7227, 1, 1, 7, 1, 21, 49, 17, 49, 417, 895, 1099, 3199, 7059,
    1, 1, 5, 13, 27, 35, 49, 35, 213, 799, 197, 3599, 4135, 1, 3, 5,
    3, 31, 33, 61, 127, 87, 343, 845, 1699, 3897, 1, 3, 1, 11, 7, 59,
    19, 161, 119, 377, 1637, 2025, 849, 1, 1, 3, 3, 3, 51, 3, 67, 77,
    357, 295, 2383, 7423, 1, 3, 1, 3, 23, 25, 67, 29, 433, 49, 901, 1641,
    3021, 1, 3, 7, 3, 25, 59, 15, 181, 193, 809, 1089, 423, 1629, 1, 3,
    5, 1, 3, 19, 53, 45, 277, 411, 455, 9, 3651, 1, 3, 7, 15, 13,
    33, 37, 15, 489, 275, 1113, 3371, 3915, 1, 1, 5, 11, 3, 3, 97, 47,
    471, 713, 1975, 1679, 7901, 1, 1, 3, 15, 31, 47, 13, 33, 111, 607, 85,
    4049, 2937, 1, 1, 5, 1, 7, 61, 17, 179, 301, 245, 67, 2823, 4121, 1,
    3, 7, 15, 7, 25, 97, 73, 19, 899, 1357, 2041, 6493, 1, 1, 1, 3,
    3, 63, 117, 231, 125, 527, 1795, 1807, 7331, 1, 1, 5, 11, 17, 35, 61,
    161, 415, 687, 1015, 1239, 6925, 1, 3, 3, 5, 15, 19, 1, 5, 209, 545,
    1341, 4019, 6177, 1, 3, 5, 15, 13, 3, 7, 39, 63, 727, 1033, 2551, 449,
    1, 1, 1, 5, 11, 35, 39, 143, 361, 659, 1407, 2399, 6421, 1, 1, 7,
    13, 3, 23, 21, 161, 153, 595, 1847, 1339, 1887, 1, 3, 3, 9, 3, 43,
    75, 45, 433, 811, 1045, 2773, 2415, 1, 1, 3, 5, 23, 29, 73, 167, 211,
    403, 539, 13, 4433, 1, 3, 3, 13, 19, 25, 113, 181, 343, 349, 931, 115,
    5687, 1, 3, 1, 11, 25, 39, 23, 91, 359, 221, 37, 575, 3035, 1, 1,
    7, 1, 19, 61, 99, 81, 167, 53, 1493, 2623, 5797, 1, 1, 3, 5, 13,
    13, 105, 53, 449, 1003, 1405, 1403, 2557, 1, 1, 3, 15, 1, 37, 51, 69,
    13, 5, 1865, 3585, 3409, 1, 1, 7, 13, 15, 31, 61, 53, 439, 665, 57,
    445, 435, 1, 3, 1, 3, 1, 27, 1, 155, 65, 191, 449, 2185, 1787, 1,
    1, 3, 11, 13, 59, 15, 43, 435, 477, 823, 717, 299, 1, 1, 3, 1,
    23, 9, 85, 155, 127, 543, 1081, 221, 7357, 1, 3, 3, 1, 7, 35, 77,
    9, 79, 283, 449, 2729, 4193, 1, 1, 7, 1, 9, 15, 97, 99, 363, 513,
    1063, 3051, 1529, 1, 1, 5, 3, 1, 17, 101, 19, 425, 377, 1369, 3071, 6877,
    1, 1, 5, 1, 23, 63, 11, 7, 29, 717, 963, 2205, 7487, 1, 3, 1,
    13, 1, 15, 43, 151, 59, 315, 691, 2765, 7723, 1, 3, 1, 5, 5, 31,
    17, 81, 235, 419, 123, 2983, 1797, 1, 1, 1, 11, 29, 17, 123, 115, 91,
    531, 1393, 3537, 6387, 1, 3, 5, 11, 31, 5, 107, 61, 463, 507, 1937, 4075,
    4727, 1, 3, 7, 1, 9, 27, 23, 97, 125, 511, 239, 1031, 153, 1, 3,
    5, 9, 13, 55, 53, 195, 265, 217, 357, 567, 1613, 1, 1, 5, 15, 5,
    51, 51, 235, 63, 393, 1915, 2495, 7067, 1, 1, 7, 1, 15, 35, 97, 65,
    115, 819, 1419, 2313, 6029, 1, 1, 5, 13, 11, 35, 45, 149, 45, 617, 2001,
    1629, 5611, 1, 3, 5, 11, 15, 17, 39, 155, 143, 473, 1269, 2537, 2571, 1,
    1, 3, 3, 1, 7, 57, 227, 151, 731, 1871, 245, 7605, 1, 1, 1, 13,
    21, 1, 19, 189, 299, 483, 513, 2235, 3079, 1, 1, 5, 15, 13, 53, 91,
    55, 339, 161, 273, 2759, 7251, 1, 3, 1, 1, 17, 47, 29, 107, 371, 437,
    715, 739, 2195, 1, 3, 5, 11, 27, 1, 35, 105, 443, 623, 1401, 2683, 4327,
    1, 1, 5, 7, 13, 23, 101, 235, 369, 951, 1983, 1021, 7835, 1, 1, 1,
    5, 21, 57, 45, 67, 89, 209, 1105, 2161, 2245, 1, 1, 7, 15, 7, 33,
    69, 129, 181, 231, 961, 1621, 7763, 1, 3, 1, 5, 1, 31, 105, 123, 413,
    989, 1311, 199, 5175, 1, 3, 5, 13, 15, 9, 123, 215, 463, 197, 537, 531,
    2331, 1, 1, 3, 13, 13, 45, 61, 189, 91, 445, 1719, 3335, 5269, 1, 3,
    1, 11, 19, 41, 65, 143, 199, 177, 1695, 3647, 7169, 1, 1, 3, 13, 13,
    25, 37, 89, 175, 551, 1535, 1401, 1823, 1, 3, 3, 1, 21, 15, 31, 101,
    329, 907, 731, 1493, 451, 1, 1, 3, 9, 5, 61, 85, 247, 289, 547, 1031,
    3567, 1769, 1, 3, 1, 7, 25, 35, 99, 43, 25, 855, 1451, 617, 2615, 1,
    1, 1, 7, 25, 9, 77, 39, 127, 327, 1501, 57, 1485, 1, 3, 5, 5,
    9, 13, 13, 239, 125, 473, 785, 2853, 5165, 1, 1, 1, 3, 27, 43, 117,
    63, 175, 487, 1505, 157, 6043, 1, 1, 5, 5, 25, 43, 97, 231, 389, 191,
    1795, 2659, 7409, 1, 1, 7, 7, 11, 25, 47, 131, 363, 311, 523, 2773, 8015,
    1, 1, 5, 11, 25, 61, 123, 83, 265, 995, 613, 1893, 6341, 1, 1, 3,
    3, 27, 45, 41, 143, 173, 1009, 1963, 4009, 3675, 1, 3, 3, 9, 5, 11,
    95, 253, 415, 307, 501, 3117, 4621, 1, 3, 5, 1, 31, 41, 95, 39, 473,
    565, 1389, 4049, 5673, 1, 1, 3, 11, 3, 13, 87, 101, 413, 769, 1223, 549,
    4967, 1, 3, 1, 3, 13, 41, 29, 187, 491, 197, 1685, 3859, 3799, 1, 3,
    1, 3, 17, 55, 91, 131, 429, 899, 29, 1193, 7323, 1, 1, 3, 1, 11,
    17, 107, 113, 71, 185, 1057, 897, 249, 1, 1, 3, 5, 29, 27, 87, 33,
    273, 405, 547, 763, 2195, 1, 3, 1, 11, 7, 43, 39, 103, 475, 515, 1105,
    767, 3881, 1, 3, 3, 1, 13, 21, 93, 141, 407, 1001, 1939, 2747, 6479, 1,
    3, 1, 15, 1, 31, 15, 69, 313, 547, 987, 3569, 2795, 1, 3, 5, 7,
    1, 17, 105, 113, 253, 453, 1219, 2769, 197, 1, 3, 7, 7, 29, 55, 77,
    169, 227, 471, 1385, 2689, 7995, 1, 3, 7, 15, 7, 15, 113, 133, 205, 271,
    263, 3141, 5007, 1, 1, 5, 7, 7, 57, 121, 209, 319, 733, 1689, 2817, 6621,
    1, 3, 7, 9, 23, 37, 101, 229, 269, 429, 157, 515, 6975, 1, 1, 7,
    7, 23, 31, 83, 237, 299, 333, 959, 1467, 419, 1, 3, 7, 3, 23, 45,
    17, 33, 293, 679, 625, 3651, 4205, 1, 3, 1, 13, 17, 19, 87, 237, 219,
    119, 841, 1923, 8141, 1, 1, 1, 15, 15, 49, 21, 189, 287, 759, 695, 913,
    5167, 1, 1, 3, 15, 1, 9, 125, 5, 67, 603, 1691, 2863, 1299, 1, 3,
    7, 3, 5, 35, 105, 27, 51, 889, 1469, 3203, 6997, 1, 3, 5, 7, 1,
    53, 77, 1, 313, 475, 1515, 2233, 399, 1, 3, 5, 7, 3, 31, 43, 17,
    425, 673, 1817, 1939, 8027, 1, 1, 5, 5, 31, 31, 119, 179, 157, 635, 1,
    315, 1179, 1, 1, 5, 5, 1, 7, 25, 15, 311, 489, 829, 1929, 623, 1,
    1, 5, 11, 1, 17, 43, 205, 347, 713, 2029, 977, 4345, 1, 1, 3, 9,
    17, 3, 109, 253, 427, 333, 203, 1609, 1851, 1, 3, 1, 9, 21, 55, 107,
    203, 483, 869, 1417, 587, 3965, 1, 3, 3, 13, 27, 21, 103, 109, 313, 797,
    723, 683, 349, 1, 3, 5, 3, 1, 35, 43, 19, 367, 487, 703, 2211, 1199,
    1, 3, 1, 3, 19, 33, 13, 135, 329, 621, 843, 407, 6523, 1, 1, 7,
    5, 13, 1, 45, 133, 27, 267, 1975, 2761, 5061, 1, 1, 3, 3, 19, 59,
    13, 35, 489, 391, 1595, 2983, 3203, 1, 3, 3, 7, 19, 27, 125, 55, 121,
    733, 1437, 51, 4029, 1, 3, 1, 15, 11, 7, 73, 187, 209, 127, 1259, 1733,
    1897, 1, 3, 7, 1, 27, 19, 87, 189, 91, 113, 237, 2073, 419, 1, 3,
    5, 3, 15, 27, 107, 77, 467, 953, 1317, 877, 6911, 1, 3, 7, 13, 7,
    17, 107, 157, 439, 871, 651, 797, 2095, 1, 1, 3, 9, 13, 19, 19, 75,
    13, 267, 435, 1067, 6603, 1, 1, 7, 13, 25, 7, 81, 207, 149, 587, 1561,
    2025, 2355, 1, 3, 3, 5, 25, 25, 79, 249, 371, 305, 305, 53, 1051, 1,
    1, 3, 9, 19, 63, 57, 237, 39, 349, 1163, 2443, 1739, 1, 1, 5, 5,
    23, 57, 61, 21, 115, 107, 303, 1451, 2955, 1, 3, 1, 3, 17, 19, 121,
    123, 25, 367, 963, 545, 2885, 1, 3, 3, 5, 15, 57, 123, 1, 193, 861,
    1001, 1457, 4977, 1, 3, 5, 9, 21, 31, 37, 83, 361, 491, 1933, 407, 1923,
    1, 3, 7, 5, 9, 47, 33, 43, 239, 837, 799, 3731, 5883, 1, 3, 5,
    5, 7, 39, 49, 201, 339, 783, 1937, 1473, 391, 1, 3, 5, 13, 3, 63,
    39, 91, 63, 645, 929, 1543, 577, 1, 3, 3, 3, 9, 59, 107, 129, 455,
    259, 1523, 107, 285, 1, 1, 3, 9, 23, 21, 89, 13, 413, 87, 1703, 1611,
    5667, 1, 1, 3, 9, 21, 9, 83, 187, 159, 757, 1111, 3619, 3907, 1, 3,
    3, 9, 21, 35, 27, 57, 357, 659, 1243, 2725, 5769, 1, 1, 7, 1, 3,
    7, 75, 145, 119, 1019, 1169, 953, 2343, 1, 3, 3, 11, 19, 15, 121, 135,
    187, 569, 671, 131, 479, 1, 3, 5, 1, 21, 27, 63, 187, 367, 181, 1885,
    2513, 4499, 1, 3, 3, 5, 27, 13, 107, 183, 345, 855, 123, 1491, 867, 1,
    3, 7, 9, 5, 41, 43, 47, 277, 657, 1227, 2265, 1777, 1, 1, 5, 5,
    31, 37, 119, 5, 395, 399, 787, 2869, 829, 1, 1, 1, 5, 3, 55, 43,
    117, 191, 577, 1185, 3407, 4673, 1, 3, 5, 11, 15, 63, 103, 127, 505, 53,
    297, 3411, 3919, 1, 3, 7, 13, 15, 57, 45, 17, 253, 261, 767, 1951, 6599,
    1, 3, 1, 13, 3, 55, 11, 113, 223, 403, 249, 633, 3265, 1, 1, 1,
    5, 7, 49, 47, 47, 467, 633, 1991, 361, 8099, 1, 1, 3, 5, 31, 45,
    87, 117, 483, 331, 687, 3393, 7377, 1, 1, 7, 9, 29, 3, 11, 147, 147,
    631, 1131, 2651, 3141, 1, 3, 7, 9, 27, 49, 41, 207, 305, 403, 889, 2947,
    5775, 1, 3, 1, 13, 1, 63, 25, 127, 401, 375, 727, 2375, 2945, 1, 3,
    3, 15, 7, 19, 65, 29, 383, 809, 279, 2081, 1993, 1, 1, 7, 7, 29,
    9, 39, 159, 457, 435, 947, 2309, 2219, 1, 1, 1, 11, 15, 31, 51, 147,
    167, 113, 145, 125, 6997, 1, 1, 5, 1, 27, 21, 123, 249, 21, 487, 331,
    35, 3101, 1, 3, 7, 3, 5, 7, 127, 173, 115, 607, 1061, 2923, 6869, 1,
    3, 1, 5, 17, 55, 13, 15, 95, 365, 1419, 1111, 7561, 1, 3, 3, 15,
    23, 45, 115, 123, 477, 335, 85, 431, 6893, 1, 1, 5, 1, 5, 49, 95,
    19, 429, 549, 713, 661, 167, 1, 1, 3, 15, 3, 13, 127, 189, 385, 649,
    67, 499, 5355, 1, 1, 1, 5, 9, 31, 17, 21, 419, 655, 287, 1173, 1023,
    1, 1, 5, 1, 17, 11, 19, 17, 195, 1015, 1621, 1197, 3497, 1, 3, 1,
    5, 29, 55, 85, 43, 381, 59, 149, 391, 2109, 1, 1, 7, 9, 11, 43,
    115, 57, 211, 463, 787, 3665, 5619, 1, 3, 1, 7, 23, 5, 55, 93, 117,
    925, 941, 91, 6221, 1, 1, 1, 13, 29, 35, 89, 7, 75, 759, 735, 3011,
    1279, 1, 1, 1, 15, 13, 17, 13, 175, 167, 965, 1069, 2215, 6065, 1, 1,
    3, 15, 1, 11, 109, 205, 501, 419, 1071, 543, 5377, 1, 1, 3, 5, 11,
    1, 123, 147, 87, 289, 325, 3693, 4939, 1, 1, 3, 1, 9, 21, 29, 215,
    365, 995, 1727, 2515, 5741, 1, 1, 3, 5, 3, 7, 5, 147, 413, 505, 661,
    3071, 2521, 1, 3, 7, 5, 5, 41, 117, 145, 455, 379, 601, 455, 5377, 1,
    1, 7, 15, 11, 45, 27, 37, 457, 935, 595, 3883, 1491, 1, 3, 5, 9,
    15, 7, 49, 95, 225, 837, 805, 2553, 4891, 1, 3, 3, 5, 1, 29, 109,
    99, 349, 221, 749, 3499, 4201, 1, 1, 1, 11, 27, 35, 47, 253, 151, 129,
    927, 4039, 6133, 1, 3, 1, 3, 17, 59, 1, 63, 61, 927, 933, 3645, 3707,
    1, 3, 1, 3, 29, 33, 45, 59, 183, 459, 903, 747, 1895, 1, 1, 5,
    3, 19, 53, 71, 199, 91, 807, 507, 3821, 1815, 1, 1, 1, 7, 23, 43,
    39, 17, 139, 751, 467, 617, 5237, 1, 1, 7, 13, 5, 53, 43, 181, 337,
    731, 497, 3189, 4063, 1, 1, 7, 9, 1, 45, 103, 151, 265, 897, 1821, 2957,
    5591, 1, 3, 7, 5, 13, 43, 65, 49, 233, 1, 1709, 2641, 5633, 1, 1,
    1, 7, 15, 15, 95, 223, 447, 967, 1533, 1969, 6497, 1, 1, 7, 9, 29,
    5, 55, 57, 377, 487, 443, 2589, 4735, 1, 1, 5, 1, 23, 49, 5, 47,
    203, 727, 1955, 3465, 6691, 1, 1, 3, 7, 25, 13, 31, 153, 411, 79, 121,
    3815, 2123, 1, 1, 3, 1, 3, 57, 11, 141, 465, 713, 659, 2849, 487, 1,
    3, 7, 5, 29, 49, 91, 249, 353, 247, 1793, 1617, 3321, 1, 1, 7, 13,
    31, 3, 59, 213, 265, 3, 543, 2237, 6617, 1, 1, 7, 13, 9, 23, 57,
    89, 365, 11, 871, 1343, 7375, 1, 3, 7, 11, 7, 19, 15, 101, 239, 341,
    1259, 3607, 3879, 1, 1, 5, 7, 29, 25, 117, 183, 131, 705, 1497, 3537, 1007,
    1, 1, 1, 3, 11, 41, 113, 127, 95, 417, 1177, 1939, 1317, 1, 1, 5,
    11, 1, 37, 1, 141, 417, 157, 993, 671, 4993, 1, 1, 7, 11, 23, 15,
    41, 171, 389, 261, 1967, 3009, 2237, 1, 3, 5, 15, 31, 41, 49, 39, 73,
    201, 495, 3121, 4247, 1, 1, 3, 1, 17, 21, 95, 219, 343, 103, 93, 2907,
    1279, 1, 3, 3, 1, 7, 31, 79, 139, 347, 437, 1261, 3425, 6981, 1, 1,
    5, 7, 9, 19, 55, 185, 425, 145, 1627, 3045, 8113, 1, 1, 5, 1, 15,
    33, 99, 185, 485, 859, 481, 3063, 3209, 1, 1, 3, 13, 23, 7, 7, 81,
    405, 705, 1933, 315, 5819, 1, 3, 1, 3, 9, 55, 95, 101, 391, 299, 185,
    3687, 2833, 1, 3, 7, 13, 15, 5, 119, 29, 29, 893, 207, 1789, 3395, 1,
    3, 3, 5, 1, 59, 49, 81, 391, 95, 289, 3167, 5417, 1, 3, 5, 15,
    31, 21, 5, 189, 63, 567, 1515, 297, 5415, 1, 3, 3, 15, 3, 23, 105,
    113, 403, 799, 591, 1977, 1117, 1, 3, 1, 13, 23, 55, 59, 229, 319, 357,
    1703, 585, 3785, 1, 3, 7, 13, 7, 1, 97, 247, 451, 897, 137, 3289, 3621,
    1, 3, 1, 5, 13, 43, 89, 75, 243, 489, 1999, 1179, 13, 1, 3, 7,
    9, 11, 21, 51, 199, 15, 859, 83, 613, 5027, 1, 3, 1, 13, 15, 15,
    81, 87, 311, 681, 1391, 2123, 6747, 1, 3, 1, 1, 5, 45, 5, 123, 19,
    831, 1345, 3313, 7945, 1, 1, 7, 3, 5, 9, 93, 39, 221, 601, 315, 2179,
    6573, 1, 3, 5, 13, 17, 17, 117, 145, 471, 893, 305, 3065, 7519, 1, 3,
    1, 9, 1, 55, 119, 235, 417, 167, 467, 2947, 3235, 1, 3, 3, 13, 25,
    51, 71, 101, 255, 671, 1929, 2911, 2837, 1, 1, 5, 15, 17, 1, 79, 241,
    25, 635, 379, 1701, 7139, 1, 1, 7, 13, 1, 1, 119, 121, 469, 51, 939,
    2161, 4247, 1, 3, 3, 15, 3, 35, 95, 107, 143, 701, 1843, 301, 6345, 1,
    3, 5, 3, 27, 13, 117, 143, 49, 875, 1705, 3005, 3671, 1, 1, 7, 7,
    5, 49, 111, 33, 169, 189, 1109, 805, 2753, 1, 3, 7, 9, 19, 49, 59,
    3, 71, 859, 435, 3417, 1883, 1, 3, 5, 9, 9, 51, 35, 79, 385, 83,
    1121, 1421, 7317, 1, 3, 7, 5, 13, 29, 49, 41, 219, 23, 1025, 849, 499,
    1, 3, 3, 11, 3, 15, 13, 167, 441, 753, 1731, 527, 8099, 1, 3, 5,
    3, 1, 57, 17, 193, 29, 849, 15, 539, 1713, 1, 1, 1, 11, 27, 47,
    59, 249, 363, 175, 3, 2485, 3551, 1, 1, 3, 3, 25, 45, 79, 45, 141,
    13, 1007, 1235, 5359, 1, 3, 1, 7, 29, 31, 111, 173, 281, 287, 173, 2627,
    4125, 1, 3, 5, 5, 3, 13, 37, 157, 509, 323, 1695, 765, 6533, 1, 3,
    5, 11, 7, 33, 77, 237, 377, 351, 205, 183, 5273, 1, 3, 7, 5, 11,
    1, 123, 251, 3, 207, 1319, 553, 8143, 1, 1, 7, 15, 23, 25, 105, 43,
    271, 633, 1331, 2197, 7229, 1, 3, 3, 1, 13, 37, 119, 195, 21, 751, 1809,
    4025, 3037, 1, 1, 7, 13, 19, 1, 3, 33, 79, 477, 1203, 3657, 5573, 1,
    1, 1, 1, 21, 21, 121, 183, 355, 259, 1033, 1621, 2843, 1, 3, 7, 15,
    19, 37, 121, 233, 397, 27, 279, 2891, 4191, 1, 3, 1, 3, 13, 5, 31,
    237, 453, 913, 1073, 3573, 7883, 1, 1, 1, 1, 1, 11, 57, 103, 453, 605,
    1041, 2975, 4735, 1, 1, 5, 9, 29, 33, 119, 241, 27, 491, 341, 1945, 6599,
    1, 1, 7, 1, 25, 41, 83, 191, 481, 995, 1819, 1577, 3837, 1, 3, 5,
    5, 15, 21, 81, 111, 143, 281, 509, 2905, 177, 1, 1, 1, 3, 19, 19,
    31, 107, 451, 1007, 2027, 3947, 3903, 1, 3, 3, 1, 27, 41, 23, 147, 299,
    315, 895, 407, 4761, 1, 3, 7, 15, 27, 1, 105, 103, 507, 897, 1309, 3979,
    5123, 1, 3, 1, 11, 7, 41, 99, 67, 183, 495, 1509, 2733, 6995, 1, 1,
    1, 11, 13, 5, 69, 239, 95, 211, 691, 323, 7485, 1, 3, 5, 11, 23,
    57, 5, 113, 417, 893, 1229, 2109, 7657, 1, 1, 5, 15, 19, 59, 111, 181,
    61, 743, 227, 831, 3035, 1, 1, 5, 7, 19, 13, 107, 63, 127, 17, 1753,
    337, 3403, 1, 3, 7, 7, 7, 21, 85, 219, 77, 311, 685, 145, 3451, 1,
    3, 5, 5, 3, 55, 123, 187, 407, 539, 1167, 2741, 6885, 1, 3, 1, 13,
    23, 57, 109, 93, 93, 483, 857, 1895, 7145, 1, 1, 1, 15, 19, 43, 37,
    129, 487, 523, 1959, 2053, 6281, 1, 3, 1, 11, 9, 1, 105, 123, 483, 511,
    1661, 1065, 7539, 1, 3, 3, 1, 27, 33, 87, 191, 89, 697, 1195, 1699, 2699,
    1, 3, 7, 5, 21, 57, 5, 109, 343, 721, 1355, 1155, 4515, 1, 3, 3,
    15, 27, 43, 47, 167, 457, 93, 221, 3693, 383, 1, 3, 1, 7, 13, 13,
    55, 75, 113, 577, 397, 2491, 6871, 1, 1, 3, 13, 31, 31, 71, 189, 39,
    397, 977, 2645, 1683, 5081, 1, 3, 5, 15, 27, 41, 125, 69, 269, 157, 1827,
    41, 3105, 10615, 1, 1, 3, 9, 5, 45, 33, 169, 317, 371, 389, 595, 1071,
    5323, 1, 1, 5, 5, 25, 25, 69, 45, 313, 105, 795, 3987, 5181, 155, 1,
    3, 7, 5, 19, 17, 13, 119, 213, 289, 269, 1561, 6069, 15631, 1, 3, 7,
    1, 15, 7, 17, 173, 491, 907, 315, 101, 6205, 4631, 1, 1, 5, 11, 17,
    13, 9, 67, 267, 719, 1565, 2157, 5773, 5167, 1, 1, 5, 5, 11, 45, 65,
    207, 403, 231, 1019, 3345, 2779, 3621, 1, 3, 5, 13, 13, 59, 65, 225, 307,
    581, 1159, 2041, 3535, 16381, 1, 3, 1, 15, 9, 45, 17, 99, 285, 797, 477,
    3041, 3123, 397, 1, 3, 1, 15, 3, 57, 99, 115, 105, 877, 9, 1185, 3147,
    6285, 1, 1, 1, 1, 25, 31, 37, 13, 119, 935, 1339, 2147, 2371, 16107, 1,
    1, 5, 15, 17, 31, 123, 131, 135, 977, 1943, 3643, 4457, 15405, 1, 3, 3,
    1, 3, 57, 29, 33, 1, 519, 535, 681, 6255, 16263, 1, 1, 5, 3, 9,
    45, 39, 215, 329, 457, 1341, 3037, 1631, 15335, 1, 1, 7, 13, 3, 27, 23,
    73, 465, 771, 1453, 3821, 3099, 10075, 1, 1, 3, 3, 21, 45, 119, 233, 507,
    959, 1743, 2711, 2465, 4257, 1, 1, 7, 5, 31, 37, 113, 207, 239, 305, 1085,
    2447, 743, 15747, 1, 3, 5, 5, 27, 25, 83, 255, 93, 149, 627, 1887, 6913,
    5793, 1, 1, 5, 11, 17, 61, 91, 75, 469, 503, 1405, 3609, 421, 10819, 1,
    1, 5, 1, 13, 47, 53, 221, 351, 621, 1025, 3729, 367, 16091, 1, 1, 1,
    5, 7, 41, 3, 177, 127, 71, 753, 1581, 2227, 257, 1, 1, 3, 3, 3,
    17, 69, 31, 143, 825, 291, 257, 2147, 4199, 1, 1, 5, 9, 29, 21, 49,
    1, 35, 321, 383, 1495, 4201, 7143, 1, 3, 7, 13, 5, 27, 31, 143, 117,
    487, 585, 809, 2425, 15681, 1, 3, 3, 13, 23, 3, 33, 213, 209, 185, 603,
    431, 5519, 5017, 1, 3, 7, 9, 21, 61, 3, 53, 303, 793, 759, 3869, 391,
    8395, 1, 3, 5, 13, 25, 13, 119, 37, 419, 399, 825, 709, 5351, 1299, 1,
    3, 7, 11, 17, 11, 93, 205, 33, 493, 1353, 3777, 2521, 13405, 1, 3, 3,
    5, 5, 3, 25, 215, 209, 559, 465, 1809, 6621, 8733, 1, 3, 5, 11, 23,
    17, 75, 11, 299, 613, 565, 3487, 5017, 6187, 1, 3, 5, 15, 15, 41, 121,
    225, 259, 283, 1119, 3509, 6663, 241, 1, 3, 3, 5, 17, 49, 5, 227, 493,
    677, 1365, 3681, 1651, 5079, 1, 3, 5, 11, 3, 13, 43, 219, 247, 223, 1451,
    1449, 605, 5877, 1, 1, 7, 7, 21, 47, 7, 197, 387, 59, 7, 3209, 5623,
    1221, 1, 3, 3, 5, 25, 5, 97, 1, 105, 801, 815, 1635, 3567, 5231, 1,
    3, 7, 15, 17, 21, 101, 167, 265, 407, 1859, 3359, 1245, 4153, 1, 1, 1,
    11, 31, 61, 21, 101, 77, 325, 645, 2059, 3201, 527, 1, 3, 7, 15, 29,
    55, 107, 135, 55, 433, 1519, 1049, 6119, 15877, 1, 1, 7, 7, 19, 29, 1,
    167, 13, 67, 1703, 1159, 7145, 4243, 1, 3, 5, 11, 1, 33, 7, 21, 407,
    695, 345, 425, 7399, 3847, 1, 1, 7, 11, 15, 59, 121, 175, 21, 859, 1311,
    1365, 3823, 3983, 1, 1, 7, 5, 29, 21, 111, 221, 429, 739, 985, 1989, 4947,
    8311, 1, 3, 3, 15, 29, 17, 103, 39, 475, 193, 253, 1903, 4073, 15039, 1,
    3, 7, 11, 1, 57, 35, 197, 89, 475, 283, 2291, 7129, 14357, 1, 1, 3,
    11, 15, 63, 29, 157, 211, 517, 1643, 199, 285, 8621, 1, 3, 3, 15, 9,
    47, 43, 215, 407, 979, 51, 635, 467, 6365, 1, 3, 3, 1, 23, 27, 97,
    111, 51, 407, 1037, 1337, 1475, 1151, 1, 3, 3, 15, 13, 45, 67, 51, 331,
    691, 1137, 1967, 5715, 3125, 1, 3, 3, 15, 31, 19, 85, 221, 449, 689, 1817,
    1575, 7429, 12125, 1, 3, 1, 9, 21, 61, 77, 55, 65, 591, 9, 2477, 4081,
    4631, 1, 3, 5, 9, 27, 45, 29, 159, 21, 931, 1939, 1297, 5589, 12635, 1,
    1, 7, 9, 21, 41, 7, 171, 461, 373, 1655, 3475, 4073, 4859, 1, 3, 1,
    13, 17, 35, 3, 41, 45, 37, 1409, 3939, 5497, 3501, 1, 1, 3, 15, 11,
    57, 121, 177, 177, 515, 675, 1943, 2645, 2469, 1, 1, 7, 1, 23, 63, 29,
    157, 157, 397, 1131, 1479, 4683, 10011, 1, 3, 7, 9, 15, 35, 75, 99, 195,
    589, 19, 3427, 1623, 12843, 1, 3, 7, 3, 21, 19, 101, 135, 351, 549, 223,
    517, 4023, 1863, 1, 1, 7, 7, 7, 23, 67, 15, 217, 915, 1617, 1527, 877,
    15061, 1, 3, 5, 3, 11, 35, 95, 5, 399, 669, 1185, 167, 7405, 11169, 1,
    3, 5, 5, 1, 49, 91, 125, 185, 73, 263, 1139, 3171, 5427, 1, 1, 5,
    1, 27, 51, 89, 81, 179, 593, 67, 1495, 3669, 15981, 1, 3, 1, 11, 29,
    63, 47, 105, 327, 747, 953, 2399, 6711, 16313, 1, 1, 5, 5, 21, 21, 117,
    179, 427, 981, 2029, 1, 495, 4005, 1, 1, 3, 5, 23, 21, 59, 99, 459,
    217, 1131, 1853, 3049, 2247, 1, 3, 1, 5, 29, 9, 71, 167, 55, 775, 627,
    3967, 45, 11199, 1, 3, 5, 3, 29, 25, 1, 69, 317, 649, 1567, 2587, 2277,
    15675, 1, 3, 3, 9, 21, 3, 39, 147, 279, 953, 1207, 333, 2747, 1717, 1,
    3, 3, 3, 31, 63, 113, 149, 431, 699, 335, 2475, 6375, 13061, 1, 1, 7,
    11, 11, 19, 51, 175, 377, 971, 35, 2749, 6309, 4755, 1, 1, 3, 15, 27,
    53, 105, 221, 15, 495, 799, 1717, 6997, 15949, 1, 1, 1, 15, 31, 29, 69,
    137, 421, 231, 2021, 1869, 4533, 1121, 1, 1, 7, 11, 15, 49, 17, 121, 285,
    303, 1085, 2463, 357, 2519, 1, 1, 1, 5, 29, 47, 109, 95, 339, 15, 1195,
    2171, 4649, 6517, 1, 3, 3, 3, 29, 19, 45, 93, 47, 827, 1113, 4055, 601,
    10807, 1, 1, 7, 5, 15, 47, 11, 79, 137, 267, 1443, 1003, 2475, 147, 1,
    3, 7, 15, 11, 39, 95, 191, 205, 967, 333, 3371, 4913, 15231, 1, 3, 7,
    9, 25, 9, 47, 75, 77, 539, 487, 361, 2293, 7285, 1, 3, 7, 7, 27,
    11, 93, 181, 455, 277, 1001, 3313, 7335, 4593, 1, 1, 5, 5, 15, 35, 107,
    51, 223, 447, 371, 1739, 1937, 3589, 1, 1, 3, 11, 15, 51, 23, 129, 285,
    895, 2015, 1389, 2043, 1989, 1, 1, 5, 7, 21, 57, 107, 149, 285, 825, 959,
    827, 2931, 3207, 1, 1, 1, 13, 23, 19, 91, 15, 261, 785, 1031, 2245, 505,
    14891, 1, 1, 3, 15, 23, 21, 33, 153, 71, 757, 1131, 3251, 877, 4533, 1,
    1, 3, 11, 25, 39, 33, 231, 451, 587, 781, 1145, 4743, 467, 1, 1, 7,
    11, 23, 7, 35, 45, 397, 41, 1443, 2087, 587, 14139, 1, 3, 3, 3, 19,
    57, 61, 225, 197, 263, 1447, 1929, 2833, 5325, 1, 1, 5, 7, 25, 51, 45,
    221, 403, 843, 727, 3099, 3883, 9151, 1, 1, 5, 13, 9, 23, 33, 119, 81,
    525, 1527, 567, 2867, 12907, 1, 1, 5, 5, 11, 19, 125, 135, 427, 949, 643,
    3403, 6531, 12607, 1, 3, 3, 7, 27, 23, 89, 83, 381, 333, 361, 2773, 4247,
    10233, 1, 3, 7, 11, 25, 61, 105, 141, 473, 993, 379, 2949, 5757, 4003, 1,
    1, 3, 11, 27, 29, 75, 175, 391, 567, 1017, 1575, 5287, 16289, 1, 3, 7,
    15, 7, 33, 23, 137, 299, 19, 599, 2649, 6141, 3321, 1, 1, 3, 1, 3,
    19, 101, 95, 499, 261, 51, 43, 5457, 313, 1, 3, 5, 11, 27, 5, 7,
    85, 419, 983, 1965, 1639, 6397, 15823, 1, 1, 1, 11, 13, 55, 121, 13, 289,
    791, 437, 3279, 7125, 10473, 1, 1, 7, 1, 13, 15, 25, 9, 21, 205, 61,
    749, 8005, 9453, 1, 1, 3, 9, 19, 47, 55, 113, 325, 165, 771, 3655, 6265,
    11157, 1, 1, 5, 13, 19, 45, 107, 37, 205, 677, 1273, 3817, 559, 11321, 1,
    3, 7, 15, 31, 57, 87, 31, 431, 383, 327, 2703, 4197, 7861, 1, 1, 3,
    9, 3, 33, 39, 253, 215, 903, 447, 2175, 5249, 3203, 1, 3, 7, 5, 15,
    5, 27, 145, 391, 869, 1641, 2497, 4683, 3111, 1, 3, 1, 5, 3, 33, 39,
    223, 379, 803, 1833, 1799, 2617, 2113, 1, 3, 1, 15, 29, 37, 57, 227, 425,
    943, 311, 2883, 2973, 1831, 1, 3, 3, 5, 17, 63, 113, 139, 453, 871, 1029,
    2705, 3379, 4503, 1, 3, 7, 5, 19, 35, 43, 151, 511, 657, 1885, 1425, 387,
    2165, 1, 1, 3, 15, 9, 61, 123, 241, 485, 485, 955, 1215, 87, 3195, 1,
    3, 5, 9, 23, 45, 51, 15, 23, 49, 2025, 853, 6609, 12099, 1, 3, 7,
    7, 23, 35, 95, 67, 131, 281, 1821, 1951, 1363, 7477, 1, 3, 1, 7, 9,
    53, 79, 255, 453, 77, 629, 1207, 4171, 4415, 1, 3, 5, 3, 23, 5, 11,
    153, 57, 217, 1177, 2297, 3515, 15121, 1, 1, 1, 9, 31, 57, 93, 35, 177,
    449, 1505, 2715, 1315, 8953, 1, 1, 3, 11, 7, 7, 109, 255, 317, 325, 267,
    2573, 1511, 3371, 1, 3, 7, 11, 13, 51, 29, 203, 13, 889, 679, 1981, 5553,
    671, 1, 1, 3, 5, 29, 11, 29, 249, 289, 817, 1983, 1865, 6705, 9667, 1,
    1, 3, 13, 15, 19, 23, 59, 143, 815, 643, 763, 1437, 2909, 1, 3, 7,
    5, 15, 61, 121, 73, 367, 13, 1455, 561, 7475, 8479, 1, 3, 1, 15, 17,
    19, 105, 223, 481, 49, 217, 2935, 2731, 9857, 1, 3, 1, 7, 3, 41, 3,
    195, 245, 969, 139, 2727, 6957, 2049, 1, 1, 5, 1, 13, 39, 55, 247, 279,
    991, 875, 1393, 2649, 14477, 1, 1, 7, 3, 19, 1, 83, 87, 277, 939, 105,
    681, 5377, 16067, 1, 3, 3, 3, 29, 9, 63, 67, 97, 457, 179, 1137, 5067,
    14541, 1, 1, 7, 5, 25, 23, 17, 175, 33, 523, 2023, 649, 6889, 3481, 1,
    1, 7, 7, 13, 7, 7, 145, 81, 69, 1029, 1351, 285, 13007, 1, 1, 5,
    3, 3, 23, 107, 67, 327, 463, 1123, 1981, 1189, 6921, 1, 1, 7, 3, 15,
    31, 15, 51, 421, 191, 1663, 2257, 2633, 4685, 1, 3, 7, 11, 9, 41, 101,
    43, 23, 453, 1399, 2349, 8013, 15791, 1, 3, 3, 11, 27, 47, 15, 193, 99,
    355, 1873, 1541, 5957, 13079, 1, 3, 1, 9, 11, 45, 43, 171, 355, 17, 955,
    1153, 1437, 5477, 1, 3, 7, 7, 29, 25, 11, 231, 79, 951, 1619, 69, 2279,
    7249, 1, 1, 5, 1, 5, 41, 47, 229, 353, 261, 443, 1181, 1813, 7929, 1,
    3, 7, 13, 19, 45, 69, 11, 209, 477, 1623, 429, 1853, 13571, 1, 3, 3,
    5, 19, 55, 49, 243, 357, 675, 129, 2801, 2511, 12965, 1, 1, 3, 15, 11,
    47, 11, 11, 291, 943, 573, 2257, 1767, 2547, 1, 1, 7, 11, 1, 11, 103,
    65, 395, 623, 697, 3375, 7977, 13449, 1, 1, 3, 3, 3, 35, 69, 59, 85,
    379, 835, 557, 873, 16281, 1, 1, 7, 3, 31, 41, 59, 137, 297, 43, 1111,
    2119, 3109, 1551, 1, 3, 7, 13, 11, 11, 87, 199, 283, 461, 951, 2429, 6739,
    11499, 1, 3, 7, 7, 31, 13, 89, 75, 117, 755, 1761, 581, 7233, 8395, 1,
    3, 7, 7, 1, 29, 117, 213, 81, 901, 357, 27, 127, 10541, 1, 1, 7,
    5, 31, 1, 11, 243, 321, 973, 1753, 2363, 6717, 14861, 1, 1, 1, 1, 17,
    25, 35, 211, 197, 697, 1389, 1371, 3687, 11941, 1, 3, 5, 11, 15, 35, 27,
    179, 367, 891, 483, 3581, 4343, 9581, 1, 3, 5, 1, 13, 41, 67, 75, 309,
    601, 247, 1609, 4365, 3003, 1, 1, 7, 11, 1, 59, 55, 213, 415, 445, 1763,
    3615, 6847, 11931, 1, 1, 7, 13, 25, 53, 9, 63, 501, 95, 1745, 3273, 3551,
    12733, 1, 3, 7, 7, 13, 23, 117, 75, 169, 11, 1401, 125, 2127, 15609, 1,
    3, 3, 9, 21, 53, 113, 247, 495, 39, 1491, 985, 4943, 3683, 1, 1, 1,
    7, 5, 49, 23, 207, 43, 863, 749, 3363, 1191, 1305, 1, 1, 5, 15, 3,
    13, 19, 123, 377, 803, 319, 2617, 7781, 5113, 1, 3, 3, 13, 23, 53, 19,
    223, 63, 729, 599, 2437, 1023, 13659, 1, 3, 7, 13, 7, 31, 101, 227, 53,
    933, 405, 1077, 1341, 12049, 1, 1, 3, 11, 21, 31, 65, 191, 175, 735, 593,
    805, 4405, 7893, 1, 3, 3, 11, 11, 23, 57, 71, 367, 275, 715, 81, 6455,
    9509, 1, 1, 5, 9, 7, 5, 99, 19, 193, 501, 243, 1971, 4685, 455, 1,
    3, 3, 1, 11, 59, 45, 241, 257, 107, 605, 3885, 813, 15667, 1, 3, 7,
    9, 17, 63, 93, 129, 191, 839, 535, 271, 1087, 10393, 1, 1, 3, 9, 19,
    15, 11, 85, 377, 653, 891, 1909, 5561, 1289, 1, 3, 1, 15, 7, 25, 25,
    67, 55, 749, 1541, 1183, 1563, 5377, 1, 3, 1, 5, 11, 57, 121, 173, 317,
    777, 749, 4037, 123, 10707, 1, 3, 3, 5, 29, 45, 99, 215, 103, 447, 1743,
    991, 7649, 11773, 1, 1, 5, 7, 3, 33, 39, 169, 255, 383, 559, 3635, 5669,
    4267, 1, 3, 1, 5, 15, 41, 51, 69, 373, 815, 293, 2125, 4903, 12429, 1,
    3, 3, 1, 17, 53, 101, 153, 271, 491, 801, 2811, 619, 2021, 1, 1, 3,
    5, 25, 37, 33, 139, 385, 323, 601, 1077, 753, 3925, 1, 1, 3, 1, 25,
    21, 127, 67, 463, 121, 1765, 1561, 5, 5161, 1, 1, 7, 7, 25, 27, 37,
    159, 453, 847, 353, 3051, 4269, 13981, 1, 3, 5, 11, 13, 1, 11, 123, 459,
    989, 1459, 3793, 5915, 8411, 1, 3, 1, 15, 5, 21, 37, 41, 399, 471, 1147,
    143, 2737, 9447, 1, 3, 1, 5, 27, 5, 121, 77, 183, 209, 49, 3737, 4317,
    11225, 1, 1, 3, 7, 5, 9, 65, 25, 237, 21, 139, 1729, 965, 15419, 1,
    1, 3, 11, 5, 47, 115, 211, 495, 97, 1439, 127, 4823, 11643, 1, 1, 5,
    1, 11, 37, 19, 129, 35, 1017, 1057, 3501, 4293, 15271, 1, 3, 5, 5, 3,
    31, 45, 25, 441, 729, 909, 3519, 5579, 10341, 1, 1, 5, 13, 23, 55, 13,
    47, 25, 319, 697, 2839, 209, 5007, 1, 3, 1, 13, 31, 7, 81, 239, 305,
    667, 233, 3555, 7385, 10113, 1, 3, 3, 13, 23, 7, 101, 193, 343, 435, 1065,
    3399, 1855, 15231, 1, 3, 7, 7, 3, 31, 13, 51, 141, 523, 1545, 31, 3827,
    13871, 1, 1, 1, 3, 29, 37, 117, 187, 337, 799, 923, 3919, 5861, 3167, 1,
    3, 7, 1, 21, 17, 59, 73, 223, 455, 2025, 2701, 673, 8333, 1, 1, 1,
    3, 9, 53, 99, 87, 35, 637, 1553, 1417, 1233, 855, 1, 1, 3, 11, 25,
    21, 3, 227, 345, 711, 1347, 437, 7513, 7731, 1, 1, 1, 3, 5, 51, 125,
    133, 241, 327, 589, 1895, 1627, 6945, 1, 1, 1, 3, 21, 19, 101, 95, 143,
    353, 1783, 2815, 3691, 11209, 1, 1, 3, 1, 31, 29, 95, 121, 253, 925, 277,
    2857, 963, 7701, 1, 3, 7, 5, 3, 23, 31, 63, 467, 91, 1235, 1927, 4347,
    9281, 1, 1, 5, 15, 21, 23, 113, 219, 69, 13, 1165, 1043, 6335, 3499, 1,
    1, 7, 15, 25, 35, 67, 67, 273, 421, 521, 1169, 1557, 1523, 1, 3, 5,
    7, 25, 5, 19, 157, 385, 35, 1701, 1697, 1425, 12549, 1, 1, 3, 1, 15,
    13, 31, 219, 159, 831, 909, 1907, 4251, 4231, 1, 3, 5, 7, 27, 51, 19,
    205, 177, 769, 1881, 3961, 7715, 13351, 1, 1, 3, 5, 13, 19, 1, 91, 257,
    201, 459, 525, 5093, 7259, 1, 3, 7, 9, 3, 37, 87, 117, 209, 9, 1019,
    195, 1531, 14445, 1, 1, 1, 5, 23, 35, 21, 27, 455, 665, 455, 1009, 2315,
    11465, 1, 3, 7, 1, 17, 55, 3, 71, 239, 183, 889, 2091, 2853, 12541, 1,
    1, 3, 15, 5, 7, 67, 127, 411, 719, 835, 2299, 1339, 12149, 1, 1, 3,
    3, 7, 21, 113, 199, 17, 161, 1945, 1141, 4879, 1579, 1, 3, 1, 7, 5,
    9, 35, 169, 317, 355, 193, 599, 7653, 7689, 1, 1, 1, 13, 29, 35, 59,
    85, 139, 199, 1075, 2799, 6263, 11133, 1, 1, 5, 3, 19, 63, 13, 41, 289,
    845, 1455, 633, 4995, 2037, 1, 1, 3, 11, 19, 25, 65, 213, 27, 257, 1151,
    4063, 5587, 2205, 1, 1, 7, 7, 9, 53, 103, 49, 187, 579, 801, 263, 2975,
    12013, 1, 3, 1, 13, 7, 13, 85, 11, 365, 63, 595, 747, 1565, 1817, 1,
    3, 7, 15, 11, 1, 45, 3, 181, 357, 447, 821, 6471, 10121, 1, 1, 7,
    11, 7, 25, 75, 139, 463, 679, 1327, 2863, 2373, 10681, 1, 3, 5, 5, 17,
    7, 103, 157, 241, 781, 399, 3951, 6587, 35, 1, 3, 5, 5, 17, 29, 71,
    115, 415, 91, 729, 3055, 5219, 15271, 1, 3, 1, 9, 7, 5, 123, 235, 33,
    103, 257, 1151, 3931, 16257, 1, 1, 3, 11, 27, 29, 29, 31, 463, 187, 103,
    209, 747, 14311, 1, 3, 5, 1, 11, 61, 79, 103, 233, 733, 779, 705, 2377,
    12689, 1, 3, 1, 9, 31, 11, 123, 239, 227, 81, 525, 2099, 8149, 5851, 1,
    3, 7, 5, 1, 37, 9, 199, 313, 875, 975, 777, 5449, 3075, 1, 3, 5,
    11, 7, 29, 5, 133, 419, 691, 859, 1089, 4331, 11079, 1, 1, 1, 1, 5,
    57, 113, 17, 481, 989, 233, 1523, 3291, 1665, 1, 3, 7, 15, 27, 31, 43,
    247, 403, 395, 69, 2561, 7281, 7291, 1, 3, 3, 11, 31, 43, 105, 237, 21,
    719, 861, 199, 1045, 7689, 1, 3, 1, 13, 1, 15, 3, 35, 219, 993, 891,
    3649, 3795, 11599, 1, 3, 7, 7, 7, 15, 125, 243, 449, 173, 1041, 1433, 6559,
    14285, 1, 1, 7, 7, 1, 5, 75, 189, 439, 745, 1361, 3525, 2913, 10513, 1,
    1, 5, 1, 31, 7, 49, 41, 413, 347, 881, 2953, 2173, 8667, 1, 3, 3,
    1, 27, 33, 75, 99, 451, 207, 1847, 1285, 3217, 7899, 1, 3, 7, 11, 21,
    63, 87, 11, 429, 591, 1471, 3221, 2441, 2889, 1, 3, 1, 15, 3, 47, 103,
    219, 317, 605, 1709, 2473, 3511, 10035, 1, 1, 5, 3, 13, 21, 117, 113, 443,
    863, 201, 1293, 1291, 5537, 1, 1, 7, 7, 3, 15, 59, 45, 135, 465, 1033,
    605, 2783, 1001, 1, 3, 1, 13, 25, 49, 125, 171, 231, 691, 1759, 3493, 1703,
    4405, 1, 1, 5, 11, 3, 31, 73, 31, 189, 533, 1191, 487, 6233, 5607, 1,
    3, 7, 5, 11, 23, 91, 207, 337, 225, 339, 2085, 6223, 16299, 1, 1, 5,
    13, 21, 35, 47, 81, 229, 815, 767, 1939, 1335, 1865, 1, 1, 5, 9, 3,
    11, 19, 253, 499, 13, 1771, 1461, 2339, 1217, 1, 1, 1, 7, 15, 51, 91,
    213, 435, 137, 551, 3483, 1485, 4061, 1, 3, 3, 9, 23, 25, 57, 1, 147,
    705, 399, 3061, 5921, 4201, 1, 3, 3, 9, 9, 15, 53, 105, 175, 147, 1077,
    2323, 6041, 9591, 1, 1, 5, 9, 5, 17, 125, 243, 5, 329, 161, 795, 8105,
    8385, 1, 3, 1, 13, 9, 7, 83, 49, 83, 109, 759, 2197, 2587, 10715, 1,
    3, 3, 9, 17, 11, 33, 173, 133, 853, 1005, 3027, 2137, 14471, 1, 3, 7,
    9, 23, 19, 29, 169, 73, 405, 1175, 3179, 2449, 13447, 1, 1, 7, 1, 21,
    43, 1, 85, 387, 979, 571, 1849, 3287, 1201, 1, 1, 5, 13, 15, 43, 125,
    49, 365, 689, 1569, 719, 3925, 3781, 1, 1, 7, 1, 11, 5, 39, 181, 39,
    729, 641, 1983, 7321, 14747, 1, 3, 7, 11, 11, 9, 115, 125, 305, 371, 1647,
    463, 2473, 9029, 1, 1, 7, 15, 5, 11, 69, 177, 249, 235, 1843, 695, 7931,
    10891, 1, 1, 5, 11, 17, 57, 127, 135, 357, 315, 55, 2867, 4187, 15803, 1,
    3, 1, 13, 29, 23, 69, 179, 151, 813, 1317, 1943, 3995, 13023, 1, 1, 7,
    11, 9, 55, 39, 65, 3, 127, 1781, 117, 2651, 16111, 1, 3, 5, 15, 31,
    19, 89, 185, 351, 623, 1301, 3123, 5905, 7231, 1, 3, 3, 3, 31, 25, 31,
    163, 81, 927, 1171, 2667, 5699, 7555, 1, 1, 3, 13, 17, 55, 83, 217, 97,
    795, 1745, 875, 483, 3271, 1, 1, 1, 1, 9, 13, 19, 207, 325, 277, 1393,
    2619, 3055, 8499, 1, 1, 7, 5, 1, 11, 113, 181, 411, 55, 505, 3125, 619,
    1749, 1, 3, 3, 15, 11, 47, 25, 123, 143, 51, 1075, 715, 4647, 13995, 1,
    1, 1, 1, 21, 23, 121, 217, 325, 589, 2017, 3027, 6175, 1293, 1, 3, 1,
    9, 3, 47, 35, 233, 381, 905, 1031, 2229, 2575, 6891, 1, 1, 1, 5, 3,
    33, 17, 39, 377, 635, 1281, 2673, 2101, 2921, 1, 1, 7, 7, 13, 21, 43,
    55, 353, 643, 533, 57, 5583, 2189, 1, 3, 5, 3, 27, 15, 79, 47, 463,
    327, 1231, 171, 4931, 7549, 1, 1, 5, 9, 11, 27, 109, 15, 57, 35, 1347,
    3061, 8179, 5461, 1, 3, 3, 7, 29, 57, 103, 221, 409, 437, 1541, 2591, 4757,
    13735, 1, 1, 7, 1, 3, 23, 115, 35, 165, 389, 1399, 2081, 3169, 1493, 1,
    1, 3, 3, 25, 27, 93, 253, 83, 557, 957, 2017, 2005, 10005, 1, 3, 7,
    7, 1, 33, 55, 227, 427, 595, 1235, 3815, 5397, 4827, 1, 3, 1, 7, 31,
    23, 53, 155, 177, 851, 531, 2441, 2049, 12209, 1, 1, 7, 3, 21, 27, 13,
    67, 467, 607, 611, 2565, 5907, 8441, 1, 1, 7, 5, 31, 59, 99, 65, 403,
    439, 1407, 2587, 3111, 8715, 1, 1, 5, 13, 7, 3, 35, 69, 177, 591, 449,
    369, 5047, 3435, 1, 3, 5, 5, 17, 27, 9, 49, 161, 925, 603, 2555, 3349,
    4913, 1, 1, 1, 9, 11, 43, 89, 139, 163, 851, 1991, 3439, 227, 5875, 1,
    3, 3, 9, 15, 7, 63, 133, 437, 447, 1227, 3945, 3467, 14919, 1, 1, 1,
    7, 13, 49, 113, 39, 77, 773, 127, 3361, 2325, 987, 1, 1, 5, 9, 31,
    23, 69, 203, 189, 35, 647, 3507, 6679, 2097, 1, 3, 7, 5, 23, 9, 99,
    253, 203, 167, 1073, 435, 1745, 2155, 1, 1, 5, 11, 11, 27, 15, 125, 291,
    261, 1953, 3695, 6345, 8519, 1, 1, 7, 11, 3, 39, 23, 143, 401, 587, 1729,
    3083, 4255, 7427, 1, 1, 7, 9, 27, 7, 63, 153, 349, 1003, 1315, 841, 5991,
    15647, 1, 3, 5, 1, 27, 45, 91, 245, 297, 485, 647, 91, 231, 5231, 1,
    1, 5, 15, 29, 43, 53, 79, 387, 977, 247, 371, 5823, 8335, 1, 3, 3,
    5, 5, 17, 29, 71, 417, 201, 1495, 277, 2087, 15421, 1, 3, 5, 11, 7,
    47, 37, 171, 167, 355, 1845, 1747, 839, 7213, 1, 1, 3, 15, 15, 29, 107,
    35, 183, 735, 183, 2993, 6495, 981, 1, 3, 1, 3, 3, 25, 25, 195, 461,
    739, 861, 3027, 2007, 7771, 1, 3, 7, 5, 29, 55, 115, 57, 67, 913, 1603,
    2397, 949, 14671, 1, 1, 1, 7, 27, 15, 51, 201, 127, 459, 1545, 3415, 1823,
    1673, 1, 3, 1, 13, 21, 43, 75, 59, 379, 1007, 1697, 763, 741, 3801, 1,
    1, 5, 13, 13, 41, 105, 235, 381, 465, 665, 877, 1025, 9041, 1, 3, 3,
    3, 3, 63, 65, 151, 167, 683, 327, 3545, 2531, 13479, 1, 3, 5, 1, 7,
    25, 61, 137, 155, 5, 623, 649, 7235, 13495, 1, 3, 5, 1, 23, 33, 3,
    45, 235, 909, 1619, 2843, 5307, 14345, 1, 3, 3, 3, 29, 1, 67, 161, 237,
    229, 1403, 3289, 399, 237, 1, 3, 1, 7, 5, 27, 83, 133, 189, 277, 1975,
    1399, 65, 13645, 1, 3, 3, 9, 1, 41, 11, 121, 413, 413, 1817, 1533, 5299,
    9089, 1, 1, 1, 7, 15, 59, 75, 255, 419, 441, 1993, 573, 6025, 16375, 1,
    1, 1, 9, 3, 35, 117, 69, 473, 53, 1007, 2229, 1749, 14795, 1, 1, 3,
    11, 23, 27, 117, 183, 69, 689, 1903, 1851, 1143, 11959, 1, 3, 7, 13, 3,
    9, 125, 173, 365, 393, 1313, 3937, 1699, 15667, 1, 3, 5, 11, 19, 3, 45,
    181, 439, 61, 1139, 149, 1929, 15617, 1, 3, 7, 1, 13, 41, 43, 131, 79,
    947, 1579, 2055, 451, 10875, 1, 1, 1, 11, 27, 11, 105, 109, 503, 361, 27,
    133, 801, 853, 1, 3, 5, 11, 11, 43, 3, 233, 449, 557, 2003, 467, 5617,
    7431, 1, 1, 3, 9, 5, 31, 121, 13, 301, 433, 1719, 821, 8107, 13313, 1,
    1, 5, 15, 25, 17, 117, 81, 239, 219, 195, 2653, 1287, 11595, 1, 1, 3,
    9, 31, 37, 123, 35, 507, 91, 1345, 279, 2369, 1613, 1, 3, 3, 11, 23,
    9, 83, 91, 257, 977, 697, 3813, 6839, 2755, 1, 3, 5, 5, 21, 23, 65,
    63, 407, 515, 1817, 2893, 7539, 11803, 1, 3, 1, 15, 5, 1, 7, 195, 15,
    319, 1177, 3191, 3489, 6213, 1, 1, 7, 5, 29, 11, 97, 125, 89, 1005, 455,
    3397, 7345, 14481, 1, 1, 5, 11, 31, 37, 15, 35, 405, 181, 601, 543, 6639,
    16103, 1, 3, 3, 1, 1, 33, 127, 177, 277, 681, 2039, 3109, 4657, 1303, 1,
    1, 5, 7, 3, 61, 107, 215, 175, 973, 899, 3655, 823, 7125, 1, 1, 3,
    1, 3, 47, 87, 179, 387, 987, 1171, 2767, 6329, 609, 1, 3, 3, 11, 7,
    25, 33, 109, 485, 789, 979, 659, 2555, 10175, 1, 1, 5, 7, 15, 41, 77,
    69, 487, 601, 753, 2785, 1075, 35, 1, 1, 1, 7, 23, 3, 125, 143, 463,
    981, 499, 1249, 5461, 43, 1, 1, 5, 11, 9, 1, 55, 147, 85, 857, 1995,
    3471, 6115, 5511, 1, 3, 3, 11, 11, 25, 27, 201, 497, 533, 643, 2015, 205,
    13535, 1, 3, 3, 3, 23, 53, 77, 143, 231, 335, 471, 1821, 739, 4727, 1,
    3, 1, 3, 13, 25, 53, 61, 155, 1013, 1439, 1745, 6393, 13329, 1, 3, 7,
    1, 5, 11, 111, 21, 357, 599, 1213, 3581, 1221, 75, 1, 3, 7, 7, 23,
    45, 79, 83, 97, 191, 53, 2157, 7737, 1533, 1, 3, 1, 9, 25, 17, 123,
    179, 151, 77, 1903, 1457, 1403, 13557, 1, 3, 3, 1, 23, 59, 65, 47, 119,
    113, 133, 3601, 7543, 16289, 1, 3, 5, 13, 17, 51, 33, 39, 257, 409, 659,
    3907, 7301, 8893, 1, 1, 7, 11, 31, 25, 79, 245, 465, 809, 1317, 1109, 5983,
    4359, 1, 1, 7, 7, 5, 25, 83, 239, 199, 497, 521, 1527, 4509, 12627, 1,
    1, 1, 11, 25, 33, 97, 171, 443, 75, 1681, 407, 7669, 14893, 1, 1, 3,
    13, 17, 31, 53, 113, 97, 653, 917, 11, 5697, 8083, 1, 1, 3, 9, 19,
    27, 1, 155, 89, 579, 951, 1779, 343, 12053, 1, 3, 7, 7, 23, 29, 33,
    143, 181, 25, 109, 3407, 3255, 15363, 1, 3, 3, 7, 5, 47, 119, 111, 315,
    225, 1655, 3019, 4835, 11641, 1, 1, 7, 1, 19, 51, 103, 219, 233, 633, 1923,
    1523, 467, 15363, 1, 1, 3, 3, 11, 5, 125, 143, 277, 5, 1597, 2445, 4261,
    12449, 1, 3, 1, 1, 7, 1, 103, 63, 23, 65, 1449, 3097, 601, 12563, 1,
    1, 7, 13, 31, 51, 23, 251, 193, 227, 1569, 439, 1037, 8013, 1, 3, 5,
    5, 17, 9, 45, 241, 197, 787, 555, 1951, 2697, 725, 1, 3, 5, 15, 9,
    43, 1, 211, 51, 645, 1977, 3085, 4003, 10331, 1, 1, 3, 11, 7, 31, 89,
    209, 505, 753, 641, 3177, 2791, 10727, 1, 3, 1, 1, 31, 13, 53, 223, 435,
    51, 571, 2033, 1689, 67, 1, 3, 1, 3, 21, 55, 19, 31, 273, 175, 1657,
    3399, 3031, 10271, 1, 1, 7, 9, 27, 51, 87, 157, 395, 57, 1501, 2547, 5061,
    11325, 1, 1, 1, 9, 19, 43, 55, 147, 193, 531, 511, 4019, 2317, 3727, 1,
    1, 1, 15, 1, 15, 5, 157, 335, 183, 619, 2483, 5817, 3247, 1, 1, 1,
    3, 29, 59, 27, 27, 355, 315, 193, 707, 5897, 4623, 1, 1, 7, 1, 23,
    29, 33, 123, 413, 317, 1099, 1633, 1619, 9141, 1, 1, 5, 11, 11, 49, 85,
    95, 73, 829, 929, 2013, 4653, 3045, 1, 1, 1, 13, 5, 63, 81, 177, 23,
    455, 1527, 2271, 2523, 3711, 1, 3, 3, 13, 9, 13, 1, 241, 225, 191, 933,
    657, 4557, 6903, 1, 3, 3, 15, 19, 29, 121, 3, 235, 729, 1705, 4035, 5429,
    15339, 1, 1, 7, 5, 3, 63, 79, 89, 363, 407, 325, 3045, 7761, 8855, 1,
    3, 3, 1, 13, 39, 69, 119, 45, 259, 577, 269, 2977, 2093, 1, 3, 3,
    3, 5, 9, 115, 161, 319, 799, 777, 459, 1823, 10971, 1, 3, 7, 9, 1,
    45, 31, 223, 421, 389, 1535, 1701, 3739, 9301, 1, 3, 5, 5, 5, 49, 53,
    189, 101, 475, 453, 1921, 7161, 4529, 1, 3, 5, 11, 29, 37, 53, 213, 371,
    985, 647, 765, 6303, 10947, 1, 3, 3, 15, 5, 23, 51, 199, 463, 11, 709,
    2083, 6337, 1115, 1, 1, 1, 1, 17, 57, 1, 91, 159, 1013, 1229, 2147, 571,
    335, 1, 3, 1, 11, 21, 53, 119, 221, 203, 467, 845, 645, 7939, 7257, 1,
    1, 5, 1, 9, 45, 87, 213, 483, 247, 1423, 1855, 583, 13339, 1, 1, 3,
    7, 13, 39, 89, 87, 467, 107, 185, 1507, 755, 12069, 1, 1, 5, 5, 5,
    49, 17, 61, 483, 877, 1887, 2973, 6733, 3241, 1, 1, 7, 15, 31, 25, 105,
    215, 449, 723, 973, 4011, 1079, 9713, 1, 3, 3, 5, 23, 61, 9, 85, 323,
    675, 101, 2451, 5441, 14371, 1, 1, 5, 9, 1, 47, 109, 177, 279, 675, 867,
    2053, 6975, 4829, 1, 3, 5, 15, 23, 15, 17, 49, 273, 839, 779, 3899, 3775,
    4289, 1, 3, 3, 13, 3, 5, 9, 83, 291, 727, 2041, 2221, 979, 761, 1,
    1, 5, 5, 7, 5, 23, 187, 293, 159, 847, 697, 7227, 9549, 1, 3, 5,
    7, 19, 7, 77, 57, 225, 443, 539, 1531, 857, 12997, 1, 3, 3, 9, 9,
    33, 79, 137, 15, 927, 1621, 1241, 5741, 13507, 1, 3, 7, 7, 11, 37, 87,
    255, 293, 649, 393, 2549, 8083, 13417, 1, 1, 3, 5, 19, 31, 47, 243, 423,
    663, 359, 3293, 7915, 16351, 1, 1, 1, 11, 19, 63, 87, 245, 445, 975, 1047,
    935, 4221, 851, 1, 3, 5, 1, 19, 43, 11, 85, 257, 875, 369, 1075, 1343,
    8487, 1, 1, 7, 13, 29, 35, 37, 201, 473, 853, 185, 3157, 6135, 7631, 1,
    1, 1, 13, 13, 53, 43, 55, 65, 999, 729, 857, 3645, 9793, 1, 1, 3,
    13, 21, 47, 85, 19, 1, 333, 989, 327, 4693, 3521, 1, 3, 1, 13, 11,
    39, 101, 209, 51, 53, 631, 1439, 5909, 9599, 1, 1, 7, 15, 29, 57, 21,
    181, 293, 807, 1299, 1001, 4265, 1811, 1, 1, 5, 13, 15, 1, 17, 63, 213,
    85, 1025, 3955, 2371, 9065, 1, 1, 5, 15, 13, 57, 23, 169, 93, 501, 7,
    2481, 123, 8985, 1, 3, 3, 3, 11, 61, 19, 133, 175, 833, 1753, 3871, 8169,
    2771, 1, 3, 5, 1, 11, 13, 57, 55, 385, 463, 785, 2339, 7117, 12519, 1,
    1, 1, 13, 15, 35, 27, 179, 375, 477, 1157, 2067, 6971, 8269, 1, 1, 3,
    11, 27, 21, 57, 125, 219, 433, 67, 307, 7327, 2915, 1, 3, 5, 7, 21,
    7, 111, 21, 85, 295, 1751, 821, 1175, 3109, 1, 1, 7, 1, 7, 51, 43,
    119, 89, 751, 835, 3969, 861, 5775, 1, 3, 1, 13, 5, 37, 93, 185, 435,
    283, 1221, 2965, 2845, 6025, 1, 1, 7, 7, 31, 27, 99, 143, 507, 461, 1999,
    3743, 4277, 13729, 1, 3, 1, 13, 15, 43, 99, 121, 245, 73, 829, 3887, 3093,
    16183, 1, 3, 3, 7, 15, 35, 29, 79, 457, 695, 1469, 1505, 3891, 14677, 1,
    3, 7, 7, 5, 59, 71, 179, 305, 9, 2043, 245, 1291, 14409, 1, 1, 3,
    1, 13, 7, 17, 43, 367, 163, 1649, 3671, 2663, 2277, 1, 1, 1, 5, 9,
    57, 115, 177, 271, 735, 263, 1137, 2127, 15367, 1, 3, 5, 7, 17, 11, 37,
    197, 459, 647, 307, 3617, 3201, 10293, 1, 1, 1, 7, 31, 37, 61, 59, 331,
    483, 1849, 1737, 2617, 5053, 1, 3, 5, 13, 31, 43, 31, 185, 261, 249, 1137,
    1285, 2885, 4289, 1, 1, 7, 3, 21, 53, 113, 163, 209, 25, 329, 2963, 7849,
    10933, 1, 1, 5, 1, 31, 23, 101, 151, 173, 193, 1267, 487, 4701, 8543, 1,
    1, 1, 1, 25, 33, 85, 31, 433, 537, 613, 1675, 6997, 11975, 1, 3, 7,
    1, 7, 59, 57, 249, 511, 371, 121, 3435, 8029, 11785, 1, 1, 7, 3, 19,
    61, 105, 27, 217, 47, 861, 2571, 6203, 805, 1, 1, 7, 13, 27, 33, 41,
    217, 39, 917, 355, 3083, 2803, 747, 1, 3, 7, 3, 23, 33, 43, 27, 151,
    399, 1307, 3269, 7941, 195, 1, 1, 3, 3, 3, 37, 71, 111, 389, 13, 1147,
    3649, 1497, 10459, 1, 1, 5, 5, 25, 23, 19, 251, 87, 347, 711, 3379, 4677,
    5651, 1, 1, 5, 3, 9, 21, 51, 85, 491, 67, 485, 2099, 3081, 11751, 1,
    1, 3, 15, 27, 37, 75, 71, 41, 823, 1035, 133, 7537, 129, 1, 1, 1,
    7, 31, 35, 75, 223, 379, 395, 2011, 1403, 4923, 391, 1, 1, 5, 1, 19,
    37, 87, 109, 291, 73, 355, 1427, 741, 7393, 1, 3, 3, 11, 23, 1, 109,
    81, 319, 1001, 1173, 2529, 5859, 3167, 1, 1, 1, 7, 17, 23, 121, 223, 49,
    203, 1653, 1567, 7795, 1631, 1, 3, 1, 15, 15, 61, 123, 141, 127, 871, 897,
    533, 231, 13767, 1, 3, 5, 15, 5, 17, 31, 5, 505, 65, 587, 3721, 5755,
    3865, 1, 1, 7, 11, 27, 59, 17, 17, 33, 399, 1963, 3135, 5807, 2427, 1,
    3, 1, 3, 29, 19, 77, 55, 511, 569, 729, 2893, 373, 643, 1, 1, 5,
    13, 17, 17, 101, 107, 449, 581, 905, 3281, 4487, 9397, 1, 1, 7, 9, 23,
    3, 103, 29, 291, 437, 1417, 2289, 3705, 14439, 1, 3, 1, 13, 11, 61, 7,
    87, 471, 707, 1823, 3971, 7255, 14395, 1, 3, 7, 13, 21, 25, 125, 19, 221,
    885, 1787, 3825, 7661, 8839, 1, 3, 5, 3, 29, 39, 21, 47, 475, 447, 405,
    3365, 5545, 11759, 1, 1, 7, 1, 13, 11, 113, 123, 411, 385, 533, 4091, 6451,
    6021, 1, 1, 3, 11, 7, 7, 25, 65, 105, 409, 1837, 2609, 6417, 16111, 1,
    3, 7, 15, 25, 11, 101, 151, 91, 305, 865, 2653, 3031, 2295, 1, 1, 1,
    15, 11, 53, 87, 203, 275, 915, 281, 687, 5857, 393, 1, 3, 3, 5, 15,
    11, 97, 169, 175, 325, 285, 2287, 7095, 5245, 1, 1, 5, 13, 25, 3, 31,
    79, 49, 637, 1927, 2361, 2233, 7935, 1, 1, 3, 11, 17, 41, 69, 9, 441,
    719, 765, 689, 475, 8613, 1, 1, 7, 1, 9, 11, 51, 175, 231, 975, 1983,
    1389, 205, 5051, 1, 1, 3, 7, 17, 37, 9, 193, 243, 331, 1545, 3905, 4601,
    7731, 1, 1, 5, 9, 9, 41, 27, 29, 231, 775, 1753, 1915, 7247, 6821, 1,
    3, 7, 13, 21, 9, 51, 165, 313, 951, 1897, 2123, 2999, 3171, 1, 1, 1,
    11, 25, 43, 81, 249, 309, 523, 373, 3293, 6607, 9495, 1, 1, 3, 1, 15,
    63, 11, 139, 319, 665, 1703, 1669, 4817, 3645, 1, 1, 7, 1, 11, 47, 117,
    245, 251, 341, 415, 815, 7335, 14297, 1, 1, 5, 13, 19, 33, 109, 191, 253,
    867, 1505, 2629, 6619, 7913, 1, 3, 5, 1, 7, 49, 53, 51, 285, 25, 1783,
    2201, 7603, 11365, 1, 1, 3, 11, 1, 49, 9, 89, 365, 909, 1563, 2719, 6859,
    14135, 1, 1, 1, 11, 17, 57, 21, 165, 419, 443, 1207, 3821, 1151, 14037, 1,
    1, 1, 3, 1, 31, 97, 133, 423, 993, 745, 3559, 7725, 2069, 1, 1, 1,
    7, 31, 1, 65, 3, 63, 255, 313, 515, 455, 4957, 1, 1, 1, 5, 5,
    31, 37, 121, 201, 493, 55, 3735, 5019, 5665, 1, 3, 3, 9, 9, 57, 55,
    155, 171, 687, 1415, 2017, 7021, 7409, 1, 3, 5, 3, 15, 23, 83, 79, 367,
    485, 1933, 315, 2591, 7609, 1, 3, 7, 3, 25, 49, 79, 15, 435, 809, 265,
    2215, 7207, 563, 1, 3, 7, 1, 19, 61, 103, 101, 51, 637, 639, 55, 4323,
    179, 1, 3, 1, 3, 23, 27, 33, 79, 215, 849, 331, 2881, 2109, 10309, 1,
    3, 5, 7, 21, 63, 113, 237, 63, 769, 63, 391, 1433, 6913, 1, 3, 3,
    15, 3, 53, 25, 187, 313, 93, 1499, 3281, 557, 12441, 1, 1, 1, 5, 7,
    27, 97, 211, 5, 31, 497, 1659, 7061, 807, 1, 3, 1, 9, 23, 3, 39,
    55, 369, 197, 299, 2529, 2703, 247, 1, 3, 3, 3, 15, 49, 119, 241, 45,
    303, 1741, 1077, 6735, 8079, 1, 3, 5, 5, 21, 55, 91, 17, 341, 123, 1389,
    2557, 3667, 4891, 1, 1, 7, 5, 27, 21, 107, 111, 85, 39, 863, 1965, 5173,
    49, 1, 1, 1, 5, 11, 5, 15, 185, 269, 711, 557, 2021, 7481, 4977, 1,
    1, 5, 9, 5, 1, 93, 139, 323, 915, 549, 1345, 6031, 3979, 1, 3, 3,
    7, 19, 9, 57, 177, 135, 65, 27, 795, 4637, 11977, 1, 3, 5, 13, 7,
    17, 117, 35, 257, 671, 1741, 1993, 1887, 8149, 1, 1, 7, 13, 3, 45, 5,
    199, 29, 227, 1613, 835, 2451, 13079, 1, 1, 5, 15, 23, 45, 87, 15, 349,
    843, 159, 3283, 1017, 15813, 1, 3, 3, 3, 21, 21, 31, 51, 481, 49, 1561,
    2171, 6025, 9955, 1, 1, 1, 3, 7, 51, 97, 195, 5, 251, 1509, 1479, 1165,
    16375, 1, 3, 5, 7, 7, 17, 43, 101, 281, 807, 2003, 2821, 6877, 2457, 1,
    1, 1, 1, 15, 23, 59, 91, 19, 933, 145, 673, 4729, 10369, 1, 3, 5,
    13, 31, 37, 9, 219, 343, 907, 1401, 213, 5149, 14171, 1, 3, 1, 3, 17,
    17, 61, 181, 281, 707, 113, 3595, 67, 15423, 1, 1, 5, 9, 3, 51, 69,
    93, 375, 451, 1181, 1353, 939, 629, 1, 3, 5, 11, 13, 33, 113, 85, 397,
    823, 1513, 283, 7167, 4627, 1, 3, 7, 9, 25, 31, 5, 17, 377, 429, 1841,
    3915, 6023, 11791, 1, 1, 1, 7, 15, 35, 45, 31, 427, 509, 1827, 1171, 7001,
    6419, 1, 1, 5, 5, 7, 37, 41, 35, 349, 73, 171, 35, 2333, 659, 1,
    1, 5, 15, 13, 61, 53, 87, 463, 143, 257, 3151, 6149, 10155, 1, 1, 3,
    9, 3, 17, 29, 151, 259, 881, 2003, 1057, 1867, 7773, 1, 3, 3, 1, 5,
    55, 97, 49, 473, 795, 1545, 1169, 187, 10475, 1, 1, 3, 7, 9, 11, 61,
    205, 71, 183, 1551, 621, 5715, 3401, 1, 3, 7, 13, 25, 41, 109, 211, 189,
    859, 1681, 3281, 8153, 13303, 1, 1, 5, 3, 13, 17, 81, 151, 189, 419, 1707,
    235, 355, 8295, 1, 3, 3, 13, 19, 33, 49, 249, 347, 617, 2037, 537, 755,
    5131, 1, 1, 1, 13, 23, 17, 93, 35, 357, 523, 355, 1159, 1329, 7663, 1,
    1, 5, 15, 15, 17, 81, 197, 479, 405, 55, 4095, 4931, 7663, 1, 3, 5,
    13, 1, 1, 17, 173, 259, 191, 1929, 2063, 6623, 5065, 1, 3, 5, 15, 31,
    21, 25, 33, 233, 663, 1687, 495, 5223, 439, 1, 3, 3, 5, 31, 47, 43,
    119, 491, 893, 1513, 2453, 6131, 8675, 1, 3, 5, 1, 21, 51, 21, 27, 35,
    613, 849, 3679, 4089, 9671, 1, 1, 3, 5, 29, 53, 125, 223, 415, 315, 811,
    513, 4833, 10667, 1, 1, 7, 11, 5, 49, 87, 47, 85, 115, 757, 567, 3655,
    4009, 1, 3, 1, 3, 9, 1, 65, 179, 55, 545, 467, 1615, 4349, 14745, 1,
    3, 3, 13, 7, 49, 91, 133, 151, 113, 1373, 203, 2711, 8045, 1, 1, 3,
    13, 13, 5, 53, 181, 397, 309, 1653, 2987, 175, 13419, 1, 1, 7, 13, 19,
    35, 17, 177, 77, 1011, 1667, 3083, 7977, 14925, 1, 1, 3, 15, 25, 33, 59,
    21, 345, 395, 1575, 2173, 159, 11799, 1, 3, 1, 13, 3, 19, 87, 135, 227,
    995, 1965, 3469, 3801, 1979, 1, 1, 1, 15, 11, 1, 51, 235, 37, 695, 1761,
    275, 5793, 4897, 1, 1, 7, 5, 13, 37, 123, 23, 363, 377, 2009, 2897, 207,
    15103, 1, 1, 1, 15, 3, 43, 49, 23, 351, 429, 1181, 2003, 1397, 9489, 1,
    3, 7, 7, 23, 61, 105, 149, 183, 83, 69, 121, 6719, 4729, 1, 1, 5,
    11, 27, 9, 119, 59, 115, 207, 1865, 3953, 45, 9739, 1, 1, 5, 5, 7,
    29, 81, 75, 361, 589, 1689, 49, 7125, 10563, 1, 1, 7, 7, 11, 21, 43,
    31, 43, 991, 357, 3707, 7679, 4305, 1, 1, 1, 3, 23, 41, 33, 167, 207,
    1015, 517, 1039, 4831, 753, 1, 3, 7, 9, 1, 29, 25, 227, 5, 935, 1201,
    2781, 6947, 1597, 1, 1, 1, 11, 13, 27, 79, 175, 25, 681, 1805, 1435, 7325,
    10439, 1, 3, 5, 15, 25, 21, 105, 175, 501, 43, 19, 965, 255, 4177, 1,
    3, 7, 9, 1, 27, 115, 105, 43, 181, 181, 3747, 3827, 13451, 1, 1, 5,
    1, 15, 27, 49, 57, 361, 911, 1735, 3815, 5935, 11793, 1, 3, 7, 11, 23,
    7, 103, 83, 343, 59, 1383, 945, 4839, 1475, 1, 1, 3, 9, 13, 17, 15,
    129, 449, 645, 719, 283, 7911, 14961, 1, 3, 1, 13, 1, 35, 27, 15, 177,
    983, 1537, 2439, 7459, 7107, 1, 1, 7, 3, 25, 45, 3, 163, 149, 285, 917,
    2233, 7463, 15869, 1, 1, 5, 9, 3, 3, 45, 175, 367, 261, 723, 3273, 5611,
    3323, 1, 1, 5, 15, 25, 25, 9, 189, 437, 807, 801, 3655, 5759, 9099, 1,
    3, 5, 3, 27, 37, 37, 177, 313, 179, 1897, 1299, 8041, 10523, 1, 1, 3,
    13, 7, 61, 105, 125, 343, 201, 1089, 43, 5645, 7547, 1, 1, 3, 9, 17,
    9, 69, 199, 333, 791, 1611, 1273, 7193, 6575, 1, 3, 1, 7, 7, 63, 79,
    225, 89, 391, 503, 3199, 1409, 4669, 1, 1, 1, 3, 29, 7, 3, 119, 361,
    269, 205, 1253, 113, 9665, 1, 3, 7, 13, 13, 59, 53, 75, 467, 317, 815,
    3401, 7223, 8237, 1, 1, 7, 1, 7, 15, 49, 191, 333, 1017, 399, 55, 931,
    14979, 1, 3, 1, 11, 23, 5, 113, 47, 105, 341, 615, 81, 7393, 1037, 1,
    3, 5, 11, 3, 29, 95, 3, 275, 257, 613, 1627, 695, 5929, 1, 3, 5,
    5, 11, 31, 57, 83, 77, 573, 969, 1237, 7449, 13959, 1, 3, 3, 5, 31,
    47, 51, 37, 123, 817, 1293, 771, 4241, 3007, 1, 1, 1, 13, 9, 13, 23,
    111, 311, 213, 1217, 2187, 5709, 6891, 1, 1, 3, 1, 7, 37, 29, 67, 109,
    747, 723, 2631, 649, 13007, 1, 3, 5, 3, 5, 55, 121, 203, 69, 515, 767,
    861, 7189, 3327, 1, 3, 7, 13, 27, 53, 91, 65, 247, 257, 799, 3115, 6301,
    15527, 1, 3, 1, 7, 27, 29, 19, 95, 343, 265, 53, 3227, 8011, 10223, 1,
    3, 1, 7, 23, 31, 89, 43, 455, 581, 2023, 845, 7765, 4811, 1, 3, 3,
    15, 31, 37, 117, 173, 343, 971, 491, 1447, 1547, 6737, 1, 3, 1, 1, 7,
    43, 75, 67, 407, 697, 51, 207, 2499, 9681, 1, 1, 3, 7, 17, 27, 55,
    3, 237, 983, 1, 1227, 2605, 8441, 1, 1, 1, 7, 3, 31, 47, 65, 119,
    823, 1055, 1047, 6067, 4267, 1, 3, 1, 15, 9, 11, 41, 211, 249, 739, 953,
    1365, 4749, 3723, 1, 1, 5, 5, 25, 29, 31, 75, 207, 395, 1843, 1737, 387,
    11871, 1, 1, 5, 15, 21, 5, 3, 221, 223, 975, 743, 2217, 7743, 4667, 1,
    1, 5, 1, 23, 63, 113, 149, 427, 499, 1259, 735, 2839, 503, 1, 3, 5,
    5, 19, 47, 53, 205, 385, 409, 475, 265, 8183, 11709, 1, 3, 7, 7, 21,
    25, 91, 143, 373, 967, 1735, 1149, 3077, 8809, 1, 3, 1, 1, 23, 39, 39,
    89, 241, 181, 1819, 3431, 1605, 2143, 1, 1, 7, 13, 27, 21, 69, 35, 327,
    233, 495, 157, 5961, 15785, 1, 1, 5, 15, 1, 29, 77, 249, 471, 31, 1805,
    1431, 1703, 3593, 1, 3, 1, 13, 13, 31, 15, 89, 35, 143, 487, 4047, 7681,
    1557, 1, 1, 5, 3, 21, 3, 81, 1, 15, 531, 1443, 2421, 4465, 4431, 1,
    1, 1, 13, 5, 25, 83, 1, 47, 723, 1427, 1013, 1525, 8877, 1, 1, 5,
    15, 25, 23, 71, 87, 13, 543, 1715, 2449, 4639, 8339, 1, 1, 7, 9, 1,
    27, 101, 129, 81, 747, 1745, 2545, 455, 14103, 1, 1, 1, 11, 23, 59, 125,
    49, 323, 989, 1959, 2349, 2835, 115, 1, 3, 1, 11, 29, 23, 31, 185, 273,
    43, 1093, 323, 751, 7473, 1, 1, 5, 7, 3, 51, 65, 231, 147, 69, 1635,
    1593, 7385, 1251, 1, 1, 3, 7, 21, 7, 109, 61, 387, 819, 417, 1393, 5535,
    12201, 1, 3, 1, 1, 11, 17, 41, 61, 361, 891, 69, 935, 2793, 1631, 1,
    3, 3, 13, 25, 31, 43, 47, 247, 723, 1703, 1499, 139, 8809, 1, 3, 5,
    1, 9, 47, 45, 117, 95, 345, 1431, 975, 6575, 1213, 1, 3, 1, 13, 29,
    37, 45, 91, 443, 471, 1363, 1839, 6263, 3289, 1, 1, 3, 5, 17, 17, 57,
    193, 477, 283, 1307, 967, 1793, 12551, 1, 1, 1, 7, 17, 1, 103, 67, 113,
    805, 1993, 3019, 1911, 11961, 1, 1, 3, 1, 23, 47, 19, 137, 511, 685, 1525,
    1703, 2513, 12541, 1, 3, 3, 3, 3, 7, 29, 45, 279, 855, 1931, 2261, 2097,
    2373, 1, 3, 7, 13, 13, 23, 105, 119, 473, 809, 925, 3295, 7547, 4229, 1,
    1, 1, 9, 27, 37, 3, 109, 257, 743, 1233, 2973, 3313, 2949, 1, 3, 7,
    13, 25, 37, 103, 157, 333, 127, 1893, 649, 7773, 15639, 1, 1, 1, 11, 13,
    53, 21, 67, 161, 859, 1715, 3303, 2527, 9487, 1, 1, 7, 3, 7, 27, 47,
    173, 103, 413, 719, 2865, 2337, 2963, 1, 1, 5, 11, 25, 17, 3, 105, 85,
    731, 933, 3967, 279, 14649, 1, 1, 7, 5, 11, 15, 37, 197, 443, 667, 1373,
    2961, 615, 6011, 1, 1, 3, 9, 11, 45, 9, 43, 339, 203, 27, 3047, 6531,
    1071, 1, 1, 3, 9, 1, 23, 111, 185, 485, 425, 2043, 3375, 4037, 8751, 1,
    1, 7, 7, 21, 35, 37, 87, 393, 149, 1475, 4027, 8125, 16021, 1, 1, 3,
    11, 21, 51, 125, 229, 49, 611, 919, 3103, 7239, 3553, 1, 3, 7, 5, 5,
    27, 77, 99, 313, 667, 413, 1933, 7977, 8903, 1, 3, 3, 9, 5, 47, 47,
    99, 181, 253, 433, 3385, 5789, 9043, 1, 3, 3, 13, 9, 9, 117, 51, 93,
    615, 1159, 251, 3345, 925, 1, 3, 1, 7, 21, 27, 75, 201, 489, 901, 643,
    2511, 3803, 11525, 1, 3, 3, 1, 15, 27, 117, 1, 69, 1019, 1853, 3745, 3549,
    5721, 1, 3, 7, 7, 23, 63, 113, 235, 315, 613, 1691, 2725, 2941, 11339, 1,
    1, 3, 15, 19, 1, 3, 157, 251, 443, 217, 2229, 6723, 15045, 1, 1, 1,
    3, 1, 1, 93, 133, 69, 897, 197, 2241, 1727, 3645, 1, 3, 3, 15, 31,
    33, 83, 21, 3, 243, 1857, 1343, 1359, 2631, 1, 1, 5, 13, 27, 17, 1,
    147, 113, 849, 1899, 1037, 5029, 6829, 1, 3, 1, 1, 21, 3, 95, 69, 425,
    185, 1983, 3887, 843, 14881, 1, 3, 5, 13, 11, 31, 49, 35, 349, 429, 1173,
    3783, 7979, 13651, 1, 1, 5, 11, 25, 13, 49, 97, 293, 661, 387, 79, 5863,
    9315, 1, 1, 5, 3, 27, 25, 9, 51, 185, 569, 1129, 2657, 6609, 8383, 1,
    1, 1, 11, 29, 7, 67, 77, 77, 661, 259, 2365, 3649, 9989, 1, 1, 5,
    9, 29, 59, 43, 241, 279, 177, 721, 1329, 3709, 8987, 1, 3, 5, 7, 25,
    35, 51, 213, 367, 735, 11, 1061, 497, 13593, 1, 1, 1, 9, 1, 39, 79,
    31, 497, 799, 1575, 2627, 2821, 4815, 1, 3, 7, 7, 15, 31, 99, 199, 369,
    829, 721, 3509, 3973, 9491, 1, 1, 1, 15, 7, 49, 125, 249, 295, 907, 1243,
    155, 2519, 2295, 1, 3, 7, 9, 7, 1, 63, 141, 505, 865, 1389, 1041, 191,
    4109, 1, 3, 5, 13, 5, 45, 5, 53, 77, 525, 579, 3077, 6737, 6839, 1,
    1, 3, 5, 23, 5, 127, 61, 421, 353, 589, 4095, 2841, 8095, 1, 1, 7,
    9, 3, 11, 49, 103, 75, 403, 441, 3513, 6535, 7811, 1, 3, 7, 13, 21,
    57, 115, 59, 341, 673, 759, 81, 6585, 9727, 1, 1, 3, 7, 29, 33, 35,
    201, 149, 41, 175, 1355, 5311, 85, 1, 3, 1, 1, 31, 5, 51, 83, 225,
    123, 1347, 2017, 6259, 1553, 1, 1, 5, 1, 17, 57, 77, 1, 393, 875, 887,
    1, 4007, 6391, 1, 1, 3, 5, 3, 31, 83, 167, 511, 19, 525, 323, 6991,
    10411, 1, 1, 7, 9, 15, 61, 77, 189, 43, 651, 305, 3107, 6433, 3035, 1,
    3, 1, 11, 25, 15, 51, 233, 395, 867, 145, 2215, 917, 13815, 1, 3, 1,
    13, 23, 15, 3, 103, 439, 691, 283, 3917, 5525, 11007, 1, 3, 7, 11, 11,
    49, 39, 31, 127, 521, 1327, 43, 1509, 679, 1, 1, 7, 5, 17, 27, 17,
    181, 337, 85, 1687, 3245, 5315, 5653, 1, 3, 5, 15, 31, 33, 3, 229, 103,
    337, 1337, 1961, 6053, 8661, 1, 3, 1, 7, 31, 63, 15, 135, 77, 583, 697,
    1353, 6543, 291, 1, 3, 7, 9, 17, 53, 55, 59, 149, 995, 1059, 1829, 7759,
    10901, 1, 3, 5, 7, 5, 63, 51, 123, 369, 861, 1835, 3369, 4555, 1623, 1,
    1, 3, 11, 23, 31, 21, 247, 417, 565, 689, 1401, 405, 6657, 1, 3, 7,
    7, 21, 21, 37, 123, 359, 133, 397, 173, 2135, 12407, 1, 1, 1, 3, 1,
    23, 91, 97, 421, 531, 975, 2647, 4337, 7775, 1, 1, 3, 13, 5, 9, 57,
    149, 243, 225, 79, 2745, 523, 16133, 1, 1, 1, 11, 7, 5, 97, 91, 15,
    217, 991, 1465, 3975, 8467, 1, 3, 7, 13, 9, 61, 97, 153, 411, 801, 59,
    603, 5919, 9509, 1, 3, 5, 7, 29, 11, 71, 111, 473, 985, 931, 1211, 653,
    13933, 1, 1, 3, 3, 29, 49, 71, 105, 29, 333, 1261, 3791, 5349, 15675, 1,
    1, 7, 13, 3, 53, 73, 77, 451, 547, 51, 669, 7355, 8325, 1, 1, 1,
    13, 7, 9, 37, 87, 273, 275, 191, 469, 7529, 1955, 1, 3, 5, 3, 21,
    5, 121, 195, 327, 477, 1661, 3499, 7903, 9053, 1, 3, 3, 11, 29, 41, 25,
    13, 429, 351, 723, 3901, 5841, 9783, 1, 3, 1, 5, 1, 25, 15, 203, 47,
    289, 67, 847, 5547, 15845, 1, 3, 3, 11, 21, 7, 53, 39, 461, 153, 1739,
    4021, 307, 1435, 1, 3, 5, 5, 7, 17, 87, 23, 47, 839, 1841, 3877, 2401,
    853, 1, 3, 3, 9, 31, 37, 15, 49, 171, 757, 499, 1455, 2151, 6169, 1,
    1, 5, 1, 31, 19, 33, 87, 507, 685, 1765, 3109, 7221, 8047, 1, 1, 7,
    7, 23, 7, 25, 45, 167, 865, 465, 3377, 7203, 7825, 1, 3, 3, 13, 15,
    53, 79, 111, 391, 777, 367, 1445, 5243, 1929, 1, 1, 3, 15, 11, 11, 57,
    115, 239, 77, 797, 2073, 831, 11879, 1, 1, 7, 5, 23, 11, 91, 153, 29,
    729, 241, 2627, 6447, 13239, 1, 1, 7, 9, 31, 11, 59, 243, 105, 83, 363,
    3473, 315, 2371, 1, 3, 5, 1, 19, 31, 111, 91, 215, 697, 103, 3323, 7259,
    13625, 1, 1, 1, 11, 5, 59, 83, 129, 45, 223, 835, 1965, 3975, 15233, 1,
    3, 7, 11, 19, 11, 31, 225, 175, 209, 619, 3127, 4943, 9701, 1, 1, 1,
    3, 3, 19, 21, 133, 7, 151, 1017, 3867, 3699, 13051, 1, 1, 5, 9, 27,
    17, 81, 139, 439, 11, 265, 659, 1329, 4259, 1, 3, 5, 1, 1, 59, 105,
    251, 131, 817, 1215, 3005, 3417, 5637, 1, 3, 3, 15, 31, 37, 27, 243, 225,
    631, 2023, 2509, 249, 593, 1, 1, 3, 11, 27, 51, 89, 33, 423, 423, 789,
    3627, 2995, 8477, 1, 3, 5, 5, 5, 31, 69, 65, 381, 375, 221, 477, 3311,
    12103, 1, 3, 1, 15, 31, 1, 75, 97, 143, 749, 581, 4019, 4655, 15571, 1,
    3, 7, 3, 1, 31, 51, 151, 127, 917, 975, 2839, 3815, 7405, 1, 3, 1,
    3, 9, 61, 93, 49, 41, 881, 1205, 2425, 7727, 2687, 1, 3, 3, 3, 27,
    11, 99, 51, 51, 937, 1511, 3891, 3955, 6055, 1, 3, 3, 3, 3, 27, 81,
    107, 409, 895, 1869, 2721, 1505, 9877, 1, 1, 1, 5, 11, 43, 101, 7, 263,
    881, 1029, 1491, 4147, 10339, 1, 1, 3, 11, 25, 21, 85, 145, 489, 335, 643,
    4019, 951, 5885, 1, 1, 1, 15, 3, 55, 113, 87, 53, 839, 381, 1961, 3865,
    2841, 1, 1, 3, 13, 11, 33, 25, 95, 47, 321, 649, 1641, 1715, 3815, 1,
    1, 1, 15, 23, 59, 5, 3, 451, 781, 867, 747, 793, 6147, 1, 1, 1,
    15, 3, 27, 31, 125, 355, 837, 689, 3599, 1451, 2167, 1, 1, 3, 9, 21,
    5, 101, 37, 465, 115, 1607, 2999, 631, 1435, 1, 3, 5, 9, 19, 41, 91,
    241, 375, 707, 1573, 105, 863, 11273, 1, 1, 5, 15, 17, 63, 95, 83, 273,
    617, 1299, 1259, 7997, 5225, 1, 3, 5, 9, 11, 5, 127, 67, 189, 733, 1175,
    3099, 6561, 7771, 1, 1, 7, 11, 13, 45, 75, 101, 279, 147, 177, 225, 557,
    9413, 1, 3, 1, 13, 11, 53, 49, 71, 451, 327, 567, 531, 589, 15395, 1,
    1, 7, 13, 29, 51, 95, 227, 87, 171, 1769, 2799, 2589, 7255, 1, 1, 5,
    7, 1, 51, 109, 135, 99, 957, 1681, 2217, 2247, 6567, 1, 1, 3, 7, 27,
    57, 101, 51, 237, 835, 1339, 955, 5969, 12511, 1, 1, 5, 1, 21, 9, 95,
    247, 309, 413, 17, 3473, 3961, 8555, 1, 1, 1, 1, 21, 47, 29, 33, 135,
    447, 1387, 107, 4781, 10987, 1, 1, 3, 11, 5, 17, 41, 103, 83, 829, 1449,
    4047, 4807, 7277, 1, 3, 7, 15, 5, 1, 75, 241, 235, 701, 1529, 1621, 7995,
    6243, 1, 1, 3, 5, 23, 49, 31, 173, 83, 961, 1293, 1279, 2495, 10805, 1,
    1, 1, 1, 15, 39, 17, 81, 167, 209, 685, 1089, 7197, 15773, 1, 1, 1,
    15, 29, 1, 73, 113, 21, 301, 1087, 2529, 6835, 8089, 1, 1, 5, 15, 1,
    7, 99, 87, 177, 537, 283, 205, 6241, 12489, 1, 3, 7, 3, 11, 13, 89,
    43, 37, 859, 263, 2623, 6941, 7433, 1, 3, 3, 13, 9, 47, 13, 155, 109,
    507, 343, 1049, 4915, 14873, 1, 1, 5, 1, 5, 37, 5, 71, 1, 17, 417,
    3137, 3045, 5835, 1, 3, 3, 5, 15, 43, 31, 235, 379, 807, 89, 3375, 123,
    9783, 1, 3, 5, 3, 19, 23, 53, 129, 493, 393, 91, 2345, 1959, 745, 1,
    3, 3, 13, 21, 33, 31, 125, 99, 167, 685, 733, 6479, 10391, 1, 1, 1,
    11, 1, 17, 9, 245, 75, 281, 1427, 675, 5393, 8841, 1, 1, 3, 7, 15,
    63, 31, 83, 359, 643, 77, 3941, 5477, 3435, 1, 1, 3, 9, 31, 21, 3,
    111, 233, 745, 1819, 2617, 5735, 15237, 1, 3, 1, 9, 29, 23, 99, 25, 119,
    69, 1063, 651, 4983, 14079, 1, 3, 3, 3, 9, 53, 47, 127, 443, 113, 1651,
    2967, 6633, 10025, 1, 3, 7, 7, 19, 11, 5, 49, 23, 567, 1095, 3815, 4187,
    5305, 1, 1, 1, 11, 29, 63, 85, 147, 105, 307, 1829, 27, 7499, 15661, 1,
    3, 3, 9, 15, 19, 97, 65, 71, 597, 551, 947, 8047, 8513, 1, 1, 5,
    1, 29, 31, 1, 135, 159, 769, 997, 3027, 1485, 12627, 1, 1, 3, 15, 29,
    47, 37, 43, 45, 649, 719, 1757, 4619, 11571, 1, 1, 1, 5, 9, 9, 117,
    207, 107, 651, 1155, 2047, 7489, 5959, 1, 3, 1, 13, 29, 37, 69, 243, 347,
    849, 1503, 3985, 6081, 1471, 1, 1, 1, 11, 1, 21, 107, 9, 377, 147, 925,
    3055, 397, 11337, 1, 3, 5, 9, 27, 45, 57, 177, 229, 925, 855, 2203, 8065,
    299, 1, 3, 1, 11, 5, 1, 77, 149, 339, 1023, 89, 3509, 4315, 6571, 1,
    1, 3, 11, 19, 51, 49, 191, 179, 941, 1409, 1789, 3363, 11507, 1, 3, 3,
    13, 29, 25, 47, 61, 121, 243, 1155, 3915, 5397, 6289, 1, 1, 1, 3, 31,
    55, 25, 125, 239, 277, 165, 3631, 3609, 13607, 1, 3, 1, 15, 11, 23, 41,
    199, 239, 805, 2021, 3377, 3103, 10657, 1, 1, 7, 1, 27, 49, 9, 219, 383,
    523, 1357, 501, 733, 631, 1, 3, 5, 13, 1, 51, 125, 185, 205, 231, 247,
    2579, 1283, 3383, 1, 1, 7, 13, 13, 49, 81, 243, 111, 219, 409, 3755, 3783,
    8159, 1, 3, 7, 5, 13, 33, 109, 245, 141, 391, 101, 2043, 4091, 379, 1,
    1, 7, 3, 27, 39, 7, 223, 107, 969, 1117, 3599, 8063, 7737, 1, 1, 5,
    5, 11, 19, 9, 47, 41, 571, 1831, 3, 5721, 14897, 1, 1, 7, 5, 11,
    25, 75, 159, 77, 843, 61, 2283, 4033, 15099, 1, 3, 7, 1, 5, 23, 57,
    117, 45, 373, 831, 3047, 5829, 3205, 1, 3, 5, 11, 31, 29, 45, 129, 25,
    519, 661, 2033, 3003, 12469, 1, 3, 1, 15, 5, 37, 55, 247, 129, 299, 1317,
    3543, 421, 12299, 1, 3, 1, 9, 23, 63, 5, 117, 425, 883, 1997, 1701, 415,
    3279, 1, 3, 3, 5, 1, 21, 23, 109, 55, 377, 1565, 2821, 4995, 3151, 1,
    3, 7, 7, 19, 39, 43, 169, 141, 353, 459, 2509, 1503, 3597, 1, 1, 1,
    3, 17, 55, 121, 49, 229, 589, 579, 2935, 4647, 12887, 1, 3, 3, 11, 11,
    47, 11, 119, 83, 701, 197, 583, 7997, 11635, 1, 1, 3, 5, 25, 47, 85,
    21, 317, 887, 1551, 2309, 4227, 8115, 1, 1, 3, 5, 13, 23, 71, 7, 419,
    873, 1423, 2213, 7485, 13237, 1, 3, 7, 7, 25, 55, 43, 141, 125, 583, 451,
    3897, 4059, 7409, 1, 1, 7, 5, 19, 55, 13, 61, 461, 353, 981, 2271, 4881,
    12761, 1, 3, 3, 9, 31, 61, 105, 105, 497, 173, 1111, 873, 1869, 9027, 1,
    1, 1, 3, 31, 31, 93, 119, 399, 617, 1977, 3913, 8061, 13017, 1, 3, 7,
    9, 17, 7, 89, 149, 119, 791, 839, 3643, 7545, 13329, 1, 1, 5, 1, 13,
    59, 35, 231, 3, 703, 881, 45, 5979, 3249, 1, 1, 1, 7, 1, 21, 117,
    105, 3, 791, 1563, 2303, 3533, 7853, 1, 3, 3, 5, 11, 11, 109, 115, 233,
    471, 509, 821, 7209, 15463, 1, 1, 5, 5, 13, 1, 83, 99, 21, 369, 751,
    277, 881, 8963, 1, 3, 1, 1, 27, 57, 3, 219, 509, 337, 1469, 2881, 7911,
    1983, 1, 1, 7, 15, 1, 25, 35, 243, 243, 491, 1031, 2905, 4293, 8387, 1,
    1, 1, 15, 5, 1, 121, 71, 129, 333, 1121, 917, 6627, 3291, 1, 3, 5,
    3, 7, 37, 13, 7, 115, 863, 345, 603, 1471, 15843, 1, 3, 7, 3, 3,
    49, 29, 79, 185, 685, 1691, 3469, 7111, 915, 1, 1, 3, 1, 19, 61, 67,
    143, 133, 457, 1865, 3403, 2557, 2603, 1, 1, 1, 15, 27, 25, 9, 87, 489,
    23, 1251, 1995, 4737, 3099, 1, 1, 7, 11, 5, 43, 55, 85, 43, 621, 145,
    1507, 4895, 687, 1, 3, 7, 15, 7, 35, 101, 19, 35, 609, 1433, 3877, 3661,
    2517, 1, 3, 1, 5, 31, 47, 89, 225, 95, 941, 287, 1163, 6537, 10907, 1,
    3, 7, 1, 15, 61, 65, 205, 413, 147, 833, 2097, 5465, 6309, 1, 3, 5,
    11, 27, 55, 37, 185, 265, 343, 805, 325, 283, 1935, 1, 1, 3, 13, 29,
    7, 55, 243, 101, 87, 2015, 2897, 2087, 47, 1, 3, 5, 11, 27, 1, 125,
    65, 205, 525, 655, 3881, 993, 3967, 1, 3, 3, 9, 3, 61, 85, 31, 257,
    257, 1227, 3329, 731, 7223, 1, 1, 7, 15, 29, 49, 49, 171, 95, 475, 601,
    1325, 3995, 14421, 1, 1, 1, 11, 21, 23, 97, 65, 53, 417, 181, 551, 6583,
    12835, 1, 3, 3, 1, 27, 37, 37, 143, 181, 59, 1011, 97, 2757, 15537, 1,
    3, 5, 9, 5, 47, 121, 91, 297, 897, 813, 2563, 1779, 12675, 1, 3, 7,
    9, 17, 61, 31, 47, 509, 55, 1401, 2251, 4327, 10409, 1, 3, 1, 3, 15,
    29, 97, 37, 295, 271, 893, 1135, 1651, 9271, 1, 3, 5, 15, 29, 37, 65,
    247, 247, 341, 865, 2163, 6827, 1849, 1, 3, 3, 11, 27, 27, 105, 67, 283,
    221, 1445, 3283, 865, 3747, 1, 3, 5, 7, 7, 33, 63, 193, 219, 357, 1755,
    2521, 5375, 10049, 1, 3, 5, 7, 17, 43, 113, 171, 237, 75, 1257, 251, 4681,
    14793, 1, 3, 5, 11, 15, 15, 103, 163, 61, 263, 1165, 4021, 6833, 2675, 1,
    3, 1, 5, 21, 63, 69, 29, 237, 473, 1457, 3545, 1457, 7595, 1, 3, 3,
    1, 29, 33, 85, 103, 469, 579, 387, 2113, 5365, 7955, 1, 1, 3, 13, 7,
    37, 99, 87, 147, 401, 125, 1233, 1463, 15067, 1, 1, 1, 3, 29, 11, 17,
    89, 55, 273, 1069, 203, 941, 13667, 1, 3, 7, 3, 3, 53, 75, 163, 79,
    63, 1851, 1495, 6537, 6329, 1, 3, 3, 3, 7, 53, 39, 35, 211, 275, 553,
    1247, 3137, 11513, 1, 1, 3, 15, 25, 37, 15, 249, 79, 227, 1297, 277, 7693,
    2431, 1, 3, 7, 3, 15, 53, 61, 27, 313, 817, 699, 3743, 6683, 11909, 1,
    1, 3, 7, 9, 3, 77, 25, 421, 403, 1729, 1349, 5995, 7579, 1, 1, 7,
    5, 29, 25, 1, 3, 69, 479, 699, 1317, 6729, 7701, 1, 1, 1, 9, 15,
    51, 41, 227, 195, 101, 1783, 485, 1157, 1849, 1, 3, 3, 11, 1, 31, 111,
    149, 361, 291, 1353, 3531, 473, 8545, 1, 1, 1, 3, 9, 35, 31, 165, 175,
    617, 1063, 179, 957, 1395, 1, 1, 3, 1, 1, 5, 21, 191, 379, 293, 439,
    1575, 243, 5013, 1, 3, 3, 1, 1, 21, 107, 91, 473, 809, 993, 2599, 8151,
    10927, 1, 1, 1, 13, 13, 35, 71, 37, 173, 545, 1279, 225, 3275, 8823, 1,
    3, 1, 7, 3, 21, 97, 23, 197, 535, 741, 3481, 919, 14675, 14019, 1, 3,
    1, 3, 23, 25, 73, 203, 405, 287, 1167, 2313, 3065, 6385, 16509, 1, 1, 7,
    15, 9, 23, 59, 241, 245, 865, 97, 931, 3317, 747, 14415, 1, 3, 7, 13,
    7, 13, 73, 213, 345, 707, 1223, 517, 4427, 9539, 2669, 1, 1, 5, 15, 29,
    41, 75, 149, 445, 933, 1727, 1967, 1927, 1205, 30051, 1, 1, 7, 9, 17, 57,
    119, 115, 39, 957, 309, 3197, 6849, 7151, 1771, 1, 1, 3, 11, 19, 57, 25,
    89, 223, 921, 1741, 2695, 3571, 11933, 4973, 1, 1, 3, 3, 29, 37, 77, 239,
    63, 231, 639, 1311, 725, 5699, 15709, 1, 3, 5, 5, 31, 23, 53, 27, 353,
    851, 685, 169, 5325, 13675, 21493, 1, 3, 5, 9, 31, 13, 37, 7, 51, 211,
    1807, 3107, 6485, 12595, 1097, 1, 1, 7, 15, 9, 3, 33, 197, 357, 841, 1233,
    2065, 5009, 5863, 11287, 1, 3, 7, 9, 27, 15, 75, 195, 223, 689, 1181, 1597,
    2553, 7985, 13593, 1, 1, 5, 5, 21, 41, 97, 121, 293, 639, 1799, 689, 6941,
    14179, 11007, 1, 1, 3, 7, 21, 61, 91, 177, 213, 757, 123, 2021, 1493, 2365,
    9713, 1, 1, 1, 7, 3, 57, 33, 229, 45, 351, 1671, 2047, 7685, 14375, 5773,
    1, 1, 7, 7, 23, 55, 19, 83, 11, 463, 83, 3071, 5257, 2741, 31137, 1,
    3, 3, 5, 5, 31, 53, 135, 255, 711, 1873, 609, 3395, 16137, 19947, 1, 3,
    7, 7, 13, 29, 117, 203, 387, 529, 1301, 3199, 1843, 5381, 12491, 1, 3, 1,
    15, 25, 61, 21, 75, 111, 757, 1611, 2911, 5805, 5787, 5099, 1, 3, 3, 5,
    1, 33, 51, 45, 115, 45, 1155, 951, 6471, 10233, 8053, 1, 3, 7, 1, 11,
    13, 17, 167, 391, 219, 277, 3311, 1761, 6741, 6253, 1, 1, 3, 7, 3, 9,
    43, 187, 113, 747, 1207, 3513, 1055, 15145, 3793, 1, 1, 7, 13, 3, 33, 127,
    95, 47, 663, 1581, 489, 2303, 15183, 21671, 1, 3, 7, 9, 15, 7, 53, 143,
    313, 167, 425, 3153, 7241, 3019, 27323, 1, 1, 5, 1, 1, 47, 47, 211, 79,
    495, 1383, 2373, 141, 2933, 11535, 1, 3, 1, 11, 13, 35, 79, 105, 329, 235,
    667, 2431, 6427, 15335, 15013, 1, 3, 3, 9, 25, 33, 27, 241, 153, 197, 221,
    3149, 2357, 4485, 17877, 1, 1, 1, 7, 31, 29, 43, 39, 439, 799, 293, 727,
    6387, 12257, 15701, 1, 3, 1, 1, 17, 47, 105, 33, 275, 269, 259, 2293, 1829,
    13141, 3015, 1, 1, 3, 3, 29, 27, 43, 161, 131, 95, 851, 1269, 491, 4073,
    3481, 1, 3, 7, 3, 23, 13, 35, 137, 405, 899, 1521, 2193, 725, 11967, 16937,
    1, 3, 1, 15, 5, 15, 113, 139, 307, 125, 635, 477, 493, 9879, 21125, 1,
    1, 7, 11, 19, 9, 117, 173, 447, 485, 1073, 2893, 1767, 10299, 31449, 1, 3,
    7, 3, 11, 53, 99, 109, 393, 281, 187, 1557, 3597, 5215, 4033, 1, 1, 1,
    3, 5, 15, 33, 33, 37, 445, 1415, 2885, 2625, 465, 2745, 1, 3, 1, 13,
    7, 13, 93, 141, 427, 663, 1863, 991, 2001, 701, 18287, 1, 3, 1, 7, 19,
    47, 65, 49, 425, 691, 1487, 2725, 6145, 4983, 11871, 1, 1, 7, 11, 27, 35,
    89, 147, 413, 1007, 755, 3883, 4737, 10399, 19073, 1, 3, 3, 1, 11, 41, 27,
    225, 237, 407, 461, 1881, 3761, 6587, 28923, 1, 3, 5, 9, 1, 3, 93, 179,
    157, 227, 571, 1901, 1407, 12059, 15281, 1, 3, 1, 15, 27, 29, 55, 169, 65,
    517, 1801, 177, 5687, 9597, 5167, 1, 1, 3, 5, 25, 47, 57, 15, 491, 631,
    1567, 25, 2087, 7513, 15107, 1, 1, 1, 11, 15, 55, 13, 39, 203, 487, 1235,
    389, 281, 499, 20119, 1, 3, 3, 15, 29, 53, 127, 211, 301, 509, 611, 1293,
    6495, 10211, 4905, 1, 3, 5, 3, 13, 15, 31, 205, 237, 429, 1721, 3953, 8153,
    16275, 30421, 1, 3, 7, 11, 27, 17, 43, 123, 503, 507, 257, 447, 6315, 5023,
    6995, 1, 3, 5, 15, 27, 33, 127, 33, 241, 1001, 1009, 1263, 4627, 9329, 29191,
    1, 1, 1, 13, 13, 45, 125, 77, 247, 123, 1581, 537, 799, 15417, 30457, 1,
    3, 5, 5, 9, 29, 39, 211, 243, 871, 1581, 4029, 4791, 13393, 25341, 1, 3,
    1, 5, 15, 17, 123, 123, 303, 207, 1551, 3633, 5591, 2725, 5707, 1, 1, 7,
    11, 29, 41, 111, 73, 163, 511, 1305, 3235, 4725, 13589, 9611, 1, 1, 1, 1,
    19, 51, 17, 225, 499, 1013, 7, 1793, 7073, 10115, 18195, 1, 1, 7, 9, 17,
    35, 107, 87, 251, 19, 959, 1389, 6725, 8555, 14571, 1, 1, 1, 9, 1, 13,
    79, 163, 17, 87, 1121, 1813, 1213, 3325, 18083, 1, 3, 1, 3, 27, 5, 107,
    143, 211, 459, 257, 957, 1183, 2367, 24687, 1, 1, 7, 15, 1, 33, 51, 25,
    379, 829, 1657, 273, 4507, 9609, 879, 1, 1, 7, 15, 1, 31, 43, 181, 147,
    373, 83, 2179, 6363, 1871, 10209, 1, 1, 1, 15, 9, 29, 105, 255, 483, 573,
    1841, 1101, 2987, 1619, 18837, 1, 3, 5, 11, 17, 19, 67, 109, 13, 247, 1365,
    2153, 5597, 5785, 25877, 1, 1, 3, 7, 17, 49, 121, 163, 49, 689, 1917, 2161,
    7979, 8153, 12889, 1, 1, 3, 7, 5, 49, 39, 251, 311, 69, 553, 2789, 2415,
    6521, 26847, 1, 1, 3, 5, 15, 51, 67, 227, 245, 893, 493, 1191, 3061, 249,
    16603, 1, 3, 1, 3, 17, 63, 35, 41, 269, 75, 147, 3229, 7985, 5789, 6365,
    1, 3, 1, 13, 21, 33, 125, 39, 343, 133, 389, 2467, 4079, 14315, 17047, 1,
    3, 1, 7, 27, 61, 73, 107, 143, 665, 155, 2865, 3017, 7307, 8771, 1, 1,
    5, 7, 25, 57, 57, 39, 195, 405, 1863, 2985, 5775, 9609, 24409, 1, 3, 3,
    5, 11, 27, 91, 169, 343, 673, 1317, 1763, 1603, 527, 18945, 1, 3, 7, 7,
    17, 39, 113, 47, 483, 793, 1295, 1305, 7025, 14849, 17703, 1, 1, 5, 9, 5,
    43, 119, 149, 103, 63, 1369, 3791, 3081, 10587, 12711, 1, 3, 5, 15, 9, 55,
    105, 171, 199, 883, 1113, 3559, 1979, 8823, 12407, 1, 3, 3, 9, 27, 51, 105,
    163, 203, 25, 1579, 351, 8071, 5921, 28935, 1, 1, 5, 15, 15, 43, 115, 115,
    5, 283, 1935, 2619, 2543, 7603, 2877, 1, 3, 7, 9, 31, 29, 17, 67, 121,
    187, 563, 377, 3947, 7699, 8677, 1, 1, 5, 1, 5, 1, 121, 211, 109, 955,
    1605, 3681, 5395, 797, 19243, 1, 1, 7, 13, 7, 63, 73, 215, 403, 465, 1317,
    3141, 4511, 12579, 20839, 1, 3, 5, 7, 9, 63, 39, 55, 353, 395, 233, 1189,
    1781, 9167, 887, 1, 1, 7, 1, 1, 55, 93, 63, 211, 635, 1767, 827, 7257,
    119, 26333, 1, 1, 3, 11, 9, 33, 17, 205, 303, 713, 65, 3539, 5069, 8895,
    3843, 1, 1, 3, 15, 3, 59, 45, 135, 103, 293, 731, 359, 3631, 7967, 30043,
    1, 3, 3, 7, 25, 7, 27, 161, 9, 509, 1345, 3759, 7957, 5975, 17981, 1,
    3, 1, 7, 13, 41, 105, 241, 331, 437, 2027, 2589, 5201, 11373, 22581, 1, 3,
    7, 13, 5, 3, 37, 43, 125, 521, 1059, 291, 4421, 5215, 16835, 1, 1, 5,
    15, 13, 15, 85, 175, 221, 527, 173, 1333, 7505, 883, 2215, 1, 3, 5, 11,
    27, 63, 5, 215, 85, 229, 165, 525, 2693, 15089, 4907, 1, 3, 7, 15, 25,
    13, 91, 81, 81, 189, 671, 539, 2393, 9627, 17667, 1, 1, 1, 5, 5, 9,
    45, 43, 337, 841, 853, 3969, 5917, 5837, 17265, 1, 1, 7, 9, 1, 57, 33,
    29, 235, 69, 815, 147, 7251, 2933, 32405, 1, 3, 1, 3, 29, 1, 3, 13,
    483, 825, 31, 2289, 185, 9075, 15495, 1, 3, 3, 3, 1, 33, 127, 53, 229,
    975, 91, 3259, 7969, 4193, 18433, 1, 1, 3, 7, 7, 43, 89, 193, 51, 563,
    1961, 3959, 1901, 10393, 679, 1, 1, 5, 9, 29, 11, 57, 227, 163, 169, 1969,
    3087, 3221, 15499, 12255, 1, 3, 7, 5, 31, 47, 45, 37, 257, 383, 1347, 3923,
    7963, 13459, 8755, 1, 1, 1, 3, 5, 53, 19, 219, 261, 313, 1889, 3185, 5309,
    14049, 5231, 1, 3, 3, 13, 29, 19, 49, 221, 443, 125, 929, 2445, 6713, 5639,
    2657, 1, 1, 7, 3, 17, 59, 87, 227, 305, 67, 311, 3473, 4785, 10761, 2871,
    1, 1, 5, 7, 31, 63, 103, 127, 49, 839, 1991, 41, 5019, 12779, 25489, 1,
    3, 5, 9, 9, 45, 127, 29, 441, 481, 49, 1975, 1523, 759, 847, 1, 3,
    5, 13, 1, 25, 89, 19, 53, 17, 1449, 603, 473, 9965, 14455, 1, 3, 1,
    7, 19, 9, 27, 97, 321, 1007, 1283, 3805, 539, 2979, 4631, 1, 3, 1, 5,
    9, 3, 9, 237, 349, 277, 1791, 3325, 865, 4305, 29293, 1, 1, 1, 9, 13,
    23, 63, 33, 381, 711, 1921, 1385, 5949, 8837, 3589, 1, 3, 1, 7, 15, 5,
    7, 175, 15, 343, 1587, 2917, 4189, 14973, 1691, 1, 1, 3, 15, 17, 59, 123,
    195, 377, 35, 917, 1045, 721, 9759, 15287, 1, 1, 3, 15, 29, 3, 15, 147,
    283, 449, 175, 1771, 2359, 7541, 11657, 1, 3, 1, 3, 1, 11, 45, 117, 235,
    75, 247, 917, 6135, 13817, 27365, 1, 1, 7, 3, 1, 45, 31, 97, 281, 739,
    829, 1837, 1709, 877, 25275, 1, 3, 7, 11, 3, 35, 11, 55, 233, 471, 1239,
    1345, 2475, 13391, 25447, 1, 1, 5, 7, 27, 33, 111, 89, 173, 361, 1641, 381,
    1629, 5663, 17715, 1, 3, 1, 1, 31, 59, 11, 165, 129, 513, 1729, 2707, 4665,
    3381, 7915, 1, 3, 1, 11, 19, 15, 3, 99, 21, 255, 515, 1619, 1819, 4143,
    24317, 1, 3, 1, 9, 11, 33, 13, 143, 39, 557, 901, 187, 2963, 13413, 5641,
    1, 3, 3, 13, 5, 27, 87, 63, 41, 57, 2009, 493, 2565, 14931, 24071, 1,
    3, 1, 1, 7, 11, 31, 107, 343, 395, 841, 467, 1019, 3861, 19595, 1, 1,
    7, 13, 5, 15, 113, 23, 421, 693, 1421, 2213, 3589, 3713, 1353, 1, 3, 1,
    7, 17, 1, 87, 217, 333, 797, 1971, 917, 3527, 10061, 19353, 1, 3, 1, 5,
    5, 51, 17, 239, 275, 221, 1621, 215, 319, 12041, 15669, 1, 1, 7, 11, 27,
    33, 31, 19, 365, 951, 1453, 141, 1249, 16313, 30607, 1, 3, 1, 9, 15, 19,
    127, 247, 161, 921, 195, 2857, 1573, 11077, 15997, 1, 1, 1, 1, 9, 43, 57,
    103, 215, 337, 1705, 961, 6895, 2671, 7157, 1, 1, 7, 3, 13, 55, 123, 19,
    279, 571, 1039, 2545, 5961, 12373, 11479, 1, 3, 7, 11, 7, 35, 85, 89, 407,
    359, 1897, 231, 7653, 9215, 9957, 1, 3, 7, 5, 23, 53, 13, 153, 221, 363,
    1481, 1069, 1023, 8573, 29385, 1, 1, 1, 3, 15, 63, 1, 57, 373, 35, 725,
    135, 5593, 5593, 8365, 1, 1, 5, 3, 7, 35, 25, 69, 441, 451, 1109, 1723,
    1617, 3947, 22349, 1, 3, 5, 3, 27, 55, 75, 231, 245, 831, 1641, 1475, 51,
    2683, 12489, 1, 1, 5, 5, 17, 5, 61, 167, 389, 149, 43, 825, 6079, 12955,
    20121, 1, 1, 5, 7, 15, 43, 63, 83, 187, 1005, 1675, 2907, 2357, 5459, 18621,
    1, 1, 5, 13, 27, 53, 49, 93, 9, 629, 1507, 357, 3207, 9209, 13697, 1,
    3, 5, 3, 19, 49, 65, 31, 359, 13, 617, 815, 4673, 2475, 27491, 1, 3,
    3, 13, 21, 39, 79, 107, 485, 905, 51, 987, 6579, 3899, 28785, 1, 1, 1,
    11, 7, 11, 111, 223, 249, 767, 141, 691, 4711, 583, 7917, 1, 1, 5, 1,
    9, 43, 115, 179, 313, 783, 2047, 1773, 2307, 5011, 7215, 1, 3, 3, 5, 23,
    23, 85, 193, 83, 809, 1827, 3375, 5177, 2041, 19271, 1, 1, 1, 9, 23, 17,
    31, 111, 75, 265, 1171, 219, 6309, 2263, 3807, 1, 1, 5, 1, 27, 7, 65,
    117, 291, 811, 1797, 3395, 3495, 829, 23911, 1, 1, 3, 11, 19, 31, 43, 229,
    361, 219, 1029, 1407, 5855, 12411, 16117, 1, 3, 3, 3, 5, 1, 99, 245, 21,
    925, 1807, 2529, 627, 3363, 853, 1, 1, 3, 15, 17, 41, 83, 31, 207, 615,
    851, 1631, 6789, 12061, 12327, 1, 1, 7, 15, 27, 19, 75, 3, 51, 655, 73,
    2433, 7973, 1425, 31309, 1, 3, 1, 7, 25, 47, 73, 119, 91, 981, 1671, 2145,
    3101, 3765, 8719, 1, 1, 1, 7, 31, 37, 51, 181, 289, 273, 1889, 1017, 2793,
    9513, 32549, 1, 1, 3, 5, 5, 39, 57, 51, 135, 689, 1913, 709, 4759, 12223,
    17377, 1, 3, 3, 15, 31, 9, 57, 245, 159, 97, 1485, 2229, 1393, 9699, 5807,
    1, 1, 3, 9, 11, 3, 11, 169, 81, 667, 357, 2307, 7305, 8631, 2555, 1,
    3, 7, 7, 15, 17, 119, 143, 15, 567, 1879, 1363, 1617, 8231, 23071, 1, 1,
    5, 9, 5, 39, 49, 45, 371, 641, 943, 1231, 8139, 14423, 11057, 1, 1, 5,
    1, 27, 51, 25, 111, 205, 655, 317, 1381, 2359, 8785, 31503, 1, 3, 3, 3,
    9, 13, 127, 211, 423, 147, 735, 1323, 5801, 9291, 10059, 1, 3, 3, 13, 19,
    1, 11, 85, 343, 781, 1661, 1803, 4541, 2271, 20541, 1, 1, 5, 9, 11, 15,
    77, 63, 345, 71, 1311, 3809, 7535, 1269, 13949, 1, 3, 7, 7, 19, 27, 3,
    107, 439, 195, 2007, 4009, 305, 3111, 17775, 1, 1, 3, 7, 27, 31, 25, 123,
    177, 161, 287, 3389, 3013, 11427, 9165, 1, 1, 3, 7, 27, 15, 83, 131, 201,
    277, 267, 3557, 1337, 4427, 2389, 1, 1, 5, 7, 25, 27, 75, 211, 147, 37,
    491, 3467, 4525, 13073, 15289, 1, 3, 5, 9, 13, 37, 117, 159, 145, 453, 1451,
    667, 1861, 6855, 25389, 1, 1, 5, 7, 19, 37, 3, 157, 251, 901, 433, 3289,
    2723, 11941, 10103, 1, 3, 7, 3, 31, 51, 125, 211, 317, 775, 801, 3887, 2257,
    13947, 2421, 1, 3, 3, 13, 11, 21, 67, 223, 203, 409, 1927, 3565, 679, 14197,
    24987, 1, 3, 1, 1, 23, 29, 37, 203, 311, 825, 1957, 3069, 5295, 4073, 4407,
    1, 3, 1, 15, 1, 49, 111, 205, 441, 907, 481, 225, 6589, 7523, 19807, 1,
    3, 5, 15, 1, 55, 43, 121, 9, 239, 723, 3109, 5639, 9547, 20455, 1, 1,
    1, 15, 29, 17, 121, 61, 233, 873, 1447, 1313, 5073, 12259, 32305, 1, 1, 5,
    7, 25, 57, 15, 45, 243, 297, 219, 2307, 1459, 16005, 10041, 1, 3, 7, 3,
    5, 53, 57, 187, 287, 243, 1223, 1625, 669, 5165, 8395, 1, 3, 7, 15, 23,
    23, 25, 225, 471, 661, 905, 2293, 1131, 8469, 7929, 1, 1, 5, 11, 11, 33,
    11, 129, 237, 855, 1417, 3661, 1561, 9635, 31905, 1, 3, 1, 3, 15, 45, 3,
    253, 125, 449, 1675, 1707, 3917, 11829, 27439, 1, 3, 7, 1, 1, 55, 83, 69,
    83, 745, 1225, 977, 7117, 15045, 28067, 1, 1, 7, 9, 3, 51, 23, 205, 5,
    625, 531, 3557, 4101, 5709, 29487, 1, 1, 1, 5, 9, 23, 69, 99, 203, 355,
    1935, 3165, 5701, 15491, 18151, 1, 1, 1, 7, 31, 41, 89, 85, 273, 227, 785,
    1057, 4409, 9155, 11573, 1, 3, 7, 15, 17, 49, 117, 31, 181, 799, 417, 3931,
    6069, 1253, 25793, 1, 1, 3, 7, 27, 23, 33, 189, 5, 841, 901, 2023, 331,
    10015, 3781, 1, 3, 3, 5, 19, 47, 73, 103, 373, 1011, 1015, 1657, 6181, 69,
    16243, 1, 1, 7, 9, 13, 9, 95, 161, 413, 155, 367, 3519, 1557, 14897, 31331,
    1, 1, 7, 3, 15, 25, 105, 145, 157, 525, 1541, 3361, 1531, 7473, 28187, 1,
    1, 7, 7, 15, 7, 119, 135, 395, 441, 1443, 537, 5185, 793, 13205, 1, 1,
    1, 9, 15, 7, 101, 43, 437, 761, 1471, 3843, 6765, 4135, 7883, 1, 1, 5,
    5, 23, 31, 125, 119, 361, 65, 1907, 1335, 1309, 10591, 11167, 1, 3, 1, 7,
    21, 9, 29, 149, 371, 201, 1531, 2955, 1755, 14047, 5867, 1, 1, 5, 1, 19,
    9, 13, 13, 313, 621, 595, 2765, 2963, 13081, 21795, 1, 1, 3, 11, 21, 61,
    7, 113, 295, 995, 1649, 1715, 4737, 4769, 13945, 1, 3, 5, 15, 17, 53, 73,
    15, 83, 813, 1757, 471, 6031, 7871, 32569, 1, 3, 1, 13, 29, 55, 45, 173,
    231, 167, 415, 1487, 6403, 13823, 10121, 1, 1, 1, 5, 19, 25, 107, 177, 97,
    703, 1349, 2217, 3863, 11211, 28875, 1, 3, 7, 9, 1, 9, 37, 127, 435, 917,
    709, 2227, 7449, 13927, 1187, 1, 1, 3, 15, 19, 17, 19, 127, 343, 235, 931,
    589, 6439, 8839, 18027, 1, 3, 5, 7, 25, 25, 71, 141, 343, 35, 15, 1439,
    3163, 8063, 15337, 1, 3, 3, 13, 27, 31, 91, 215, 67, 835, 673, 3355, 7633,
    11711, 31479, 1, 3, 5, 3, 5, 9, 35, 23, 415, 341, 1813, 3761, 5053, 9497,
    10147, 1, 1, 3, 5, 25, 59, 107, 57, 43, 955, 1049, 2613, 7003, 5749, 28211,
    1, 3, 5, 5, 5, 61, 25, 17, 41, 477, 131, 3331, 1193, 14291, 1467, 1,
    3, 3, 3, 5, 7, 37, 41, 215, 723, 1735, 3735, 3981, 13405, 5837, 1, 3,
    1, 7, 17, 9, 21, 51, 451, 691, 1853, 779, 635, 15461, 14789, 1, 1, 7,
    13, 9, 51, 21, 183, 33, 565, 529, 393, 6847, 10149, 23807, 1, 3, 1, 15,
    9, 27, 1, 245, 459, 935, 1219, 2277, 6309, 13511, 31255, 1, 1, 3, 3, 21,
    63, 121, 95, 5, 545, 995, 1011, 2073, 6145, 4635, 1, 1, 3, 15, 11, 1,
    61, 53, 445, 33, 153, 2179, 2899, 7633, 20417, 1, 1, 5, 3, 29, 47, 65,
    55, 509, 175, 1875, 2669, 4583, 775, 27621, 1, 3, 1, 1, 5, 21, 43, 37,
    349, 89, 1581, 2105, 6753, 14577, 14339, 1, 1, 1, 11, 21, 17, 55, 11, 87,
    323, 647, 955, 1343, 10799, 15375, 1, 3, 7, 13, 11, 43, 23, 25, 327, 797,
    1111, 231, 4423, 5907, 16191, 1, 3, 5, 15, 1, 15, 109, 43, 217, 905, 1295,
    2373, 497, 11643, 14371, 1, 1, 3, 5, 3, 43, 125, 249, 343, 947, 1523, 2393,
    3073, 11301, 18751, 1, 3, 1, 13, 31, 27, 23, 241, 103, 503, 1715, 877, 5269,
    10665, 23927, 1, 3, 1, 9, 21, 1, 91, 55, 297, 941, 1419, 3391, 811, 8399,
    8513, 1, 1, 5, 1, 7, 3, 17, 139, 461, 1007, 1835, 165, 1575, 15075, 18673,
    1, 3, 7, 11, 21, 63, 11, 123, 229, 767, 201, 3415, 4997, 14791, 27193, 1,
    3, 3, 9, 5, 13, 71, 163, 499, 933, 1829, 2321, 1773, 5255, 18219, 1, 1,
    5, 15, 15, 5, 47, 81, 167, 27, 773, 3607, 25, 12437, 11525, 1, 3, 3,
    11, 3, 21, 41, 1, 441, 1013, 1409, 3097, 5671, 3953, 51, 1, 1, 3, 15,
    15, 13, 93, 111, 355, 207, 1653, 2711, 81, 7801, 14105, 1, 1, 5, 9, 15,
    57, 47, 53, 79, 255, 517, 4015, 8123, 5557, 4245, 1, 3, 1, 9, 25, 45,
    97, 107, 107, 365, 1647, 3831, 5567, 167, 26977, 1, 1, 1, 7, 31, 21, 79,
    155, 391, 347, 1295, 255, 6439, 8201, 31975, 1, 1, 1, 13, 19, 57, 9, 167,
    359, 833, 709, 3437, 5031, 16221, 18491, 1, 3, 3, 11, 17, 37, 39, 167, 271,
    801, 601, 461, 3949, 5237, 3425, 1, 3, 3, 13, 29, 47, 51, 161, 427, 421,
    671, 2545, 4793, 10083, 3499, 1, 3, 5, 7, 27, 25, 59, 75, 431, 891, 1557,
    3615, 4759, 11267, 8473, 1, 3, 1, 7, 7, 31, 63, 89, 353, 761, 1333, 1367,
    5963, 12311, 20717, 1, 3, 3, 1, 27, 19, 93, 209, 291, 119, 513, 3757, 3477,
    2541, 4919, 1, 3, 7, 1, 15, 9, 109, 41, 401, 365, 907, 3603, 6401, 12115,
    28691, 1, 1, 5, 9, 3, 21, 121, 27, 355, 571, 133, 1073, 4875, 13351, 13197,
    1, 3, 1, 3, 1, 31, 35, 171, 201, 617, 1181, 3621, 823, 8599, 4407, 1,
    3, 3, 3, 31, 61, 45, 19, 191, 843, 909, 391, 5899, 14059, 7879, 1, 1,
    7, 9, 19, 51, 123, 201, 163, 737, 153, 161, 7949, 2865, 17357, 1, 3, 7,
    11, 23, 51, 121, 165, 459, 959, 647, 535, 7903, 2935, 24895, 1, 3, 5, 3,
    1, 63, 73, 179, 485, 661, 255, 1423, 7277, 2109, 25113, 1, 3, 5, 11, 27,
    51, 79, 151, 389, 251, 277, 1785, 4073, 1729, 22705, 1, 3, 3, 11, 23, 15,
    105, 205, 413, 253, 1181, 2605, 6181, 1771, 17869, 1, 3, 7, 13, 29, 45, 95,
    37, 319, 609, 369, 3311, 5717, 7219, 25157, 1, 1, 7, 15, 23, 3, 61, 125,
    429, 29, 479, 1151, 4479, 8909, 9763, 1, 3, 1, 13, 25, 21, 11, 147, 61,
    903, 1719, 3065, 7089, 15041, 6387, 1, 1, 5, 11, 17, 33, 43, 1, 271, 223,
    363, 2799, 1043, 3929, 25991, 1, 1, 7, 11, 3, 15, 115, 245, 383, 881, 221,
    2045, 621, 14543, 1027, 1, 3, 1, 7, 1, 45, 19, 133, 339, 883, 1643, 853,
    7141, 6259, 6373, 1, 1, 3, 11, 27, 23, 123, 159, 185, 693, 577, 473, 313,
    13579, 19317, 1, 3, 3, 15, 27, 19, 43, 23, 183, 925, 1987, 1945, 6341, 10771,
    9669, 1, 1, 1, 3, 15, 27, 49, 117, 347, 149, 23, 103, 3613, 3123, 32759,
    1, 3, 7, 13, 1, 37, 13, 111, 407, 319, 563, 1499, 6551, 13333, 659, 1,
    3, 3, 3, 23, 21, 9, 109, 393, 115, 415, 351, 6113, 2417, 14151, 1, 3,
    5, 7, 25, 7, 35, 41, 43, 663, 1809, 535, 7437, 12487, 1059, 1, 3, 3,
    11, 13, 13, 123, 111, 391, 199, 69, 2357, 4779, 7461, 5003, 1, 1, 1, 13,
    17, 63, 5, 163, 107, 609, 1979, 3389, 499, 13111, 219, 1, 3, 7, 1, 19,
    41, 43, 29, 35, 371, 1773, 3563, 2005, 8217, 5131, 1, 3, 7, 15, 13, 53,
    43, 167, 201, 259, 1855, 3971, 1179, 8591, 21425, 1, 1, 1, 11, 27, 21, 45,
    47, 185, 753, 531, 2553, 5515, 11501, 4623, 1, 1, 7, 9, 9, 49, 29, 207,
    441, 265, 1059, 1703, 1625, 9371, 23045, 1, 3, 5, 9, 13, 29, 33, 185, 233,
    11, 381, 3917, 4931, 3497, 24713, 1, 3, 1, 11, 13, 61, 43, 147, 505, 251,
    1875, 3009, 4695, 6793, 3083, 1, 3, 3, 3, 31, 17, 119, 35, 111, 767, 211,
    3227, 2539, 10755, 26177, 1, 3, 1, 7, 9, 63, 3, 45, 195, 515, 103, 2327,
    5967, 8087, 9849, 1, 3, 7, 13, 31, 51, 55, 231, 451, 259, 1025, 2671, 5317,
    7087, 7365, 1, 3, 5, 3, 5, 41, 33, 255, 305, 831, 1279, 4013, 3899, 171,
    8543, 1, 1, 5, 9, 7, 9, 97, 125, 123, 3, 121, 4041, 3941, 1655, 25583,
    1, 1, 3, 3, 9, 63, 99, 53, 85, 57, 1117, 969, 7067, 1393, 17497, 1,
    1, 3, 7, 9, 51, 1, 207, 443, 967, 1387, 2515, 1789, 1493, 20941, 1, 1,
    5, 9, 15, 37, 11, 191, 503, 823, 1789, 4071, 3355, 9177, 27281, 1, 3, 7,
    5, 3, 61, 83, 19, 325, 543, 19, 239, 3513, 16147, 32395, 1, 3, 5, 7,
    1, 17, 101, 23, 379, 649, 853, 3045, 1301, 7215, 18851, 1, 3, 5, 13, 25,
    11, 41, 213, 137, 705, 1829, 1055, 3061, 9335, 5797, 1, 3, 1, 13, 11, 21,
    17, 117, 473, 687, 125, 4007, 5283, 11961, 15365, 1, 3, 1, 13, 11, 19, 3,
    189, 393, 219, 1229, 1521, 7137, 1811, 6745, 1, 1, 7, 9, 21, 59, 23, 193,
    321, 691, 735, 3731, 593, 9351, 6571, 1, 3, 5, 5, 23, 55, 43, 107, 217,
    111, 921, 1017, 7055, 16059, 8181, 1, 3, 3, 3, 29, 57, 93, 91, 9, 453,
    1245, 691, 1571, 5755, 13387, 1, 1, 3, 1, 1, 23, 87, 239, 373, 433, 553,
    2205, 4495, 3975, 25819, 1, 1, 3, 1, 23, 7, 9, 227, 503, 87, 819, 3167,
    4135, 9281, 8443, 1, 1, 3, 5, 7, 27, 17, 81, 295, 131, 955, 4065, 797,
    16165, 2385, 1, 3, 3, 1, 9, 47, 113, 105, 277, 187, 1983, 2833, 2749, 4473,
    31275, 1, 3, 3, 3, 19, 61, 41, 51, 435, 933, 961, 459, 4187, 6619, 777,
    1, 3, 3, 9, 11, 25, 51, 219, 203, 897, 777, 3047, 2601, 4387, 14185, 1,
    3, 7, 15, 23, 17, 103, 55, 387, 127, 197, 1045, 3973, 10503, 23443, 1, 1,
    5, 9, 13, 59, 87, 253, 7, 879, 1335, 1349, 6353, 5897, 10021, 1, 1, 3,
    5, 19, 49, 107, 65, 229, 317, 169, 509, 1819, 2267, 13269, 1, 3, 5, 13,
    21, 25, 11, 143, 511, 107, 637, 3237, 3985, 15197, 23343, 1, 1, 5, 15, 1,
    15, 67, 91, 131, 501, 1803, 699, 2031, 11015, 17989, 1, 1, 7, 13, 3, 55,
    103, 245, 229, 121, 245, 1299, 3357, 3283, 26181, 1, 1, 7, 1, 19, 53, 101,
    125, 35, 963, 887, 3119, 1407, 723, 29169, 1, 3, 7, 3, 27, 39, 29, 71,
    7, 529, 329, 2811, 4627, 2865, 26837, 1, 3, 5, 7, 29, 55, 71, 129, 455,
    465, 1949, 3895, 6971, 15621, 26819, 1, 1, 3, 15, 5, 63, 95, 15, 425, 347,
    835, 1973, 5171, 3963, 23691, 1, 3, 1, 9, 27, 23, 87, 237, 261, 349, 1777,
    287, 3543, 35, 31891, 1, 1, 7, 7, 17, 59, 7, 65, 45, 733, 239, 221,
    6419, 9161, 17499, 1, 3, 3, 15, 7, 53, 121, 97, 127, 583, 501, 1667, 6265,
    3233, 19187, 1, 1, 3, 1, 29, 17, 121, 89, 107, 787, 1699, 3389, 6191, 11503,
    2461, 1, 1, 1, 9, 13, 27, 97, 49, 447, 851, 147, 439, 277, 11129, 2201,
    1, 3, 3, 11, 29, 47, 93, 243, 101, 627, 1607, 459, 27, 10635, 1345, 1,
    1, 7, 3, 19, 11, 61, 253, 345, 523, 317, 1599, 5625, 14385, 3461, 1, 1,
    5, 13, 27, 59, 33, 251, 29, 787, 1655, 3383, 2451, 2499, 10719, 1, 3, 7,
    7, 1, 29, 97, 233, 193, 459, 1667, 47, 3059, 8713, 13259, 1, 1, 3, 9,
    29, 63, 127, 35, 105, 95, 887, 2337, 5999, 13553, 30225, 1, 1, 7, 7, 17,
    43, 47, 205, 497, 835, 1565, 3863, 785, 6149, 17595, 1, 1, 1, 13, 29, 17,
    47, 37, 339, 131, 1219, 3545, 3499, 2223, 3107, 1, 1, 1, 15, 7, 17, 39,
    25, 97, 691, 1645, 3333, 95, 15593, 11667, 1, 3, 5, 7, 13, 21, 61, 147,
    115, 249, 981, 665, 1245, 14397, 9571, 1, 1, 3, 13, 15, 5, 7, 129, 151,
    947, 375, 1631, 3247, 1321, 19495, 1, 1, 5, 11, 5, 5, 69, 247, 53, 37,
    683, 1581, 2997, 5897, 4797, 1, 1, 5, 15, 5, 45, 115, 65, 509, 557, 1749,
    2167, 4795, 629, 10749, 1, 1, 3, 1, 25, 23, 99, 93, 99, 721, 1235, 1259,
    2739, 11797, 15985, 1, 3, 5, 11, 15, 29, 97, 103, 21, 981, 1717, 1483, 711,
    12419, 14401, 1, 3, 1, 1, 5, 5, 125, 159, 301, 733, 1987, 1679, 7459, 3493,
    29377, 1, 1, 7, 7, 29, 45, 53, 197, 303, 303, 931, 1171, 1771, 14895, 21525,
    1, 3, 7, 13, 11, 59, 93, 113, 219, 557, 397, 2639, 5089, 6833, 20455, 1,
    3, 1, 3, 11, 33, 117, 163, 359, 431, 915, 3285, 2443, 8225, 16341, 1, 3,
    1, 9, 19, 1, 105, 65, 3, 71, 705, 2047, 2169, 13129, 8575, 1, 1, 1,
    9, 23, 63, 67, 203, 429, 897, 1453, 101, 1445, 8553, 16355, 1, 1, 7, 5,
    13, 61, 79, 217, 83, 339, 529, 3573, 4075, 5929, 2687, 1, 1, 7, 11, 27,
    9, 93, 105, 179, 479, 1093, 3551, 5697, 8989, 1099, 1, 1, 1, 11, 15, 9,
    21, 59, 193, 231, 1817, 463, 1945, 13795, 28655, 1, 1, 1, 5, 3, 27, 49,
    179, 205, 49, 355, 667, 6573, 4317, 26599, 1, 3, 7, 5, 9, 45, 121, 219,
    309, 371, 1119, 1991, 5889, 14257, 1105, 1, 1, 3, 3, 7, 19, 111, 191, 321,
    77, 39, 1921, 563, 1049, 26623, 1, 3, 3, 13, 13, 43, 21, 121, 181, 185,
    629, 211, 7897, 9445, 12679, 1, 1, 7, 15, 3, 19, 61, 159, 337, 711, 155,
    2099, 2201, 14337, 21633, 1, 1, 3, 9, 27, 63, 43, 209, 17, 565, 225, 2381,
    4577, 15793, 4861, 1, 3, 7, 3, 25, 51, 65, 187, 235, 479, 293, 789, 2453,
    4367, 15835, 1, 1, 5, 11, 17, 7, 115, 165, 3, 457, 455, 969, 5859, 2663,
    15337, 1, 3, 1, 13, 19, 1, 55, 177, 365, 395, 1043, 1095, 6531, 8599, 12867,
    1, 3, 7, 1, 29, 57, 55, 139, 187, 649, 1899, 355, 6447, 4521, 31497, 1,
    3, 5, 1, 19, 55, 73, 163, 127, 893, 1189, 2425, 5145, 15965, 5937, 1, 3,
    1, 1, 21, 33, 91, 81, 75, 39, 1, 397, 2799, 11987, 27829, 1, 3, 7,
    5, 25, 15, 95, 61, 351, 377, 1949, 3141, 6259, 135, 19307, 1, 3, 3, 7,
    7, 45, 1, 197, 235, 747, 1333, 3293, 1439, 7447, 26119, 1, 3, 3, 3, 25,
    31, 113, 159, 335, 587, 733, 1045, 5015, 9677, 21777, 1, 1, 5, 3, 15, 55,
    91, 181, 465, 409, 995, 3243, 6165, 1547, 31785, 1, 3, 7, 3, 7, 47, 27,
    87, 399, 265, 945, 1675, 5383, 4847, 27859, 1, 1, 7, 3, 21, 53, 69, 107,
    121, 855, 629, 1947, 8149, 10707, 2981, 1, 3, 1, 11, 3, 25, 53, 87, 349,
    237, 1745, 3705, 4273, 4109, 26059, 1, 1, 5, 11, 25, 19, 11, 179, 301, 27,
    1343, 79, 2475, 5581, 27225, 1, 3, 7, 9, 29, 55, 119, 107, 431, 943, 1567,
    3727, 7415, 2565, 24957, 1, 3, 3, 1, 15, 27, 91, 159, 285, 781, 357, 643,
    7445, 9931, 11881, 1, 3, 7, 9, 5, 53, 65, 195, 273, 37, 1785, 467, 5211,
    25, 1749, 1, 1, 1, 11, 7, 11, 43, 143, 305, 825, 1055, 2995, 3907, 7581,
    9679, 1, 3, 1, 9, 31, 29, 93, 3, 299, 1, 1851, 395, 239, 8323, 18201,
    1, 1, 1, 5, 29, 29, 75, 3, 273, 759, 801, 2841, 5789, 6651, 19351, 1,
    3, 7, 1, 1, 11, 11, 215, 27, 955, 1397, 3483, 1317, 223, 20559, 1, 3,
    5, 13, 21, 23, 39, 189, 295, 255, 1457, 2821, 3145, 15437, 26997, 1, 1, 3,
    5, 9, 43, 13, 97, 259, 23, 933, 3867, 5921, 4199, 24721, 1, 1, 3, 11,
    1, 19, 89, 87, 17, 247, 1535, 2629, 2893, 12209, 23739, 1, 1, 1, 1, 31,
    15, 81, 37, 235, 249, 1437, 1485, 5889, 10017, 18593, 1, 3, 7, 5, 17, 33,
    117, 5, 31, 63, 2015, 3063, 5139, 14771, 29107, 1, 1, 7, 15, 13, 3, 25,
    127, 419, 945, 1739, 175, 1591, 4443, 27289, 1, 1, 1, 7, 11, 59, 99, 119,
    307, 857, 1711, 1201, 1623, 11429, 5663, 1, 3, 1, 13, 17, 45, 65, 225, 131,
    279, 587, 3487, 1123, 2753, 30789, 1, 3, 3, 15, 21, 55, 17, 141, 109, 1021,
    1387, 1407, 8163, 1983, 25971, 1, 3, 3, 9, 21, 51, 103, 243, 435, 481, 857,
    3353, 2717, 2295, 7999, 1, 1, 1, 7, 7, 27, 83, 45, 359, 191, 259, 3229,
    7869, 10729, 28587, 1, 3, 7, 5, 19, 25, 51, 103, 37, 429, 995, 415, 2879,
    2283, 29981, 1, 1, 3, 3, 21, 19, 29, 35, 401, 19, 1761, 3735, 7775, 3365,
    31767, 1, 1, 7, 1, 29, 1, 9, 195, 279, 1003, 999, 4043, 3761, 11341, 7117,
    1, 1, 5, 11, 19, 7, 97, 181, 37, 929, 667, 993, 2517, 12683, 24487, 1,
    1, 3, 1, 31, 15, 47, 143, 511, 525, 1799, 1743, 3237, 12839, 2287, 1, 3,
    3, 15, 31, 59, 59, 205, 99, 233, 1857, 2469, 2661, 3675, 391, 1, 3, 5,
    15, 31, 23, 23, 1, 313, 401, 605, 3771, 2703, 6037, 7943, 1, 1, 3, 13,
    21, 19, 55, 139, 273, 725, 1239, 595, 549, 15279, 20887, 1, 1, 5, 3, 13,
    9, 39, 83, 257, 323, 1801, 167, 3747, 2867, 30151, 1, 3, 3, 3, 17, 3,
    67, 163, 325, 569, 1099, 4037, 5003, 6985, 7445, 1, 3, 7, 13, 31, 37, 13,
    91, 21, 763, 785, 1461, 5257, 15307, 16389, 1, 3, 5, 13, 1, 35, 27, 179,
    429, 21, 865, 775, 4993, 335, 12479, 1, 3, 1, 1, 19, 1, 111, 201, 219,
    709, 1539, 1905, 647, 8605, 14129, 1, 3, 5, 7, 21, 7, 117, 251, 311, 689,
    1125, 1931, 6363, 7409, 4189, 1, 1, 3, 7, 1, 27, 93, 5, 395, 117, 113,
    1297, 501, 13073, 30483, 1, 1, 3, 11, 19, 57, 65, 67, 13, 893, 551, 539,
    2861, 10635, 16057, 1, 3, 3, 11, 19, 5, 41, 43, 161, 1015, 33, 471, 229,
    13315, 10791, 1, 3, 1, 7, 1, 13, 97, 149, 321, 131, 1389, 715, 5421, 343,
    4129, 1, 1, 3, 11, 15, 51, 91, 57, 229, 1007, 709, 2745, 147, 10427, 21151,
    1, 3, 7, 15, 1, 31, 65, 251, 75, 553, 133, 1027, 4857, 7139, 10591, 1,
    3, 5, 15, 13, 11, 49, 183, 263, 121, 981, 1421, 7781, 5313, 3245, 1, 3,
    5, 15, 31, 27, 109, 85, 327, 999, 1063, 705, 6047, 13227, 5817, 1, 1, 5,
    15, 9, 5, 99, 69, 91, 637, 1353, 2471, 7003, 9429, 25235, 1, 3, 3, 11,
    1, 25, 77, 67, 173, 929, 1919, 4021, 5587, 3333, 12769, 1, 1, 5, 15, 15,
    9, 11, 71, 465, 831, 1127, 3439, 6793, 1269, 1699, 1, 3, 1, 1, 17, 43,
    45, 181, 147, 501, 283, 3875, 7221, 14487, 2549, 1, 3, 7, 11, 1, 21, 125,
    179, 479, 367, 1961, 607, 255, 913, 16143, 1, 3, 3, 15, 7, 49, 117, 97,
    45, 729, 1331, 1373, 2147, 11673, 9779, 1, 3, 5, 11, 1, 11, 105, 231, 237,
    449, 1195, 33, 4531, 11591, 29539, 1, 3, 3, 3, 27, 47, 105, 85, 25, 663,
    47, 3213, 6777, 11947, 28993, 1, 1, 5, 15, 11, 57, 121, 107, 327, 631, 285,
    921, 3721, 7983, 9199, 1, 1, 1, 13, 3, 61, 49, 101, 415, 187, 1645, 2139,
    143, 12033, 11409, 1, 1, 5, 13, 7, 15, 27, 143, 17, 977, 495, 2479, 1507,
    10621, 2119, 1, 1, 5, 13, 11, 9, 53, 159, 479, 333, 1423, 2559, 5497, 12611,
    22627, 1, 1, 5, 9, 7, 55, 3, 137, 421, 661, 113, 925, 1649, 12405, 30035,
    1, 3, 1, 13, 9, 31, 25, 233, 241, 239, 505, 2685, 223, 4389, 28191, 1,
    1, 3, 3, 23, 59, 5, 181, 491, 111, 1289, 3717, 4429, 15091, 25375, 1, 3,
    1, 3, 25, 3, 3, 7, 163, 247, 1673, 3061, 2355, 12779, 20039, 1, 1, 1,
    5, 3, 35, 5, 107, 387, 99, 1841, 3607, 2027, 6353, 15929, 1, 1, 7, 7,
    29, 45, 43, 207, 383, 681, 769, 3939, 8161, 10235, 24209, 1, 3, 1, 5, 5,
    13, 73, 99, 233, 327, 1429, 487, 3925, 5169, 5477, 1, 1, 1, 5, 21, 63,
    39, 17, 227, 455, 1559, 113, 3993, 7935, 8995, 1, 1, 3, 11, 17, 51, 43,
    231, 69, 475, 761, 4011, 4007, 14829, 29961, 1, 3, 1, 5, 19, 37, 49, 197,
    277, 391, 583, 2711, 4041, 6029, 29559, 1, 3, 3, 1, 7, 53, 33, 33, 325,
    171, 63, 2929, 641, 7143, 12585, 1, 1, 1, 9, 1, 31, 23, 157, 437, 355,
    595, 239, 1275, 4917, 31055, 1, 3, 7, 15, 15, 43, 39, 51, 431, 131, 741,
    3473, 1947, 4223, 27943, 1, 1, 7, 1, 27, 49, 5, 197, 33, 611, 1131, 429,
    4931, 1243, 5787, 1, 1, 7, 9, 29, 19, 89, 139, 239, 421, 951, 3749, 1557,
    3803, 7155, 1, 1, 7, 13, 15, 53, 121, 123, 99, 677, 1519, 3051, 5235, 8061,
    21353, 1, 1, 3, 7, 21, 53, 65, 35, 389, 141, 253, 2867, 803, 11525, 9901,
    1, 1, 7, 7, 21, 37, 81, 53, 121, 15, 1741, 2225, 183, 7155, 7597, 1,
    1, 7, 15, 29, 29, 13, 197, 291, 765, 1479, 2211, 5949, 5045, 32519, 1, 3,
    3, 5, 5, 19, 121, 219, 121, 17, 1223, 2685, 8179, 391, 31257, 1, 1, 5,
    7, 13, 27, 29, 71, 7, 95, 255, 9, 2375, 3325, 29915, 1, 3, 3, 1,
    1, 3, 11, 43, 233, 663, 715, 585, 3701, 13559, 3197, 1, 1, 7, 5, 17,
    45, 103, 209, 61, 923, 517, 249, 5775, 14537, 15371, 1, 1, 5, 1, 7, 5,
    123, 99, 137, 277, 1071, 3371, 7095, 2765, 28945, 1, 1, 3, 15, 1, 59, 85,
    5, 475, 855, 1793, 2479, 4989, 7155, 6403, 1, 1, 5, 5, 3, 29, 41, 129,
    373, 839, 1031, 2845, 6911, 4793, 25609, 1, 1, 3, 5, 23, 55, 79, 209, 131,
    893, 1933, 1391, 6873, 407, 28823, 1, 1, 3, 15, 15, 57, 37, 153, 415, 947,
    1959, 1513, 7961, 4931, 749, 1, 1, 3, 3, 21, 5, 27, 169, 349, 541, 533,
    3411, 945, 5275, 665, 1, 1, 7, 15, 15, 17, 97, 225, 85, 887, 1251, 1485,
    3987, 10753, 18013, 1, 3, 1, 15, 19, 53, 117, 153, 279, 397, 1929, 3621, 3887,
    7753, 22075, 1, 3, 1, 5, 7, 21, 97, 63, 403, 715, 579, 1645, 2069, 9279,
    14291, 1, 1, 1, 3, 21, 17, 63, 61, 207, 795, 737, 4047, 3559, 6971, 14903,
    1, 3, 7, 5, 29, 1, 103, 109, 57, 485, 1373, 3399, 6351, 13037, 17193, 1,
    1, 7, 7, 5, 15, 105, 225, 215, 53, 1125, 3255, 3277, 2125, 23359, 1, 3,
    1, 7, 31, 39, 19, 163, 197, 831, 1959, 1227, 6515, 8839, 20105, 1, 3, 3,
    1, 27, 31, 89, 133, 451, 371, 1513, 1595, 771, 7637, 32403, 1, 3, 3, 13,
    29, 45, 29, 157, 117, 461, 913, 3907, 4225, 5617, 28917, 1, 3, 7, 3, 13,
    63, 113, 49, 137, 641, 275, 1179, 8139, 519, 5851, 1, 1, 1, 1, 31, 43,
    61, 193, 173, 651, 1491, 1005, 7559, 1963, 8323, 1, 3, 5, 5, 23, 23, 11,
    111, 95, 487, 1091, 175, 25, 10557, 24493, 1, 1, 1, 9, 1, 31, 97, 175,
    249, 309, 1005, 3777, 5551, 2605, 28071, 1, 3, 3, 7, 13, 1, 113, 103, 169,
    853, 35, 3645, 6907, 13713, 12811, 1, 1, 7, 3, 25, 49, 53, 23, 33, 967,
    2039, 2057, 799, 1527, 3427, 1, 1, 5, 7, 29, 43, 81, 155, 59, 201, 1571,
    1719, 3343, 3231, 27929, 1, 1, 5, 1, 27, 17, 1, 159, 209, 749, 1883, 1885,
    2511, 15957, 3471, 1, 3, 1, 5, 7, 51, 15, 245, 57, 627, 1315, 673, 5329,
    1043, 555, 1, 1, 5, 11, 13, 55, 103, 157, 329, 171, 393, 3967, 373, 7225,
    25133, 1, 1, 5, 7, 5, 51, 109, 11, 111, 859, 165, 3991, 7187, 697, 28035,
    1, 3, 1, 9, 23, 55, 59, 173, 55, 105, 1103, 1569, 3099, 10483, 18821, 1,
    3, 7, 5, 21, 3, 23, 247, 13, 59, 1327, 2393, 5023, 11163, 21443, 1, 3,
    3, 15, 19, 47, 79, 45, 127, 313, 1609, 273, 4729, 7363, 13541, 1, 3, 7,
    15, 21, 61, 91, 247, 477, 539, 1969, 3541, 3983, 8339, 32499, 1, 3, 7, 11,
    13, 7, 47, 57, 299, 907, 701, 2039, 5509, 7489, 30175, 1, 3, 7, 7, 9,
    21, 125, 241, 69, 405, 1989, 3777, 613, 9827, 19447, 1, 3, 7, 3, 19, 39,
    19, 43, 1, 1007, 1829, 3099, 4001, 2181, 5849, 1, 1, 7, 1, 9, 49, 21,
    103, 107, 473, 1913, 2983, 5669, 977, 21281, 1, 3, 5, 3, 3, 37, 79, 239,
    425, 949, 1953, 3867, 2537, 16117, 945, 1, 3, 5, 13, 23, 7, 119, 221, 321,
    881, 1505, 3993, 3677, 4095, 10501, 1, 1, 1, 3, 7, 17, 5, 223, 3, 891,
    1699, 823, 3839, 4113, 16039, 1, 1, 7, 5, 27, 35, 67, 89, 291, 521, 411,
    3025, 1427, 12131, 4449, 1, 1, 3, 7, 13, 61, 103, 113, 195, 269, 75, 3879,
    7669, 9403, 13341, 1, 3, 7, 13, 21, 17, 101, 135, 153, 615, 755, 2589, 653,
    11187, 2997, 1, 3, 1, 9, 11, 53, 61, 171, 423, 857, 465, 819, 4341, 6377,
    21305, 1, 3, 5, 3, 17, 37, 63, 91, 157, 877, 1801, 587, 6183, 12923, 15991,
    1, 3, 7, 5, 27, 63, 123, 27, 243, 375, 191, 3333, 965, 889, 15771, 1,
    3, 7, 15, 23, 51, 49, 187, 201, 861, 1581, 1045, 493, 9939, 30893, 1, 3,
    3, 15, 1, 31, 93, 125, 57, 147, 663, 2733, 4601, 16043, 6875, 1, 3, 7,
    11, 15, 1, 45, 251, 173, 807, 1301, 507, 645, 10383, 14737, 1, 3, 7, 7,
    27, 3, 3, 127, 153, 151, 1987, 2255, 5201, 11095, 20757, 1, 1, 5, 1, 13,
    49, 69, 55, 205, 547, 701, 1449, 6689, 3047, 12025, 1, 1, 7, 9, 13, 27,
    31, 87, 263, 499, 1573, 619, 6697, 9797, 7673, 1, 1, 3, 3, 1, 43, 45,
    81, 241, 143, 2045, 2847, 7361, 12253, 27815, 1, 1, 3, 11, 27, 13, 71, 119,
    365, 245, 113, 2635, 7157, 4951, 3381, 1, 1, 7, 7, 25, 23, 101, 21, 247,
    149, 431, 3165, 4109, 14305, 22549, 1, 1, 5, 1, 3, 51, 79, 7, 473, 337,
    709, 127, 555, 12147, 19843, 1, 1, 3, 5, 21, 35, 125, 51, 373, 859, 1429,
    2623, 787, 9669, 14933, 1, 1, 1, 9, 25, 45, 47, 251, 475, 823, 1361, 1393,
    6787, 14571, 11311, 1, 3, 3, 13, 1, 27, 75, 153, 19, 373, 209, 3083, 8071,
    15401, 14619, 1, 1, 1, 13, 25, 39, 73, 235, 251, 245, 247, 1909, 2057, 14937,
    16509, 1, 1, 5, 11, 31, 15, 117, 167, 79, 911, 403, 3595, 4633, 11017, 5021,
    1, 1, 1, 9, 9, 37, 19, 179, 417, 285, 1237, 2667, 2131, 5943, 21265, 1,
    3, 7, 13, 29, 53, 89, 223, 37, 101, 1255, 97, 3813, 8543, 17949, 1, 1,
    1, 13, 25, 61, 33, 145, 271, 639, 1539, 2967, 1043, 10259, 27997, 1, 1, 3,
    7, 11, 17, 21, 21, 159, 485, 1855, 3139, 6605, 9567, 21401, 1, 3, 7, 9,
    27, 23, 23, 121, 17, 45, 537, 3155, 2409, 15359, 16105, 1, 1, 3, 13, 11,
    51, 87, 251, 297, 227, 411, 3737, 3649, 14697, 665, 1, 3, 5, 11, 23, 23,
    3, 75, 99, 149, 1505, 1137, 6495, 12629, 29339, 1, 3, 1, 9, 29, 1, 83,
    233, 387, 801, 1387, 2721, 1399, 2275, 19865, 1, 3, 7, 7, 31, 33, 1, 253,
    71, 435, 781, 2991, 6881, 13183, 10419, 1, 1, 5, 11, 19, 61, 25, 167, 79,
    173, 447, 911, 6509, 5531, 9387, 1, 1, 1, 15, 31, 23, 117, 1, 119, 939,
    1277, 2517, 2019, 4979, 4065, 1, 3, 3, 9, 5, 49, 87, 187, 159, 941, 303,
    217, 5931, 9065, 20043, 1, 3, 1, 11, 31, 43, 25, 45, 61, 361, 2043, 817,
    8023, 14309, 6781, 1, 3, 7, 9, 27, 45, 97, 189, 387, 379, 621, 2449, 39,
    10313, 14603, 1, 3, 1, 5, 5, 45, 89, 251, 103, 33, 1141, 2957, 6511, 8497,
    16609, 1, 3, 5, 15, 19, 11, 115, 255, 277, 419, 15, 999, 7509, 14191, 2749,
    1, 1, 1, 7, 7, 51, 127, 225, 295, 389, 1039, 2775, 5531, 10645, 13391, 1,
    3, 3, 11, 13, 63, 37, 5, 3, 737, 123, 777, 1469, 4009, 17037, 1, 1,
    3, 5, 31, 43, 59, 119, 287, 973, 541, 751, 5697, 7909, 28673, 1, 1, 5,
    7, 15, 61, 71, 213, 465, 961, 1399, 3227, 571, 10759, 13947, 1, 1, 5, 9,
    17, 53, 85, 11, 185, 397, 567, 3763, 483, 6243, 31191, 1, 3, 7, 1, 31,
    57, 13, 255, 495, 315, 763, 3153, 5543, 5719, 2235, 1, 1, 1, 1, 13, 25,
    43, 125, 391, 483, 1029, 3739, 4991, 891, 24935, 1, 3, 7, 3, 21, 3, 79,
    205, 87, 3, 1859, 1467, 6129, 14431, 18881, 1, 1, 1, 11, 15, 21, 79, 145,
    253, 595, 1939, 2195, 5735, 5383, 5311, 1, 1, 7, 3, 13, 61, 89, 3, 231,
    867, 1385, 183, 957, 791, 2879, 1, 3, 5, 7, 1, 39, 47, 107, 217, 725,
    1707, 2241, 2813, 5373, 23191, 1, 1, 1, 5, 27, 29, 119, 159, 287, 343, 693,
    519, 2127, 6083, 2991, 1, 3, 3, 11, 3, 51, 11, 119, 337, 567, 1175, 235,
    6801, 1643, 26593, 1, 1, 5, 3, 27, 49, 91, 249, 489, 257, 1735, 3227, 1419,
    4401, 12263, 1, 1, 3, 13, 27, 37, 101, 43, 289, 313, 1031, 2921, 3655, 6781,
    29593, 1, 1, 5, 5, 17, 23, 117, 129, 261, 919, 265, 1561, 1297, 815, 4315,
    1, 1, 3, 13, 23, 31, 95, 231, 99, 909, 1477, 3385, 5679, 15319, 28849, 1,
    1, 5, 11, 25, 27, 69, 83, 15, 31, 1469, 751, 2339, 3251, 17343, 1, 1,
    1, 9, 5, 19, 49, 25, 145, 763, 667, 2003, 6905, 15623, 3533, 1, 1, 1,
    5, 5, 17, 65, 151, 333, 639, 1885, 3561, 1083, 7875, 22647, 1, 3, 5, 7,
    25, 45, 79, 175, 87, 305, 1447, 1935, 3627, 6007, 27877, 1, 3, 7, 1, 11,
    37, 63, 37, 323, 405, 1851, 435, 1501, 1345, 13729, 1, 3, 7, 13, 9, 37,
    115, 151, 255, 795, 811, 681, 5631, 489, 21813, 1, 1, 1, 11, 13, 25, 61,
    91, 367, 289, 1093, 41, 5073, 1105, 28059, 1, 1, 3, 13, 29, 53, 13, 173,
    83, 313, 1223, 719, 517, 11689, 28719, 1, 1, 5, 3, 5, 21, 71, 229, 95,
    187, 739, 2607, 601, 2359, 10603, 1, 1, 1, 5, 25, 35, 55, 131, 173, 677,
    1887, 3293, 7641, 13535, 25561, 1, 3, 5, 13, 29, 47, 27, 1, 131, 345, 1751,
    1807, 235, 1891, 5909, 1, 1, 3, 3, 15, 41, 55, 201, 263, 831, 401, 2685,
    7403, 11827, 15353, 1, 3, 1, 7, 5, 3, 99, 61, 433, 641, 1817, 891, 1937,
    7179, 14391, 1, 1, 5, 15, 19, 33, 37, 223, 329, 5, 1897, 2737, 4339, 9325,
    12199, 1, 1, 5, 3, 3, 23, 47, 125, 85, 61, 1133, 2467, 1991, 8059, 153,
    1, 1, 1, 15, 29, 45, 117, 133, 447, 627, 525, 173, 1165, 11939, 21807, 1,
    1, 1, 3, 1, 15, 5, 49, 237, 675, 717, 2783, 4287, 11485, 3797, 1, 3,
    5, 15, 19, 63, 23, 79, 313, 1007, 1321, 229, 7537, 825, 29127, 1, 1, 3,
    15, 15, 55, 1, 229, 221, 359, 1021, 3307, 4993, 8781, 29275, 1, 3, 3, 11,
    17, 57, 37, 207, 283, 599, 1867, 31, 6631, 10605, 29671, 1, 3, 3, 9, 25,
    9, 111, 87, 325, 515, 1249, 2027, 7783, 6473, 23737, 1, 3, 3, 3, 31, 11,
    39, 161, 65, 259, 1747, 597, 913, 12397, 25611, 1, 3, 5, 11, 31, 37, 27,
    157, 411, 785, 1699, 467, 3993, 6357, 11039, 1, 3, 3, 7, 5, 41, 61, 103,
    33, 789, 1861, 319, 7667, 10169, 10823, 1, 1, 7, 5, 31, 37, 45, 175, 453,
    423, 291, 3989, 2215, 11379, 28713, 1, 3, 3, 1, 23, 39, 75, 103, 341, 961,
    2039, 1539, 7831, 1665, 18579, 1, 1, 5, 13, 19, 25, 27, 183, 241, 539, 257,
    3, 3709, 8133, 31081, 1, 1, 3, 15, 1, 53, 27, 229, 299, 913, 1277, 2687,
    831, 1065, 4409, 1, 1, 7, 9, 13, 47, 127, 145, 481, 751, 1745, 3645, 2853,
    5601, 14991, 1, 3, 7, 3, 3, 39, 31, 191, 69, 707, 1757, 223, 5055, 14777,
    4433, 1, 1, 7, 15, 27, 33, 77, 75, 357, 1007, 1373, 3445, 2597, 6085, 19441,
    1, 1, 1, 9, 13, 53, 77, 61, 425, 245, 1149, 1239, 1989, 1293, 12971, 1,
    1, 1, 7, 23, 43, 29, 89, 349, 411, 2021, 2075, 4917, 11387, 27045, 1, 1,
    5, 11, 27, 63, 71, 19, 363, 289, 1147, 2541, 4427, 591, 21287, 1, 1, 1,
    3, 27, 3, 1, 159, 85, 651, 1109, 1885, 5639, 11725, 1527, 1, 1, 3, 1,
    11, 63, 77, 185, 233, 129, 1721, 2419, 2043, 3121, 2159, 1, 1, 1, 3, 11,
    27, 83, 193, 143, 89, 1927, 3753, 4041, 10397, 1973, 1, 1, 5, 1, 9, 61,
    49, 29, 333, 621, 1555, 4051, 3011, 12075, 4699, 1, 3, 1, 5, 25, 37, 69,
    81, 271, 827, 763, 2973, 3729, 2339, 4783, 1, 3, 1, 7, 23, 1, 95, 143,
    417, 517, 1991, 1423, 7511, 125, 18675, 1, 3, 5, 9, 3, 43, 71, 73, 443,
    335, 737, 1121, 8001, 13165, 11155, 1, 3, 1, 11, 1, 21, 39, 149, 261, 963,
    117, 3421, 2603, 4035, 4801, 1, 3, 5, 7, 23, 63, 101, 71, 495, 649, 469,
    2559, 541, 4499, 20357, 1, 1, 5, 7, 31, 37, 107, 239, 197, 695, 1403, 2193,
    5583, 16019, 11599, 1, 1, 5, 3, 21, 25, 127, 255, 259, 209, 1491, 349, 737,
    9781, 3697, 1, 1, 5, 9, 3, 47, 43, 123, 315, 983, 349, 2139, 6233, 731,
    745, 1, 1, 1, 1, 25, 63, 95, 101, 483, 439, 1073, 1813, 3809, 11987, 4607,
    1, 1, 3, 5, 23, 11, 11, 101, 9, 599, 931, 39, 6593, 14875, 13557, 1,
    3, 3, 3, 21, 59, 107, 131, 221, 351, 1057, 3689, 7471, 4659, 27303, 1, 1,
    5, 5, 19, 59, 79, 81, 169, 927, 1439, 2305, 2413, 2935, 28571, 1, 3, 7,
    5, 17, 37, 81, 125, 347, 81, 1029, 705, 7321, 4877, 28743, 1, 3, 5, 5,
    21, 27, 113, 161, 177, 49, 1655, 4035, 4987, 5545, 13137, 1, 1, 5, 13, 5,
    19, 117, 13, 379, 449, 765, 1395, 1051, 14783, 22283, 1, 1, 7, 13, 25, 57,
    59, 47, 15, 425, 1359, 1019, 4933, 6289, 2943, 1, 3, 7, 15, 7, 31, 95,
    245, 243, 515, 893, 2451, 83, 6561, 20993, 1, 3, 1, 13, 7, 45, 39, 227,
    245, 793, 1103, 3279, 6967, 14771, 23199, 1, 3, 5, 9, 21, 5, 103, 27, 509,
    187, 1727, 1281, 923, 8305, 29315, 1, 3, 1, 13, 13, 3, 3, 57, 231, 609,
    695, 3461, 6565, 16003, 12719, 1, 1, 5, 7, 13, 55, 49, 111, 111, 947, 1047,
    3745, 8141, 13181, 25703, 1, 3, 7, 15, 17, 51, 37, 253, 97, 363, 1617, 1201,
    3199, 11871, 29389, 1, 3, 3, 5, 23, 13, 73, 85, 53, 699, 1707, 2137, 4537,
    15375, 28251, 1, 3, 3, 7, 17, 35, 29, 251, 455, 153, 1703, 1535, 4801, 12889,
    5959, 1, 3, 1, 1, 15, 61, 75, 21, 211, 425, 1459, 1347, 7525, 15465, 28191,
    1, 1, 5, 15, 3, 1, 7, 163, 317, 85, 385, 3183, 1901, 6265, 13773, 1,
    1, 5, 1, 31, 43, 63, 15, 157, 711, 617, 2283, 1269, 15661, 28559, 1, 3,
    5, 1, 19, 57, 1, 149, 183, 9, 1587, 2711, 6563, 9291, 287, 1, 3, 1,
    7, 3, 47, 11, 85, 97, 245, 1673, 1147, 2187, 2361, 4417, 1, 3, 5, 7,
    9, 17, 75, 3, 449, 145, 1695, 597, 6931, 2281, 27291, 1, 1, 1, 7, 7,
    51, 53, 53, 463, 669, 677, 3579, 2609, 4147, 27567, 1, 1, 5, 13, 29, 63,
    3, 195, 507, 43, 425, 2121, 8147, 1287, 15137, 1, 1, 7, 9, 17, 7, 3,
    139, 301, 647, 817, 3657, 3217, 4651, 21497, 1, 1, 3, 13, 11, 43, 87, 139,
    441, 13, 1555, 2855, 4891, 3835, 17465, 1, 3, 1, 3, 15, 47, 29, 99, 481,
    377, 455, 929, 1977, 7221, 2517, 1, 3, 1, 9, 7, 41, 65, 19, 17, 573,
    1007, 2097, 4251, 4067, 17217, 1, 3, 3, 13, 27, 53, 41, 223, 67, 747, 163,
    1483, 1827, 11977, 17451, 1, 3, 5, 13, 17, 51, 109, 11, 105, 481, 239, 787,
    5337, 14103, 10499, 1, 1, 3, 11, 31, 25, 13, 139, 37, 307, 331, 633, 7907,
    4705, 26019, 1, 1, 7, 5, 25, 27, 11, 33, 463, 141, 1409, 2449, 2211, 10729,
    28935, 1, 3, 3, 13, 1, 39, 53, 81, 117, 79, 563, 3735, 253, 10483, 28129,
    1, 1, 3, 3, 7, 7, 103, 233, 341, 765, 11, 3735, 4011, 8075, 10239, 1,
    3, 7, 7, 25, 23, 83, 139, 255, 441, 611, 1583, 733, 673, 21145, 1, 1,
    3, 5, 29, 7, 49, 31, 417, 41, 133, 2119, 3871, 16029, 25649, 1, 3, 5,
    5, 13, 17, 99, 213, 149, 1015, 987, 2497, 7419, 183, 27645, 1, 3, 3, 1,
    25, 13, 107, 211, 113, 909, 1625, 2893, 3957, 10657, 16739, 1, 1, 5, 11, 5,
    3, 97, 61, 189, 779, 1633, 71, 3751, 4589, 30795, 1, 3, 3, 15, 3, 15,
    33, 175, 307, 937, 1713, 833, 2141, 1019, 26093, 1, 1, 7, 9, 15, 31, 9,
    45, 197, 905, 1343, 27, 6835, 4353, 7229, 1, 1, 7, 15, 23, 15, 73, 217,
    283, 853, 987, 389, 3875, 4353, 26667, 1, 3, 1, 7, 9, 1, 121, 39, 343,
    225, 143, 343, 5573, 14997, 15723, 1, 1, 5, 5, 19, 35, 73, 177, 15, 697,
    885, 3917, 6267, 14557, 30395, 1, 1, 3, 5, 3, 47, 59, 253, 107, 251, 1081,
    3115, 1295, 9261, 22389, 1, 1, 5, 15, 29, 47, 113, 153, 205, 5, 507, 1313,
    3329, 3043, 10135, 1, 1, 1, 3, 29, 39, 15, 147, 439, 975, 415, 3385, 5379,
    8957, 3441, 1, 1, 1, 11, 23, 35, 97, 251, 399, 653, 1327, 3805, 6475, 1729,
    29557, 1, 1, 3, 13, 1, 5, 63, 67, 209, 1005, 383, 2279, 509, 7039, 24973,
    1, 1, 7, 7, 17, 59, 1, 5, 325, 703, 1937, 2699, 163, 10115, 8407, 1,
    3, 1, 3, 25, 27, 73, 183, 41, 373, 909, 3957, 7135, 2401, 24963, 1, 1,
    5, 7, 21, 3, 113, 19, 279, 729, 669, 1403, 881, 3581, 29297, 1, 3, 3,
    1, 29, 9, 39, 97, 133, 369, 515, 1279, 2061, 5785, 29799, 1, 1, 1, 7,
    15, 9, 33, 227, 13, 117, 1903, 2437, 451, 10029, 27469, 1, 1, 1, 5, 25,
    3, 17, 11, 439, 701, 1319, 3357, 5487, 11165, 14077, 1, 3, 1, 9, 19, 61,
    115, 83, 381, 261, 1025, 3215, 6889, 6123, 3761, 1, 3, 3, 11, 21, 17, 37,
    151, 447, 683, 811, 2551, 6735, 16189, 13109, 1, 1, 1, 5, 5, 61, 11, 223,
    221, 755, 65, 913, 6285, 13337, 27473, 1, 1, 1, 13, 15, 37, 93, 7, 249,
    809, 1819, 3297, 4555, 9013, 16243, 1, 1, 1, 9, 3, 1, 13, 45, 407, 203,
    963, 1055, 727, 2269, 18663, 1, 3, 7, 13, 3, 19, 95, 87, 341, 337, 557,
    307, 7827, 15479, 24617, 1, 1, 1, 3, 31, 3, 125, 163, 439, 971, 815, 1785,
    2637, 2973, 15405, 1, 3, 1, 15, 13, 61, 25, 151, 227, 173, 215, 3151, 4201,
    6011, 13655, 1, 3, 1, 9, 27, 7, 13, 95, 511, 373, 2023, 1019, 3229, 2513,
    20929, 1, 3, 7, 13, 11, 19, 93, 159, 461, 209, 549, 119, 7419, 6969, 29707,
    1, 3, 1, 7, 17, 41, 53, 239, 121, 529, 27, 2129, 4675, 5159, 5767, 1,
    1, 1, 15, 23, 45, 31, 189, 427, 583, 191, 1123, 3183, 5499, 25925, 1, 3,
    7, 1, 3, 17, 39, 15, 257, 567, 459, 3731, 1315, 10975, 23725, 1, 3, 1,
    11, 27, 43, 31, 101, 285, 249, 1467, 3937, 6413, 611, 10287, 1, 1, 5, 7,
    19, 35, 5, 225, 211, 57, 1849, 3915, 5275, 13909, 18885, 1, 1, 5, 3, 17,
    45, 45, 197, 311, 777, 2013, 927, 6209, 15495, 30027, 1, 1, 7, 11, 9, 13,
    37, 81, 389, 459, 671, 2567, 7357, 5339, 13729, 1, 3, 1, 3, 29, 31, 63,
    189, 271, 543, 229, 1385, 2031, 8993, 5665, 1, 3, 5, 11, 5, 25, 39, 225,
    121, 207, 1161, 1739, 6627, 11129, 475, 1, 1, 7, 7, 19, 7, 29, 83, 25,
    707, 197, 335, 2613, 10035, 20157, 1, 3, 3, 7, 7, 63, 99, 169, 221, 125,
    563, 1351, 3867, 14903, 27469, 1, 3, 3, 7, 25, 5, 31, 151, 213, 555, 481,
    3955, 4347, 8811, 30687, 1, 1, 5, 13, 23, 9, 59, 149, 351, 819, 311, 233,
    4409, 3539, 6509, 1, 3, 3, 7, 1, 11, 3, 161, 473, 65, 1793, 367, 5115,
    15743, 27175, 1, 3, 3, 9, 15, 61, 5, 125, 53, 523, 1365, 1909, 7689, 10799,
    29199, 1, 1, 3, 7, 13, 43, 31, 179, 73, 611, 293, 2349, 4873, 11271, 29827,
    1, 1, 5, 5, 27, 31, 107, 197, 409, 405, 789, 1529, 7793, 5679, 25127, 1,
    3, 5, 1, 23, 35, 37, 119, 99, 891, 877, 1799, 5647, 13983, 22321, 1, 3,
    3, 13, 9, 49, 29, 245, 447, 963, 211, 3233, 2883, 5467, 24057, 1, 1, 3,
    5, 7, 29, 77, 7, 47, 141, 799, 2009, 7731, 4371, 24529, 1, 1, 7, 7,
    19, 31, 65, 21, 417, 395, 653, 1751, 2989, 6721, 28155, 1, 1, 3, 9, 1,
    5, 117, 119, 39, 949, 1081, 1919, 5689, 8367, 19043, 1, 3, 3, 13, 29, 45,
    73, 49, 393, 545, 581, 689, 2597, 5757, 26953, 1, 1, 7, 13, 3, 13, 1,
    97, 73, 517, 795, 2755, 5109, 15771, 19297, 1, 3, 1, 7, 11, 5, 117, 179,
    507, 483, 143, 1441, 3247, 7557, 10939, 1, 1, 7, 1, 7, 9, 1, 1, 465,
    1019, 37, 2011, 4065, 725, 10133, 1, 1, 7, 13, 15, 39, 69, 167, 399, 571,
    1089, 1787, 8097, 3209, 25689, 1, 1, 7, 3, 7, 23, 17, 197, 43, 727, 543,
    1307, 2701, 4121, 29165, 1, 1, 7, 3, 3, 29, 57, 89, 269, 667, 705, 2427,
    47, 5535, 21861, 1, 1, 1, 13, 3, 43, 55, 55, 337, 567, 63, 3061, 5191,
    16365, 24415, 1, 1, 5, 9, 3, 31, 123, 101, 149, 131, 1037, 3925, 861, 12811,
    23787, 1, 3, 1, 5, 1, 5, 71, 7, 113, 797, 863, 1199, 1911, 2551, 12423,
    1, 3, 1, 11, 19, 17, 25, 231, 7, 137, 127, 2297, 3345, 729, 909, 1,
    1, 5, 9, 17, 13, 5, 227, 327, 335, 1463, 2685, 6301, 15547, 13151, 1, 3,
    5, 9, 9, 25, 87, 53, 107, 219, 861, 1615, 371, 4983, 6445, 1, 3, 3,
    13, 21, 59, 109, 53, 365, 293, 1373, 147, 4215, 1007, 20401, 1, 3, 3, 5,
    5, 25, 113, 233, 317, 121, 427, 3561, 701, 10169, 23449, 1, 3, 5, 9, 9,
    41, 123, 199, 305, 639, 1131, 3635, 8125, 4007, 6883, 1, 3, 1, 13, 23, 5,
    105, 25, 281, 301, 1011, 3647, 263, 3389, 5527, 1, 1, 5, 15, 17, 59, 33,
    175, 115, 625, 975, 3189, 6973, 8291, 14201, 1, 3, 3, 5, 1, 41, 39, 231,
    57, 95, 623, 2199, 3821, 1627, 4035, 1, 3, 5, 11, 25, 5, 1, 21, 457,
    875, 355, 389, 1623, 9575, 1283, 1, 3, 1, 1, 21, 29, 83, 45, 315, 735,
    1253, 3743, 7163, 5163, 10833, 1, 3, 5, 13, 1, 5, 47, 21, 231, 1019, 1851,
    21, 1699, 851, 11857, 1, 3, 5, 7, 19, 9, 61, 241, 175, 191, 415, 1197,
    5643, 9765, 17375, 1, 3, 5, 1, 3, 5, 35, 231, 471, 175, 1715, 487, 2299,
    12355, 5113, 1, 1, 3, 9, 15, 45, 33, 93, 289, 371, 275, 1703, 6925, 5511,
    3203, 1, 3, 5, 7, 21, 55, 105, 199, 435, 955, 731, 719, 1571, 7341, 5255,
    1, 3, 7, 7, 1, 3, 127, 85, 11, 165, 1423, 3889, 7509, 14687, 23383, 1,
    1, 7, 11, 31, 61, 9, 141, 357, 801, 1785, 3813, 3437, 10853, 17191, 1, 1,
    7, 5, 23, 59, 17, 205, 449, 107, 1123, 1089, 5499, 12251, 653, 1, 3, 1,
    5, 3, 25, 71, 229, 263, 423, 1357, 3709, 1719, 2799, 10943, 1, 1, 5, 13,
    1, 23, 97, 209, 401, 809, 783, 2455, 1137, 13941, 12751, 1, 3, 3, 11, 21,
    47, 25, 29, 471, 677, 1129, 2689, 929, 5635, 26509, 1, 3, 1, 5, 7, 27,
    5, 195, 435, 255, 395, 2775, 297, 6909, 2289, 1, 1, 1, 9, 7, 53, 109,
    85, 141, 243, 1433, 1531, 5461, 1111, 7889, 1, 3, 7, 11, 13, 47, 91, 51,
    489, 433, 1667, 2955, 5135, 11949, 14123, 1, 1, 7, 15, 5, 57, 57, 147, 97,
    709, 1757, 1493, 2715, 12583, 18991, 1, 3, 1, 15, 7, 17, 79, 75, 397, 555,
    787, 1405, 4749, 6723, 3749, 1, 1, 3, 11, 21, 59, 5, 211, 215, 393, 1445,
    4057, 5115, 821, 7783, 1, 1, 3, 5, 29, 1, 97, 201, 21, 287, 1735, 2397,
    3401, 2017, 32229, 1, 1, 3, 13, 17, 43, 71, 25, 243, 423, 733, 1917, 1235,
    3527, 22695, 1, 1, 3, 15, 27, 7, 25, 239, 493, 945, 397, 3837, 5465, 12273,
    26025, 1, 3, 1, 7, 17, 17, 61, 7, 487, 439, 1433, 1761, 6507, 487, 32633,
    1, 3, 3, 9, 21, 29, 83, 27, 321, 73, 1247, 2593, 6935, 7009, 31617, 1,
    3, 3, 1, 25, 37, 99, 177, 357, 527, 1259, 3625, 4277, 15243, 28615, 1, 1,
    3, 13, 29, 31, 59, 177, 73, 1007, 1809, 2143, 7375, 4321, 3771, 1, 3, 3,
    3, 21, 7, 123, 253, 87, 995, 103, 561, 7639, 10087, 4149, 1, 1, 5, 13,
    11, 31, 53, 249, 435, 361, 367, 783, 7525, 5361, 21535, 1, 3, 7, 5, 15,
    25, 31, 9, 29, 907, 77, 2585, 2929, 12153, 19401, 1, 3, 5, 5, 15, 1,
    101, 99, 209, 583, 679, 1005, 2271, 269, 29527, 1, 1, 3, 1, 13, 35, 85,
    83, 77, 999, 1485, 2817, 7001, 13659, 25061, 1, 3, 7, 13, 19, 15, 19, 65,
    195, 693, 1399, 2875, 255, 6617, 7907, 1, 1, 5, 5, 13, 25, 67, 195, 131,
    481, 1831, 873, 6281, 4935, 2311, 1, 1, 1, 15, 27, 47, 85, 209, 323, 809,
    605, 2087, 1917, 8061, 13659, 1, 3, 1, 13, 5, 63, 69, 197, 241, 349, 813,
    3943, 6267, 16197, 1417, 1, 1, 1, 5, 13, 21, 85, 55, 21, 791, 795, 4087,
    2697, 6545, 30253, 1, 3, 5, 15, 31, 13, 117, 237, 99, 803, 1367, 251, 5143,
    12153, 27565, 1, 1, 7, 7, 11, 7, 17, 47, 305, 9, 941, 3529, 6131, 11027,
    20319, 1, 3, 1, 5, 19, 51, 1, 113, 277, 573, 1717, 1757, 4541, 943, 349,
    1, 3, 1, 1, 21, 23, 11, 143, 413, 171, 355, 2801, 2431, 11597, 16833, 1,
    3, 1, 1, 13, 31, 111, 109, 73, 125, 1011, 2249, 4039, 8757, 2765, 1, 1,
    1, 7, 15, 53, 33, 133, 511, 595, 139, 815, 6093, 10215, 9507, 1, 3, 7,
    7, 29, 1, 93, 13, 169, 435, 527, 3861, 3867, 9337, 26855, 1, 1, 5, 3,
    13, 29, 91, 73, 257, 645, 679, 3245, 6467, 5917, 17891, 1, 1, 7, 15, 27,
    1, 45, 17, 429, 571, 1127, 3843, 3801, 4773, 16577, 1, 1, 7, 11, 29, 29,
    65, 111, 415, 941, 1411, 3003, 3945, 15281, 16851, 1, 3, 1, 3, 3, 29, 39,
    121, 165, 285, 1895, 283, 4393, 13281, 3349, 1, 3, 1, 9, 27, 1, 35, 119,
    91, 445, 1045, 1427, 6271, 955, 509, 1, 1, 7, 1, 11, 15, 3, 181, 17,
    3, 1865, 2465, 357, 12149, 7359, 1, 3, 5, 5, 11, 47, 5, 65, 105, 53,
    1341, 3729, 4883, 5179, 29353, 1, 1, 7, 5, 15, 53, 23, 181, 125, 441, 511,
    3933, 2327, 1305, 14629, 1, 1, 3, 5, 3, 11, 91, 187, 177, 649, 1849, 2545,
    3349, 6563, 8139, 1, 3, 1, 11, 31, 35, 71, 51, 235, 295, 521, 3869, 3083,
    1327, 3277, 1, 1, 3, 15, 11, 11, 125, 163, 71, 721, 449, 3443, 1347, 6221,
    19489, 1, 1, 7, 3, 25, 13, 13, 149, 115, 563, 311, 1823, 2687, 5997, 23063,
    1, 1, 1, 13, 7, 47, 115, 19, 419, 395, 591, 2413, 7143, 11235, 25795, 1,
    1, 1, 7, 17, 37, 63, 57, 175, 301, 493, 1849, 1903, 13149, 21429, 1, 1,
    3, 3, 1, 53, 15, 91, 315, 687, 473, 1639, 7769, 11621, 24245, 1, 1, 5,
    11, 13, 35, 13, 235, 365, 677, 611, 3175, 6349, 445, 13739, 1, 1, 1, 15,
    17, 49, 49, 15, 205, 755, 665, 3865, 6499, 6521, 31925, 1, 1, 3, 5, 9,
    49, 57, 119, 489, 633, 1407, 957, 4005, 14503, 2783, 1, 1, 3, 13, 17, 41,
    73, 137, 195, 457, 1361, 3209, 3701, 9675, 26499, 1, 3, 7, 3, 31, 49, 71,
    83, 141, 1009, 1503, 3393, 4653, 8051, 25861, 1, 3, 7, 9, 31, 17, 83, 211,
    3, 81, 1579, 387, 4471, 5407, 28849, 1, 1, 5, 9, 3, 51, 45, 157, 197,
    195, 1121, 2451, 3885, 9317, 29157, 1, 3, 7, 5, 23, 19, 49, 89, 107, 369,
    129, 2381, 383, 8279, 29277, 1, 3, 3, 13, 21, 7, 123, 221, 85, 819, 1857,
    1211, 7495, 2921, 9529, 1, 3, 3, 13, 19, 13, 63, 47, 465, 739, 1961, 2779,
    7989, 8419, 19249, 1, 3, 5, 15, 25, 49, 65, 39, 333, 193, 443, 1221, 245,
    523, 31885, 1, 3, 5, 7, 31, 3, 69, 173, 19, 593, 61, 1545, 415, 14489,
    9723, 1, 3, 3, 1, 5, 9, 121, 87, 431, 893, 1031, 3589, 4263, 11355, 22725,
    1, 1, 5, 3, 21, 9, 47, 151, 165, 941, 1369, 3991, 989, 1515, 12725, 1,
    3, 7, 1, 7, 47, 57, 153, 239, 397, 1723, 1681, 521, 8173, 14567, 1, 3,
    3, 5, 23, 9, 77, 201, 61, 969, 345, 2817, 4391, 2193, 18739, 1, 1, 5,
    13, 15, 45, 83, 165, 421, 967, 449, 3419, 2475, 7283, 18199, 1, 3, 7, 11,
    25, 37, 3, 175, 327, 35, 1179, 927, 5263, 1723, 32015, 1, 1, 5, 15, 29,
    17, 63, 45, 495, 107, 459, 2223, 989, 11823, 6547, 1, 3, 1, 13, 17, 15,
    127, 223, 369, 409, 303, 2229, 7349, 10165, 28327, 1, 3, 5, 15, 15, 17, 119,
    185, 55, 299, 113, 3585, 2289, 7793, 26217, 1, 3, 7, 13, 21, 33, 3, 5,
    169, 615, 1607, 1069, 1827, 6165, 16245, 1, 1, 5, 13, 21, 59, 119, 253, 181,
    1001, 2001, 887, 4129, 3953, 29979, 1, 3, 3, 9, 29, 17, 33, 3, 375, 973,
    989, 1725, 731, 12845, 21133, 1, 1, 3, 13, 21, 25, 65, 41, 379, 693, 1507,
    1601, 2087, 8181, 12723, 1, 1, 7, 1, 21, 37, 117, 187, 483, 779, 1279, 685,
    5479, 12039, 12559, 1, 1, 3, 5, 7, 39, 49, 79, 361, 191, 1749, 507, 19,
    10671, 4745, 1, 1, 1, 15, 15, 45, 37, 49, 85, 311, 577, 2417, 4061, 1409,
    19187, 1, 3, 5, 11, 5, 1, 41, 73, 313, 741, 1081, 3325, 977, 1693, 15249,
    1, 1, 1, 9, 19, 49, 29, 169, 153, 665, 413, 907, 6129, 4961, 21295, 1,
    3, 3, 3, 23, 17, 91, 27, 375, 231, 513, 1459, 7245, 8117, 19583, 1, 1,
    7, 13, 19, 57, 111, 195, 491, 771, 1841, 1339, 5045, 12901, 17307, 1, 1, 1,
    7, 1, 61, 61, 11, 151, 403, 173, 3629, 2157, 6125, 29233, 1, 3, 1, 13,
    29, 63, 55, 9, 465, 439, 9, 1527, 4635, 4533, 13633, 1, 3, 5, 1, 15,
    57, 113, 137, 483, 753, 1971, 1141, 2765, 7865, 32733, 1, 3, 5, 15, 9, 23,
    125, 81, 471, 457, 1475, 3419, 6089, 4899, 19805, 1, 1, 5, 3, 25, 29, 1,
    115, 273, 281, 899, 3129, 4877, 15459, 24615, 1, 1, 7, 11, 19, 41, 59, 165,
    115, 369, 1173, 2545, 4285, 10899, 3823, 1, 3, 5, 13, 17, 47, 107, 191, 53,
    1003, 747, 583, 6457, 12141, 2541, 1, 3, 7, 1, 9, 51, 33, 201, 399, 209,
    271, 679, 2401, 10521, 9949, 1, 1, 5, 9, 5, 53, 117, 157, 137, 757, 257,
    1407, 4831, 11205, 25075, 1, 1, 7, 13, 29, 63, 25, 11, 255, 251, 1393, 2089,
    1701, 11773, 24011, 1, 3, 3, 11, 17, 5, 69, 119, 287, 607, 779, 2369, 55,
    12381, 26051, 1, 3, 3, 13, 25, 1, 97, 109, 79, 453, 795, 2821, 4113, 3085,
    30667, 1, 1, 1, 9, 25, 17, 87, 163, 483, 803, 315, 2755, 7147, 12537, 7707,
    1, 3, 1, 5, 23, 29, 93, 129, 47, 181, 1577, 2645, 4103, 10753, 27119, 1,
    1, 1, 1, 17, 61, 37, 175, 451, 5, 879, 1625, 7981, 11249, 12573, 1, 1,
    3, 5, 9, 17, 85, 131, 111, 621, 903, 3143, 5951, 6567, 32227, 1, 3, 5,
    3, 1, 49, 53, 255, 435, 845, 225, 2535, 7925, 8043, 17519, 1, 3, 3, 5,
    23, 7, 63, 117, 79, 637, 1265, 2747, 6531, 7327, 17329, 1, 3, 7, 3, 27,
    35, 69, 253, 489, 495, 561, 3615, 917, 6595, 10673, 1, 1, 1, 5, 25, 7,
    99, 99, 499, 251, 1651, 3603, 689, 5837, 347, 1, 1, 3, 5, 1, 27, 55,
    91, 137, 291, 517, 2149, 1097, 2187, 16191, 1, 1, 1, 11, 29, 3, 103, 81,
    335, 85, 549, 1667, 5319, 5929, 15885, 1, 1, 3, 9, 7, 41, 103, 141, 103,
    655, 179, 1513, 7105, 1919, 2245, 1, 3, 5, 11, 11, 13, 127, 65, 493, 233,
    859, 3179, 5449, 13255, 14495, 1, 3, 1, 5, 27, 49, 119, 29, 55, 717, 1293,
    1193, 7883, 4475, 13745, 1, 3, 7, 3, 21, 9, 1, 43, 425, 385, 447, 3135,
    7671, 12317, 5649, 1, 1, 7, 5, 21, 51, 103, 199, 119, 875, 1457, 461, 6521,
    7849, 7725, 1, 1, 1, 15, 9, 25, 89, 125, 395, 269, 1533, 1545, 2613, 11175,
    17167, 1, 3, 5, 9, 17, 41, 113, 37, 253, 407, 795, 2117, 3041, 9269, 30097,
    1, 1, 3, 11, 31, 13, 23, 29, 385, 603, 1721, 3817, 3453, 2021, 8829, 1,
    1, 7, 9, 21, 3, 107, 121, 267, 385, 261, 3967, 5607, 13991, 8639, 1, 3,
    5, 15, 17, 19, 99, 195, 415, 19, 865, 4049, 3819, 7581, 10779, 1, 1, 5,
    15, 25, 29, 125, 105, 337, 153, 2023, 1475, 2741, 7779, 16929, 1, 3, 3, 5,
    11, 1, 111, 157, 441, 751, 865, 3499, 6425, 9567, 6659, 1, 1, 5, 3, 23,
    41, 57, 91, 413, 81, 1977, 2227, 2289, 1291, 19339, 1, 1, 3, 15, 15, 49,
    47, 115, 153, 593, 1243, 2029, 1177, 8121, 14893, 1, 1, 5, 15, 29, 11, 55,
    23, 173, 145, 143, 2275, 4537, 13221, 32575, 1, 1, 1, 9, 29, 53, 103, 37,
    327, 543, 1327, 899, 6343, 6707, 1247, 1, 3, 1, 13, 21, 49, 113, 205, 349,
    451, 1277, 989, 3387, 9275, 6629, 1, 3, 5, 5, 31, 59, 79, 65, 285, 841,
    287, 1453, 1507, 14813, 14705, 1, 1, 3, 5, 9, 11, 79, 109, 313, 339, 1939,
    2399, 5127, 8747, 11989, 1, 3, 3, 9, 9, 27, 83, 135, 249, 101, 1181, 451,
    6063, 609, 15371, 1, 1, 5, 5, 15, 61, 77, 221, 19, 643, 1535, 1223, 7165,
    10969, 10367, 1, 1, 7, 13, 5, 9, 61, 95, 493, 709, 71, 1571, 6805, 9687,
    12217, 1, 3, 5, 7, 17, 55, 57, 179, 217, 699, 943, 127, 1603, 6851, 8579,
    1, 3, 1, 11, 25, 51, 127, 13, 429, 15, 949, 2337, 5743, 14255, 15137, 1,
    3, 7, 15, 5, 39, 39, 105, 119, 355, 1655, 3819, 1313, 5173, 7791, 1, 3,
    7, 5, 3, 47, 93, 85, 19, 399, 303, 1333, 5435, 9425, 6503, 1, 3, 1,
    7, 21, 33, 71, 253, 489, 149, 227, 797, 955, 6839, 23037, 1, 1, 7, 1,
    27, 59, 15, 47, 249, 557, 1477, 1837, 4409, 14723, 14933, 1, 3, 5, 13, 1,
    47, 11, 205, 131, 17, 373, 2039, 1873, 3041, 22869, 1, 1, 3, 1, 11, 27,
    99, 135, 195, 419, 561, 1027, 1849, 13533, 7701, 1, 1, 7, 15, 27, 23, 77,
    111, 157, 417, 591, 3435, 5999, 9481, 17073, 1, 3, 5, 3, 9, 61, 57, 43,
    85, 585, 1861, 703, 2337, 8565, 16233, 1, 1, 3, 11, 7, 17, 41, 213, 145,
    325, 1847, 3205, 3515, 1117, 285, 1, 3, 5, 11, 7, 35, 95, 127, 57, 123,
    759, 129, 4335, 15183, 2107, 1, 3, 7, 7, 13, 1, 87, 193, 63, 201, 741,
    2087, 1625, 1677, 31603, 1, 1, 7, 11, 13, 53, 127, 235, 489, 173, 1551, 1897,
    5877, 15559, 24445, 1, 1, 7, 7, 9, 53, 59, 247, 83, 521, 2029, 3677, 2083,
    11635, 30517, 1, 1, 1, 5, 9, 19, 71, 99, 213, 663, 947, 1929, 5275, 9715,
    10033, 1, 1, 5, 11, 25, 31, 33, 239, 137, 445, 1227, 1051, 7405, 7983, 10079,
    1, 3, 3, 15, 27, 35, 51, 207, 167, 519, 303, 3399, 4393, 1623, 21225, 1,
    3, 1, 11, 17, 13, 41, 229, 441, 879, 1695, 1351, 5745, 1907, 15517, 1, 3,
    7, 1, 3, 1, 95, 105, 333, 11, 1709, 2783, 3011, 5579, 14939, 1, 3, 1,
    1, 5, 33, 67, 103, 71, 707, 325, 315, 567, 11969, 23071, 1, 1, 7, 11,
    5, 61, 47, 131, 413, 507, 991, 27, 3873, 13151, 4115, 1, 1, 5, 11, 9,
    31, 103, 91, 297, 419, 1251, 1155, 5539, 10347, 26811, 1, 3, 3, 3, 15, 37,
    37, 167, 307, 397, 561, 2431, 6219, 3401, 23551, 1, 3, 7, 7, 29, 11, 33,
    7, 177, 625, 853, 2317, 7371, 7435, 18135, 1, 1, 5, 1, 29, 7, 107, 97,
    3, 97, 901, 717, 1911, 3877, 29583, 1, 1, 7, 3, 27, 33, 33, 105, 285,
    3, 1427, 13, 3941, 299, 12025, 1, 1, 3, 7, 13, 57, 81, 131, 327, 587,
    445, 1313, 4797, 8587, 5915, 1, 1, 3, 13, 21, 29, 43, 89, 499, 893, 501,
    2409, 3145, 9435, 10831, 1, 1, 7, 11, 25, 21, 23, 211, 37, 993, 199, 3791,
    291, 465, 32513, 1, 1, 5, 11, 15, 53, 123, 91, 407, 925, 1125, 927, 6793,
    1905, 27477, 1, 1, 1, 11, 27, 51, 1, 77, 5, 273, 1363, 3835, 1627, 14925,
    9431, 1, 1, 7, 3, 29, 47, 47, 79, 305, 655, 1171, 899, 95, 9413, 14371,
    1, 1, 7, 13, 31, 45, 5, 211, 331, 677, 1045, 929, 975, 2377, 15407, 1,
    3, 5, 13, 21, 59, 61, 111, 449, 641, 597, 4023, 6333, 4439, 605, 1, 1,
    3, 5, 29, 7, 89, 21, 373, 311, 433, 1091, 4871, 8951, 22591, 1, 1, 1,
    7, 27, 17, 81, 77, 119, 1005, 873, 2299, 6919, 657, 12479, 1, 3, 3, 5,
    29, 41, 31, 133, 411, 655, 1753, 1365, 1807, 15975, 23783, 1, 1, 3, 9, 21,
    11, 79, 65, 149, 121, 1393, 983, 885, 6991, 14943, 1, 1, 1, 3, 17, 39,
    123, 35, 101, 363, 1991, 3309, 2117, 16229, 3017, 1, 3, 3, 15, 19, 61, 41,
    201, 267, 985, 1635, 2681, 883, 13343, 22061, 1, 1, 7, 7, 9, 13, 15, 139,
    25, 989, 1817, 867, 5913, 16197, 7521, 1, 1, 5, 5, 11, 29, 49, 75, 135,
    705, 315, 2769, 3539, 13655, 11443, 1, 1, 7, 1, 25, 9, 53, 81, 217, 391,
    1789, 3837, 1191, 12359, 21831, 1, 1, 5, 9, 3, 39, 1, 81, 367, 893, 1661,
    3693, 9, 4061, 15321, 1, 1, 5, 5, 27, 21, 11, 23, 287, 901, 1695, 469,
    1993, 11435, 12637, 1, 1, 3, 7, 21, 25, 113, 161, 361, 583, 2023, 831, 7161,
    5125, 21097, 1, 1, 1, 13, 11, 29, 21, 221, 255, 255, 693, 701, 989, 10323,
    3165, 1, 1, 5, 15, 5, 27, 107, 213, 85, 325, 1359, 735, 161, 11505, 24007,
    1, 3, 1, 9, 1, 47, 17, 241, 53, 563, 635, 3159, 3231, 12167, 221, 1,
    1, 1, 9, 21, 51, 15, 1, 491, 283, 1933, 1455, 6921, 10547, 29725, 1, 3,
    3, 3, 31, 43, 123, 103, 291, 479, 1207, 1703, 5591, 6555, 37, 1, 3, 7,
    7, 13, 53, 29, 155, 101, 651, 423, 2705, 6469, 13795, 9903, 1, 1, 7, 3,
    23, 27, 39, 181, 47, 297, 353, 327, 6723, 5981, 8333, 1, 1, 1, 1, 29,
    41, 55, 177, 459, 933, 675, 177, 1459, 6371, 8301, 1, 3, 5, 1, 11, 29,
    45, 119, 145, 793, 1771, 2295, 2349, 13825, 10389, 1, 3, 7, 7, 13, 9, 85,
    201, 509, 285, 1613, 2571, 3925, 4303, 14625, 1, 3, 5, 1, 17, 53, 89, 93,
    401, 429, 865, 679, 1995, 13567, 32275, 1, 1, 1, 3, 17, 23, 97, 39, 309,
    67, 1445, 101, 4305, 12195, 18559, 1, 1, 5, 11, 27, 35, 119, 67, 411, 461,
    1149, 1651, 6149, 1543, 19747, 1, 1, 5, 9, 23, 51, 25, 109, 283, 331, 1651,
    691, 7953, 1979, 7425, 1, 3, 3, 1, 31, 63, 113, 191, 481, 467, 589, 2375,
    4619, 3745, 4343, 1, 1, 3, 1, 27, 35, 61, 29, 115, 909, 107, 815, 1579,
    8373, 32657, 1, 3, 3, 11, 21, 45, 101, 27, 229, 1011, 497, 841, 7653, 5429,
    17329, 1, 3, 7, 9, 27, 5, 105, 171, 75, 45, 865, 4061, 7947, 4979, 20577,
    1, 3, 7, 15, 9, 45, 67, 221, 27, 31, 187, 2063, 4733, 10087, 23091, 1,
    3, 5, 15, 3, 51, 79, 117, 379, 687, 721, 3645, 6639, 14161, 16187, 1, 3,
    1, 1, 5, 15, 117, 177, 163, 577, 279, 1549, 2397, 8099, 2125, 1, 3, 3,
    5, 17, 11, 121, 89, 313, 541, 47, 1993, 3313, 159, 3761, 1, 3, 5, 7,
    11, 43, 7, 165, 283, 7, 1275, 3391, 417, 11697, 22357, 1, 1, 3, 13, 27,
    47, 65, 51, 83, 223, 2015, 2939, 6121, 3873, 27573, 1, 3, 1, 3, 19, 55,
    115, 105, 345, 393, 1609, 3131, 109, 11443, 23475, 1, 3, 3, 15, 21, 61, 39,
    69, 381, 279, 1473, 1239, 661, 781, 21603, 1, 1, 7, 1, 3, 7, 7, 129,
    229, 233, 77, 845, 7871, 3013, 14469, 1, 1, 7, 1, 17, 9, 3, 17, 375,
    27, 473, 945, 4111, 7645, 7899, 1, 1, 7, 3, 25, 31, 71, 157, 269, 1003,
    1875, 3573, 8121, 14073, 26019, 1, 3, 3, 13, 17, 25, 57, 1, 63, 425, 507,
    2341, 4891, 12643, 32083, 1, 1, 3, 13, 23, 47, 55, 145, 269, 417, 559, 2065,
    5801, 13751, 15617, 1, 3, 7, 9, 3, 39, 45, 143, 131, 713, 1549, 779, 1427,
    10819, 10629, 1, 1, 5, 3, 13, 61, 99, 145, 293, 393, 1181, 4011, 6843, 12667,
    21301, 1, 3, 7, 1, 19, 29, 105, 109, 391, 569, 1933, 1799, 8045, 509, 13251,
    1, 1, 3, 3, 21, 55, 123, 239, 65, 891, 635, 3107, 2701, 9041, 28249, 1,
    1, 3, 7, 1, 11, 9, 49, 51, 243, 51, 3, 6813, 14995, 27065, 1, 1,
    3, 11, 29, 35, 107, 19, 415, 273, 881, 49, 3267, 4791, 9609, 1, 1, 5,
    3, 5, 39, 59, 127, 267, 215, 375, 133, 8057, 8497, 23595, 1, 3, 7, 9,
    1, 41, 81, 199, 287, 907, 743, 2875, 3873, 2851, 7385, 1, 3, 1, 13, 13,
    49, 25, 43, 105, 511, 1483, 3277, 7561, 7211, 20671, 1, 3, 5, 13, 19, 21,
    37, 87, 439, 69, 1145, 141, 6187, 6329, 26923, 1, 3, 1, 13, 13, 59, 123,
    155, 189, 803, 1807, 363, 2239, 547, 30801, 1, 3, 7, 7, 1, 61, 93, 25,
    205, 275, 1591, 1575, 3951, 12313, 9399, 1, 1, 1, 9, 11, 49, 43, 241, 435,
    515, 283, 3667, 2089, 4755, 19427, 1, 1, 1, 5, 19, 57, 5, 23, 271, 113,
    481, 2619, 4507, 15191, 2227, 1, 1, 1, 11, 11, 15, 49, 51, 121, 463, 1015,
    791, 3993, 14311, 8723, 1, 1, 1, 7, 17, 19, 55, 137, 211, 307, 1647, 2719,
    5231, 13005, 17527, 1, 1, 3, 3, 1, 25, 5, 119, 271, 611, 1799, 3149, 2159,
    9147, 30765, 1, 1, 1, 15, 5, 19, 75, 137, 483, 457, 1913, 31, 9, 8333,
    3315, 1, 3, 7, 7, 5, 11, 95, 83, 269, 105, 67, 2021, 6423, 10315, 28017,
    1, 3, 1, 7, 27, 49, 7, 45, 297, 899, 665, 2473, 2863, 2171, 10693, 1,
    1, 5, 5, 25, 17, 41, 155, 101, 355, 197, 3853, 2381, 9663, 25187, 1, 3,
    7, 15, 15, 53, 119, 233, 79, 545, 1203, 1535, 3563, 2469, 29449, 1, 1, 5,
    5, 27, 57, 113, 189, 3, 253, 1743, 3735, 5257, 10521, 18679, 1, 3, 7, 1,
    5, 29, 117, 207, 101, 293, 615, 401, 7201, 11451, 13705, 1, 1, 5, 11, 13,
    59, 55, 101, 253, 801, 1947, 3509, 655, 5555, 15517, 1, 3, 3, 5, 3, 19,
    31, 93, 3, 1009, 1535, 261, 2259, 9835, 5797, 1, 3, 3, 9, 9, 53, 1,
    213, 123, 271, 1137, 11, 6331, 9907, 13219, 1, 1, 7, 5, 17, 9, 83, 153,
    231, 3, 1179, 735, 553, 10627, 4643, 1, 1, 1, 11, 25, 21, 127, 85, 17,
    541, 535, 1041, 5071, 15451, 909, 1, 3, 1, 7, 29, 31, 75, 91, 67, 253,
    971, 327, 7491, 7627, 31857, 1, 3, 1, 5, 23, 19, 79, 197, 25, 83, 1427,
    2023, 1861, 1617, 10129, 1, 1, 5, 13, 27, 55, 113, 191, 119, 301, 1243, 333,
    7609, 4875, 19035, 1, 1, 5, 5, 7, 51, 59, 157, 21, 697, 171, 2857, 3875,
    15413, 28749, 1, 1, 1, 11, 13, 45, 49, 161, 389, 715, 991, 839, 2655, 11399,
    5261, 1, 1, 7, 5, 17, 51, 87, 75, 65, 67, 1283, 1991, 7735, 9063, 313,
    1, 3, 3, 13, 29, 39, 109, 159, 63, 103, 587, 1941, 3883, 1119, 4303, 1,
    3, 3, 1, 15, 27, 69, 49, 417, 281, 1207, 289, 1873, 12287, 19321, 1, 1,
    1, 3, 9, 57, 77, 81, 267, 45, 835, 671, 4569, 12713, 32657, 1, 1, 7,
    5, 25, 25, 73, 165, 413, 845, 529, 2987, 2051, 6155, 29133, 1, 3, 1, 13,
    3, 41, 107, 85, 429, 323, 1509, 649, 5897, 10309, 30927, 1, 1, 7, 9, 1,
    1, 105, 213, 479, 755, 1863, 1429, 5927, 9923, 18531, 1, 3, 1, 5, 9, 13,
    45, 105, 133, 117, 1837, 3019, 3809, 8713, 19865, 1, 1, 3, 7, 13, 7, 31,
    175, 209, 313, 1095, 1093, 2707, 11955, 11137, 1, 3, 7, 13, 9, 31, 79, 25,
    205, 309, 1977, 1207, 5629, 6869, 24269, 1, 1, 5, 3, 5, 43, 31, 81, 251,
    569, 2033, 299, 345, 7437, 2183, 1, 1, 5, 1, 23, 17, 107, 143, 31, 349,
    1501, 2487, 6911, 12591, 17599, 1, 1, 7, 9, 5, 13, 99, 145, 141, 947, 1587,
    3691, 6029, 13153, 13971, 1, 3, 1, 1, 21, 37, 87, 19, 195, 263, 85, 3285,
    1733, 11057, 6293, 1, 1, 3, 3, 31, 29, 97, 81, 479, 879, 2011, 1041, 8141,
    14891, 175, 1, 3, 5, 7, 13, 35, 61, 219, 103, 161, 1187, 3925, 2041, 2609,
    30195, 1, 3, 1, 13, 15, 43, 31, 163, 401, 451, 1881, 1307, 4201, 6821, 3717,
    1, 3, 7, 3, 5, 3, 85, 149, 47, 1003, 405, 1801, 6695, 897, 28005, 1,
    1, 3, 11, 19, 37, 81, 41, 315, 729, 303, 501, 7483, 10841, 12649, 1, 1,
    1, 1, 1, 51, 121, 129, 49, 511, 719, 2235, 827, 9331, 22551, 1, 3, 3,
    9, 21, 41, 47, 17, 157, 771, 867, 3685, 2387, 7409, 13889, 1, 3, 7, 7,
    11, 53, 119, 19, 289, 337, 551, 2529, 321, 2599, 11153, 1, 3, 1, 9, 7,
    33, 19, 7, 459, 729, 281, 947, 5469, 7497, 22893, 1, 1, 7, 13, 11, 41,
    91, 217, 195, 483, 1659, 1619, 4201, 15825, 3357, 1, 1, 5, 9, 9, 29, 87,
    153, 175, 967, 75, 385, 719, 12269, 28729, 1, 3, 3, 9, 13, 21, 115, 55,
    303, 853, 1735, 3763, 31, 2547, 9735, 1, 3, 3, 9, 17, 25, 109, 207, 465,
    627, 1171, 557, 2577, 13873, 30945, 1, 1, 1, 1, 27, 25, 65, 131, 373, 297,
    1561, 2481, 3491, 3175, 12527, 1, 1, 7, 11, 13, 33, 81, 81, 337, 249, 739,
    1451, 4479, 10253, 3585, 1, 1, 1, 13, 3, 9, 11, 109, 261, 663, 507, 897,
    4081, 12393, 21621, 1, 1, 1, 9, 27, 35, 13, 191, 433, 111, 1567, 851, 6303,
    2411, 25985, 1, 3, 3, 1, 7, 41, 91, 217, 203, 821, 883, 1549, 37, 1837,
    19549, 1, 3, 3, 11, 23, 49, 27, 81, 475, 251, 985, 2527, 3857, 4579, 30231,
    1, 1, 3, 11, 7, 33, 71, 207, 179, 77, 743, 375, 5649, 3165, 25063, 1,
    1, 3, 9, 25, 47, 21, 109, 375, 525, 671, 1117, 5663, 9835, 19675, 1, 3,
    7, 11, 19, 31, 9, 167, 501, 477, 1015, 109, 6233, 14131, 30015, 1, 3, 1,
    3, 25, 9, 91, 121, 373, 511, 1925, 3609, 7681, 7321, 19931, 1, 1, 3, 7,
    23, 23, 63, 225, 511, 407, 573, 587, 6877, 4747, 31503, 1, 3, 7, 3, 7,
    11, 61, 119, 149, 119, 1497, 165, 5833, 14727, 21075, 1, 3, 7, 5, 23, 27,
    113, 99, 97, 385, 563, 1745, 4321, 2201, 5707, 1, 1, 3, 15, 5, 51, 49,
    213, 111, 587, 1433, 1473, 4673, 369, 31405, 1, 1, 5, 11, 25, 49, 67, 163,
    109, 679, 975, 3711, 6627, 2273, 13451, 1, 3, 5, 3, 9, 3, 75, 123, 71,
    181, 1007, 2459, 5671, 2805, 15839, 1, 3, 5, 3, 7, 51, 49, 19, 89, 209,
    1097, 359, 2487, 12969, 24243, 1, 1, 7, 11, 1, 47, 61, 65, 161, 801, 511,
    3711, 237, 14741, 14239, 1, 3, 7, 13, 31, 25, 11, 175, 151, 79, 1749, 751,
    6129, 12139, 30837, 1, 3, 3, 11, 19, 13, 71, 75, 479, 211, 395, 1935, 7949,
    12049, 31539, 1, 3, 5, 3, 19, 9, 93, 79, 69, 1001, 673, 1963, 8047, 8023,
    8199, 1, 3, 7, 3, 11, 9, 107, 39, 319, 835, 1297, 1667, 393, 5619, 15019,
    1, 3, 1, 3, 17, 25, 71, 227, 219, 455, 29, 1503, 4207, 11523, 13077, 1,
    3, 7, 1, 11, 11, 91, 203, 483, 959, 911, 979, 4327, 15113, 23415, 1, 3,
    7, 15, 5, 63, 57, 253, 369, 609, 1831, 2895, 1025, 2567, 14017, 1, 3, 5,
    1, 19, 39, 107, 169, 107, 863, 591, 4077, 7441, 3201, 269, 1, 1, 3, 1,
    7, 45, 19, 103, 119, 539, 9, 2909, 8135, 7913, 1403, 1, 3, 1, 13, 17,
    39, 125, 57, 417, 543, 1067, 3807, 397, 11947, 7655, 1, 3, 5, 7, 31, 49,
    65, 23, 197, 777, 1669, 1373, 773, 6947, 2835, 1, 3, 7, 7, 25, 45, 115,
    31, 351, 203, 1791, 2931, 7127, 12117, 10781, 1, 1, 5, 9, 21, 61, 47, 59,
    393, 621, 811, 2321, 7801, 2255, 13513, 1, 1, 5, 9, 27, 15, 85, 53, 379,
    597, 19, 267, 5511, 8167, 14843, 1, 1, 7, 9, 19, 11, 43, 101, 309, 125,
    2023, 689, 589, 3621, 10593, 1, 3, 1, 1, 25, 57, 55, 57, 111, 743, 1773,
    2223, 6567, 7401, 14843, 1, 3, 1, 11, 17, 43, 1, 11, 155, 287, 519, 4051,
    311, 10079, 29753, 1, 3, 7, 1, 15, 33, 47, 117, 343, 667, 1489, 1985, 5105,
    11887, 29117, 1, 3, 3, 13, 9, 33, 115, 211, 7, 391, 475, 1843, 3277, 11067,
    12857, 1, 1, 7, 7, 31, 11, 17, 147, 129, 875, 845, 2999, 6395, 361, 7395,
    1, 3, 5, 1, 27, 17, 55, 115, 35, 989, 153, 77, 5713, 14653, 587, 1,
    3, 3, 5, 3, 37, 107, 57, 201, 631, 1549, 3709, 3615, 12567, 21729, 1, 3,
    3, 1, 15, 19, 21, 205, 253, 431, 915, 1057, 359, 431, 31417, 1, 3, 7,
    3, 11, 47, 107, 101, 461, 805, 1569, 1215, 765, 1547, 32531, 1, 3, 3, 3,
    21, 55, 61, 171, 75, 337, 231, 1925, 7415, 1073, 17519, 1, 3, 5, 7, 5,
    23, 39, 119, 399, 265, 601, 3487, 1129, 10731, 14795, 1, 1, 5, 3, 11, 57,
    33, 99, 283, 581, 1791, 1723, 411, 5779, 8989, 1, 3, 3, 13, 19, 33, 81,
    245, 375, 763, 77, 175, 5417, 12525, 18197, 1, 3, 7, 5, 29, 31, 59, 207,
    19, 369, 1449, 165, 6115, 15417, 14227, 1, 3, 5, 11, 7, 15, 109, 171, 179,
    541, 1907, 2545, 5633, 8039, 23495, 1, 3, 5, 7, 5, 5, 51, 5, 347, 351,
    177, 965, 6583, 3631, 26493, 1, 1, 1, 15, 21, 55, 101, 137, 165, 947, 1149,
    2615, 3709, 8231, 2033, 1, 3, 5, 1, 1, 11, 29, 5, 353, 675, 2045, 2111,
    2477, 7803, 18925, 1, 3, 3, 7, 11, 5, 43, 241, 103, 87, 1841, 841, 277,
    7647, 6953, 1, 1, 3, 9, 23, 15, 77, 199, 457, 183, 1719, 4077, 2751, 6285,
    2741, 1, 3, 5, 13, 11, 7, 119, 207, 89, 415, 1501, 2333, 2155, 13559, 9701,
    1, 1, 7, 1, 9, 29, 119, 171, 259, 849, 493, 3103, 2559, 4323, 8993, 1,
    3, 7, 15, 5, 3, 35, 29, 177, 19, 565, 2111, 4781, 13603, 10759, 1, 1,
    3, 13, 7, 41, 45, 181, 55, 575, 685, 2407, 3499, 10073, 5717, 1, 3, 5,
    11, 25, 31, 97, 247, 411, 663, 413, 771, 2325, 4849, 18605, 1, 1, 1, 1,
    11, 55, 77, 183, 131, 873, 315, 3403, 7219, 5419, 9943, 1, 1, 5, 11, 17,
    49, 125, 1, 379, 995, 1911, 9, 1201, 14599, 3237, 1, 1, 5, 7, 5, 47,
    25, 47, 93, 1009, 361, 3111, 6221, 15799, 11049, 1, 1, 1, 13, 31, 41, 27,
    119, 463, 357, 1399, 3023, 8145, 7233, 10461, 1, 3, 1, 13, 25, 1, 89, 167,
    13, 477, 989, 1109, 3279, 1893, 22091, 1, 1, 3, 11, 27, 27, 127, 85, 135,
    975, 557, 2247, 5675, 7397, 28829, 1, 1, 3, 3, 5, 57, 87, 115, 399, 189,
    497, 2525, 323, 2849, 1539, 1, 3, 5, 15, 31, 57, 49, 13, 151, 483, 1117,
    2177, 4011, 2467, 5465, 1, 3, 1, 13, 17, 49, 31, 167, 385, 183, 225, 465,
    2099, 475, 28001, 1, 1, 3, 3, 23, 39, 37, 63, 419, 95, 1217, 1147, 7599,
    985, 23455, 1, 3, 1, 5, 15, 53, 17, 221, 441, 303, 1595, 3731, 7833, 14649,
    30843, 1, 3, 3, 15, 13, 63, 29, 137, 263, 79, 591, 679, 4681, 4121, 22733,
    1, 1, 3, 3, 27, 31, 97, 191, 295, 601, 1353, 3817, 2305, 427, 5985, 1,
    3, 5, 7, 29, 27, 27, 249, 441, 415, 489, 779, 5927, 10569, 7539, 1, 3,
    7, 1, 1, 59, 21, 115, 25, 715, 697, 3585, 383, 8043, 21457, 1, 1, 7,
    1, 3, 37, 25, 239, 25, 213, 1449, 1975, 1805, 11867, 24163, 1, 3, 5, 7,
    9, 37, 95, 19, 105, 787, 249, 2501, 5073, 2677, 2871, 1, 1, 1, 7, 25,
    17, 59, 79, 467, 489, 1981, 169, 7713, 3035, 6135, 1, 1, 1, 11, 21, 41,
    75, 59, 495, 475, 803, 3117, 4999, 5153, 20541, 1, 3, 5, 5, 21, 5, 43,
    69, 167, 743, 1395, 3701, 1329, 12039, 26595, 1, 3, 5, 5, 7, 51, 7, 191,
    341, 561, 617, 803, 965, 7995, 7605, 1, 3, 5, 1, 25, 21, 21, 141, 461,
    353, 1909, 1089, 4603, 7285, 30359, 1, 3, 1, 7, 13, 17, 47, 173, 151, 1003,
    1823, 1463, 6441, 8647, 8671, 1, 1, 3, 13, 29, 29, 111, 237, 341, 693, 773,
    637, 741, 7737, 12077, 1, 1, 5, 9, 1, 27, 71, 177, 379, 289, 1659, 697,
    4765, 15945, 24463, 1, 1, 7, 7, 15, 13, 77, 59, 5, 483, 581, 2193, 7765,
    14443, 21545, 1, 3, 5, 11, 9, 17, 111, 13, 427, 405, 1765, 2029, 4989, 1995,
    18581, 1, 1, 1, 1, 17, 15, 9, 43, 177, 277, 217, 1869, 2847, 11839, 5483,
    1, 3, 5, 13, 1, 61, 87, 211, 367, 317, 1681, 3913, 2635, 5095, 2993, 1,
    3, 5, 11, 13, 47, 123, 111, 139, 193, 1575, 3549, 2113, 2997, 2319, 1, 3,
    7, 9, 17, 29, 67, 195, 455, 137, 1159, 367, 469, 4663, 13811, 1, 3, 1,
    9, 21, 55, 27, 165, 483, 487, 1199, 2989, 3195, 8847, 12465, 1, 3, 3, 5,
    13, 31, 5, 77, 283, 837, 827, 3477, 5555, 15411, 803, 1, 3, 5, 1, 5,
    47, 23, 21, 255, 193, 67, 1489, 5785, 3247, 18425, 1, 1, 5, 11, 3, 41,
    1, 37, 281, 767, 419, 1067, 749, 4985, 18525, 1, 1, 3, 7, 29, 47, 37,
    195, 359, 517, 1809, 2111, 419, 1895, 17813, 1, 3, 1, 13, 13, 61, 99, 183,
    311, 515, 1359, 1077, 835, 12945, 27707, 1, 3, 7, 15, 5, 25, 77, 7, 249,
    325, 929, 3121, 4183, 9347, 1209, 1, 1, 1, 7, 13, 59, 9, 251, 323, 479,
    1791, 555, 2591, 417, 23821, 1, 3, 7, 1, 31, 25, 43, 167, 337, 321, 1223,
    3693, 1945, 4937, 15613, 1, 3, 1, 13, 23, 27, 71, 3, 249, 427, 1259, 2493,
    3463, 8339, 2361, 1, 3, 3, 3, 25, 49, 19, 167, 189, 211, 1247, 2883, 6983,
    14573, 1021, 1, 1, 7, 11, 5, 53, 119, 115, 497, 57, 1255, 2771, 6055, 865,
    2735, 1, 1, 7, 11, 25, 63, 83, 115, 185, 615, 1135, 1577, 3097, 2955, 7667,
    1, 3, 7, 7, 19, 33, 61, 121, 339, 153, 89, 1841, 3219, 10177, 13655, 1,
    3, 5, 3, 23, 51, 111, 149, 283, 863, 1687, 813, 951, 10593, 2491, 1, 1,
    5, 7, 19, 63, 47, 73, 91, 501, 1837, 4079, 313, 14141, 7843, 1, 3, 1,
    9, 9, 15, 49, 195, 433, 289, 1109, 3929, 5589, 8943, 6325, 1, 3, 5, 13,
    13, 1, 97, 111, 379, 963, 837, 3681, 3281, 153, 9133, 1, 3, 5, 1, 19,
    37, 7, 81, 443, 555, 1885, 3123, 7667, 2579, 3521, 1, 3, 1, 1, 21, 17,
    77, 121, 157, 993, 627, 893, 7633, 6421, 7315, 1, 1, 3, 15, 25, 21, 105,
    187, 17, 239, 1745, 13, 1021, 13319, 8511, 1, 3, 1, 5, 5, 19, 67, 79,
    79, 361, 1189, 3967, 6643, 2367, 18247, 1, 3, 5, 15, 5, 15, 17, 139, 405,
    229, 1819, 369, 4011, 11369, 5271, 1, 3, 1, 3, 19, 3, 97, 121, 345, 917,
    1473, 1439, 1007, 2535, 17107, 1, 3, 7, 3, 3, 55, 117, 183, 65, 589, 107,
    3933, 6911, 6425, 28363, 1, 1, 7, 11, 25, 55, 57, 45, 217, 213, 281, 2211,
    6851, 11553, 30021, 1, 3, 7, 11, 29, 5, 1, 15, 477, 233, 677, 311, 3207,
    10527, 5543, 1, 3, 3, 15, 21, 57, 43, 9, 145, 369, 1367, 3241, 2821, 8753,
    18579, 1, 1, 3, 1, 13, 15, 99, 237, 101, 983, 657, 1169, 617, 12859, 32279,
    1, 3, 3, 3, 11, 61, 53, 39, 487, 967, 1239, 1899, 7063, 7943, 6739, 1,
    1, 7, 15, 1, 17, 27, 121, 13, 519, 1049, 3613, 2777, 11077, 28601, 1, 3,
    7, 13, 27, 47, 39, 71, 179, 899, 1871, 3783, 2029, 2653, 5711, 1, 3, 3,
    13, 15, 13, 67, 113, 321, 1017, 1615, 1575, 3879, 6113, 31893, 1, 1, 7, 3,
    25, 45, 3, 121, 275, 313, 205, 1743, 5349, 4535, 22849, 1, 1, 3, 1, 3,
    19, 21, 97, 455, 1021, 773, 1825, 6985, 9389, 21107, 1, 3, 5, 9, 5, 3,
    29, 9, 261, 575, 1111, 1983, 7629, 15743, 11009, 1, 3, 1, 3, 25, 25, 79,
    181, 417, 109, 29, 777, 4753, 6131, 4939, 1, 1, 3, 1, 1, 1, 73, 175,
    377, 531, 1829, 37, 497, 12055, 24991, 1, 1, 5, 9, 27, 7, 63, 115, 381,
    525, 1183, 1035, 5115, 2943, 2947, 1, 3, 7, 11, 13, 17, 25, 203, 479, 887,
    1465, 249, 4347, 12201, 10365, 1, 3, 5, 13, 7, 19, 11, 173, 505, 509, 1311,
    3535, 403, 13245, 25357, 1, 1, 5, 1, 11, 53, 111, 243, 509, 17, 1281, 1149,
    4561, 4705, 5783, 1, 3, 7, 5, 29, 7, 39, 75, 385, 921, 147, 3419, 237,
    12609, 10103, 1, 1, 5, 3, 5, 21, 75, 109, 451, 371, 743, 3, 5277, 10917,
    2677, 1, 3, 5, 5, 21, 29, 85, 79, 359, 607, 191, 2481, 2089, 13441, 23575,
    1, 3, 1, 11, 1, 43, 35, 119, 363, 477, 159, 3999, 7731, 15279, 20611, 1,
    1, 5, 5, 1, 9, 111, 19, 191, 899, 2039, 1153, 7893, 1627, 32325, 1, 1,
    1, 11, 1, 1, 43, 199, 329, 245, 1643, 2869, 5563, 3911, 21837, 1, 1, 5,
    15, 11, 15, 35, 153, 489, 383, 1313, 1881, 5895, 10085, 2489, 1, 3, 1, 5,
    27, 29, 15, 209, 27, 291, 77, 1759, 1565, 5477, 18701, 1, 3, 5, 5, 19,
    39, 35, 207, 345, 625, 1797, 2563, 8043, 1559, 18415, 1, 3, 1, 1, 21, 43,
    101, 89, 229, 435, 1445, 2789, 6903, 11629, 29933, 1, 1, 7, 7, 21, 23, 107,
    21, 377, 67, 1007, 2323, 2957, 6553, 3225, 1, 1, 3, 13, 3, 13, 121, 119,
    253, 391, 215, 851, 5047, 4577, 17691, 1, 3, 3, 3, 3, 37, 65, 103, 395,
    745, 1897, 3031, 2321, 5731, 4657, 1, 3, 1, 7, 17, 19, 61, 159, 459, 207,
    397, 1101, 5835, 1947, 28479, 1, 1, 7, 7, 23, 13, 63, 7, 231, 15, 855,
    375, 673, 12523, 20981, 1, 1, 7, 3, 21, 13, 109, 93, 7, 767, 477, 2301,
    3587, 6053, 427, 1, 1, 5, 5, 23, 9, 97, 175, 139, 983, 993, 2447, 2183,
    16143, 10059, 1, 1, 1, 1, 17, 61, 9, 13, 241, 825, 707, 3385, 6551, 7321,
    1825, 1, 1, 5, 1, 9, 63, 101, 33, 151, 629, 1903, 3159, 1083, 11109, 27679,
    1, 3, 1, 13, 11, 57, 123, 191, 41, 765, 1039, 2639, 3793, 1403, 20745, 1,
    3, 7, 13, 23, 45, 21, 39, 259, 531, 1205, 3537, 1927, 4357, 16185, 1, 1,
    3, 1, 5, 59, 127, 187, 67, 377, 1577, 401, 4523, 8433, 20965, 1, 3, 3,
    7, 9, 37, 9, 221, 459, 301, 1937, 283, 6973, 3545, 203, 1, 1, 3, 5,
    27, 29, 59, 47, 11, 791, 1863, 1725, 2797, 2673, 9551, 1, 1, 5, 3, 9,
    17, 75, 167, 31, 879, 1841, 801, 5659, 10199, 8639, 1, 3, 3, 13, 27, 35,
    99, 97, 153, 987, 1847, 2209, 8139, 647, 30087, 1, 1, 5, 5, 3, 9, 85,
    105, 503, 279, 1919, 1407, 8161, 3601, 26729, 1, 3, 7, 1, 23, 37, 71, 131,
    315, 401, 389, 547, 7305, 581, 14619, 1, 1, 7, 5, 3, 47, 125, 87, 255,
    397, 1561, 433, 7057, 4595, 17785, 1, 1, 5, 7, 17, 59, 107, 141, 437, 335,
    397, 3913, 3777, 8625, 25539, 1, 1, 5, 1, 9, 21, 43, 13, 75, 667, 287,
    347, 1503, 15905, 17281, 1, 1, 1, 5, 7, 1, 25, 91, 337, 909, 1555, 1719,
    1169, 8537, 8859, 1, 1, 3, 15, 11, 17, 3, 67, 305, 565, 2023, 1175, 1135,
    4453, 21431, 1, 3, 1, 9, 5, 17, 23, 41, 317, 63, 775, 3699, 3141, 12917,
    1847, 1, 1, 5, 5, 13, 41, 27, 229, 113, 223, 1411, 2733, 7769, 831, 20447,
    1, 1, 3, 13, 9, 15, 9, 235, 501, 709, 643, 79, 2163, 10511, 8763, 1,
    3, 3, 7, 13, 3, 61, 173, 507, 619, 1169, 3133, 533, 7989, 14071, 1, 1,
    5, 11, 9, 11, 63, 147, 73, 501, 371, 489, 5689, 3289, 23459, 1, 1, 1,
    1, 23, 21, 83, 127, 507, 395, 445, 4021, 7401, 14939, 781, 1, 1, 5, 11,
    21, 15, 57, 9, 223, 603, 271, 2277, 7509, 5183, 9645, 1, 3, 1, 5, 3,
    37, 59, 75, 325, 481, 1503, 2891, 3333, 5251, 24987, 1, 1, 7, 5, 25, 3,
    95, 55, 437, 809, 1459, 957, 4037, 4139, 22307, 1, 3, 5, 5, 7, 43, 111,
    183, 321, 475, 633, 3183, 2885, 2083, 2515, 1, 1, 3, 3, 1, 1, 9, 159,
    257, 257, 431, 3433, 6191, 15379, 29129, 1, 1, 3, 9, 19, 7, 69, 119, 391,
    381, 1355, 877, 245, 5287, 451, 1, 3, 7, 3, 15, 27, 47, 19, 213, 213,
    1435, 3835, 3639, 16037, 32613, 1, 3, 5, 15, 19, 9, 115, 1, 319, 893, 29,
    3363, 2491, 8091, 29797, 1, 3, 3, 11, 19, 9, 111, 181, 37, 819, 843, 3591,
    3617, 11209, 1731, 1, 3, 5, 7, 17, 31, 107, 147, 469, 409, 1391, 927, 4483,
    15859, 11231, 1, 3, 7, 15, 17, 37, 37, 165, 289, 857, 243, 3803, 8131, 7409,
    12197, 1, 1, 1, 9, 17, 61, 75, 177, 63, 835, 731, 2015, 7287, 11803, 11595,
    1, 3, 1, 15, 17, 43, 33, 151, 259, 951, 73, 2229, 4851, 7875, 21497, 1,
    3, 7, 11, 25, 5, 91, 15, 231, 729, 865, 545, 3043, 8925, 9111, 1, 3,
    5, 3, 27, 13, 67, 175, 135, 999, 997, 2237, 617, 14805, 31347, 1, 3, 1,
    7, 5, 37, 59, 155, 11, 401, 421, 305, 4727, 7087, 27231, 1, 3, 1, 7,
    7, 39, 105, 215, 241, 959, 1065, 2045, 5807, 1219, 12545, 1, 1, 3, 5, 3,
    61, 3, 141, 363, 677, 1149, 1143, 1697, 11339, 10503, 1, 1, 5, 5, 15, 1,
    37, 183, 279, 885, 571, 1537, 5489, 12111, 4867, 1, 1, 3, 15, 7, 49, 49,
    37, 323, 407, 1555, 1209, 8159, 12171, 4457, 1, 3, 3, 9, 9, 17, 111, 19,
    353, 273, 1271, 975, 3935, 9689, 18355, 1, 3, 1, 7, 17, 37, 21, 127, 115,
    19, 771, 667, 4219, 1829, 18899, 1, 3, 3, 7, 3, 43, 67, 43, 119, 319,
    1165, 2759, 5389, 10891, 16529, 1, 3, 3, 11, 29, 17, 53, 137, 329, 71, 1499,
    3381, 3533, 15551, 30561, 1, 3, 3, 3, 5, 61, 45, 109, 389, 505, 1803, 1845,
    2165, 267, 14573, 1, 3, 7, 5, 25, 55, 47, 17, 421, 711, 613, 1537, 5255,
    13437, 3425, 1, 1, 3, 7, 25, 51, 25, 67, 409, 309, 951, 131, 2781, 7445,
    1487, 1, 3, 7, 9, 27, 21, 45, 73, 465, 977, 1327, 837, 1311, 11167, 21265,
    1, 1, 3, 11, 17, 61, 27, 83, 271, 245, 187, 1947, 7989, 13633, 27023, 1,
    3, 1, 9, 17, 7, 35, 195, 465, 745, 1833, 3231, 3061, 1631, 9081, 1, 3,
    3, 1, 5, 39, 83, 13, 199, 821, 839, 3509, 3857, 12389, 28771, 1, 3, 3,
    3, 5, 15, 91, 199, 239, 97, 1699, 549, 4735, 15127, 7407, 1, 3, 7, 9,
    13, 1, 7, 109, 93, 733, 1221, 3361, 7765, 11317, 431, 1, 3, 7, 15, 31,
    23, 17, 97, 477, 497, 1123, 2731, 3157, 5217, 23901, 1, 1, 5, 1, 1, 41,
    63, 11, 507, 55, 1927, 2193, 6177, 3013, 24095, 1, 1, 7, 3, 25, 57, 113,
    99, 383, 831, 1455, 2603, 4619, 9495, 5073, 1, 1, 5, 11, 25, 35, 67, 83,
    125, 909, 227, 1337, 3729, 7623, 27899, 1, 1, 1, 13, 15, 23, 117, 73, 285,
    341, 241, 3569, 7401, 16185, 18571, 1, 1, 7, 11, 23, 9, 123, 93, 287, 881,
    1857, 195, 3999, 81, 26173, 1, 1, 3, 9, 21, 27, 57, 251, 321, 109, 811,
    3665, 4575, 15971, 24111, 1, 1, 7, 11, 11, 53, 71, 11, 67, 433, 549, 3121,
    193, 13099, 6635, 1, 3, 1, 9, 1, 39, 75, 163, 259, 523, 941, 3025, 3757,
    2589, 15403, 1, 3, 5, 1, 1, 15, 47, 83, 33, 881, 215, 1717, 2255, 7349,
    27345, 1, 1, 3, 11, 15, 55, 95, 125, 511, 829, 1021, 2095, 1107, 13071, 29279,
    1, 1, 5, 11, 15, 63, 15, 123, 233, 351, 1687, 3383, 287, 2721, 20109, 1,
    1, 1, 7, 7, 19, 103, 29, 349, 875, 1631, 119, 6095, 7623, 4063, 1, 3,
    5, 5, 21, 41, 45, 91, 445, 193, 1077, 3849, 163, 15123, 9677, 1, 1, 3,
    1, 7, 39, 127, 75, 53, 233, 531, 635, 8055, 8789, 6205, 1, 3, 7, 5,
    21, 19, 53, 197, 207, 791, 1193, 365, 5747, 12155, 30361, 1, 1, 1, 15, 23,
    39, 95, 75, 239, 639, 253, 3329, 6017, 6647, 16381, 1, 3, 3, 7, 5, 37,
    85, 45, 473, 299, 767, 3795, 6895, 16255, 20411, 1, 1, 5, 15, 31, 33, 83,
    79, 341, 11, 561, 2051, 485, 8653, 7751, 1, 1, 1, 1, 9, 39, 127, 115,
    55, 281, 1439, 2527, 3975, 9037, 32221, 1, 1, 7, 5, 27, 45, 117, 67, 471,
    101, 927, 2391, 4935, 14477, 17515, 1, 3, 1, 1, 5, 1, 45, 93, 169, 181,
    609, 3489, 4779, 11641, 16535, 1, 3, 3, 5, 1, 53, 21, 169, 199, 769, 813,
    1799, 5199, 13499, 25677, 1, 1, 3, 7, 13, 43, 127, 169, 503, 935, 1315, 1449,
    1497, 6173, 20437, 1, 1, 5, 3, 19, 31, 83, 167, 23, 1019, 1223, 2705, 6471,
    11619, 10589, 1, 1, 5, 3, 7, 39, 117, 67, 159, 301, 553, 2005, 5455, 10049,
    3441, 1, 3, 5, 5, 7, 45, 59, 73, 105, 507, 387, 2697, 5679, 9825, 7689,
    1, 1, 7, 13, 3, 35, 93, 129, 273, 165, 1615, 3631, 1391, 10631, 27157, 1,
    1, 5, 5, 9, 25, 23, 101, 1, 741, 1539, 1893, 1573, 10037, 3079, 1, 1,
    1, 13, 29, 63, 119, 83, 239, 993, 1663, 391, 1583, 11393, 8361, 1, 1, 5,
    5, 11, 55, 41, 155, 439, 631, 1949, 1529, 5249, 883, 25125, 1, 3, 1, 1,
    19, 15, 35, 175, 33, 199, 1979, 4025, 1543, 6451, 11485, 1, 3, 1, 1, 17,
    63, 127, 191, 463, 973, 1509, 1925, 3469, 15967, 10661, 1, 1, 1, 11, 7, 57,
    111, 127, 475, 625, 553, 1941, 2923, 5203, 16915, 1, 1, 1, 5, 15, 23, 61,
    93, 251, 865, 2011, 2607, 1691, 10359, 4667, 1, 3, 1, 13, 29, 19, 5, 101,
    205, 515, 1953, 3543, 929, 8745, 1773, 1, 1, 7, 15, 19, 29, 127, 153, 383,
    799, 639, 3271, 6487, 2989, 8965, 1, 1, 5, 15, 7, 7, 73, 239, 117, 261,
    1147, 3761, 1531, 15613, 13545, 1, 3, 1, 11, 17, 29, 53, 161, 47, 933, 1763,
    1543, 3661, 9369, 14239, 1, 1, 5, 9, 13, 47, 19, 139, 115, 239, 799, 2211,
    6205, 5273, 31205, 1, 1, 5, 9, 29, 53, 121, 3, 89, 253, 1201, 89, 297,
    11561, 9655, 1, 1, 7, 5, 25, 43, 25, 165, 135, 789, 891, 1711, 711, 269,
    17895, 1, 3, 1, 3, 27, 57, 63, 89, 33, 897, 691, 3129, 7253, 2041, 14341,
    1, 1, 1, 1, 5, 25, 21, 65, 383, 687, 57, 2267, 1837, 7091, 5941, 1,
    3, 7, 13, 9, 37, 75, 113, 243, 419, 387, 3479, 3295, 3659, 29215, 1, 1,
    1, 13, 1, 39, 97, 237, 509, 51, 1239, 1889, 915, 15313, 3487, 1, 1, 3,
    1, 1, 5, 81, 153, 83, 977, 1667, 571, 1161, 9347, 32353, 1, 1, 7, 5,
    11, 13, 45, 91, 265, 815, 1141, 1187, 41, 15723, 5573, 1, 1, 7, 13, 31,
    29, 27, 23, 163, 605, 1457, 37, 2075, 4581, 10571, 1, 1, 1, 11, 13, 31,
    119, 241, 379, 427, 333, 1299, 3303, 13049, 15233, 1, 3, 7, 13, 23, 35, 69,
    195, 149, 273, 41, 289, 3173, 13177, 10865, 1, 3, 3, 7, 1, 5, 85, 245,
    417, 887, 1821, 3623, 1591, 15871, 10837, 1, 1, 3, 13, 19, 55, 11, 65, 227,
    273, 1065, 1937, 5197, 7695, 24827, 1, 1, 3, 15, 11, 55, 11, 49, 141, 607,
    509, 3785, 8009, 4127, 4757, 1, 1, 3, 11, 31, 23, 33, 241, 347, 261, 1609,
    3177, 4065, 13767, 24607, 1, 3, 7, 13, 13, 7, 73, 63, 493, 607, 869, 1599,
    7725, 2405, 12945, 1, 3, 1, 9, 9, 57, 85, 173, 259, 749, 1661, 2911, 7833,
    7577, 21209, 1, 3, 5, 7, 7, 27, 61, 91, 417, 369, 1181, 1385, 2991, 12503,
    13073, 1, 3, 5, 13, 17, 11, 51, 101, 45, 45, 1247, 4069, 3079, 9081, 12443,
    1, 1, 3, 7, 13, 57, 63, 43, 451, 743, 1045, 2967, 6437, 93, 4589, 1,
    3, 7, 3, 25, 17, 113, 89, 457, 261, 827, 197, 7177, 4135, 19733, 1, 3,
    5, 9, 23, 59, 29, 207, 19, 623, 101, 1675, 579, 3255, 16259, 1, 1, 1,
    1, 21, 23, 103, 123, 61, 233, 71, 897, 6147, 3335, 1027, 1, 3, 5, 13,
    9, 11, 101, 55, 247, 285, 1387, 2063, 6853, 409, 10715, 1, 1, 7, 7, 11,
    41, 5, 157, 325, 975, 1403, 3187, 4107, 4093, 18165, 1, 3, 1, 3, 25, 15,
    69, 93, 87, 711, 1699, 733, 7703, 2191, 12293, 1, 3, 3, 1, 21, 41, 31,
    229, 325, 507, 2019, 2225, 1733, 4447, 32477, 1, 3, 1, 5, 23, 41, 19, 1,
    467, 315, 1513, 1671, 4159, 12477, 6199, 1, 1, 1, 11, 27, 61, 35, 115, 215,
    979, 1887, 1913, 689, 3847, 11451, 1, 3, 3, 7, 25, 29, 65, 233, 433, 113,
    1031, 2455, 6743, 5227, 7207, 1, 1, 3, 9, 5, 9, 85, 103, 185, 699, 663,
    441, 8013, 1227, 12875, 1, 3, 5, 11, 9, 59, 35, 223, 131, 409, 125, 3437,
    2015, 217, 16351, 1, 3, 7, 3, 9, 27, 43, 211, 365, 855, 1249, 3127, 3611,
    9339, 16083, 1, 1, 1, 9, 29, 11, 61, 27, 195, 963, 1905, 1679, 1811, 7,
    27243, 1, 3, 7, 15, 3, 41, 21, 31, 461, 3, 1033, 459, 1831, 12289, 19645,
    1, 1, 7, 7, 15, 7, 25, 207, 37, 177, 973, 3207, 5329, 8541, 7929, 1,
    1, 5, 1, 29, 35, 77, 251, 429, 681, 391, 3789, 5953, 13339, 16991, 1, 1,
    5, 5, 5, 39, 21, 131, 511, 11, 921, 3073, 3239, 561, 28595, 1, 3, 1,
    11, 3, 11, 71, 231, 439, 523, 209, 3213, 211, 13449, 23311, 1, 1, 1, 5,
    31, 27, 59, 161, 71, 619, 1643, 3687, 753, 7443, 25743, 1, 3, 7, 11, 13,
    49, 33, 223, 443, 463, 1833, 3757, 299, 9633, 16339, 1, 3, 7, 1, 21, 57,
    63, 31, 491, 53, 75, 3059, 3013, 965, 6209, 1, 1, 5, 9, 3, 45, 63,
    25, 511, 501, 1003, 1499, 887, 5583, 6329, 1, 3, 1, 1, 9, 11, 49, 225,
    511, 563, 495, 1697, 7943, 13561, 16159, 1, 3, 7, 9, 11, 1, 95, 255, 437,
    979, 1669, 179, 2189, 14431, 23919, 1, 3, 1, 13, 13, 5, 23, 233, 327, 903,
    167, 797, 5205, 2203, 22137, 1, 1, 7, 11, 25, 63, 43, 113, 251, 39, 163,
    1631, 2731, 12241, 32567, 1, 1, 5, 11, 3, 35, 9, 21, 477, 139, 1107, 1975,
    6883, 6651, 20847, 1, 3, 5, 13, 25, 39, 89, 217, 95, 457, 1741, 2725, 5391,
    13381, 2411, 1, 3, 5, 5, 1, 27, 9, 51, 3, 915, 1803, 931, 7651, 6497,
    6635, 1, 3, 7, 9, 21, 53, 9, 151, 155, 827, 453, 4071, 3153, 2711, 25143,
    1, 1, 3, 7, 21, 15, 5, 169, 27, 479, 911, 3949, 2819, 387, 2919, 1,
    1, 3, 3, 27, 59, 27, 225, 507, 403, 1333, 747, 7731, 13007, 16283, 1, 1,
    3, 13, 29, 11, 65, 169, 197, 209, 1703, 3503, 2661, 14703, 28529, 1, 1, 3,
    13, 17, 63, 73, 11, 495, 603, 687, 2773, 3955, 12761, 13899, 1, 1, 1, 11,
    7, 31, 55, 133, 197, 619, 1747, 3531, 1157, 7143, 19347, 1, 3, 1, 13, 15,
    47, 5, 117, 329, 169, 2023, 901, 397, 15681, 8931, 1, 1, 5, 1, 29, 5,
    79, 73, 463, 125, 1539, 2149, 4353, 15123, 27853, 1, 1, 5, 7, 13, 55, 59,
    151, 105, 79, 1023, 1839, 3889, 3843, 6129, 1, 1, 3, 15, 9, 15, 109, 63,
    95, 573, 385, 3773, 535, 11307, 4719, 1, 3, 7, 11, 9, 9, 91, 245, 403,
    841, 1771, 2121, 6927, 1029, 26767, 1, 3, 1, 11, 25, 55, 21, 173, 327, 327,
    1747, 1771, 6829, 12155, 29375, 1, 3, 7, 11, 17, 15, 31, 189, 179, 849, 1895,
    3333, 7385, 4473, 18003, 1, 1, 7, 3, 29, 37, 11, 81, 181, 197, 1231, 167,
    6611, 3437, 8857, 1, 3, 3, 15, 17, 53, 63, 51, 497, 725, 917, 2661, 2013,
    10887, 29145, 1, 1, 3, 11, 15, 53, 75, 209, 429, 927, 1867, 677, 5305, 15901,
    5079, 1, 1, 1, 5, 19, 57, 105, 169, 113, 701, 1123, 2203, 285, 12447, 18301,
    1, 3, 1, 7, 25, 53, 51, 35, 245, 173, 1047, 1905, 1773, 10699, 32057, 1,
    1, 1, 7, 31, 33, 15, 233, 105, 943, 201, 2681, 3121, 14145, 23741, 1, 1,
    1, 1, 27, 61, 121, 199, 437, 717, 1481, 2421, 6681, 2457, 4411, 1, 1, 1,
    13, 31, 9, 93, 149, 379, 639, 1889, 1385, 3513, 10105, 13933, 1, 1, 7, 7,
    9, 37, 41, 221, 323, 989, 445, 3083, 6855, 11577, 29849, 1, 1, 7, 7, 27,
    55, 53, 171, 87, 529, 1555, 2065, 1685, 1953, 20561, 1, 3, 7, 13, 1, 15,
    11, 91, 81, 217, 7, 1687, 493, 13345, 14009, 1, 3, 1, 9, 5, 31, 89,
    33, 39, 747, 753, 2193, 1937, 9685, 17689, 1, 1, 3, 7, 13, 61, 101, 89,
    305, 123, 1773, 411, 595, 10113, 4725, 1, 1, 3, 15, 3, 13, 25, 205, 343,
    869, 115, 2413, 4531, 13185, 15699, 1, 3, 5, 3, 25, 37, 71, 125, 85, 995,
    769, 2737, 2495, 7571, 26825, 1, 3, 3, 11, 21, 3, 109, 175, 479, 605, 569,
    2753, 2927, 10529, 28345, 1, 3, 7, 1, 5, 57, 75, 79, 383, 637, 1411, 3955,
    5535, 9403, 10463, 1, 1, 7, 5, 27, 25, 67, 35, 95, 25, 1585, 1725, 7003,
    2261, 3575, 1, 3, 7, 13, 11, 11, 85, 141, 389, 903, 995, 2625, 7163, 7229,
    18205, 1, 1, 3, 5, 3, 53, 69, 141, 213, 675, 1799, 235, 3433, 2305, 29607,
    1, 1, 7, 5, 21, 45, 119, 229, 493, 691, 1551, 3801, 663, 9693, 5255, 1,
    3, 7, 11, 11, 37, 69, 65, 163, 61, 1567, 1879, 1853, 11099, 4523, 1, 1,
    3, 9, 5, 43, 75, 93, 81, 555, 803, 129, 4391, 3025, 1013, 1, 1, 5,
    5, 9, 49, 69, 185, 441, 567, 203, 2641, 4169, 15585, 10963, 1, 3, 7, 9,
    9, 35, 121, 117, 509, 93, 1381, 1329, 751, 2351, 11079, 1, 3, 5, 15, 5,
    61, 117, 83, 383, 961, 779, 1499, 4695, 3679, 20383, 1, 3, 5, 5, 21, 63,
    105, 15, 297, 923, 1867, 1667, 3523, 12387, 14977, 1, 1, 5, 5, 7, 37, 123,
    161, 343, 959, 1807, 1695, 6121, 8415, 5373, 1, 3, 5, 15, 29, 51, 107, 151,
    5, 715, 3, 3005, 1917, 12243, 13903, 1, 3, 5, 11, 25, 29, 125, 165, 57,
    729, 1187, 2273, 2869, 13149, 2831, 1, 1, 7, 15, 1, 15, 37, 15, 489, 879,
    89, 2399, 547, 1959, 20073, 1, 3, 5, 13, 5, 43, 101, 27, 425, 531, 1681,
    3301, 5741, 7005, 6607, 1, 1, 3, 13, 17, 53, 61, 165, 375, 7, 761, 1891,
    1253, 2431, 15273, 1, 1, 1, 5, 13, 23, 27, 229, 215, 729, 9, 779, 3583,
    9109, 19059, 1, 1, 3, 9, 3, 45, 99, 193, 203, 57, 147, 3953, 5263, 14641,
    24729, 1, 3, 7, 3, 11, 49, 57, 121, 413, 293, 1251, 3791, 1803, 12549, 3743,
    1, 3, 7, 13, 19, 55, 85, 1, 169, 539, 1565, 2157, 4493, 9169, 27583, 1,
    1, 7, 7, 19, 59, 95, 171, 471, 881, 663, 1489, 8013, 8981, 11443, 1, 1,
    3, 7, 17, 59, 25, 115, 439, 967, 1939, 905, 4141, 4177, 24827, 1, 3, 5,
    3, 29, 17, 23, 241, 49, 815, 1409, 3997, 1073, 2331, 455, 1, 1, 5, 13,
    27, 53, 51, 67, 405, 853, 1229, 2647, 4817, 521, 14343, 1, 3, 3, 13, 1,
    55, 83, 15, 41, 327, 1501, 1967, 5787, 3557, 7461, 1, 3, 5, 1, 23, 43,
    93, 179, 373, 173, 1625, 487, 6973, 12479, 24659, 1, 3, 7, 15, 3, 27, 9,
    69, 501, 287, 945, 681, 3667, 7499, 24259, 1, 3, 7, 3, 21, 55, 55, 13,
    191, 25, 1339, 185, 4345, 13649, 17793, 1, 3, 3, 1, 9, 13, 95, 127, 305,
    961, 141, 3071, 683, 2141, 13757, 1, 1, 5, 5, 21, 59, 83, 39, 137, 259,
    689, 339, 105, 147, 26143, 1, 1, 5, 7, 31, 21, 121, 45, 103, 507, 1243,
    3325, 441, 6743, 31937, 1, 1, 5, 3, 7, 35, 5, 117, 433, 47, 261, 2405,
    3361, 4361, 14397, 1, 3, 7, 9, 19, 7, 19, 129, 79, 247, 35, 1483, 285,
    4923, 14255, 1, 3, 3, 11, 13, 3, 117, 169, 3, 527, 1295, 295, 2317, 5391,
    27073, 1, 1, 7, 3, 3, 53, 9, 175, 157, 917, 1297, 1917, 5575, 16183, 20165,
    1, 3, 3, 9, 25, 47, 61, 71, 129, 923, 367, 1623, 4281, 11241, 14759, 1,
    3, 7, 11, 23, 29, 53, 135, 381, 943, 1611, 1609, 5897, 393, 24647, 1, 1,
    7, 1, 3, 55, 5, 191, 305, 385, 1383, 913, 1017, 6463, 32323, 1, 1, 5,
    9, 3, 57, 113, 189, 41, 413, 1685, 2145, 6071, 7229, 11413, 1, 3, 3, 9,
    21, 5, 95, 87, 247, 175, 1265, 83, 511, 2821, 9881, 1, 3, 1, 3, 31,
    41, 127, 115, 457, 809, 2017, 3979, 3425, 159, 15903, 1, 1, 7, 7, 29, 9,
    85, 109, 299, 607, 1991, 3717, 4593, 8529, 10759, 1, 3, 1, 9, 15, 49, 123,
    61, 49, 413, 1599, 3697, 2481, 739, 1641, 1, 3, 3, 1, 13, 55, 35, 217,
    79, 167, 1215, 2687, 7303, 10331, 29985, 1, 1, 1, 9, 29, 29, 37, 177, 63,
    515, 1551, 1053, 893, 6831, 18039, 1, 1, 7, 5, 25, 47, 57, 209, 345, 805,
    999, 307, 3465, 13411, 17721, 1, 1, 5, 11, 3, 63, 95, 243, 163, 923, 1181,
    3319, 5903, 8195, 21217, 1, 3, 7, 11, 15, 51, 75, 237, 25, 907, 395, 3721,
    3371, 12425, 3795, 1, 1, 1, 11, 15, 61, 127, 39, 359, 381, 1879, 2605, 7511,
    4329, 28251, 1, 3, 5, 9, 11, 61, 1, 215, 503, 939, 419, 3353, 3013, 5391,
    12567, 1, 3, 1, 9, 7, 57, 123, 5, 473, 931, 759, 571, 2407, 13057, 7443,
    1, 1, 3, 7, 31, 17, 55, 181, 359, 913, 271, 935, 5911, 9767, 23, 1,
    1, 1, 15, 1, 35, 93, 233, 109, 135, 1793, 2453, 6547, 15435, 16227, 1, 3,
    1, 13, 5, 37, 87, 51, 165, 455, 621, 881, 2377, 7977, 29763, 1, 1, 3,
    13, 31, 3, 119, 113, 141, 179, 621, 677, 1047, 2405, 28777, 1, 3, 1, 1,
    11, 25, 37, 15, 117, 509, 853, 747, 3065, 11569, 11731, 1, 1, 5, 11, 31,
    9, 27, 219, 71, 919, 1553, 3067, 6315, 17, 18511, 1, 1, 7, 1, 27, 39,
    111, 127, 315, 671, 845, 179, 8129, 15409, 21565, 1, 1, 5, 13, 31, 37, 105,
    67, 37, 725, 1947, 2743, 6241, 5465, 15025, 1, 1, 7, 13, 7, 63, 63, 209,
    431, 171, 845, 2067, 4829, 5627, 32333, 1, 3, 7, 15, 7, 61, 105, 35, 113,
    551, 1227, 867, 5907, 4389, 13281, 1, 1, 1, 13, 31, 13, 123, 255, 497, 365,
    921, 2009, 5365, 15443, 23455, 1, 1, 5, 15, 5, 45, 91, 199, 417, 557, 827,
    1911, 4173, 8705, 19437, 1, 3, 3, 9, 31, 51, 69, 247, 407, 791, 1811, 1127,
    6775, 8343, 19723, 1, 3, 3, 3, 21, 43, 71, 191, 339, 219, 1809, 3735, 151,
    3743, 11803, 1, 1, 7, 3, 13, 21, 1, 233, 395, 335, 1929, 547, 2939, 9205,
    22309, 1, 1, 1, 13, 7, 5, 97, 189, 195, 191, 833, 269, 3255, 15301, 11593,
    1, 1, 3, 1, 31, 35, 53, 193, 143, 241, 763, 3221, 3217, 14915, 5603, 1,
    3, 5, 15, 3, 15, 47, 171, 349, 995, 1803, 2123, 8009, 10339, 1827, 1, 1,
    1, 3, 11, 37, 125, 149, 261, 507, 1603, 683, 137, 353, 26313, 1, 3, 3,
    11, 5, 19, 7, 97, 257, 439, 825, 265, 2493, 5567, 8575, 1, 1, 5, 5,
    9, 25, 101, 207, 345, 823, 1787, 2449, 4377, 10581, 19169, 1, 3, 1, 9, 19,
    5, 15, 19, 405, 665, 715, 3743, 23, 5061, 21145, 1, 1, 3, 9, 11, 7,
    73, 39, 77, 763, 1251, 3533, 6379, 16101, 8719, 1, 3, 3, 1, 15, 55, 89,
    249, 475, 641, 511, 111, 5797, 5627, 2187, 1, 1, 5, 5, 7, 27, 117, 153,
    387, 295, 309, 3293, 5197, 8359, 16643, 1, 3, 3, 3, 5, 35, 45, 159, 495,
    311, 463, 1249, 5163, 7939, 21405, 1, 3, 3, 7, 31, 39, 125, 167, 43, 41,
    589, 3329, 5511, 7983, 17329, 1, 1, 3, 13, 1, 17, 43, 95, 465, 587, 1189,
    2629, 7613, 15115, 22299, 1, 3, 1, 9, 21, 57, 73, 241, 149, 531, 827, 731,
    7431, 14375, 16307, 1, 1, 1, 7, 7, 25, 113, 115, 381, 951, 811, 305, 935,
    2927, 18755, 1, 3, 5, 13, 11, 53, 91, 197, 497, 9, 1009, 25, 2473, 2467,
    8827, 1, 3, 3, 7, 23, 23, 15, 3, 131, 591, 379, 1227, 3479, 8409, 20177,
    1, 3, 5, 9, 17, 47, 91, 107, 17, 175, 1181, 2097, 457, 10253, 24291, 1,
    1, 3, 5, 31, 57, 25, 117, 97, 707, 1875, 4059, 6997, 3533, 27781, 1, 1,
    7, 11, 7, 7, 53, 137, 255, 1017, 501, 847, 4569, 3665, 21377, 1, 1, 3,
    9, 19, 57, 39, 213, 67, 221, 149, 357, 1137, 12625, 13945, 1, 1, 7, 11,
    19, 53, 75, 67, 71, 811, 837, 3399, 3993, 3119, 13459, 1, 1, 1, 3, 29,
    7, 77, 249, 97, 159, 1097, 161, 1649, 4663, 8635, 1, 1, 5, 9, 9, 11,
    69, 151, 419, 11, 1457, 2357, 7259, 4059, 6189, 1, 3, 5, 7, 29, 1, 109,
    103, 129, 561, 1629, 237, 643, 14519, 22839, 1, 3, 3, 15, 17, 25, 109, 213,
    253, 427, 849, 4053, 3845, 8935, 21233, 1, 3, 1, 3, 15, 53, 81, 127, 131,
    523, 1303, 451, 3363, 14105, 28881, 1, 1, 1, 13, 1, 29, 105, 75, 235, 407,
    1555, 1247, 2329, 1259, 8653, 1, 1, 1, 3, 31, 45, 9, 199, 315, 375, 205,
    3157, 4247, 11961, 4039, 1, 3, 3, 5, 3, 39, 13, 125, 103, 359, 287, 3529,
    2015, 3187, 26261, 1, 3, 3, 7, 3, 63, 81, 157, 169, 1005, 889, 2271, 7773,
    8739, 11171, 1, 1, 1, 3, 11, 63, 61, 67, 1, 919, 349, 1645, 8155, 219,
    357, 1, 3, 7, 9, 17, 39, 1, 253, 497, 409, 631, 1425, 7763, 3239, 5405,
    1, 3, 3, 3, 21, 57, 97, 231, 445, 417, 1567, 739, 6413, 13499, 16947, 1,
    1, 1, 3, 13, 59, 17, 15, 75, 197, 267, 1295, 3867, 6607, 31623, 1, 1,
    3, 5, 27, 1, 83, 97, 381, 931, 1133, 4091, 341, 7105, 28761, 1, 3, 3,
    11, 3, 39, 49, 237, 437, 353, 321, 3609, 4555, 8987, 28727, 1, 3, 1, 13,
    15, 49, 101, 255, 409, 231, 355, 2333, 7277, 2549, 1613, 1, 3, 3, 13, 11,
    49, 99, 201, 57, 705, 413, 2791, 5947, 8533, 22155, 1, 3, 1, 15, 13, 51,
    91, 47, 165, 995, 1293, 3601, 5841, 4671, 27379, 1, 1, 3, 11, 15, 47, 43,
    97, 151, 75, 1229, 2525, 5085, 10969, 5195, 1, 1, 5, 3, 7, 15, 65, 161,
    423, 773, 291, 1081, 2127, 15861, 16051, 1, 3, 1, 1, 11, 47, 47, 157, 369,
    889, 221, 83, 3165, 12911, 20687, 1, 1, 1, 9, 23, 63, 97, 191, 185, 863,
    1611, 241, 4177, 14965, 22205, 1, 3, 3, 15, 13, 11, 85, 109, 13, 401, 1365,
    2637, 2119, 14673, 28813, 1, 1, 5, 7, 23, 13, 11, 9, 105, 891, 1511, 3969,
    2097, 2089, 18535, 1, 1, 3, 15, 3, 23, 67, 197, 309, 883, 1635, 359, 5023,
    10693, 28537, 1, 1, 3, 1, 1, 25, 63, 233, 445, 665, 1971, 1713, 1827, 14269,
    19539, 1, 3, 3, 13, 25, 27, 79, 131, 441, 465, 613, 2027, 2521, 11109, 14443,
    1, 3, 5, 13, 27, 1, 27, 123, 405, 567, 159, 2319, 5625, 4643, 1185, 1,
    1, 7, 15, 15, 55, 21, 105, 353, 431, 955, 3341, 2891, 13667, 17787, 1, 1,
    1, 5, 25, 61, 11, 251, 459, 985, 1285, 811, 4279, 4579, 14313, 1, 1, 3,
    15, 13, 1, 63, 103, 113, 91, 1241, 2513, 767, 9037, 29591, 1, 3, 7, 15,
    31, 39, 87, 215, 421, 875, 913, 3593, 2215, 4889, 14595, 1, 3, 3, 3, 17,
    61, 99, 13, 475, 331, 541, 2363, 5697, 14867, 11483, 1, 1, 5, 3, 17, 15,
    7, 217, 219, 327, 1775, 939, 3953, 2393, 28241, 1, 1, 3, 3, 11, 57, 75,
    139, 123, 607, 87, 539, 4955, 6533, 31827, 1, 3, 3, 15, 15, 15, 43, 127,
    485, 1009, 1201, 919, 761, 385, 29889, 1, 3, 1, 3, 3, 53, 47, 101, 463,
    899, 523, 1009, 3541, 11191, 2257, 1, 1, 1, 3, 31, 43, 9, 39, 201, 469,
    839, 2509, 5645, 2861, 25533, 1, 3, 5, 7, 19, 27, 69, 45, 367, 267, 953,
    3711, 603, 3511, 13419, 1, 1, 3, 1, 25, 39, 33, 89, 459, 573, 1643, 3291,
    2371, 1749, 20693, 1, 1, 1, 13, 11, 29, 103, 213, 13, 219, 2023, 1327, 4315,
    13933, 19559, 1, 1, 5, 3, 17, 49, 11, 241, 227, 157, 745, 1377, 5739, 14285,
    26107, 1, 1, 7, 3, 23, 11, 5, 213, 405, 415, 1911, 3763, 3403, 16079, 10957,
    1, 3, 5, 15, 31, 27, 79, 153, 403, 747, 269, 4039, 2791, 4711, 501, 1,
    1, 7, 15, 1, 29, 105, 29, 131, 913, 265, 871, 2899, 11547, 20351, 1, 1,
    1, 3, 9, 47, 55, 121, 487, 349, 233, 1657, 3015, 12345, 2213, 1, 1, 7,
    9, 1, 45, 49, 241, 81, 673, 1933, 3203, 7433, 14745, 5811, 1, 1, 7, 5,
    31, 31, 97, 97, 377, 795, 417, 3851, 4725, 9803, 16785, 1, 3, 1, 1, 9,
    5, 45, 141, 361, 523, 297, 2535, 4433, 16353, 28191, 1, 3, 3, 7, 9, 29,
    47, 19, 419, 49, 825, 1771, 5439, 8611, 12659, 1, 1, 1, 9, 19, 3, 89,
    107, 407, 567, 807, 623, 7915, 8083, 6761, 1, 1, 5, 3, 23, 35, 109, 23,
    461, 401, 713, 965, 7687, 9729, 17287, 1, 3, 5, 11, 11, 43, 79, 197, 249,
    423, 953, 1621, 4045, 3913, 11143, 1, 1, 3, 7, 19, 59, 91, 217, 481, 861,
    1915, 1689, 2061, 5377, 8535, 1, 3, 3, 9, 15, 57, 5, 81, 133, 833, 49,
    3231, 6315, 9771, 5667, 1, 1, 1, 11, 27, 15, 83, 11, 483, 799, 1423, 2121,
    5385, 4541, 597, 1, 3, 7, 3, 19, 25, 5, 111, 493, 531, 317, 5, 2601,
    6909, 11515, 1, 3, 3, 7, 15, 33, 63, 89, 425, 913, 831, 3881, 2055, 4285,
    13015, 1, 3, 1, 1, 11, 5, 87, 255, 17, 731, 1149, 115, 1223, 413, 579,
    1, 1, 5, 15, 11, 27, 125, 97, 73, 221, 687, 623, 1617, 13347, 1369, 1,
    1, 5, 9, 19, 19, 39, 9, 273, 687, 805, 1105, 267, 8321, 17899, 1, 1,
    7, 7, 31, 25, 5, 209, 3, 503, 1757, 2071, 6251, 12821, 28241, 1, 1, 5,
    3, 7, 51, 25, 37, 197, 143, 1261, 1069, 6559, 5625, 30631, 1, 3, 1, 5,
    17, 15, 53, 71, 433, 133, 867, 3883, 3281, 3785, 11523, 1, 3, 1, 7, 1,
    31, 89, 165, 239, 525, 507, 3637, 4423, 1295, 9441, 1, 1, 3, 13, 7, 11,
    127, 151, 151, 821, 381, 23, 173, 14027, 8391, 1, 3, 5, 15, 1, 51, 85,
    67, 321, 797, 1625, 475, 313, 8189, 13315, 1, 3, 5, 7, 25, 49, 1, 155,
    497, 771, 457, 2097, 5997, 11363, 14715, 1, 1, 3, 5, 15, 5, 89, 219, 441,
    997, 127, 699, 5245, 3941, 14083, 1, 3, 5, 15, 21, 13, 35, 239, 115, 57,
    1479, 2813, 5249, 7733, 3135, 1, 3, 7, 3, 11, 59, 49, 55, 183, 631, 365,
    323, 6891, 3727, 24231, 1, 1, 1, 13, 9, 29, 101, 59, 257, 995, 145, 3037,
    7291, 16021, 31971, 1, 1, 1, 1, 19, 5, 51, 21, 207, 767, 1301, 3111, 7133,
    9555, 24043, 1, 1, 3, 5, 23, 45, 25, 149, 225, 141, 827, 37, 3767, 16305,
    30229, 1, 1, 3, 9, 21, 15, 51, 155, 185, 551, 243, 2493, 653, 10615, 28137,
    1, 1, 1, 5, 13, 55, 77, 71, 383, 605, 957, 1605, 6905, 12193, 26729, 1,
    3, 1, 15, 13, 19, 95, 219, 435, 165, 1531, 2733, 4213, 3739, 10943, 1, 3,
    1, 7, 31, 35, 3, 85, 331, 161, 1167, 3627, 7075, 16189, 385, 1, 1, 3,
    11, 3, 17, 103, 205, 299, 917, 105, 1675, 3461, 895, 3279, 1, 1, 1, 7,
    25, 11, 47, 77, 91, 263, 1575, 1337, 5603, 6561, 4941, 1, 1, 1, 5, 15,
    17, 77, 69, 413, 343, 1923, 2013, 269, 12245, 14611, 1, 3, 7, 13, 1, 29,
    99, 83, 69, 871, 945, 1271, 5741, 2505, 4743, 1, 3, 5, 13, 23, 55, 95,
    17, 321, 929, 1499, 205, 5529, 3819, 29763, 1, 3, 3, 1, 1, 47, 15, 151,
    273, 991, 1993, 2325, 3633, 9033, 795, 1, 3, 1, 5, 19, 59, 115, 79, 51,
    585, 253, 1545, 2871, 2303, 23189, 1, 1, 7, 11, 5, 49, 77, 79, 103, 719,
    965, 2115, 2431, 7761, 7267, 1, 1, 7, 13, 1, 33, 13, 121, 297, 217, 1143,
    2185, 6007, 13233, 4529, 1, 3, 7, 3, 1, 15, 17, 155, 321, 19, 1071, 3195,
    3589, 12159, 30323, 1, 3, 5, 7, 3, 57, 35, 197, 247, 449, 557, 809, 909,
    9141, 26613, 1, 3, 1, 5, 13, 43, 61, 177, 21, 161, 1823, 1077, 6523, 10765,
    17427, 1, 1, 3, 3, 13, 27, 77, 77, 315, 763, 853, 3801, 1505, 13801, 28217,
    1, 1, 1, 9, 15, 27, 45, 131, 271, 703, 1509, 443, 7739, 3011, 32463, 1,
    1, 7, 11, 17, 3, 93, 55, 331, 785, 585, 3451, 283, 2623, 21459, 1, 3,
    5, 15, 3, 3, 101, 25, 235, 721, 257, 3961, 7049, 9861, 21259, 1, 1, 7,
    7, 9, 31, 17, 17, 473, 155, 677, 603, 7503, 2845, 21089, 1, 3, 3, 9,
    11, 29, 5, 135, 141, 587, 1073, 461, 883, 16191, 16139, 1, 3, 1, 15, 25,
    17, 87, 231, 63, 563, 1061, 3207, 2291, 913, 11871, 1, 1, 7, 11, 7, 45,
    53, 79, 247, 21, 1203, 1857, 5095, 7533, 4427, 1, 3, 5, 9, 17, 57, 29,
    181, 345, 709, 1889, 2625, 8157, 4681, 21681, 1, 3, 5, 13, 9, 63, 63, 183,
    123, 957, 27, 3113, 1873, 8917, 8669, 1, 3, 5, 9, 29, 59, 31, 211, 459,
    679, 259, 1885, 1895, 12815, 2437, 1, 1, 5, 11, 13, 51, 125, 5, 15, 865,
    901, 1803, 3277, 2879, 13057, 1, 1, 7, 9, 27, 39, 115, 67, 389, 1, 649,
    639, 7183, 15929, 12953, 1, 1, 5, 13, 3, 7, 21, 219, 241, 977, 1233, 1717,
    7077, 8657, 1389, 1, 1, 5, 15, 9, 51, 101, 127, 383, 801, 657, 2793, 1037,
    11525, 7195, 1, 3, 3, 7, 1, 29, 71, 227, 19, 371, 363, 809, 4241, 5739,
    26497, 1, 3, 5, 11, 25, 23, 65, 161, 259, 135, 1047, 3943, 5749, 2931, 20647,
    1, 1, 7, 3, 1, 55, 1, 85, 271, 67, 1813, 77, 5435, 11867, 28375, 1,
    1, 7, 11, 31, 53, 43, 47, 285, 901, 901, 977, 733, 5291, 7043, 1, 3,
    3, 7, 1, 59, 79, 123, 355, 721, 365, 2871, 6253, 14511, 4209, 1, 1, 5,
    15, 5, 49, 77, 107, 237, 257, 703, 1013, 4563, 8603, 10469, 1, 3, 7, 11,
    27, 59, 9, 129, 21, 991, 1283, 2871, 759, 5435, 30419, 1, 3, 5, 1, 19,
    5, 5, 215, 91, 117, 939, 3595, 4331, 16083, 23279, 1, 1, 7, 7, 7, 45,
    45, 71, 75, 261, 685, 63, 3553, 16349, 6803, 1, 3, 1, 9, 1, 23, 101,
    11, 331, 407, 547, 1553, 7471, 6125, 3965, 1, 3, 7, 11, 19, 29, 1, 53,
    125, 775, 1381, 1885, 2655, 7199, 24073, 1, 3, 5, 7, 27, 21, 79, 211, 433,
    993, 143, 2241, 2607, 15447, 6121, 1, 3, 3, 7, 29, 39, 93, 65, 39, 577,
    1471, 3491, 4413, 10553, 1339, 1, 1, 5, 11, 21, 23, 75, 237, 439, 171, 361,
    3283, 4145, 15267, 19917, 1, 1, 1, 5, 9, 55, 39, 171, 423, 211, 43, 2597,
    7135, 2437, 28965, 1, 3, 1, 9, 11, 15, 71, 109, 337, 907, 135, 3557, 7359,
    3539, 26953, 1, 1, 1, 15, 15, 63, 9, 47, 153, 157, 457, 857, 6985, 3559,
    23285, 1, 3, 3, 9, 21, 21, 3, 223, 67, 429, 497, 1303, 869, 3909, 17491,
    1, 1, 1, 3, 23, 37, 7, 197, 223, 597, 421, 845, 1397, 927, 20621, 1,
    3, 1, 13, 5, 37, 41, 83, 241, 301, 1157, 1087, 2365, 10905, 25195, 1, 3,
    7, 11, 25, 11, 75, 9, 31, 5, 1909, 681, 2891, 867, 4661, 1, 1, 1,
    13, 21, 33, 127, 233, 369, 381, 711, 133, 4463, 14119, 8877, 1, 1, 7, 7,
    21, 13, 5, 61, 29, 247, 923, 3533, 2831, 9645, 1537, 1, 1, 1, 9, 29,
    13, 29, 177, 195, 299, 445, 3753, 3699, 9383, 3249, 1, 3, 1, 3, 17, 55,
    21, 245, 11, 93, 1097, 1601, 4431, 5847, 21521, 1, 1, 3, 9, 3, 37, 9,
    179, 465, 123, 333, 3765, 1599, 8709, 11007, 1, 3, 3, 11, 15, 25, 23, 217,
    193, 767, 1433, 3435, 4891, 4109, 32061, 1, 3, 7, 11, 21, 25, 123, 111, 377,
    951, 1791, 2173, 569, 12831, 30045, 1, 1, 7, 11, 11, 19, 75, 63, 497, 1005,
    1215, 3957, 4137, 4851, 23547, 1, 1, 1, 15, 15, 9, 59, 143, 27, 941, 117,
    3035, 1201, 4373, 19291, 1, 3, 3, 5, 1, 3, 37, 187, 115, 901, 617, 1959,
    2243, 6563, 3087, 1, 1, 1, 9, 17, 31, 67, 243, 35, 667, 1863, 1017, 6501,
    9279, 18089, 1, 1, 5, 11, 25, 19, 25, 255, 371, 27, 763, 2575, 695, 6155,
    27761, 1, 3, 1, 1, 5, 49, 79, 149, 331, 601, 199, 2927, 6293, 12449, 16397,
    1, 1, 7, 11, 29, 41, 29, 161, 191, 519, 445, 1159, 3009, 3413, 21757, 1,
    3, 7, 5, 23, 57, 93, 211, 57, 269, 1627, 3393, 873, 8189, 26059, 1, 1,
    7, 11, 27, 59, 125, 251, 259, 251, 79, 2693, 1815, 8759, 15667, 1, 1, 3,
    15, 31, 47, 15, 51, 17, 761, 589, 537, 3991, 2883, 6899, 1, 1, 3, 7,
    19, 39, 95, 143, 37, 183, 1719, 1819, 1659, 1043, 31929, 1, 1, 3, 7, 15,
    47, 105, 45, 67, 665, 1273, 221, 5423, 679, 8375, 1, 3, 1, 15, 23, 37,
    123, 233, 117, 743, 785, 3871, 6031, 14379, 3339, 1, 3, 1, 13, 1, 47, 33,
    63, 309, 961, 83, 2539, 5935, 3121, 27671, 1, 3, 7, 13, 21, 11, 103, 87,
    433, 39, 293, 3217, 1533, 4511, 24493, 1, 1, 5, 7, 9, 51, 41, 133, 443,
    605, 913, 377, 5969, 8401, 25427, 1, 1, 1, 3, 21, 27, 59, 41, 155, 35,
    897, 2317, 6557, 679, 7863, 1, 1, 7, 11, 19, 47, 39, 53, 401, 199, 271,
    1385, 3505, 719, 12963, 1, 1, 7, 7, 13, 7, 11, 131, 455, 605, 523, 3435,
    2313, 9861, 22437, 1, 3, 7, 3, 19, 5, 125, 71, 425, 321, 1151, 231, 2585,
    12899, 4789, 1, 3, 5, 11, 15, 27, 35, 13, 187, 863, 795, 1005, 6443, 3011,
    5275, 1, 3, 7, 5, 25, 61, 33, 201, 343, 337, 1441, 2647, 3469, 5537, 30595,
    1, 1, 7, 11, 17, 13, 73, 209, 121, 411, 1027, 1879, 845, 14019, 4269, 1,
    3, 5, 9, 11, 51, 69, 103, 245, 677, 409, 135, 3775, 15781, 24159, 1, 1,
    7, 3, 11, 9, 117, 101, 205, 745, 941, 125, 5915, 16305, 12547, 1, 1, 1,
    9, 9, 51, 37, 135, 79, 327, 1695, 2517, 2685, 1103, 6035, 1, 1, 3, 13,
    21, 33, 33, 229, 201, 939, 1625, 2043, 6661, 11821, 22881, 1, 1, 1, 11, 23,
    3, 23, 5, 329, 467, 963, 3833, 7345, 3225, 3709, 1, 3, 1, 11, 27, 21,
    35, 159, 255, 707, 353, 3095, 6701, 14311, 839, 1, 1, 5, 7, 7, 63, 107,
    227, 233, 303, 1523, 2019, 227, 14695, 20253, 1, 3, 1, 1, 17, 29, 1, 167,
    331, 795, 2027, 2333, 361, 1841, 4053, 1, 1, 7, 9, 1, 41, 71, 173, 103,
    43, 635, 3311, 5883, 6517, 467, 1, 3, 7, 1, 3, 15, 101, 197, 449, 393,
    889, 1189, 2665, 3647, 21977, 1, 3, 1, 11, 23, 5, 103, 199, 417, 729, 137,
    1667, 5, 4769, 11981, 1, 3, 1, 1, 17, 37, 73, 231, 195, 497, 1835, 1597,
    403, 12569, 24761, 1, 3, 3, 7, 31, 37, 33, 39, 359, 961, 1745, 2353, 827,
    6439, 27419, 1, 1, 3, 1, 25, 25, 97, 111, 149, 799, 593, 1011, 5439, 2613,
    3669, 1, 1, 3, 5, 5, 21, 55, 37, 483, 407, 1059, 905, 5225, 9441, 17461,
    1, 1, 1, 11, 27, 15, 93, 87, 423, 625, 285, 4051, 7931, 9005, 4033, 1,
    1, 1, 7, 13, 17, 13, 221, 29, 179, 645, 2721, 4781, 6151, 6435, 1, 1,
    5, 9, 11, 59, 53, 249, 13, 295, 467, 1781, 2381, 2897, 11175, 1, 3, 5,
    3, 5, 41, 111, 129, 159, 363, 1109, 1547, 1209, 15035, 17367, 1, 1, 7, 13,
    23, 51, 55, 129, 435, 671, 947, 349, 1741, 15317, 28069, 1, 3, 5, 7, 13,
    9, 17, 111, 309, 987, 1521, 1243, 1815, 10055, 4883, 1, 1, 5, 5, 21, 9,
    19, 179, 315, 547, 1899, 1421, 589, 2563, 27523, 1, 1, 5, 11, 25, 23, 115,
    229, 439, 225, 1957, 3251, 4377, 12751, 2983, 1, 3, 1, 3, 21, 23, 57, 187,
    469, 575, 1587, 1983, 4353, 8605, 27269, 1, 3, 5, 15, 11, 17, 51, 131, 93,
    599, 487, 3397, 761, 11503, 13405, 1, 3, 1, 15, 27, 7, 13, 105, 189, 141,
    715, 1571, 8103, 3233, 10481, 1, 1, 7, 3, 21, 17, 103, 121, 229, 865, 1819,
    171, 7281, 14085, 4483, 1, 3, 7, 13, 21, 47, 105, 233, 325, 49, 1305, 2269,
    7717, 2771, 27583, 1, 3, 3, 5, 17, 11, 101, 55, 191, 115, 1749, 3015, 1493,
    15301, 1629, 1, 1, 7, 1, 3, 39, 111, 51, 269, 451, 1327, 3389, 6461, 7361,
    1311, 1, 1, 7, 7, 23, 21, 103, 241, 3, 295, 981, 3969, 1631, 6301, 9481,
    1, 3, 7, 3, 17, 63, 49, 163, 89, 183, 555, 597, 3099, 8057, 28653, 1,
    1, 7, 15, 9, 29, 35, 255, 173, 295, 2015, 283, 1179, 1677, 26417, 1, 3,
    1, 5, 11, 29, 73, 67, 5, 995, 1563, 2611, 7605, 13831, 7405, 1, 3, 3,
    1, 1, 27, 7, 251, 175, 683, 603, 2895, 6033, 4133, 2753, 1, 1, 7, 15,
    23, 47, 45, 179, 289, 317, 1111, 1241, 7221, 8661, 31853, 1, 1, 3, 15, 19,
    19, 35, 139, 145, 469, 1455, 2335, 8009, 6609, 14847, 1, 1, 7, 11, 17, 59,
    115, 71, 197, 143, 1791, 3515, 3443, 5065, 22885, 1, 3, 7, 11, 25, 19, 47,
    223, 469, 745, 107, 2801, 6279, 16311, 15699, 1, 1, 1, 5, 29, 47, 21, 227,
    219, 331, 1179, 3409, 1787, 9113, 8359, 1, 3, 7, 3, 7, 29, 43, 135, 137,
    203, 241, 2421, 3125, 3883, 23519, 1, 3, 5, 3, 3, 63, 5, 5, 425, 863,
    1483, 4049, 2505, 3173, 3021, 1, 1, 1, 1, 31, 11, 37, 133, 349, 33, 1617,
    7, 4945, 8143, 22027, 1, 3, 7, 9, 13, 61, 61, 111, 203, 255, 1107, 425,
    4571, 1537, 2547, 1, 3, 1, 13, 19, 35, 5, 99, 33, 271, 203, 545, 1917,
    8645, 30737, 1, 1, 5, 1, 31, 33, 125, 119, 475, 497, 1341, 593, 3497, 2191,
    28715, 1, 1, 7, 15, 17, 57, 87, 101, 487, 659, 497, 1243, 3353, 4803, 11445,
    1, 3, 1, 3, 31, 13, 55, 79, 233, 327, 1825, 245, 2693, 11761, 21155, 1,
    3, 7, 7, 21, 1, 15, 183, 113, 871, 251, 3573, 517, 9973, 28567, 1, 1,
    1, 11, 23, 53, 47, 143, 435, 107, 1091, 2139, 5985, 12541, 9857, 1, 3, 3,
    13, 23, 47, 125, 95, 333, 13, 285, 1691, 1899, 5625, 29883, 1, 1, 7, 1,
    1, 3, 21, 69, 425, 179, 1815, 2231, 6257, 1387, 26423, 1, 1, 1, 13, 23,
    11, 37, 223, 259, 767, 1521, 2445, 7725, 2013, 8365, 1, 1, 7, 7, 13, 25,
    125, 167, 423, 457, 1793, 4043, 913, 14917, 4577, 1, 3, 5, 11, 13, 49, 95,
    145, 251, 305, 1883, 3717, 7927, 6635, 9647, 1, 3, 1, 1, 31, 33, 87, 189,
    499, 933, 115, 3407, 1517, 157, 11815, 1, 1, 7, 7, 15, 1, 7, 155, 493,
    413, 231, 69, 3433, 13471, 26705, 1, 3, 7, 15, 3, 59, 21, 81, 309, 445,
    1467, 2655, 4871, 1667, 24557, 1, 3, 3, 15, 11, 25, 73, 181, 355, 887, 967,
    1131, 5137, 12695, 8561, 1, 3, 3, 11, 27, 51, 19, 95, 165, 991, 2039, 3269,
    2839, 12065, 26791, 1, 1, 5, 15, 29, 15, 47, 89, 251, 149, 7, 447, 1945,
    157, 3865, 1, 1, 5, 15, 27, 33, 99, 211, 481, 95, 1361, 2933, 509, 16383,
    11581, 1, 1, 3, 1, 29, 43, 103, 141, 117, 505, 733, 2719, 2281, 4753, 27511,
    1, 3, 1, 15, 5, 15, 25, 87, 255, 819, 1589, 2623, 2043, 7735, 7813, 1,
    1, 5, 15, 23, 57, 125, 145, 387, 729, 1845, 2809, 8067, 3487, 19919, 1, 3,
    3, 5, 17, 59, 45, 11, 15, 505, 1859, 2193, 4581, 15553, 767, 1, 1, 1,
    3, 27, 47, 95, 147, 493, 259, 759, 4013, 5611, 1379, 13017, 1, 3, 3, 9,
    13, 3, 7, 193, 203, 379, 1445, 1599, 5915, 6025, 8037, 1, 3, 7, 5, 7,
    33, 77, 5, 449, 509, 1409, 2711, 5603, 9343, 10613, 1, 3, 5, 1, 31, 19,
    65, 169, 429, 951, 1659, 3045, 735, 5089, 27215, 1, 1, 7, 1, 13, 43, 73,
    67, 449, 357, 285, 2291, 3493, 1575, 9281, 1, 3, 7, 13, 7, 59, 15, 119,
    479, 523, 201, 1381, 3245, 15591, 18785, 1, 3, 1, 13, 13, 13, 29, 105, 65,
    231, 161, 375, 3725, 5097, 23183, 1, 3, 5, 7, 7, 21, 103, 155, 357, 661,
    1035, 2421, 5989, 14613, 11499, 1, 3, 3, 3, 13, 7, 45, 221, 189, 405, 1845,
    3791, 2989, 495, 13899, 1, 3, 7, 15, 27, 23, 91, 39, 385, 59, 1367, 3177,
    1945, 15335, 7543, 1, 3, 1, 5, 25, 49, 43, 215, 7, 1003, 831, 611, 183,
    4627, 29423, 1, 1, 3, 9, 29, 15, 57, 7, 259, 543, 1313, 449, 2497, 4337,
    20879, 1, 3, 1, 3, 17, 23, 111, 99, 185, 183, 1215, 1775, 8129, 4487, 7927,
    1, 1, 1, 1, 21, 23, 55, 195, 219, 595, 703, 97, 7599, 15673, 25677, 1,
    3, 1, 11, 19, 11, 121, 145, 237, 719, 201, 1335, 5147, 2195, 22909, 1, 1,
    3, 11, 27, 27, 45, 185, 251, 329, 1253, 1071, 2097, 9669, 2999, 1, 3, 3,
    11, 27, 35, 91, 183, 161, 393, 1269, 1945, 727, 9985, 9275, 1, 1, 1, 9,
    15, 43, 109, 25, 431, 641, 1291, 1169, 649, 16145, 27663, 1, 3, 5, 5, 11,
    59, 77, 193, 59, 325, 531, 365, 7285, 5111, 26647, 1, 1, 3, 9, 15, 1,
    33, 51, 427, 513, 575, 3739, 4593, 6669, 25369, 1, 3, 1, 13, 5, 31, 109,
    155, 83, 405, 657, 1095, 5087, 13835, 30395, 1, 3, 7, 9, 11, 21, 115, 129,
    389, 25, 657, 3455, 1357, 1501, 10589, 1, 3, 5, 9, 29, 21, 67, 153, 197,
    703, 123, 1645, 2175, 5581, 26465, 1, 1, 7, 11, 1, 21, 79, 71, 49, 719,
    909, 3783, 5081, 13235, 19387, 1, 1, 1, 5, 11, 47, 93, 213, 305, 673, 191,
    2787, 3293, 6721, 19105, 1, 1, 5, 15, 19, 1, 127, 189, 25, 201, 1867, 3541,
    3215, 14025, 15823, 1, 1, 7, 5, 9, 43, 75, 129, 335, 73, 995, 15, 4423,
    6817, 14311, 1, 3, 3, 7, 13, 53, 97, 29, 311, 749, 1025, 5, 6001, 6831,
    24699, 1, 3, 7, 3, 29, 21, 117, 245, 389, 785, 405, 1455, 4249, 9663, 30027,
    1, 1, 5, 13, 13, 27, 113, 221, 293, 583, 1329, 3387, 4233, 11511, 30005, 1,
    3, 1, 11, 11, 59, 85, 23, 435, 769, 889, 2993, 8075, 10831, 23109, 1, 1,
    7, 13, 31, 9, 59, 247, 387, 27, 791, 1381, 1881, 15223, 29481, 1, 1, 7,
    7, 1, 39, 93, 67, 293, 777, 1463, 1363, 3159, 6569, 18361, 1, 3, 1, 11,
    25, 31, 49, 133, 459, 399, 593, 3907, 701, 9321, 28589, 1, 1, 7, 5, 7,
    35, 85, 247, 247, 577, 245, 1615, 337, 11289, 32149, 1, 3, 5, 7, 21, 35,
    67, 37, 77, 395, 907, 595, 883, 14931, 21875, 1, 1, 1, 9, 5, 25, 1,
    69, 307, 419, 1875, 3075, 15, 5853, 3177, 1, 1, 3, 1, 15, 7, 15, 17,
    67, 577, 1525, 1847, 481, 15451, 21229, 1, 1, 1, 11, 23, 35, 79, 179, 397,
    403, 1935, 3371, 3511, 13593, 30241, 1, 3, 5, 3, 13, 11, 79, 215, 409, 577,
    1301, 451, 5171, 1555, 18445, 1, 3, 3, 13, 25, 35, 71, 65, 371, 667, 247,
    3815, 4383, 6429, 4667, 1, 1, 3, 1, 17, 45, 115, 217, 353, 501, 1087, 1521,
    2621, 4847, 12647, 1, 1, 7, 7, 5, 25, 75, 33, 421, 39, 1857, 2189, 2383,
    4401, 11737, 1, 1, 7, 7, 7, 23, 123, 155, 343, 85, 879, 595, 6419, 3789,
    31233, 1, 1, 7, 5, 29, 55, 75, 203, 319, 465, 1903, 595, 8127, 9773, 4083,
    1, 3, 7, 11, 27, 31, 55, 147, 17, 893, 33, 3239, 1773, 2111, 19833, 1,
    3, 7, 5, 27, 39, 3, 131, 401, 843, 1229, 227, 5221, 5845, 29029, 1, 1,
    5, 13, 15, 47, 113, 11, 361, 95, 1303, 333, 5139, 8393, 2225, 1, 3, 5,
    11, 27, 53, 45, 111, 377, 41, 985, 931, 3901, 13921, 25305, 1, 3, 7, 3,
    23, 23, 95, 227, 207, 71, 525, 3843, 6025, 16335, 30519, 1, 3, 5, 1, 9,
    55, 95, 69, 457, 823, 479, 4073, 3227, 1355, 12937, 1, 1, 1, 5, 7, 17,
    67, 143, 189, 79, 653, 2791, 1193, 9409, 3561, 1, 1, 1, 5, 29, 53, 67,
    253, 471, 649, 669, 1621, 1199, 12889, 27943, 1, 1, 3, 11, 15, 3, 93, 33,
    335, 899, 1897, 1689, 2753, 473, 21935, 1, 1, 7, 7, 27, 29, 17, 167, 467,
    261, 671, 2449, 7433, 5669, 77, 1, 1, 7, 9, 5, 37, 85, 103, 19, 971,
    1851, 231, 7897, 1783, 12659, 1, 3, 7, 7, 17, 57, 1, 7, 491, 887, 341,
    3859, 2783, 9547, 26867, 1, 1, 1, 3, 29, 45, 77, 219, 131, 573, 1015, 765,
    6211, 3243, 32547, 1, 3, 1, 5, 19, 51, 61, 27, 415, 125, 69, 2151, 3385,
    1405, 25509, 1, 3, 1, 3, 23, 17, 19, 35, 489, 869, 687, 1047, 6031, 589,
    3611, 1, 3, 5, 15, 19, 27, 47, 175, 23, 427, 137, 2733, 1795, 483, 11083,
    1, 1, 1, 1, 23, 41, 93, 229, 407, 751, 635, 3125, 831, 2121, 8463, 1,
    3, 5, 11, 27, 61, 27, 21, 337, 33, 1373, 37, 89, 7527, 21165, 1, 1,
    5, 9, 25, 55, 51, 111, 497, 737, 1097, 165, 7879, 1509, 5025, 1, 3, 5,
    11, 3, 51, 61, 19, 75, 1001, 1535, 2689, 2903, 9675, 22209, 1, 1, 3, 13,
    27, 7, 89, 219, 459, 403, 1963, 979, 3987, 4165, 5027, 1, 1, 1, 13, 15,
    51, 113, 37, 105, 57, 589, 3583, 7205, 107, 29687, 1, 1, 7, 7, 1, 57,
    125, 131, 265, 957, 461, 1413, 3961, 10543, 14951, 1, 1, 7, 13, 19, 53, 125,
    41, 417, 629, 153, 2531, 5655, 1919, 14615, 1, 1, 7, 1, 1, 21, 19, 123,
    3, 601, 1781, 2237, 705, 14229, 6739, 1, 3, 5, 5, 3, 3, 23, 71, 225,
    507, 619, 493, 5917, 1145, 7303, 1, 1, 1, 13, 3, 19, 89, 237, 497, 3,
    91, 2559, 6347, 8925, 9845, 1, 3, 5, 7, 11, 47, 85, 147, 339, 499, 511,
    731, 3063, 5363, 19841, 1, 3, 7, 7, 19, 41, 105, 225, 37, 181, 127, 2167,
    4247, 915, 14507, 1, 1, 5, 11, 31, 7, 23, 229, 165, 485, 693, 3279, 7407,
    9883, 31803, 1, 3, 5, 9, 15, 33, 1, 99, 79, 589, 411, 2783, 3437, 2151,
    11585, 1, 3, 1, 5, 25, 15, 95, 221, 399, 793, 617, 2431, 6859, 2893, 8919,
    1, 3, 1, 11, 21, 57, 127, 1, 81, 657, 1935, 1937, 1635, 4079, 6677, 1,
    1, 5, 1, 17, 7, 19, 167, 483, 53, 49, 1187, 789, 1787, 4103, 1, 3,
    5, 15, 11, 1, 83, 223, 289, 119, 1263, 2995, 5697, 5835, 7127, 1, 3, 7,
    13, 1, 25, 59, 59, 223, 309, 1133, 773, 8171, 12881, 21959, 1, 3, 7, 15,
    7, 43, 63, 99, 503, 527, 1915, 1147, 2729, 8311, 13451, 1, 1, 1, 7, 25,
    37, 61, 41, 25, 681, 1029, 1715, 63, 6913, 31299, 1, 3, 5, 13, 29, 41,
    25, 135, 241, 331, 51, 2305, 5149, 12295, 8891, 1, 1, 3, 7, 7, 53, 25,
    127, 227, 711, 1165, 2563, 2681, 1331, 8435, 1, 3, 3, 15, 29, 43, 27, 105,
    371, 691, 77, 1847, 6097, 1253, 1163, 1, 3, 5, 1, 23, 43, 23, 185, 287,
    407, 1523, 1923, 2121, 3297, 21549, 1, 3, 7, 15, 31, 45, 19, 85, 323, 837,
    99, 581, 6607, 3685, 21853, 1, 1, 3, 3, 31, 27, 107, 55, 79, 339, 1739,
    2373, 6393, 6557, 20651, 1, 3, 1, 11, 7, 23, 63, 43, 237, 753, 1347, 1775,
    6663, 2907, 2905, 1, 1, 5, 5, 1, 3, 99, 135, 247, 249, 757, 619, 3497,
    2421, 6601, 1, 3, 1, 7, 5, 61, 91, 151, 283, 723, 1931, 3799, 2737, 14833,
    2363, 1, 1, 3, 1, 9, 15, 53, 233, 365, 323, 1141, 3523, 7771, 707, 1837,
    1, 1, 1, 7, 11, 43, 87, 63, 425, 149, 1121, 4051, 5391, 591, 19849, 1,
    1, 1, 5, 15, 39, 55, 233, 401, 337, 289, 693, 3659, 10381, 25723, 1, 1,
    7, 11, 3, 11, 55, 89, 293, 235, 893, 853, 1281, 13845, 7123, 1, 1, 7,
    15, 11, 1, 41, 187, 297, 557, 1951, 4007, 2429, 493, 31645, 1, 1, 1, 1,
    31, 39, 113, 3, 11, 217, 1841, 545, 1953, 1667, 28317, 1, 1, 3, 7, 31,
    31, 125, 217, 127, 561, 983, 3651, 6649, 11859, 3887, 1, 1, 1, 3, 17, 51,
    107, 25, 511, 777, 771, 2359, 275, 16351, 15639, 1, 3, 5, 1, 11, 13, 9,
    167, 505, 667, 155, 2857, 4043, 12145, 3369, 1, 3, 7, 1, 15, 33, 83, 217,
    333, 847, 679, 3981, 925, 3465, 1217, 1, 1, 3, 7, 13, 55, 111, 101, 455,
    929, 1755, 2177, 931, 8083, 1207, 1, 1, 1, 3, 21, 29, 25, 213, 113, 51,
    1913, 1131, 1981, 16221, 32569, 1, 1, 3, 13, 13, 9, 105, 153, 317, 755, 363,
    2833, 4463, 2607, 17587, 1, 1, 5, 1, 7, 15, 71, 133, 141, 639, 273, 1445,
    4571, 13313, 319, 1, 1, 5, 9, 23, 17, 55, 49, 159, 713, 1127, 2537, 4927,
    4389, 8361, 1, 3, 3, 1, 31, 23, 35, 237, 7, 801, 1939, 2243, 3891, 12379,
    251, 1, 1, 7, 15, 17, 11, 33, 89, 39, 87, 1963, 1591, 7775, 5091, 23503,
    1, 1, 7, 1, 31, 63, 93, 55, 197, 627, 1887, 899, 2491, 7713, 9921, 1,
    1, 3, 11, 27, 17, 27, 33, 413, 131, 1713, 615, 1775, 237, 2775, 1, 3,
    5, 9, 23, 3, 83, 69, 113, 311, 1199, 2593, 3745, 14473, 727, 1, 3, 3,
    3, 3, 57, 111, 195, 303, 713, 1305, 955, 7415, 15625, 6491, 1, 3, 1, 15,
    25, 37, 3, 149, 7, 923, 1367, 3743, 5887, 5683, 17437, 1, 3, 3, 7, 5,
    33, 85, 149, 339, 223, 1359, 1881, 4383, 8949, 1331, 1, 1, 3, 15, 21, 27,
    85, 209, 205, 597, 655, 2759, 109, 4963, 13055, 1, 3, 1, 1, 3, 29, 99,
    15, 399, 233, 1697, 2613, 1819, 9059, 10329, 1, 1, 5, 1, 19, 13, 69, 87,
    451, 389, 1065, 665, 7217, 12907, 32423, 1, 1, 3, 11, 23, 57, 127, 107, 181,
    231, 1233, 1593, 6365, 13919, 29379, 1, 1, 7, 13, 29, 43, 11, 119, 165, 835,
    323, 3051, 3641, 13841, 26399, 1, 1, 7, 5, 15, 27, 41, 97, 317, 565, 1589,
    2091, 1213, 12143, 26777, 1, 3, 7, 13, 3, 17, 65, 221, 183, 265, 363, 1013,
    7269, 13731, 25029, 1, 1, 3, 3, 13, 13, 123, 59, 193, 95, 1909, 1701, 6123,
    5599, 17805, 1, 1, 1, 1, 3, 51, 1, 155, 59, 199, 1751, 813, 441, 5615,
    28115, 1, 1, 5, 3, 13, 33, 37, 245, 343, 21, 1083, 2177, 4593, 13995, 12465,
    1, 1, 7, 3, 21, 57, 31, 65, 15, 427, 981, 1047, 7731, 763, 26335, 1,
    3, 3, 11, 1, 15, 19, 207, 127, 623, 949, 663, 2691, 505, 10667, 1, 1,
    3, 9, 3, 7, 31, 175, 225, 707, 1393, 1661, 2761, 4675, 16195, 1, 3, 1,
    5, 21, 35, 17, 61, 337, 307, 191, 1077, 7331, 8965, 18963, 1, 3, 3, 7,
    23, 53, 37, 95, 229, 125, 813, 2279, 4915, 10637, 15533, 1, 3, 3, 1, 21,
    9, 61, 183, 457, 997, 929, 2245, 6213, 11179, 1803, 1, 1, 5, 15, 11, 63,
    21, 235, 259, 161, 1347, 2807, 3991, 14205, 26369, 1, 1, 7, 5, 13, 3, 33,
    237, 473, 167, 1341, 3617, 3671, 15041, 29603, 1, 1, 5, 9, 17, 1, 105, 169,
    25, 825, 1703, 751, 5461, 13121, 30917, 1, 3, 7, 5, 9, 31, 19, 231, 137,
    601, 1177, 327, 3811, 7553, 13453, 1, 1, 7, 7, 7, 43, 7, 231, 171, 695,
    331, 1493, 2437, 12487, 25451, 1, 3, 5, 13, 27, 19, 103, 157, 145, 267, 1417,
    3867, 7477, 15399, 31311, 1, 1, 7, 1, 5, 11, 111, 89, 45, 685, 1283, 2581,
    819, 3675, 25143, 1, 1, 1, 5, 31, 5, 85, 143, 113, 693, 529, 321, 5407,
    14411, 27513, 1, 1, 1, 9, 19, 5, 103, 79, 439, 327, 1769, 3371, 7191, 5827,
    10145, 1, 3, 1, 15, 1, 3, 63, 57, 331, 525, 239, 307, 4927, 13525, 26383,
    1, 1, 1, 11, 11, 31, 49, 137, 407, 335, 905, 3441, 623, 11301, 8933, 1,
    3, 7, 13, 29, 59, 41, 143, 103, 255, 1195, 3033, 6785, 12717, 5789, 1, 3,
    7, 5, 11, 3, 107, 121, 173, 481, 3, 1485, 4557, 11095, 24611, 1, 3, 3,
    1, 3, 47, 17, 107, 77, 323, 1349, 2285, 871, 7301, 27811, 1, 3, 3, 13,
    9, 49, 95, 53, 337, 323, 1231, 3825, 7403, 12851, 31133, 1, 3, 1, 1, 29,
    59, 123, 239, 251, 513, 259, 529, 1267, 13323, 15509, 1, 1, 1, 7, 25, 61,
    91, 75, 83, 575, 671, 2575, 2871, 11909, 31371, 1, 3, 7, 3, 15, 63, 99,
    161, 77, 539, 1069, 1263, 4173, 12691, 18091, 1, 3, 7, 1, 15, 55, 39, 33,
    257, 925, 839, 4091, 2621, 315, 28153, 1, 1, 3, 3, 9, 9, 17, 207, 369,
    773, 1661, 3175, 2367, 6363, 5363, 1, 1, 3, 15, 31, 11, 41, 145, 381, 969,
    327, 487, 5545, 16163, 13891, 1, 1, 3, 5, 19, 15, 125, 183, 445, 771, 829,
    3653, 7487, 14429, 14535, 1, 1, 1, 13, 5, 55, 41, 171, 163, 677, 1549, 2769,
    3961, 4051, 25883, 1, 3, 5, 5, 15, 5, 121, 113, 423, 607, 1623, 2899, 7839,
    8107, 13963, 1, 1, 7, 11, 17, 55, 85, 139, 93, 453, 75, 2405, 7601, 15647,
    25349, 1, 3, 3, 3, 11, 27, 1, 11, 361, 811, 599, 405, 6981, 5705, 16427,
    1, 3, 5, 9, 23, 61, 27, 7, 99, 495, 473, 477, 1733, 8043, 24843, 1,
    3, 7, 3, 21, 27, 71, 157, 357, 175, 829, 2411, 2305, 4669, 24933, 1, 3,
    5, 9, 21, 13, 121, 123, 119, 59, 429, 3757, 5833, 11263, 16013, 1, 3, 7,
    15, 11, 49, 7, 31, 375, 647, 413, 2979, 7731, 15953, 13637, 1, 1, 1, 7,
    9, 59, 121, 115, 239, 739, 121, 791, 769, 14223, 15127, 1, 3, 7, 15, 17,
    31, 69, 9, 189, 503, 565, 1373, 6467, 15291, 20621, 1, 1, 5, 13, 31, 13,
    71, 15, 197, 855, 1923, 2923, 2375, 7201, 29767, 1, 1, 7, 7, 17, 13, 53,
    131, 447, 337, 1059, 1365, 1269, 6035, 32075, 1, 3, 5, 1, 15, 13, 43, 151,
    207, 591, 717, 971, 5801, 10975, 3889, 1, 3, 5, 7, 15, 45, 125, 193, 17,
    605, 651, 1987, 577, 2835, 6801, 1, 3, 5, 7, 31, 53, 83, 137, 399, 781,
    135, 2863, 4901, 2861, 14025, 1, 3, 3, 13, 29, 45, 99, 43, 121, 141, 753,
    11, 4033, 2011, 7493, 1, 3, 7, 11, 7, 39, 95, 199, 365, 9, 381, 3923,
    3803, 6607, 30777, 1, 3, 5, 13, 13, 49, 17, 25, 195, 269, 83, 2115, 4013,
    8817, 28017, 1, 1, 5, 15, 23, 49, 51, 49, 303, 439, 1353, 2385, 4547, 14405,
    24115, 1, 3, 1, 9, 9, 3, 87, 159, 449, 139, 461, 465, 5585, 9313, 6337,
    1, 1, 1, 9, 23, 17, 103, 167, 209, 179, 137, 57, 4265, 1743, 27575, 1,
    3, 1, 15, 15, 17, 7, 93, 173, 277, 497, 4047, 2205, 10403, 6319, 1, 3,
    1, 9, 13, 55, 37, 153, 69, 989, 1609, 1939, 1153, 5671, 16563, 1, 1, 3,
    15, 3, 41, 67, 41, 253, 293, 1495, 3935, 271, 12067, 3891, 1, 3, 7, 15,
    27, 21, 39, 41, 43, 713, 747, 995, 5389, 9811, 20489, 1, 3, 7, 15, 11,
    47, 41, 155, 301, 867, 1467, 1503, 893, 6819, 6923, 1, 1, 1, 11, 29, 15,
    57, 25, 219, 65, 997, 2109, 1921, 1771, 5997, 1, 1, 7, 5, 11, 59, 89,
    59, 319, 841, 1, 1339, 5635, 3141, 8735, 1, 3, 3, 3, 17, 25, 13, 201,
    37, 561, 1101, 1407, 3003, 99, 20189, 1, 1, 3, 3, 9, 7, 65, 27, 203,
    399, 555, 2605, 7951, 833, 6103, 1, 3, 7, 15, 15, 25, 87, 215, 499, 935,
    563, 1091, 6601, 12097, 22935, 1, 3, 5, 9, 3, 21, 63, 51, 353, 187, 1609,
    2321, 1743, 12665, 9313, 1, 1, 3, 13, 21, 7, 101, 27, 15, 467, 833, 2439,
    3559, 10509, 16327, 1, 3, 5, 1, 21, 37, 107, 77, 147, 107, 1493, 969, 7895,
    14293, 14557, 1, 1, 3, 13, 1, 13, 57, 183, 303, 93, 1755, 845, 6857, 11061,
    13661, 1, 1, 7, 13, 11, 23, 25, 77, 75, 279, 1375, 1235, 3225, 8143, 4055,
    1, 3, 1, 11, 5, 1, 85, 1, 221, 831, 1673, 633, 4837, 14409, 28993, 1,
    1, 7, 7, 23, 33, 51, 181, 201, 947, 697, 3417, 6169, 757, 9343, 1, 1,
    3, 11, 21, 51, 45, 81, 447, 17, 789, 3773, 3647, 5913, 25419, 1, 1, 5,
    11, 29, 39, 33, 67, 157, 583, 653, 43, 4441, 9571, 9895, 1, 3, 3, 13,
    21, 13, 53, 3, 135, 61, 1975, 2107, 1395, 11395, 1741, 1, 1, 5, 3, 21,
    29, 35, 25, 495, 783, 407, 1765, 1959, 3975, 23157, 1, 1, 7, 7, 1, 57,
    107, 73, 483, 945, 73, 2757, 7211, 1053, 7625, 1, 1, 3, 13, 25, 53, 61,
    117, 231, 261, 901, 1823, 3401, 8399, 17953, 1, 1, 7, 15, 29, 13, 55, 51,
    469, 457, 1529, 2381, 6017, 10953, 18639, 1, 1, 1, 9, 21, 17, 45, 1, 457,
    821, 367, 453, 1015, 1017, 21745, 1, 3, 1, 9, 15, 21, 121, 149, 417, 287,
    897, 2595, 327, 16157, 11971, 1, 3, 7, 15, 17, 29, 41, 191, 475, 457, 1487,
    1885, 6959, 10869, 7435, 1, 1, 5, 3, 9, 57, 29, 41, 81, 179, 1023, 3683,
    4313, 4849, 14211, 1, 3, 1, 15, 15, 3, 123, 5, 201, 387, 1175, 1285, 4367,
    459, 7771, 1, 1, 1, 3, 25, 47, 113, 41, 299, 217, 495, 565, 2337, 9877,
    28731, 1, 1, 5, 5, 17, 11, 119, 187, 389, 19, 1947, 2607, 1119, 7677, 1561,
    1, 1, 7, 9, 23, 59, 63, 175, 103, 211, 125, 3465, 2535, 14899, 1239, 1,
    1, 3, 11, 17, 37, 111, 225, 51, 455, 1911, 1579, 841, 11451, 31521, 1, 1,
    3, 15, 13, 1, 63, 33, 113, 83, 513, 3903, 5399, 5855, 11151, 1, 3, 7,
    7, 1, 15, 55, 181, 453, 15, 333, 185, 2031, 14809, 6187, 1, 1, 5, 13,
    27, 37, 41, 197, 191, 365, 1863, 559, 7731, 821, 8477, 1, 1, 1, 15, 19,
    53, 91, 119, 185, 515, 1041, 3933, 601, 2971, 25445, 1, 3, 5, 15, 25, 57,
    11, 79, 299, 5, 1433, 2811, 1807, 4057, 3283, 1, 1, 5, 13, 17, 17, 41,
    157, 357, 981, 1323, 1189, 1249, 2857, 10163, 1, 3, 3, 3, 15, 47, 109, 249,
    37, 403, 1611, 281, 2521, 14179, 3095, 1, 3, 5, 7, 23, 25, 5, 83, 503,
    203, 1961, 1915, 5111, 4265, 27243, 1, 1, 3, 1, 7, 29, 43, 19, 139, 487,
    1847, 1569, 643, 15999, 21539, 1, 1, 7, 3, 3, 7, 31, 217, 103, 127, 1389,
    87, 7911, 12751, 11907, 1, 3, 1, 9, 31, 25, 27, 69, 477, 471, 1375, 2485,
    4221, 175, 16841, 1, 3, 1, 15, 9, 31, 125, 233, 175, 649, 641, 3751, 7857,
    3849, 8859, 1, 1, 1, 3, 25, 7, 31, 197, 435, 453, 1715, 3187, 6131, 12375,
    29367, 1, 3, 5, 15, 9, 41, 75, 107, 205, 919, 1709, 2515, 7143, 10433, 6179,
    1, 1, 5, 1, 27, 11, 107, 177, 17, 675, 677, 547, 7101, 7789, 29465, 1,
    3, 5, 3, 9, 7, 123, 209, 443, 221, 35, 4045, 2871, 16167, 31745, 1, 1,
    7, 1, 15, 59, 127, 173, 163, 151, 813, 967, 1165, 4147, 29355, 1, 3, 7,
    13, 21, 17, 33, 35, 87, 897, 393, 2205, 2885, 7327, 28521, 1, 1, 5, 1,
    1, 47, 67, 87, 371, 217, 1943, 1277, 27, 7205, 9751, 1, 1, 5, 13, 1,
    25, 51, 103, 61, 279, 1151, 3745, 4159, 1895, 15869, 1, 3, 7, 9, 5, 59,
    29, 83, 415, 851, 1415, 3719, 4345, 13897, 22409, 1, 1, 1, 7, 29, 19, 7,
    23, 87, 1, 2035, 2287, 4985, 1371, 9323, 1, 1, 3, 1, 17, 33, 55, 49,
    285, 953, 131, 3679, 3811, 6125, 18827, 1, 1, 3, 3, 9, 51, 61, 119, 163,
    829, 1579, 2047, 909, 3499, 26535, 1, 3, 3, 3, 27, 49, 127, 239, 193, 359,
    695, 1471, 6481, 3549, 22337, 1, 3, 1, 5, 29, 7, 83, 57, 509, 15, 391,
    2287, 1023, 13993, 6073, 1, 1, 5, 15, 3, 21, 23, 217, 147, 511, 1817, 2425,
    2347, 1433, 10625, 1, 1, 7, 13, 23, 21, 29, 197, 189, 367, 619, 1305, 5463,
    7099, 3307, 1, 3, 1, 1, 27, 7, 33, 221, 107, 85, 633, 3325, 3109, 16377,
    25633, 1, 1, 3, 11, 13, 59, 57, 251, 321, 45, 451, 237, 4499, 10549, 16473,
    1, 1, 7, 15, 11, 39, 17, 85, 233, 865, 1285, 1771, 2913, 7729, 3815, 1,
    1, 5, 15, 9, 1, 51, 47, 113, 917, 1007, 1883, 4087, 4061, 27965, 1, 1,
    5, 15, 29, 33, 123, 183, 347, 99, 1215, 893, 7555, 6835, 1729, 1, 1, 5,
    13, 5, 25, 7, 255, 315, 559, 51, 899, 7165, 2021, 17413, 1, 3, 3, 7,
    3, 19, 7, 89, 77, 599, 1021, 3269, 3615, 10023, 31043, 1, 1, 7, 3, 9,
    7, 119, 199, 315, 835, 1401, 1547, 609, 9015, 27589, 1, 3, 3, 15, 7, 33,
    109, 239, 329, 213, 215, 1989, 1495, 7765, 3123, 1, 1, 1, 13, 31, 23, 79,
    181, 211, 189, 1, 2103, 4247, 7209, 3733, 1, 3, 3, 7, 19, 31, 59, 103,
    291, 877, 459, 3893, 4303, 10033, 31859, 1, 3, 5, 11, 11, 1, 11, 163, 477,
    925, 659, 143, 3705, 11335, 23667, 53273, 1, 1, 7, 11, 21, 29, 119, 195, 303,
    185, 1353, 1285, 2525, 11801, 10663, 49201, 1, 1, 7, 3, 29, 41, 115, 115, 389,
    763, 1625, 691, 3425, 6451, 3355, 26967, 1, 1, 1, 9, 1, 3, 71, 129, 25,
    231, 1849, 2087, 3253, 13151, 17039, 21893, 1, 3, 5, 9, 11, 57, 99, 187, 245,
    965, 1437, 3431, 4657, 12581, 14883, 54985, 1, 3, 5, 3, 27, 55, 41, 203, 261,
    271, 327, 71, 3659, 4517, 24071, 56297, 1, 1, 5, 1, 13, 63, 37, 109, 437,
    611, 649, 1123, 4365, 10259, 26507, 60715, 1, 1, 5, 9, 21, 51, 113, 95, 221,
    157, 843, 1429, 781, 13193, 16453, 26883, 1, 3, 3, 9, 29, 15, 13, 5, 441,
    7, 139, 773, 1495, 2283, 31549, 4105, 1, 1, 5, 9, 27, 59, 51, 51, 211,
    871, 1971, 1213, 7459, 14001, 32175, 53975, 1, 3, 5, 3, 3, 29, 47, 131, 263,
    879, 731, 1063, 3647, 8729, 5407, 4001, 1, 1, 3, 5, 21, 45, 93, 143, 443,
    295, 1683, 2335, 4213, 6297, 26611, 56661, 1, 1, 5, 3, 9, 63, 97, 143, 101,
    579, 435, 3339, 7333, 6267, 1589, 30997, 1, 1, 3, 3, 31, 51, 81, 125, 285,
    879, 1377, 107, 827, 7185, 27265, 54517, 1, 1, 3, 11, 9, 9, 121, 167, 195,
    625, 1167, 1533, 3697, 7545, 27799, 11613, 1, 3, 7, 7, 21, 55, 65, 63, 355,
    525, 1441, 3057, 1779, 1613, 6277, 37655, 1, 1, 7, 15, 9, 61, 7, 211, 11,
    955, 499, 2795, 4017, 1459, 4323, 1453, 1, 1, 1, 9, 25, 17, 75, 219, 383,
    721, 1661, 3325, 5917, 11423, 19265, 41063, 1, 3, 1, 7, 15, 39, 93, 9, 463,
    611, 547, 173, 4179, 4641, 28201, 32139, 1, 1, 5, 7, 29, 51, 41, 157, 93,
    289, 935, 3299, 2103, 4371, 15485, 62685, 1, 3, 3, 15, 31, 49, 93, 205, 13,
    551, 1809, 4051, 5481, 2693, 6615, 18123, 1, 3, 7, 3, 1, 41, 27, 105, 469,
    759, 625, 1579, 4253, 7435, 20545, 4365, 1, 3, 7, 11, 17, 45, 111, 91, 357,
    651, 5, 937, 3199, 6485, 21145, 35085, 1, 3, 5, 1, 7, 21, 33, 213, 399,
    735, 1923, 1047, 2765, 11057, 19007, 58345, 1, 3, 7, 13, 31, 57, 113, 81, 75,
    985, 479, 1353, 1041, 13489, 12011, 52749, 1, 1, 1, 9, 23, 23, 83, 167, 473,
    471, 171, 3303, 7167, 1109, 29263, 30047, 1, 3, 7, 15, 11, 63, 57, 73, 49,
    921, 457, 1683, 4447, 14549, 5819, 18291, 1, 3, 5, 5, 27, 1, 127, 233, 509,
    229, 1553, 3875, 2243, 16005, 17985, 28437, 1, 1, 1, 15, 7, 27, 75, 191, 433,
    585, 1659, 3373, 4067, 55, 11095, 37179, 1, 1, 7, 15, 27, 31, 21, 105, 95,
    357, 2019, 2193, 741, 8509, 349, 24797, 1, 1, 1, 15, 1, 51, 77, 139, 205,
    81, 1849, 1687, 1597, 1531, 115, 50163, 1, 3, 5, 5, 7, 61, 113, 111, 69,
    443, 179, 2955, 7, 13237, 26787, 33917, 1, 3, 5, 5, 21, 37, 11, 209, 177,
    433, 1423, 1629, 5807, 4655, 19377, 58963, 1, 3, 5, 1, 11, 29, 107, 17, 135,
    801, 1441, 3119, 4573, 8903, 11267, 2845, 1, 1, 3, 3, 21, 41, 115, 19, 473,
    447, 1879, 4095, 2743, 10007, 5751, 36845, 1, 1, 3, 5, 19, 13, 85, 131, 85,
    849, 1179, 1919, 3631, 13807, 10467, 24081, 1, 1, 5, 13, 5, 17, 21, 125, 169,
    369, 761, 1419, 7795, 9041, 7613, 6125, 1, 3, 7, 9, 21, 53, 119, 55, 97,
    563, 1531, 847, 3709, 10573, 18469, 29625, 1, 1, 5, 7, 23, 15, 99, 251, 415,
    55, 563, 3535, 8017, 7771, 23601, 52955, 1, 3, 5, 15, 29, 11, 73, 251, 139,
    215, 825, 1735, 7859, 10171, 17351, 24971, 1, 3, 1, 1, 21, 21, 21, 21, 107,
    901, 1321, 647, 7521, 5505, 965, 36217, 1, 1, 5, 15, 9, 39, 87, 173, 201,
    705, 563, 3479, 437, 1733, 18001, 39161, 1, 3, 7, 15, 31, 31, 89, 119, 471,
    633, 249, 187, 3735, 4045, 1611, 10045, 1, 3, 5, 1, 7, 31, 117, 249, 175,
    515, 1825, 3417, 307, 10909, 4453, 43833, 1, 3, 1, 9, 1, 21, 59, 103, 243,
    105, 2037, 1759, 689, 15389, 16981, 35545, 1, 1, 7, 1, 13, 15, 105, 89, 463,
    513, 191, 1489, 5239, 3723, 20511, 52139, 1, 3, 5, 1, 1, 25, 71, 89, 167,
    1009, 829, 2267, 375, 10217, 31677, 58309, 1, 3, 5, 1, 31, 19, 21, 225, 331,
    621, 1047, 3385, 5247, 1763, 19985, 9013, 1, 3, 1, 1, 5, 19, 69, 11, 15,
    361, 617, 823, 2645, 207, 18775, 60509, 1, 3, 3, 13, 15, 1, 37, 3, 249,
    277, 1729, 3599, 115, 9557, 12865, 6257, 1, 3, 7, 11, 15, 51, 21, 147, 23,
    527, 167, 1673, 2299, 923, 22755, 48627, 1, 3, 7, 1, 17, 55, 23, 1, 213,
    479, 287, 2741, 7255, 4571, 6581, 57509, 1, 3, 5, 7, 15, 49, 13, 149, 103,
    513, 1977, 2275, 5535, 7867, 16305, 24713, 1, 1, 7, 1, 29, 41, 69, 211, 131,
    87, 859, 3631, 611, 11463, 18029, 38771, 1, 3, 5, 11, 17, 23, 37, 149, 271,
    547, 1129, 3615, 6647, 7023, 103, 29257, 1, 1, 7, 13, 1, 55, 71, 51, 249,
    141, 1937, 3869, 5897, 13227, 22279, 11733, 1, 1, 5, 13, 1, 29, 85, 255, 93,
    741, 687, 2195, 519, 8235, 21305, 19681, 1, 1, 7, 5, 13, 17, 103, 65, 211,
    603, 543, 3629, 235, 7337, 27477, 2735, 1, 3, 1, 1, 17, 63, 75, 183, 107,
    583, 1849, 545, 7987, 13679, 22797, 40095, 1, 1, 5, 1, 31, 13, 33, 21, 479,
    879, 1223, 3925, 3003, 9975, 23465, 27775, 1, 1, 3, 1, 7, 23, 65, 107, 239,
    867, 1245, 1549, 5981, 4677, 3761, 61449, 1, 3, 7, 9, 5, 31, 25, 53, 59,
    79, 1545, 3721, 6979, 16351, 7305, 41653, 1, 1, 1, 13, 27, 53, 9, 7, 159,
    353, 121, 2525, 8049, 12997, 3933, 19835, 1, 3, 3, 15, 1, 33, 127, 163, 399,
    125, 1869, 569, 3853, 4819, 4403, 34367, 1, 3, 5, 15, 11, 23, 21, 95, 329,
    937, 689, 3731, 1157, 9613, 12593, 58609, 1, 3, 5, 7, 13, 23, 7, 237, 413,
    139, 523, 3517, 6829, 17, 17673, 57889, 1, 1, 3, 3, 3, 49, 63, 87, 147,
    359, 2027, 1513, 3933, 13911, 25459, 11391, 1, 1, 1, 5, 23, 17, 81, 249, 487,
    71, 395, 3635, 4773, 14909, 13523, 32617, 1, 1, 7, 5, 19, 39, 13, 91, 475,
    899, 353, 3275, 4161, 2203, 20375, 14795, 1, 3, 3, 11, 17, 15, 117, 145, 223,
    393, 1267, 1089, 6745, 10485, 20385, 25991, 1, 1, 7, 7, 27, 21, 57, 237, 405,
    513, 1411, 2791, 1685, 11529, 2115, 36631, 1, 1, 1, 13, 5, 17, 111, 55, 277,
    639, 1541, 2347, 1119, 10101, 8533, 15383, 1, 3, 5, 9, 1, 47, 123, 39, 473,
    471, 299, 3785, 6589, 9415, 29193, 24367, 1, 3, 3, 9, 13, 17, 9, 131, 9,
    309, 1529, 3721, 5927, 6699, 17439, 60313, 1, 3, 3, 7, 17, 3, 93, 33, 287,
    47, 1295, 1021, 4267, 403, 31111, 5399, 1, 3, 5, 3, 29, 27, 73, 117, 123,
    1007, 2003, 2921, 4875, 2043, 12221, 57865, 1, 3, 1, 15, 15, 51, 31, 217, 429,
    1009, 1761, 389, 4859, 13667, 17955, 29493, 1, 3, 3, 7, 25, 11, 65, 109, 241,
    421, 363, 2641, 781, 711, 5363, 9603, 1, 3, 1, 11, 1, 41, 99, 181, 103,
    503, 1887, 1917, 4791, 6405, 27701, 62353, 1, 1, 5, 7, 25, 43, 23, 49, 333,
    205, 903, 3915, 2899, 2719, 7887, 17313, 1, 3, 5, 3, 27, 19, 59, 125, 409,
    979, 1203, 1737, 5269, 14755, 32173, 2127, 1, 1, 7, 11, 29, 19, 73, 63, 81,
    717, 933, 2939, 2863, 5993, 25953, 31733, 1, 3, 7, 5, 11, 19, 55, 223, 51,
    661, 547, 4055, 4849, 3009, 22303, 25, 1, 1, 7, 5, 7, 3, 55, 167, 207,
    819, 791, 3813, 2455, 1305, 4661, 51189, 1, 3, 7, 5, 29, 1, 31, 191, 267,
    705, 181, 3091, 4725, 12351, 31521, 56163, 1, 3, 3, 1, 19, 11, 27, 215, 249,
    713, 723, 143, 2179, 11075, 22059, 62629, 1, 1, 3, 3, 23, 45, 101, 25, 115,
    353, 565, 3491, 285, 2133, 27117, 42699, 1, 1, 5, 7, 1, 51, 113, 165, 157,
    431, 1043, 3003, 5971, 15699, 20799, 13989, 1, 3, 7, 5, 23, 21, 121, 85, 69,
    169, 1761, 1023, 5501, 1255, 25683, 48699, 1, 3, 5, 13, 21, 31, 95, 5, 237,
    607, 1525, 763, 4725, 4221, 22769, 40899, 1, 1, 5, 1, 1, 9, 105, 225, 171,
    999, 547, 2331, 4389, 12847, 18107, 11939, 1, 3, 5, 5, 15, 47, 73, 237, 463,
    501, 1611, 2259, 1679, 1709, 24527, 53529, 1, 3, 1, 7, 21, 27, 27, 25, 463,
    73, 2021, 3899, 487, 667, 5063, 5017, 1, 1, 3, 3, 15, 3, 87, 145, 45,
    473, 1455, 1857, 2379, 4805, 10557, 27485, 1, 1, 3, 13, 17, 15, 13, 237, 177,
    835, 1019, 975, 7085, 2871, 16473, 23693, 1, 1, 1, 1, 13, 61, 31, 197, 127,
    213, 173, 3751, 3819, 2899, 22675, 23095, 1, 3, 1, 15, 7, 63, 89, 95, 497,
    1021, 1751, 1379, 3809, 9493, 7941, 35217, 1, 3, 7, 3, 7, 63, 33, 155, 171,
    651, 773, 1861, 4225, 1081, 29141, 53413, 1, 1, 3, 7, 15, 27, 31, 183, 377,
    341, 205, 1817, 6185, 13047, 19585, 1533, 1, 1, 1, 7, 27, 23, 23, 117, 463,
    73, 529, 1727, 6989, 15911, 11783, 1011, 1, 1, 3, 7, 9, 43, 55, 191, 203,
    471, 515, 1315, 7911, 14281, 4767, 15725, 1, 1, 1, 15, 23, 13, 61, 231, 423,
    79, 421, 1619, 7951, 15541, 20985, 42181, 1, 1, 7, 3, 31, 29, 81, 125, 217,
    643, 449, 477, 4521, 2973, 13295, 943, 1, 3, 5, 3, 15, 37, 81, 167, 11,
    53, 1455, 3719, 1777, 7253, 16365, 17021, 1, 3, 7, 5, 25, 39, 95, 189, 453,
    697, 1761, 3837, 4697, 8429, 10455, 17239, 1, 1, 3, 5, 13, 43, 127, 251, 497,
    475, 105, 3137, 5927, 7569, 5645, 25315, 1, 3, 7, 9, 1, 23, 15, 129, 165,
    887, 1719, 2343, 1663, 1153, 25889, 10961, 1, 3, 1, 13, 29, 7, 37, 147, 369,
    697, 481, 1845, 4499, 4885, 3201, 6773, 1, 1, 1, 3, 25, 23, 49, 149, 435,
    561, 1233, 2821, 3121, 2825, 21237, 47491, 1, 1, 3, 3, 3, 59, 85, 205, 89,
    423, 701, 1179, 4875, 3351, 17863, 35111, 1, 1, 3, 1, 5, 51, 105, 85, 411,
    561, 155, 2809, 63, 8711, 12523, 28827, 1, 3, 7, 15, 29, 43, 103, 153, 105,
    819, 1861, 1725, 2225, 1821, 25551, 65399, 1, 1, 1, 13, 7, 51, 71, 177, 49,
    605, 1375, 737, 7325, 9597, 10239, 64761, 1, 3, 1, 3, 5, 15, 117, 187, 19,
    149, 119, 3375, 3203, 6827, 22073, 35757, 1, 1, 1, 5, 13, 25, 7, 157, 23,
    741, 465, 2225, 6697, 14371, 25115, 29699, 1, 3, 7, 13, 5, 29, 95, 209, 123,
    947, 1631, 423, 1217, 12353, 7561, 1415, 1, 3, 7, 11, 3, 17, 63, 65, 371,
    355, 1793, 1197, 2375, 3629, 13283, 41727, 1, 3, 1, 13, 5, 19, 103, 85, 271,
    123, 1939, 2741, 5105, 8693, 4291, 49389, 1, 3, 3, 1, 31, 1, 57, 13, 265,
    941, 1169, 3639, 5317, 10565, 30263, 64329, 1, 1, 7, 13, 7, 9, 115, 111, 301,
    365, 1, 3093, 3209, 2607, 5749, 17047, 1, 3, 1, 1, 5, 41, 113, 73, 407,
    427, 1271, 1361, 4869, 14845, 29515, 38769, 1, 3, 5, 13, 19, 47, 77, 27, 57,
    43, 1633, 197, 5465, 14735, 25187, 38621, 1, 3, 1, 5, 11, 55, 23, 213, 495,
    929, 697, 2829, 4185, 8321, 12673, 22759, 1, 1, 3, 9, 17, 29, 7, 41, 75,
    139, 1165, 3387, 6015, 3679, 8353, 29981, 1, 3, 3, 1, 21, 47, 95, 163, 121,
    877, 245, 3947, 3839, 15097, 4695, 26037, 1, 1, 7, 11, 19, 19, 7, 93, 77,
    887, 153, 237, 543, 2631, 22023, 17207, 1, 1, 7, 13, 7, 23, 39, 181, 107,
    313, 131, 3799, 981, 11145, 10969, 28733, 1, 3, 1, 11, 15, 45, 105, 187, 457,
    41, 1739, 3229, 4289, 107, 2685, 15601, 1, 1, 1, 9, 15, 53, 11, 87, 421,
    733, 1031, 121, 2413, 3383, 6525, 35781, 1, 3, 3, 11, 23, 15, 81, 13, 215,
    573, 1953, 379, 6857, 2137, 2599, 29589, 1, 3, 3, 9, 29, 17, 25, 121, 291,
    317, 81, 4073, 7111, 5045, 32685, 21527, 1, 1, 3, 11, 31, 53, 115, 179, 81,
    919, 955, 2301, 647, 11433, 17761, 8187, 1, 1, 5, 9, 17, 15, 105, 55, 303,
    505, 223, 1757, 3567, 9079, 29415, 37845, 1, 3, 7, 1, 23, 33, 33, 199, 119,
    911, 349, 3641, 5339, 12803, 27979, 17951, 1, 1, 3, 13, 15, 53, 43, 25, 31,
    609, 49, 1307, 6477, 2173, 32245, 34123, 1, 3, 1, 13, 11, 35, 55, 85, 381,
    733, 1407, 2821, 1547, 9843, 13861, 13529, 1, 1, 1, 5, 13, 11, 35, 255, 421,
    673, 387, 3429, 3137, 13619, 28689, 11145, 1, 3, 3, 9, 23, 61, 81, 25, 163,
    595, 769, 3455, 5371, 9711, 14937, 34383, 1, 3, 7, 13, 11, 11, 115, 93, 307,
    807, 1667, 483, 4815, 6305, 5197, 281, 1, 1, 7, 15, 29, 31, 113, 129, 483,
    369, 855, 643, 7503, 1699, 20681, 51497, 1, 1, 3, 9, 3, 41, 7, 255, 171,
    1003, 559, 775, 5333, 11563, 22473, 44299, 1, 1, 5, 15, 23, 51, 101, 161, 433,
    757, 713, 403, 1789, 5353, 28901, 14249, 1, 3, 7, 9, 27, 5, 9, 71, 47,
    287, 369, 653, 7595, 10127, 12547, 34119, 1, 1, 3, 7, 5, 33, 19, 183, 497,
    209, 1999, 2897, 2553, 633, 7413, 7847, 1, 3, 3, 13, 27, 19, 73, 181, 15,
    297, 1485, 2167, 5033, 11191, 24999, 30177, 1, 1, 1, 13, 5, 47, 111, 239, 259,
    1019, 241, 2521, 1599, 4655, 5725, 56623, 1, 3, 1, 7, 29, 37, 29, 223, 413,
    307, 939, 2009, 3961, 9481, 9121, 23927, 1, 1, 3, 13, 17, 37, 7, 121, 387,
    573, 1751, 3431, 7199, 15041, 14453, 45757, 1, 3, 3, 7, 31, 53, 29, 247, 23,
    579, 1919, 2925, 321, 653, 25925, 49439, 1, 3, 5, 5, 5, 55, 109, 193, 125,
    823, 1707, 2389, 4135, 5197, 12563, 5977, 1, 3, 3, 7, 25, 47, 1, 145, 491,
    661, 1125, 2567, 6783, 15009, 31871, 46645, 1, 3, 3, 7, 13, 43, 105, 69, 25,
    157, 923, 1997, 4383, 14935, 8821, 6383, 1, 1, 7, 1, 23, 41, 51, 215, 509,
    117, 1871, 3025, 4295, 8327, 23887, 53039, 1, 1, 7, 1, 17, 9, 41, 89, 227,
    909, 523, 3755, 3527, 12117, 12455, 18087, 1, 3, 1, 11, 19, 1, 77, 73, 139,
    707, 163, 2715, 819, 8401, 24751, 24619, 1, 3, 3, 15, 11, 55, 31, 89, 383,
    429, 269, 1593, 4929, 12037, 17279, 6489, 1, 1, 7, 13, 5, 19, 65, 43, 257,
    711, 349, 3231, 3169, 11759, 19069, 29043, 1, 3, 7, 15, 5, 51, 31, 245, 197,
    685, 1527, 3409, 4925, 8923, 10927, 62873, 1, 1, 7, 15, 31, 31, 61, 111, 327,
    785, 97, 2659, 4777, 14187, 19731, 5195, 1, 3, 5, 13, 7, 53, 3, 97, 109,
    537, 1395, 1919, 4447, 4067, 30137, 60659, 1, 3, 7, 11, 19, 45, 51, 107, 161,
    269, 1003, 2363, 311, 7051, 25943, 20881, 1, 3, 7, 11, 27, 49, 79, 187, 265,
    903, 1547, 1147, 8049, 10451, 15371, 43705, 1, 3, 5, 1, 9, 25, 29, 229, 229,
    337, 1821, 2377, 1325, 15079, 28661, 46107, 1, 3, 7, 9, 29, 13, 121, 121, 229,
    523, 707, 2577, 7637, 9257, 31031, 56527, 1, 1, 5, 9, 11, 41, 111, 59, 347,
    295, 895, 3477, 149, 6747, 14671, 3405, 1, 1, 3, 11, 17, 17, 77, 105, 65,
    831, 1969, 41, 1001, 2753, 4427, 25655, 1, 1, 5, 9, 7, 37, 55, 121, 51,
    155, 443, 321, 1845, 11587, 28855, 13905, 1, 3, 3, 15, 9, 51, 1, 1, 453,
    193, 1615, 2085, 3685, 15933, 18913, 46073, 1, 1, 1, 9, 31, 29, 59, 55, 33,
    413, 1261, 1367, 1895, 10291, 575, 12241, 1, 3, 3, 9, 7, 11, 1, 207, 351,
    357, 77, 4059, 3951, 4589, 11861, 43855, 1, 1, 1, 9, 15, 1, 77, 227, 377,
    25, 1665, 3693, 8129, 10059, 19517, 51103, 1, 3, 5, 15, 25, 43, 103, 3, 477,
    87, 1943, 1163, 7619, 8345, 25321, 36191, 1, 1, 1, 5, 13, 5, 99, 11, 33,
    113, 1905, 2559, 2679, 15005, 12859, 19233, 1, 3, 5, 3, 9, 61, 79, 95, 71,
    963, 1367, 1843, 3179, 10633, 5451, 64379, 1, 1, 1, 5, 11, 11, 67, 11, 133,
    759, 1823, 3281, 6741, 4995, 21753, 17093, 1, 1, 7, 5, 29, 41, 31, 17, 381,
    741, 567, 1009, 4781, 8953, 12397, 51833, 1, 3, 3, 7, 9, 61, 35, 203, 69,
    633, 477, 2839, 1917, 12097, 28693, 42999, 1, 1, 3, 11, 29, 25, 1, 219, 343,
    249, 1077, 125, 3197, 5877, 28407, 59627, 1, 1, 3, 1, 25, 37, 113, 125, 253,
    947, 1103, 1283, 3493, 7129, 17881, 21279, 1, 3, 7, 15, 29, 43, 125, 203, 495,
    421, 1725, 1673, 3635, 8161, 3753, 46323, 1, 1, 5, 1, 9, 7, 73, 117, 397,
    521, 1699, 2715, 6149, 2337, 30623, 3943, 1, 3, 5, 7, 13, 17, 121, 163, 491,
    111, 1589, 351, 303, 7395, 5731, 65513, 1, 1, 1, 3, 11, 1, 19, 179, 295,
    595, 897, 1929, 1379, 13651, 19067, 43507, 1, 3, 5, 15, 29, 51, 19, 221, 67,
    507, 213, 1873, 6051, 11191, 31475, 23447, 1, 3, 5, 3, 13, 35, 97, 75, 195,
    569, 1047, 2607, 1549, 9495, 5945, 7581, 1, 3, 3, 15, 23, 41, 125, 101, 415,
    927, 1421, 2043, 8035, 4077, 11133, 17333, 1, 3, 7, 3, 5, 51, 111, 129, 29,
    469, 991, 2595, 165, 13987, 30077, 63491, 1, 3, 1, 3, 1, 17, 93, 7, 511,
    3, 861, 3979, 2173, 6571, 30099, 12907, 1, 1, 7, 5, 9, 29, 43, 153, 83,
    961, 1585, 3615, 4409, 1937, 24107, 45235, 1, 1, 3, 1, 19, 29, 81, 183, 197,
    565, 1455, 2993, 6731, 2749, 1013, 27777, 1, 3, 7, 1, 17, 11, 121, 245, 103,
    851, 1367, 141, 1257, 719, 25581, 48999, 1, 1, 5, 15, 15, 17, 33, 255, 113,
    715, 1497, 3137, 1415, 7791, 28563, 28415, 1, 1, 3, 9, 7, 45, 19, 143, 73,
    95, 317, 1777, 7263, 11833, 25181, 27137, 1, 1, 5, 3, 15, 49, 71, 57, 101,
    95, 667, 2745, 6387, 14167, 661, 31809, 1, 1, 7, 3, 7, 11, 119, 5, 3,
    383, 933, 293, 5507, 3025, 18865, 26577, 1, 1, 7, 9, 21, 57, 113, 173, 103,
    743, 1573, 2165, 2909, 14253, 2303, 51939, 1, 3, 3, 9, 11, 29, 85, 239, 501,
    123, 1149, 165, 6341, 10205, 18829, 32327, 1, 3, 1, 15, 21, 15, 63, 117, 217,
    701, 299, 2887, 1341, 1617, 15163, 45899, 1, 3, 3, 13, 25, 63, 91, 225, 399,
    765, 1719, 3169, 1645, 10445, 1109, 13021, 1, 1, 3, 13, 3, 9, 115, 35, 59,
    145, 551, 2601, 1737, 9753, 7665, 30995, 1, 1, 5, 9, 1, 33, 37, 173, 385,
    635, 1419, 1377, 3161, 1915, 30933, 46117, 1, 1, 7, 9, 21, 35, 65, 227, 329,
    797, 61, 3409, 3911, 751, 21951, 11969, 1, 3, 1, 13, 13, 33, 29, 197, 183,
    979, 979, 1629, 6017, 8645, 4007, 52377, 1, 1, 5, 7, 5, 17, 29, 117, 197,
    163, 685, 2561, 2849, 5441, 32031, 25761, 1, 3, 1, 5, 9, 17, 59, 237, 33,
    11, 399, 3543, 7273, 8239, 15191, 57529, 1, 1, 3, 7, 1, 45, 75, 107, 123,
    909, 389, 3549, 4961, 15671, 14139, 29273, 1, 3, 7, 3, 23, 3, 93, 73, 265,
    889, 27, 805, 6021, 5851, 7181, 35309, 1, 3, 1, 9, 23, 61, 17, 89, 495,
    813, 1189, 1137, 7363, 6075, 3053, 28313, 1, 1, 3, 13, 3, 1, 9, 133, 63,
    417, 843, 2481, 5703, 11095, 867, 28097, 1, 1, 5, 9, 23, 15, 113, 23, 199,
    863, 1751, 765, 1917, 2145, 5391, 4629, 1, 3, 3, 11, 13, 59, 127, 115, 341,
    311, 677, 2305, 19, 13871, 9297, 4023, 1, 1, 5, 7, 13, 3, 25, 195, 403,
    323, 515, 2809, 983, 8699, 10205, 14719, 1, 1, 1, 13, 5, 33, 123, 213, 99,
    889, 1151, 3339, 4855, 3677, 30627, 23225, 1, 1, 7, 9, 21, 19, 77, 85, 155,
    379, 119, 81, 1937, 3589, 22645, 51585, 1, 1, 3, 1, 5, 11, 121, 111, 423,
    927, 1551, 2207, 3589, 691, 8519, 61261, 1, 3, 5, 3, 1, 59, 25, 111, 415,
    41, 623, 2505, 6075, 973, 10419, 26877, 1, 3, 3, 11, 15, 57, 43, 27, 177,
    733, 1521, 3629, 3003, 15351, 26327, 32921, 1, 3, 3, 13, 1, 37, 3, 183, 349,
    731, 1583, 2787, 6233, 14787, 16299, 4663, 1, 3, 7, 15, 29, 47, 59, 79, 265,
    193, 503, 2393, 643, 14341, 21055, 43803, 1, 3, 1, 9, 11, 43, 75, 77, 493,
    411, 145, 227, 3045, 363, 19879, 41017, 1, 1, 5, 3, 1, 49, 87, 3, 377,
    795, 1905, 2959, 3743, 1459, 32493, 6283, 1, 3, 1, 13, 13, 13, 39, 83, 131,
    935, 599, 1871, 7293, 11749, 6627, 58295, 1, 1, 5, 3, 15, 9, 107, 239, 453,
    53, 1825, 1493, 3611, 9993, 12535, 38879, 1, 3, 5, 7, 1, 21, 93, 189, 477,
    923, 13, 3797, 8147, 8417, 21473, 62305, 1, 3, 3, 15, 21, 47, 75, 183, 425,
    281, 813, 571, 1017, 565, 8541, 52977, 1, 1, 5, 13, 29, 53, 25, 217, 111,
    605, 1771, 1827, 7245, 16063, 10769, 57483, 1, 3, 5, 7, 9, 27, 99, 75, 171,
    299, 1751, 841, 4717, 7373, 14241, 7435, 1, 3, 7, 3, 27, 13, 121, 69, 453,
    1009, 1353, 3289, 3221, 9127, 29967, 60919, 1, 1, 1, 11, 5, 41, 81, 151, 479,
    599, 1751, 2841, 5721, 1725, 3465, 23385, 1, 1, 3, 11, 7, 7, 35, 169, 35,
    255, 1657, 297, 3855, 2071, 10929, 15907, 1, 1, 1, 3, 25, 1, 43, 139, 165,
    535, 95, 2769, 8105, 6865, 20297, 64539, 1, 3, 7, 7, 21, 27, 11, 209, 279,
    769, 1961, 101, 2103, 4529, 4987, 29097, 1, 1, 1, 11, 29, 37, 45, 65, 75,
    729, 1773, 4023, 7671, 6259, 22339, 45735, 1, 3, 7, 5, 25, 3, 41, 139, 365,
    915, 111, 611, 7609, 6259, 12247, 58671, 1, 1, 7, 15, 11, 45, 95, 121, 3,
    491, 1779, 1055, 7051, 15499, 17301, 13081, 1, 1, 1, 13, 5, 43, 105, 173, 267,
    263, 873, 953, 5945, 11417, 23799, 54591, 1, 1, 1, 9, 1, 55, 15, 73, 87,
    49, 1651, 775, 6485, 9543, 26199, 30419, 1, 3, 1, 3, 11, 5, 35, 37, 451,
    85, 943, 4017, 6795, 8915, 28551, 45097, 1, 3, 7, 11, 11, 51, 93, 237, 487,
    515, 1511, 383, 7571, 4673, 29395, 21659, 1, 1, 3, 1, 11, 63, 113, 253, 99,
    733, 2001, 3767, 7431, 12131, 25203, 22251, 1, 3, 3, 1, 11, 29, 37, 181, 299,
    9, 11, 317, 1079, 13441, 8925, 15847, 1, 1, 5, 5, 5, 9, 77, 67, 165,
    273, 1161, 65, 7157, 13531, 2987, 1169, 1, 3, 5, 7, 9, 57, 17, 209, 357,
    901, 1113, 61, 5751, 2255, 29677, 56397, 1, 1, 5, 11, 7, 5, 7, 53, 397,
    279, 1387, 2447, 115, 2043, 19287, 45753, 1, 3, 3, 15, 25, 41, 45, 33, 167,
    801, 1929, 1173, 1525, 3725, 22407, 37077, 1, 3, 1, 11, 13, 61, 107, 181, 179,
    51, 1379, 3573, 7319, 4843, 10023, 28725, 1, 1, 5, 3, 11, 61, 61, 1, 211,
    557, 417, 899, 4651, 3375, 19423, 11719, 1, 3, 1, 13, 9, 5, 117, 217, 193,
    911, 991, 155, 3011, 4759, 30953, 63939, 1, 3, 1, 13, 21, 7, 77, 29, 457,
    923, 871, 147, 5177, 13949, 1977, 27515, 1, 3, 1, 3, 5, 39, 83, 133, 471,
    355, 615, 1627, 2471, 59, 21449, 52293, 1, 3, 7, 13, 23, 57, 97, 3, 385,
    255, 1565, 3479, 5587, 15101, 27153, 9239, 1, 3, 5, 5, 13, 25, 99, 19, 49,
    655, 1823, 641, 619, 5913, 11379, 23781, 1, 1, 1, 5, 21, 1, 91, 3, 31,
    19, 19, 3627, 1575, 1439, 7473, 36215, 1, 3, 5, 13, 29, 61, 1, 151, 291,
    315, 965, 3435, 1849, 13069, 9785, 41345, 1, 3, 3, 15, 17, 9, 97, 69, 233,
    925, 1933, 3861, 89, 7889, 28853, 64959, 1, 3, 3, 3, 5, 51, 67, 175, 341,
    191, 1643, 3327, 763, 327, 28069, 15317, 1, 3, 5, 3, 3, 37, 109, 43, 465,
    57, 489, 915, 6943, 7947, 9229, 5647, 1, 1, 7, 7, 27, 1, 85, 171, 185,
    615, 1451, 237, 1597, 4255, 24429, 34357, 1, 3, 1, 7, 29, 35, 69, 237, 117,
    841, 1549, 2093, 105, 10197, 5229, 59299, 1, 3, 5, 3, 7, 33, 73, 81, 385,
    177, 1849, 773, 1085, 5539, 29213, 30635, 1, 3, 7, 15, 15, 47, 53, 207, 337,
    479, 775, 2851, 725, 14779, 29653, 35949, 1, 1, 3, 9, 15, 53, 53, 87, 315,
    929, 919, 907, 6893, 4647, 2019, 57879, 1, 3, 5, 11, 5, 31, 21, 9, 215,
    599, 617, 3737, 787, 10513, 17907, 22221, 1, 3, 3, 3, 27, 5, 27, 157, 423,
    197, 1757, 2451, 6317, 1557, 6641, 12621, 1, 1, 5, 9, 19, 17, 109, 37, 329,
    217, 1265, 3073, 6243, 6179, 25921, 9001, 1, 3, 5, 15, 13, 13, 103, 79, 399,
    897, 1241, 2847, 5913, 2267, 5367, 26337, 1, 1, 3, 1, 17, 41, 19, 213, 123,
    123, 1103, 1125, 2819, 7643, 26391, 20935, 1, 1, 1, 5, 29, 27, 79, 143, 93,
    311, 433, 1945, 2783, 13787, 4473, 23279, 1, 3, 1, 1, 13, 49, 39, 21, 117,
    933, 169, 551, 2871, 9879, 3715, 25143, 1, 3, 1, 3, 29, 15, 5, 89, 255,
    779, 495, 2335, 6029, 8733, 5687, 40189, 1, 1, 5, 3, 5, 61, 37, 231, 395,
    175, 711, 1149, 4819, 10119, 24929, 37155, 1, 1, 7, 3, 7, 49, 81, 221, 193,
    685, 2029, 3979, 5071, 2965, 18951, 21497, 1, 1, 3, 5, 11, 17, 29, 153, 379,
    387, 1271, 1261, 817, 5913, 22395, 885, 1, 1, 1, 1, 3, 37, 89, 255, 337,
    135, 535, 1087, 7987, 8107, 22953, 18709, 1, 1, 5, 11, 25, 29, 15, 223, 181,
    879, 1661, 1605, 3777, 5221, 7253, 22951, 1, 3, 1, 1, 3, 9, 57, 239, 439,
    669, 1069, 2001, 2689, 9569, 24151, 54337, 1, 1, 1, 11, 7, 47, 21, 31, 35,
    739, 1229, 2929, 5221, 6715, 32275, 42743, 1, 3, 1, 7, 19, 3, 85, 55, 397,
    875, 949, 2835, 6077, 1069, 13307, 5897, 1, 3, 7, 15, 11, 57, 113, 193, 191,
    53, 1319, 1585, 4797, 13903, 24875, 50229, 1, 3, 7, 7, 15, 17, 29, 125, 387,
    775, 411, 1283, 6069, 10909, 14221, 52811, 1, 3, 7, 15, 17, 47, 73, 143, 133,
    1009, 1671, 2307, 2991, 10319, 3161, 665, 1, 3, 7, 11, 23, 29, 115, 77, 167,
    667, 1983, 3985, 1449, 10055, 27947, 63501, 1, 1, 3, 11, 27, 61, 83, 173, 427,
    161, 1349, 297, 1579, 9929, 32663, 44385, 1, 1, 7, 9, 19, 31, 73, 233, 109,
    991, 1381, 3223, 4033, 4447, 4773, 61631, 1, 1, 3, 5, 17, 53, 71, 201, 181,
    395, 1305, 2049, 4317, 12689, 23133, 13401, 1, 3, 1, 1, 13, 63, 17, 107, 149,
    739, 1829, 2441, 3491, 1649, 15839, 13021, 1, 1, 1, 3, 3, 15, 35, 247, 95,
    973, 1625, 3097, 6075, 14331, 8345, 12225, 1, 3, 3, 7, 9, 21, 5, 85, 431,
    317, 1313, 1981, 7761, 2857, 18659, 58677, 1, 3, 3, 1, 25, 23, 5, 213, 345,
    119, 1979, 1023, 6849, 9587, 2519, 57219, 1, 1, 5, 11, 17, 1, 15, 213, 21,
    435, 1719, 3065, 6197, 8993, 8479, 17383, 1, 1, 3, 5, 17, 35, 97, 167, 411,
    57, 145, 663, 1319, 16029, 1649, 13097, 1, 3, 3, 9, 13, 1, 89, 179, 355,
    655, 1217, 1421, 4303, 2705, 30107, 45801, 1, 1, 7, 1, 23, 49, 67, 119, 139,
    397, 983, 3537, 1463, 10395, 4717, 50885, 1, 1, 1, 9, 9, 9, 95, 75, 489,
    459, 951, 1829, 5017, 8703, 6229, 18921, 1, 3, 7, 5, 7, 55, 89, 75, 231,
    141, 1611, 2275, 1953, 6389, 12899, 45117, 1, 3, 1, 1, 25, 53, 91, 25, 425,
    275, 189, 863, 5777, 6179, 12273, 3473, 1, 1, 7, 15, 5, 17, 75, 83, 357,
    523, 1075, 1981, 3993, 13133, 16441, 53935, 1, 3, 7, 5, 15, 13, 103, 89, 309,
    961, 771, 1441, 1449, 15867, 20019, 22303, 1, 3, 5, 9, 7, 47, 33, 117, 151,
    77, 893, 867, 2523, 13975, 20649, 15673, 1, 3, 5, 15, 5, 15, 57, 149, 405,
    523, 763, 4071, 5915, 3255, 22243, 46779, 1, 3, 7, 5, 17, 39, 53, 181, 65,
    541, 1995, 3213, 3837, 3527, 2433, 23527, 1, 3, 5, 3, 17, 9, 5, 79, 299,
    441, 1891, 3607, 5087, 14629, 31767, 21443, 1, 1, 5, 11, 1, 47, 25, 13, 201,
    691, 507, 2041, 3169, 2909, 5341, 7643, 1, 1, 1, 1, 31, 55, 109, 97, 335,
    835, 933, 839, 3271, 14323, 25319, 18807, 1, 3, 7, 9, 19, 21, 19, 79, 449,
    1007, 1559, 3143, 2633, 11691, 3273, 17381, 1, 1, 3, 9, 3, 61, 105, 255, 327,
    649, 11, 715, 2629, 8425, 165, 6235, 1, 3, 5, 11, 9, 39, 45, 161, 421,
    243, 1589, 157, 5309, 9769, 28229, 12947, 1, 3, 3, 13, 15, 17, 75, 23, 189,
    601, 737, 687, 3387, 11913, 17245, 16073, 1, 1, 1, 3, 25, 45, 73, 243, 171,
    179, 617, 2039, 4937, 963, 10791, 48989, 1, 1, 7, 3, 3, 61, 123, 27, 3,
    385, 1357, 3773, 1639, 353, 21277, 52013, 1, 3, 5, 9, 27, 19, 49, 255, 213,
    753, 297, 601, 4905, 15889, 18055, 31511, 1, 1, 7, 9, 1, 19, 93, 251, 279,
    21, 891, 859, 4637, 2587, 17659, 19485, 1, 3, 3, 11, 29, 55, 69, 151, 445,
    947, 719, 3935, 4625, 9321, 25645, 39153, 1, 3, 7, 5, 23, 57, 79, 21, 353,
    7, 295, 3379, 3505, 15409, 9117, 19745, 1, 1, 5, 13, 7, 5, 41, 249, 429,
    999, 1945, 1097, 795, 8647, 23297, 60707, 1, 1, 5, 13, 3, 57, 105, 175, 345,
    53, 455, 1549, 5291, 6757, 12637, 45159, 1, 3, 3, 11, 5, 31, 5, 69, 373,
    453, 1861, 1061, 6339, 3857, 13979, 24015, 1, 1, 5, 11, 19, 41, 113, 183, 299,
    197, 397, 1597, 6471, 14855, 26067, 2705, 1, 1, 1, 13, 15, 59, 89, 73, 45,
    891, 1285, 1565, 4675, 10669, 3067, 40585, 1, 1, 5, 7, 1, 51, 59, 27, 275,
    961, 765, 3003, 1677, 2093, 15083, 51929, 1, 1, 5, 15, 19, 37, 101, 247, 223,
    39, 2009, 3155, 6357, 13513, 30965, 36485, 1, 1, 5, 1, 27, 9, 71, 231, 115,
    1, 719, 873, 4895, 4031, 23581, 17529, 1, 1, 3, 9, 1, 63, 13, 187, 325,
    199, 1165, 491, 1361, 15377, 9463, 5077, 1, 3, 3, 7, 9, 13, 71, 17, 213,
    915, 1779, 401, 5315, 2161, 14765, 11301, 1, 3, 7, 15, 5, 5, 3, 137, 17,
    197, 1559, 3077, 4615, 923, 2143, 16743, 1, 1, 3, 5, 13, 19, 77, 155, 285,
    209, 1089, 2213, 3131, 11685, 13287, 10439, 1, 1, 1, 9, 7, 11, 35, 113, 165,
    795, 1657, 483, 4937, 5209, 19801, 13831, 1, 1, 7, 9, 29, 1, 67, 131, 277,
    919, 1267, 3907, 2561, 2469, 25321, 17769, 1, 3, 5, 3, 25, 39, 93, 5, 151,
    905, 201, 1499, 4069, 4691, 8293, 945, 1, 3, 3, 3, 3, 59, 47, 13, 79,
    157, 231, 1105, 5449, 10889, 2625, 53303, 1, 3, 7, 15, 13, 23, 25, 171, 391,
    497, 57, 4089, 3849, 6121, 1561, 29977, 1, 3, 7, 5, 17, 19, 33, 193, 351,
    189, 619, 2091, 7881, 12689, 3799, 1199, 1, 3, 7, 7, 5, 35, 23, 219, 247,
    377, 439, 3421, 2729, 7169, 24373, 48533, 1, 1, 1, 13, 23, 33, 77, 37, 347,
    831, 1525, 2383, 6483, 15377, 22761, 51647, 1, 1, 3, 9, 5, 51, 89, 207, 131,
    969, 463, 3917, 5985, 10797, 25183, 35637, 1, 1, 1, 15, 9, 45, 99, 25, 7,
    279, 541, 879, 6681, 2591, 31667, 51957, 1, 1, 5, 1, 19, 13, 59, 119, 195,
    385, 1715, 823, 7631, 9547, 27099, 30967, 1, 1, 3, 13, 21, 29, 9, 17, 51,
    819, 365, 1855, 1505, 13923, 27397, 25347, 1, 3, 1, 9, 21, 1, 17, 109, 435,
    887, 1951, 923, 181, 8365, 1531, 5533, 1, 3, 1, 15, 7, 29, 101, 221, 151,
    49, 1655, 2889, 7179, 1019, 10765, 49489, 1, 3, 1, 13, 27, 15, 25, 249, 31,
    187, 1875, 2937, 5831, 13499, 27997, 8003, 1, 3, 1, 5, 13, 55, 111, 231, 71,
    245, 479, 2487, 7967, 10911, 12853, 56217, 1, 1, 7, 7, 15, 13, 77, 37, 497,
    899, 1527, 275, 517, 10323, 2329, 19267, 1, 3, 5, 5, 13, 1, 17, 201, 211,
    153, 1377, 347, 3481, 6785, 23745, 54849, 1, 1, 1, 13, 23, 29, 55, 91, 249,
    815, 1375, 3081, 1445, 13763, 29983, 24581, 1, 1, 5, 15, 23, 19, 65, 31, 105,
    797, 957, 1741, 4189, 3313, 17183, 34345, 1, 1, 7, 13, 23, 51, 13, 119, 19,
    901, 1985, 3269, 3753, 5365, 3871, 30099, 1, 1, 1, 1, 13, 11, 3, 59, 45,
    1007, 121, 1433, 1559, 15593, 187, 55939, 1, 3, 7, 13, 7, 15, 17, 227, 143,
    889, 1011, 1195, 3849, 12643, 27303, 10473, 1, 3, 7, 11, 9, 63, 35, 181, 301,
    945, 853, 877, 2983, 9945, 31237, 12011, 1, 1, 1, 5, 23, 17, 111, 15, 429,
    925, 299, 173, 3379, 2407, 11999, 44485, 1, 1, 5, 5, 31, 55, 103, 227, 93,
    15, 399, 1559, 3107, 5729, 24069, 55711, 1, 3, 7, 7, 25, 5, 107, 57, 23,
    1005, 27, 2881, 2591, 10939, 8613, 50351, 1, 1, 5, 1, 19, 23, 107, 65, 11,
    643, 1337, 3197, 1583, 8797, 6047, 55749, 1, 1, 1, 9, 3, 61, 31, 67, 369,
    755, 1263, 2711, 1341, 15465, 25337, 20607, 1, 3, 7, 7, 23, 53, 95, 223, 225,
    627, 471, 1203, 7689, 3211, 24697, 21153, 1, 3, 7, 1, 3, 29, 45, 15, 247,
    45, 345, 4063, 3819, 263, 9705, 27991, 1, 3, 3, 1, 3, 55, 127, 247, 87,
    969, 1409, 2105, 4133, 1213, 2719, 37043, 1, 1, 5, 15, 9, 15, 71, 9, 421,
    1, 1367, 2557, 2121, 2919, 29167, 7035, 1, 3, 7, 5, 21, 35, 7, 1, 429,
    491, 1077, 499, 2915, 13217, 25153, 327, 1, 1, 3, 9, 7, 57, 37, 235, 97,
    357, 1171, 705, 7111, 5217, 13167, 38395, 1, 3, 7, 7, 9, 55, 43, 173, 429,
    287, 355, 3009, 1667, 1845, 11477, 25437, 1, 3, 7, 3, 13, 41, 41, 239, 421,
    347, 1423, 797, 7435, 16195, 3501, 56213, 1, 3, 7, 13, 25, 59, 67, 49, 363,
    125, 365, 2517, 915, 2865, 25361, 24823, 1, 3, 7, 1, 31, 55, 109, 213, 19,
    843, 1457, 851, 7245, 13587, 30111, 58737, 1, 1, 5, 5, 7, 29, 111, 121, 511,
    401, 411, 3073, 3617, 4447, 12443, 49051, 1, 3, 3, 9, 5, 55, 89, 231, 343,
    869, 465, 1421, 701, 13565, 12469, 62381, 1, 3, 3, 13, 7, 9, 91, 147, 37,
    917, 1717, 2221, 5795, 7127, 21599, 28335, 1, 3, 1, 3, 9, 51, 109, 43, 411,
    477, 549, 1901, 4295, 2915, 5701, 29005, 1, 1, 3, 9, 11, 51, 5, 81, 413,
    461, 143, 2695, 2091, 8435, 14217, 60831, 1, 3, 5, 13, 1, 15, 17, 239, 219,
    75, 339, 1565, 5029, 6351, 19429, 21483, 1, 1, 3, 5, 13, 7, 101, 215, 395,
    387, 1215, 1967, 4141, 643, 14623, 58609, 1, 3, 5, 13, 17, 29, 85, 201, 327,
    855, 1971, 335, 6201, 5933, 6131, 3179, 1, 3, 3, 13, 3, 49, 25, 223, 207,
    477, 671, 1881, 3639, 10867, 22953, 58725, 1, 1, 1, 5, 21, 23, 31, 57, 387,
    881, 343, 1781, 3241, 10939, 5569, 37555, 1, 1, 3, 1, 25, 3, 117, 153, 155,
    61, 127, 3871, 7883, 11791, 18529, 55395, 1, 1, 7, 9, 15, 15, 89, 197, 109,
    221, 317, 2827, 2159, 847, 2527, 9463, 1, 3, 5, 9, 25, 11, 39, 185, 457,
    831, 637, 527, 2829, 4411, 4713, 53597, 1, 3, 7, 15, 5, 27, 45, 123, 385,
    217, 907, 2877, 2703, 15987, 24963, 41659, 1, 3, 1, 13, 9, 31, 7, 225, 77,
    227, 175, 1471, 3305, 4521, 6345, 55509, 1, 3, 1, 5, 21, 33, 37, 3, 121,
    605, 1121, 537, 1771, 14415, 8323, 21795, 1, 3, 7, 5, 23, 23, 45, 231, 97,
    535, 861, 1349, 6611, 7445, 25231, 50737, 1, 3, 1, 9, 11, 13, 61, 155, 483,
    391, 615, 899, 5099, 4895, 2919, 60239, 1, 3, 3, 1, 31, 9, 47, 209, 405,
    493, 103, 59, 3609, 12889, 6501, 32869, 1, 1, 7, 13, 15, 57, 23, 153, 57,
    369, 1833, 1287, 4487, 3195, 19587, 24373, 1, 3, 7, 3, 25, 45, 51, 117, 293,
    701, 1909, 659, 637, 3375, 23223, 29707, 1, 3, 7, 15, 1, 27, 13, 227, 369,
    143, 1167, 1787, 4815, 1143, 7789, 16467, 1, 1, 5, 1, 13, 5, 63, 75, 13,
    411, 1123, 459, 6323, 10445, 1303, 43103, 1, 3, 1, 9, 29, 21, 93, 49, 135,
    525, 121, 1299, 5931, 13115, 32567, 60605, 1, 3, 3, 11, 25, 59, 77, 181, 39,
    345, 1375, 2067, 3909, 8023, 6409, 12571, 1, 3, 5, 15, 15, 55, 95, 183, 269,
    931, 285, 1945, 2105, 10589, 19787, 64461, 1, 1, 1, 5, 31, 19, 51, 109, 455,
    877, 905, 2403, 2021, 573, 29837, 46871, 1, 3, 1, 9, 21, 23, 9, 201, 143,
    661, 289, 621, 6729, 9573, 6359, 14981, 1, 3, 5, 5, 15, 53, 41, 57, 201,
    37, 2047, 4045, 6501, 15641, 22031, 25851, 1, 1, 7, 7, 17, 3, 31, 31, 165,
    765, 1101, 1161, 7247, 16383, 27715, 20835, 1, 3, 3, 13, 7, 41, 81, 55, 345,
    913, 1457, 3801, 6937, 3781, 21125, 36899, 1, 1, 3, 11, 21, 61, 57, 89, 341,
    877, 639, 3051, 6541, 2133, 11187, 9613, 1, 3, 3, 5, 3, 29, 3, 193, 331,
    333, 1613, 3755, 6489, 4851, 10421, 11257, 1, 3, 3, 13, 15, 29, 115, 135, 283,
    363, 905, 3199, 733, 7785, 5237, 20657, 1, 3, 5, 7, 3, 31, 89, 219, 61,
    573, 1773, 677, 7447, 4625, 17011, 57851, 1, 3, 1, 7, 9, 31, 121, 219, 27,
    583, 1769, 3667, 4415, 6789, 28069, 11833, 1, 1, 3, 1, 29, 11, 63, 201, 33,
    153, 1075, 641, 5923, 10485, 24573, 29423, 1, 1, 3, 13, 17, 5, 87, 237, 243,
    231, 915, 1755, 4021, 2127, 26147, 28397, 1, 3, 3, 3, 21, 49, 53, 163, 415,
    553, 505, 3309, 4987, 16163, 14439, 30921, 1, 3, 1, 13, 9, 59, 89, 113, 203,
    485, 177, 2243, 5267, 7105, 5297, 23333, 1, 3, 1, 1, 13, 21, 107, 183, 243,
    985, 499, 385, 2409, 9317, 17393, 1913, 1, 3, 3, 13, 21, 47, 59, 21, 71,
    523, 1843, 3131, 5907, 15401, 7957, 51365, 1, 3, 1, 3, 17, 19, 75, 195, 171,
    11, 57, 303, 6801, 1825, 25027, 28587, 1, 3, 5, 15, 13, 47, 19, 161, 47,
    385, 1227, 261, 5855, 1439, 18605, 55645, 1, 1, 5, 11, 23, 13, 87, 197, 507,
    921, 1813, 579, 3585, 5117, 30913, 5739, 1, 1, 1, 5, 21, 7, 3, 103, 475,
    929, 1189, 1005, 2933, 1377, 30183, 58513, 1, 1, 3, 11, 27, 51, 25, 139, 431,
    275, 1541, 1459, 5787, 9865, 15077, 25965, 1, 3, 7, 15, 19, 33, 85, 5, 119,
    523, 11, 1459, 3807, 3959, 31321, 1905, 1, 3, 1, 15, 9, 25, 107, 51, 149,
    437, 995, 397, 753, 12421, 30637, 22865, 1, 3, 1, 9, 25, 13, 11, 129, 371,
    497, 597, 1257, 7291, 4021, 16223, 21489, 1, 3, 5, 1, 5, 17, 119, 107, 267,
    27, 87, 3641, 593, 4671, 16129, 25645, 1, 3, 1, 7, 19, 55, 39, 159, 283,
    551, 321, 1979, 1259, 10049, 15195, 62799, 1, 3, 7, 3, 23, 43, 63, 187, 399,
    725, 419, 1759, 5477, 4743, 13397, 21347, 1, 1, 1, 7, 3, 45, 55, 207, 33,
    695, 1109, 1427, 5425, 4743, 28949, 54665, 1, 1, 5, 5, 19, 1, 97, 151, 465,
    767, 1931, 1097, 7001, 5761, 30323, 17501, 1, 3, 1, 9, 9, 11, 9, 165, 181,
    711, 45, 1163, 11, 9127, 31361, 11259, 1, 3, 3, 1, 23, 23, 7, 115, 243,
    281, 847, 3091, 6383, 4593, 13507, 58001, 1, 1, 3, 13, 27, 3, 123, 91, 47,
    483, 1913, 2139, 3877, 16373, 31969, 42977, 1, 1, 1, 3, 11, 9, 35, 3, 155,
    585, 1193, 1887, 1657, 2479, 18803, 47309, 1, 3, 3, 5, 5, 57, 79, 77, 205,
    361, 505, 2505, 2959, 1345, 8165, 46001, 1, 1, 1, 5, 29, 25, 35, 209, 193,
    177, 291, 1095, 7137, 4323, 673, 37571, 1, 3, 5, 5, 27, 29, 107, 161, 93,
    585, 1061, 3281, 5565, 5093, 4511, 45327, 1, 3, 7, 7, 15, 43, 41, 61, 425,
    451, 1775, 345, 7851, 12907, 9467, 25705, 1, 1, 1, 15, 31, 37, 105, 227, 155,
    201, 653, 2343, 4601, 1331, 9193, 28423, 1, 1, 5, 9, 31, 61, 19, 165, 491,
    121, 159, 485, 7847, 4993, 30405, 22889, 1, 3, 1, 5, 27, 35, 81, 231, 345,
    519, 849, 539, 627, 16141, 26509, 8965, 1, 1, 3, 3, 7, 33, 81, 51, 415,
    785, 1617, 669, 4749, 737, 15557, 61779, 1, 3, 5, 15, 5, 39, 47, 199, 313,
    193, 1797, 2425, 327, 5111, 275, 45933, 1, 3, 1, 5, 1, 27, 61, 1, 435,
    1005, 665, 3099, 1153, 12721, 25537, 62559, 1, 3, 7, 9, 29, 43, 97, 213, 43,
    333, 25, 3085, 2709, 5917, 5887, 3847, 1, 1, 7, 5, 17, 27, 93, 45, 205,
    29, 2035, 4053, 6525, 12321, 26175, 43979, 1, 1, 3, 3, 9, 41, 23, 215, 163,
    531, 1753, 2377, 5533, 8681, 12213, 36789, 1, 3, 1, 3, 7, 13, 25, 111, 439,
    695, 1855, 2437, 4477, 10207, 4089, 43521, 1, 1, 3, 9, 23, 7, 85, 123, 361,
    913, 1817, 1547, 7969, 9731, 10553, 53879, 1, 1, 7, 13, 29, 25, 5, 129, 211,
    511, 45, 907, 1997, 15657, 9003, 47267, 1, 3, 1, 9, 15, 49, 13, 131, 43,
    295, 1569, 2675, 7857, 15515, 9189, 33061, 1, 3, 7, 9, 29, 3, 85, 125, 403,
    583, 1507, 73, 4701, 1117, 12271, 11387, 1, 1, 3, 5, 3, 15, 1, 63, 319,
    43, 913, 3029, 557, 3087, 18605, 39477, 1, 1, 7, 13, 31, 51, 99, 103, 343,
    835, 313, 2025, 7109, 5373, 20821, 55649, 1, 1, 3, 7, 7, 21, 53, 123, 189,
    1013, 427, 2773, 6567, 5241, 29647, 41591, 1, 1, 1, 3, 29, 53, 127, 159, 327,
    999, 1357, 989, 4401, 10949, 32555, 5097, 1, 3, 1, 9, 31, 11, 75, 47, 307,
    251, 1845, 1543, 6901, 3959, 18371, 40149, 1, 1, 7, 11, 31, 47, 81, 17, 17,
    21, 807, 3115, 5447, 11191, 2357, 2263, 1, 1, 5, 13, 25, 41, 93, 135, 251,
    165, 805, 1805, 2895, 11725, 6389, 21875, 1, 1, 5, 5, 19, 37, 19, 247, 25,
    241, 767, 2883, 5951, 531, 22893, 47493, 1, 3, 1, 11, 31, 49, 23, 199, 337,
    311, 1929, 2703, 4339, 6477, 1821, 4729, 1, 1, 3, 11, 7, 59, 119, 3, 289,
    951, 1387, 2999, 6617, 14551, 22081, 14187, 1, 1, 5, 5, 13, 33, 37, 97, 501,
    247, 651, 209, 7517, 2847, 3549, 16479, 1, 1, 3, 1, 25, 45, 83, 207, 115,
    1023, 543, 2851, 3383, 4177, 25567, 2797, 1, 3, 3, 5, 7, 9, 127, 243, 501,
    653, 1071, 2547, 6995, 10811, 4791, 50157, 1, 1, 1, 11, 27, 61, 65, 117, 373,
    191, 1643, 1057, 6013, 15167, 18815, 4225, 1, 1, 1, 11, 9, 25, 105, 225, 247,
    609, 325, 2761, 515, 9985, 6977, 57207, 1, 1, 7, 15, 5, 43, 33, 45, 301,
    1017, 1881, 83, 95, 10417, 2307, 6915, 1, 3, 1, 3, 25, 43, 27, 81, 249,
    239, 1671, 1215, 3139, 7961, 28509, 27099, 1, 1, 3, 1, 17, 29, 49, 81, 503,
    429, 2037, 2243, 7509, 12359, 14681, 21661, 1, 3, 5, 3, 3, 63, 71, 71, 375,
    999, 11, 2475, 4491, 7439, 5915, 63169, 1, 1, 7, 13, 31, 35, 91, 27, 151,
    893, 525, 1913, 2795, 10377, 1173, 44175, 1, 1, 7, 15, 23, 11, 69, 77, 133,
    307, 1589, 2795, 1183, 1491, 4661, 51315, 1, 1, 7, 3, 27, 37, 9, 67, 481,
    113, 7, 1679, 217, 6195, 18147, 50839, 1, 1, 5, 1, 3, 37, 53, 127, 19,
    177, 1851, 921, 1009, 9577, 24637, 2491, 1, 3, 7, 5, 19, 33, 65, 25, 333,
    749, 1577, 143, 6731, 2411, 25579, 57987, 1, 1, 5, 3, 29, 45, 89, 179, 147,
    411, 1831, 2209, 499, 3141, 17357, 23229, 1, 1, 5, 1, 25, 41, 105, 165, 369,
    241, 299, 875, 1231, 469, 4203, 27117, 1, 3, 1, 5, 29, 35, 95, 235, 229,
    797, 411, 71, 4571, 2341, 4095, 28185, 1, 1, 1, 7, 21, 33, 23, 59, 195,
    539, 1131, 3799, 8093, 8247, 6283, 44143, 1, 1, 5, 15, 11, 15, 45, 99, 73,
    983, 1047, 361, 2925, 1985, 20379, 63235, 1, 3, 7, 5, 25, 7, 29, 129, 257,
    1015, 1823, 23, 5031, 12153, 13511, 57897, 1, 1, 1, 7, 15, 39, 57, 173, 391,
    979, 569, 2051, 3221, 9561, 24331, 39791, 1, 1, 3, 15, 1, 51, 25, 79, 373,
    639, 5, 3237, 2983, 12491, 15991, 12467, 1, 1, 7, 15, 17, 21, 103, 55, 233,
    605, 597, 1867, 2147, 11047, 1173, 27237, 1, 1, 7, 11, 11, 25, 43, 63, 143,
    829, 1357, 2199, 5219, 15981, 15615, 22207, 1, 1, 3, 13, 17, 53, 121, 131, 501,
    355, 533, 2343, 6515, 9115, 29065, 64569, 1, 3, 5, 15, 27, 57, 5, 105, 327,
    861, 931, 3085, 5051, 12687, 22409, 57487, 1, 1, 5, 15, 1, 53, 65, 97, 315,
    413, 37, 2563, 4805, 2327, 10261, 7281, 1, 3, 5, 9, 19, 57, 15, 75, 161,
    245, 1215, 1735, 4567, 109, 8467, 43139, 1, 3, 1, 11, 21, 55, 95, 11, 193,
    959, 793, 3321, 5865, 301, 7887, 7389, 1, 1, 1, 7, 31, 35, 27, 89, 247,
    491, 1087, 3955, 6317, 1337, 21619, 11739, 1, 1, 7, 13, 21, 59, 53, 211, 403,
    851, 887, 1457, 539, 4493, 16571, 55429, 1, 1, 1, 7, 23, 33, 69, 129, 33,
    203, 267, 3261, 4179, 9653, 22523, 18779, 1, 1, 3, 9, 31, 35, 7, 189, 253,
    583, 1475, 939, 2977, 5573, 20047, 38915, 1, 3, 3, 13, 19, 25, 61, 237, 479,
    821, 1173, 599, 7035, 12695, 433, 26499, 1, 3, 7, 3, 27, 47, 29, 31, 327,
    687, 495, 987, 1655, 951, 29265, 28641, 1, 1, 3, 1, 25, 29, 15, 139, 417,
    837, 2011, 3703, 7809, 421, 207, 18961, 1, 3, 3, 13, 7, 29, 19, 63, 257,
    695, 161, 3023, 149, 10707, 20873, 61881, 1, 3, 3, 7, 5, 9, 69, 31, 487,
    525, 1441, 5, 3891, 14473, 22123, 40041, 1, 3, 7, 15, 13, 37, 75, 181, 431,
    753, 1587, 595, 2567, 8155, 23199, 50647, 1, 1, 5, 1, 21, 63, 39, 245, 171,
    217, 1643, 887, 2349, 2415, 31673, 51007, 1, 3, 5, 9, 19, 33, 107, 227, 187,
    163, 1071, 2385, 2701, 15969, 18665, 62089, 1, 1, 1, 15, 27, 47, 25, 219, 139,
    879, 459, 1521, 2153, 3429, 28293, 57703, 1, 3, 3, 15, 15, 63, 23, 237, 137,
    271, 117, 3047, 3973, 3379, 11527, 52555, 1, 3, 7, 1, 19, 27, 19, 111, 441,
    279, 321, 2015, 4451, 11841, 17223, 51691, 1, 3, 3, 1, 15, 35, 19, 31, 277,
    977, 1125, 2435, 5171, 81, 31729, 18883, 1, 3, 1, 15, 19, 31, 105, 13, 117,
    533, 191, 3651, 6915, 2423, 31819, 47709, 1, 1, 5, 11, 29, 45, 17, 51, 283,
    297, 1605, 3009, 3137, 2665, 27799, 2293, 1, 3, 5, 13, 29, 61, 91, 7, 23,
    835, 1809, 3283, 1091, 10443, 26547, 10685, 1, 3, 5, 1, 1, 29, 121, 181, 43,
    827, 871, 3547, 4285, 12551, 2079, 19385, 1, 1, 1, 7, 3, 53, 73, 39, 1,
    499, 1905, 3785, 1597, 1529, 9423, 11555, 1, 1, 5, 5, 27, 25, 33, 59, 327,
    419, 1527, 255, 6877, 3927, 11877, 21747, 1, 1, 3, 11, 27, 37, 99, 161, 213,
    321, 1127, 523, 5327, 7885, 17403, 2097, 1, 1, 1, 3, 5, 11, 119, 153, 503,
    1007, 187, 1705, 7499, 12739, 16185, 11121, 1, 1, 3, 1, 27, 63, 29, 239, 5,
    377, 831, 2883, 2167, 2551, 29891, 6165, 1, 3, 7, 11, 5, 57, 33, 15, 425,
    93, 1435, 1449, 1629, 999, 27037, 51171, 1, 1, 5, 13, 1, 31, 83, 19, 373,
    497, 1173, 775, 439, 5757, 32143, 52487, 1, 1, 5, 11, 15, 43, 73, 19, 259,
    145, 1771, 2133, 6969, 8571, 29821, 19581, 1, 3, 3, 5, 25, 63, 43, 95, 215,
    853, 127, 3737, 4803, 10089, 3537, 14671, 1, 1, 3, 1, 31, 17, 1, 139, 199,
    841, 1859, 1767, 1545, 4869, 14501, 11729, 1, 3, 5, 13, 29, 57, 43, 143, 55,
    893, 1219, 2415, 7605, 11091, 3441, 45749, 1, 3, 7, 13, 27, 11, 27, 15, 67,
    49, 967, 1919, 1773, 9135, 4607, 65495, 1, 1, 1, 5, 7, 11, 63, 39, 209,
    41, 951, 63, 1537, 9971, 9659, 17825, 1, 3, 7, 7, 27, 25, 57, 53, 91,
    1013, 591, 261, 721, 2061, 629, 37817, 1, 1, 5, 15, 23, 35, 71, 43, 343,
    329, 295, 3523, 275, 2119, 15165, 2809, 1, 1, 5, 13, 19, 3, 121, 67, 165,
    909, 1731, 437, 8055, 11683, 12735, 29129, 1, 3, 5, 7, 21, 47, 113, 55, 169,
    133, 2029, 825, 4079, 14651, 22373, 15009, 1, 1, 5, 7, 25, 23, 61, 147, 211,
    665, 395, 505, 3757, 14545, 10683, 53211, 1, 1, 1, 3, 17, 25, 111, 171, 493,
    815, 847, 2109, 8013, 751, 26793, 62903, 1, 3, 7, 11, 7, 27, 91, 61, 385,
    3, 577, 3515, 4335, 4261, 6053, 62513, 1, 3, 7, 5, 17, 5, 21, 217, 227,
    443, 1479, 2855, 2581, 6255, 23363, 37437, 1, 1, 5, 5, 5, 51, 5, 213, 233,
    787, 719, 463, 2595, 4019, 16839, 14671, 1, 1, 1, 15, 11, 5, 49, 135, 85,
    773, 1719, 2187, 449, 14913, 19721, 59583, 1, 1, 1, 13, 3, 49, 77, 217, 289,
    889, 63, 2547, 5547, 14005, 18657, 65109, 1, 3, 5, 9, 11, 47, 19, 251, 77,
    623, 1253, 635, 1047, 525, 8573, 25951, 1, 1, 1, 13, 5, 21, 35, 187, 395,
    547, 2003, 3189, 4107, 567, 29239, 32647, 1, 1, 3, 13, 13, 61, 59, 57, 91,
    881, 1665, 453, 6313, 2291, 19523, 60439, 1, 1, 3, 3, 7, 7, 7, 127, 411,
    643, 1415, 2933, 6649, 4219, 31781, 8733, 1, 3, 1, 1, 25, 29, 127, 235, 271,
    831, 1909, 2347, 7085, 8339, 22459, 48791, 1, 3, 7, 11, 21, 19, 31, 5, 509,
    713, 767, 1801, 6937, 1763, 20703, 10153, 1, 3, 5, 3, 9, 35, 55, 215, 75,
    733, 1773, 1373, 43, 5045, 17675, 29615, 1, 3, 5, 13, 25, 27, 33, 167, 277,
    231, 449, 1055, 6227, 1441, 29535, 30421, 1, 1, 5, 15, 31, 63, 69, 137, 41,
    67, 965, 3737, 3191, 2613, 8229, 47453, 1, 1, 3, 7, 9, 13, 97, 31, 279,
    525, 185, 1673, 1269, 8305, 29745, 5799, 1, 3, 3, 13, 27, 47, 97, 185, 483,
    787, 1049, 4073, 1985, 2129, 15099, 33307, 1, 1, 7, 13, 21, 25, 97, 49, 377,
    75, 1875, 2389, 1381, 6691, 30447, 23969, 1, 1, 7, 1, 3, 55, 111, 185, 371,
    331, 1471, 1211, 1523, 5393, 21763, 44333, 1, 3, 1, 3, 19, 39, 35, 49, 433,
    937, 869, 239, 7775, 9591, 16969, 43455, 1, 3, 3, 11, 21, 11, 11, 201, 187,
    409, 1603, 3471, 1473, 5283, 7109, 53219, 1, 3, 1, 1, 13, 55, 91, 37, 71,
    837, 1779, 1097, 7433, 5969, 22781, 28547, 1, 3, 3, 11, 9, 41, 29, 125, 151,
    51, 667, 1387, 6695, 7957, 20469, 20987, 1, 3, 1, 7, 23, 17, 91, 79, 249,
    123, 1141, 2201, 7139, 5749, 20655, 18111, 1, 3, 5, 11, 1, 35, 5, 219, 255,
    549, 1159, 1641, 5063, 457, 24023, 61667, 1, 1, 5, 9, 23, 45, 85, 81, 41,
    327, 1923, 2043, 6737, 13609, 1833, 30563, 1, 3, 3, 1, 9, 15, 81, 137, 353,
    509, 799, 787, 5371, 4863, 29781, 40405, 1, 3, 7, 5, 31, 17, 109, 123, 455,
    155, 253, 1541, 2265, 16015, 32309, 40837, 1, 1, 5, 15, 21, 59, 109, 3, 367,
    411, 1601, 3577, 3155, 1659, 15193, 32453, 1, 3, 5, 3, 3, 21, 123, 125, 163,
    233, 125, 947, 1023, 7435, 30777, 14615, 1, 3, 5, 9, 15, 29, 31, 101, 427,
    379, 379, 1123, 1411, 10523, 24017, 43629, 1, 1, 5, 15, 1, 27, 43, 239, 91,
    967, 991, 2827, 6135, 1035, 25925, 42605, 1, 3, 7, 9, 11, 53, 83, 127, 51,
    1021, 2017, 593, 1445, 14597, 6517, 19667, 1, 3, 7, 15, 9, 1, 17, 235, 321,
    571, 1315, 3993, 5825, 8065, 13885, 48815, 1, 1, 1, 15, 3, 7, 5, 197, 89,
    23, 711, 1601, 3577, 737, 27565, 43365, 1, 1, 5, 3, 19, 35, 15, 99, 177,
    1013, 905, 755, 667, 21, 27039, 56601, 1, 1, 3, 9, 13, 37, 37, 73, 75,
    827, 169, 2417, 5457, 13851, 5443, 15731, 1, 1, 3, 11, 11, 23, 21, 159, 59,
    633, 1719, 203, 5655, 15887, 9067, 33597, 1, 1, 7, 7, 27, 11, 55, 139, 309,
    721, 99, 3371, 1411, 4531, 12751, 37745, 1, 1, 1, 13, 31, 33, 37, 43, 125,
    11, 1441, 3947, 7455, 6097, 15333, 32601, 1, 1, 3, 15, 9, 43, 79, 217, 247,
    229, 171, 3607, 4155, 1675, 3945, 41499, 1, 1, 1, 9, 5, 59, 25, 175, 209,
    291, 1419, 2339, 7039, 1327, 19653, 11563, 1, 1, 3, 11, 5, 1, 103, 197, 111,
    891, 163, 361, 2885, 3443, 25481, 47399, 1, 3, 7, 1, 21, 49, 35, 179, 339,
    505, 1121, 2393, 1181, 11389, 5851, 30553, 1, 3, 7, 15, 31, 3, 23, 205, 3,
    861, 1767, 1971, 2279, 4901, 22077, 54183, 1, 3, 7, 11, 11, 1, 3, 165, 129,
    767, 2007, 1913, 3701, 5761, 1985, 42383, 1, 3, 3, 5, 3, 39, 31, 73, 55,
    805, 545, 1577, 1409, 5693, 31995, 58057, 1, 3, 1, 15, 21, 9, 69, 17, 497,
    1003, 1123, 4023, 1921, 723, 19815, 11583, 1, 1, 7, 1, 13, 31, 61, 189, 1,
    805, 1321, 1973, 4133, 7789, 9735, 50237, 1, 3, 7, 5, 1, 39, 67, 189, 139,
    891, 171, 693, 5639, 12841, 12223, 64009, 1, 1, 3, 1, 7, 1, 115, 41, 283,
    463, 53, 1349, 3233, 7247, 28515, 23931, 1, 3, 3, 1, 25, 31, 49, 177, 339,
    103, 701, 3059, 6557, 8669, 13923, 46913, 1, 1, 5, 5, 7, 47, 7, 153, 481,
    1005, 615, 2483, 3519, 5297, 21749, 55945, 1, 3, 5, 15, 15, 43, 105, 121, 419,
    181, 1945, 3501, 3443, 5555, 27925, 18357, 1, 3, 3, 5, 5, 63, 107, 225, 17,
    503, 2033, 2059, 2621, 12675, 25015, 15115, 1, 3, 5, 13, 5, 33, 39, 143, 293,
    793, 159, 1349, 5483, 9303, 8269, 58221, 1, 1, 1, 3, 13, 21, 15, 11, 489,
    921, 47, 7, 7677, 3281, 1339, 1447, 1, 1, 3, 11, 19, 61, 29, 45, 355,
    671, 1029, 455, 5611, 14655, 22871, 17303, 1, 1, 1, 11, 3, 29, 93, 83, 425,
    689, 437, 1943, 457, 2497, 2573, 56827, 1, 3, 7, 1, 3, 39, 17, 243, 475,
    13, 199, 413, 5503, 1559, 8615, 5339, 1, 1, 5, 13, 7, 17, 55, 243, 465,
    957, 1347, 3247, 4613, 10821, 17377, 21765, 1, 1, 3, 5, 15, 49, 109, 113, 19,
    1007, 967, 685, 3195, 467, 1269, 27705, 1, 3, 3, 15, 31, 25, 73, 73, 483,
    565, 1739, 641, 4085, 10481, 30053, 52773, 1, 1, 1, 1, 31, 17, 35, 85, 339,
    93, 479, 2833, 681, 3123, 3753, 63989, 1, 3, 7, 5, 25, 17, 23, 47, 83,
    59, 1525, 2445, 4831, 2605, 20711, 34129, 1, 3, 7, 9, 11, 29, 111, 239, 81,
    855, 2039, 4051, 4619, 14095, 15765, 17195, 1, 1, 5, 9, 17, 29, 105, 175, 497,
    741, 1151, 767, 7211, 14699, 9351, 22163, 1, 1, 3, 9, 23, 17, 23, 193, 25,
    883, 347, 2429, 4023, 5477, 9365, 30625, 1, 1, 7, 13, 31, 57, 115, 119, 413,
    733, 1095, 3877, 4021, 8415, 16129, 49425, 1, 3, 1, 3, 13, 39, 127, 97, 389,
    993, 1941, 847, 5109, 8499, 18653, 20615, 1, 1, 3, 7, 9, 33, 21, 11, 357,
    653, 1423, 3525, 277, 13085, 2525, 16547, 1, 3, 3, 1, 3, 63, 55, 137, 229,
    359, 703, 2555, 3117, 9323, 3483, 52999, 1, 3, 7, 1, 23, 7, 67, 119, 239,
    951, 495, 645, 3047, 12393, 14837, 33015, 1, 1, 5, 15, 23, 33, 19, 75, 365,
    419, 905, 3485, 1097, 10639, 8627, 57441, 1, 1, 3, 3, 5, 37, 83, 163, 483,
    403, 1467, 309, 5113, 3567, 28425, 63963, 1, 3, 3, 15, 21, 63, 59, 103, 261,
    355, 1779, 1589, 7447, 10909, 23197, 31539, 1, 1, 3, 11, 9, 39, 121, 7, 383,
    975, 179, 505, 1551, 15397, 28277, 53023, 1, 1, 5, 3, 31, 15, 29, 81, 291,
    843, 507, 1291, 4533, 5333, 18841, 58999, 1, 3, 1, 3, 3, 15, 107, 93, 15,
    349, 1359, 151, 4859, 10435, 3669, 31713, 1, 3, 5, 1, 21, 1, 45, 167, 25,
    123, 905, 115, 2953, 15029, 31475, 37235, 1, 3, 5, 11, 9, 35, 115, 49, 61,
    29, 1529, 1311, 6293, 13505, 15033, 31879, 1, 3, 1, 1, 1, 19, 21, 199, 489,
    463, 1761, 2295, 2011, 14179, 22955, 22451, 1, 3, 1, 3, 21, 59, 71, 27, 425,
    459, 177, 2301, 4703, 5589, 12799, 44729, 1, 3, 7, 15, 11, 43, 103, 207, 315,
    805, 469, 4009, 4589, 9627, 13309, 929, 1, 3, 5, 15, 3, 45, 49, 59, 25,
    371, 859, 2687, 3767, 7395, 24579, 2657, 1, 3, 3, 1, 13, 1, 39, 115, 497,
    291, 1187, 3109, 6731, 7591, 2551, 49121, 1, 3, 1, 1, 11, 37, 75, 39, 377,
    67, 291, 1275, 7893, 16261, 27093, 30007, 1, 1, 5, 15, 27, 31, 117, 145, 435,
    739, 1855, 2703, 6125, 16333, 16209, 11649, 1, 3, 5, 7, 5, 37, 3, 173, 461,
    535, 295, 3097, 6275, 15703, 20079, 45413, 1, 1, 5, 13, 9, 39, 39, 113, 113,
    315, 697, 2433, 7637, 9895, 17979, 13837, 1, 1, 7, 11, 7, 35, 113, 255, 309,
    389, 757, 1649, 1871, 311, 3531, 15617, 1, 1, 7, 5, 25, 7, 87, 99, 249,
    687, 57, 2291, 3315, 14677, 15225, 16859, 1, 1, 7, 1, 11, 23, 91, 25, 209,
    227, 567, 183, 7419, 9873, 10653, 41705, 1, 1, 1, 13, 19, 17, 47, 79, 187,
    185, 187, 3959, 4221, 389, 1733, 62413, 1, 3, 7, 9, 1, 27, 109, 59, 223,
    451, 865, 3623, 2545, 6531, 14837, 40749, 1, 1, 3, 7, 5, 9, 69, 201, 145,
    445, 1787, 1995, 691, 11387, 21391, 19185, 1, 3, 7, 3, 15, 31, 61, 121, 295,
    93, 1157, 2821, 2907, 6995, 17563, 4613, 1, 3, 5, 3, 3, 41, 43, 199, 319,
    903, 1699, 3599, 6567, 12851, 21253, 49715, 1, 1, 5, 1, 25, 59, 7, 107, 405,
    365, 1159, 2357, 1645, 16353, 31521, 13587, 1, 3, 3, 1, 29, 25, 109, 181, 475,
    117, 809, 2741, 5113, 9973, 31763, 20201, 1, 3, 3, 9, 29, 43, 51, 239, 359,
    137, 419, 43, 4091, 11107, 2121, 5057, 1, 3, 1, 7, 13, 17, 65, 151, 289,
    37, 1321, 3853, 7513, 3161, 6517, 27777, 1, 1, 3, 13, 13, 31, 125, 13, 507,
    491, 669, 2913, 8067, 4257, 11413, 8003, 1, 1, 7, 1, 23, 57, 125, 227, 341,
    647, 907, 1503, 1541, 14311, 10591, 49967, 1, 3, 1, 15, 25, 29, 83, 39, 141,
    545, 1213, 2001, 6627, 8701, 19205, 2859, 1, 1, 7, 13, 11, 25, 93, 91, 471,
    907, 793, 3045, 8137, 5095, 12445, 41967, 1, 1, 5, 1, 25, 45, 13, 191, 373,
    371, 1321, 3381, 3945, 9097, 7785, 44469, 1, 3, 3, 13, 13, 19, 53, 189, 183,
    115, 1957, 91, 113, 5839, 23783, 63959, 1, 3, 1, 7, 3, 19, 71, 219, 393,
    369, 107, 3729, 7457, 12379, 28647, 54159, 1, 1, 1, 9, 5, 43, 15, 125, 297,
    145, 1837, 2143, 305, 793, 14663, 313, 1, 3, 1, 5, 17, 57, 67, 51, 211,
    817, 2023, 1615, 4379, 12165, 30433, 44479, 1, 1, 7, 1, 9, 49, 71, 231, 159,
    179, 2027, 4043, 1053, 3679, 9035, 4173, 1, 3, 7, 3, 17, 5, 33, 151, 223,
    331, 1777, 2467, 7949, 2571, 9099, 58751, 1, 3, 1, 15, 5, 23, 85, 113, 369,
    607, 505, 1791, 1597, 12933, 28853, 13207, 1, 1, 5, 15, 11, 39, 107, 81, 345,
    815, 2025, 803, 1779, 15499, 26197, 6045, 1, 3, 1, 9, 1, 3, 41, 29, 213,
    295, 1561, 2631, 6231, 3255, 11309, 22853, 1, 3, 7, 9, 19, 21, 127, 57, 425,
    551, 171, 903, 7747, 5251, 11457, 57735, 1, 1, 1, 11, 29, 5, 33, 221, 91,
    435, 1341, 1627, 4269, 8689, 19, 9609, 1, 3, 1, 9, 11, 1, 101, 219, 45,
    317, 793, 823, 2449, 7911, 3739, 2441, 1, 3, 5, 7, 25, 51, 103, 179, 481,
    999, 675, 1693, 193, 9987, 18519, 16777, 1, 3, 5, 5, 15, 59, 83, 61, 329,
    537, 1293, 459, 5059, 7943, 3569, 34727, 1, 3, 3, 9, 29, 17, 41, 171, 303,
    123, 1945, 1383, 5823, 1569, 10699, 14585, 1, 1, 1, 11, 7, 11, 35, 193, 69,
    487, 879, 693, 6367, 7381, 11463, 50741, 1, 3, 1, 11, 9, 17, 5, 155, 443,
    543, 643, 1595, 319, 2877, 27849, 8365, 1, 3, 7, 15, 3, 43, 111, 219, 35,
    595, 541, 3299, 4117, 265, 2817, 60825, 1, 3, 5, 5, 13, 15, 45, 211, 21,
    1019, 1015, 1051, 2879, 15077, 19851, 6615, 1, 1, 7, 13, 15, 59, 7, 201, 215,
    217, 967, 2013, 907, 12073, 9105, 44873, 1, 1, 1, 13, 1, 3, 117, 253, 493,
    727, 1997, 3325, 2757, 11313, 7439, 18863, 1, 1, 7, 11, 5, 23, 97, 169, 63,
    243, 419, 3259, 2521, 13055, 3223, 36055, 1, 1, 5, 9, 9, 9, 63, 69, 305,
    391, 1901, 2785, 7877, 7219, 10727, 13115, 1, 1, 3, 7, 1, 63, 83, 27, 417,
    537, 1969, 3083, 4267, 11153, 11205, 61249, 1, 3, 3, 1, 11, 47, 79, 201, 449,
    569, 809, 1575, 271, 651, 5459, 24805, 1, 3, 7, 15, 29, 25, 103, 95, 57,
    209, 1175, 2579, 3735, 1969, 29903, 65397, 1, 3, 5, 1, 25, 41, 7, 239, 175,
    395, 1261, 2567, 4875, 279, 25905, 43603, 1, 3, 7, 1, 27, 7, 89, 111, 467,
    691, 39, 1213, 5377, 13247, 31513, 58015, 1, 1, 1, 15, 25, 1, 55, 131, 259,
    923, 1623, 125, 2273, 4221, 21857, 49621, 1, 1, 5, 3, 27, 1, 99, 95, 199,
    773, 87, 2981, 8127, 6493, 27507, 52789, 1, 1, 5, 9, 11, 39, 7, 7, 145,
    933, 1301, 2975, 5237, 11619, 1423, 46351, 1, 1, 7, 5, 17, 3, 29, 233, 195,
    727, 1893, 3709, 1285, 12877, 30821, 30383, 1, 3, 7, 15, 1, 7, 115, 55, 231,
    769, 849, 1043, 3041, 5187, 14613, 58821, 1, 3, 7, 3, 13, 41, 5, 245, 109,
    785, 187, 391, 3333, 8193, 823, 27985, 1, 1, 5, 11, 9, 33, 25, 231, 347,
    313, 31, 59, 6189, 4249, 26963, 56975, 1, 1, 5, 5, 27, 57, 87, 77, 209,
    231, 173, 3691, 8095, 10353, 14217, 3263, 1, 3, 1, 7, 1, 55, 115, 63, 13,
    705, 865, 1901, 4209, 8195, 25245, 2313, 1, 3, 5, 1, 13, 3, 53, 215, 345,
    635, 1601, 241, 6491, 911, 5825, 34247, 1, 1, 5, 5, 27, 21, 69, 83, 451,
    33, 773, 2663, 5325, 16207, 15073, 32259, 1, 1, 3, 9, 25, 33, 1, 35, 335,
    355, 2005, 3087, 4577, 10533, 23641, 45297, 1, 3, 3, 7, 21, 43, 103, 223, 269,
    781, 1445, 461, 6777, 5251, 6483, 14425, 1, 3, 7, 7, 21, 55, 113, 227, 227,
    173, 575, 3187, 3965, 13569, 4809, 16217, 1, 1, 5, 5, 23, 23, 67, 99, 257,
    651, 495, 3427, 7653, 505, 2549, 9283, 1, 1, 5, 5, 15, 39, 123, 27, 1,
    5, 107, 4055, 7347, 6411, 28857, 45591, 1, 3, 1, 5, 29, 57, 77, 67, 365,
    25, 1475, 3583, 4315, 6725, 22635, 62003, 1, 3, 1, 1, 11, 9, 19, 25, 399,
    467, 501, 2081, 977, 7695, 12997, 11841, 1, 1, 5, 15, 19, 37, 39, 69, 75,
    343, 525, 433, 6771, 8697, 6041, 49701, 1, 1, 3, 1, 21, 31, 5, 193, 467,
    161, 929, 3967, 2629, 3031, 30715, 45539, 1, 3, 3, 9, 25, 17, 87, 179, 385,
    491, 965, 2809, 6937, 2669, 20963, 13333, 1, 3, 1, 7, 25, 1, 83, 47, 99,
    425, 1007, 2903, 2959, 12403, 19707, 60863, 1, 1, 1, 15, 5, 19, 3, 181, 255,
    135, 791, 3473, 3123, 5247, 28349, 5581, 1, 1, 5, 13, 27, 13, 93, 215, 333,
    667, 251, 2027, 6345, 8985, 22669, 46509, 1, 1, 5, 9, 1, 27, 83, 107, 339,
    699, 1197, 635, 2367, 6791, 9743, 9685, 1, 3, 1, 7, 11, 43, 9, 37, 511,
    177, 1957, 2697, 1879, 8219, 27525, 17737, 1, 3, 1, 5, 3, 35, 81, 137, 193,
    439, 35, 3743, 2973, 10245, 17111, 12025, 1, 3, 3, 9, 3, 51, 7, 103, 65,
    787, 1859, 1217, 8189, 2917, 2161, 64559, 1, 3, 5, 5, 31, 9, 53, 45, 167,
    877, 1169, 2375, 6631, 9699, 8345, 27223, 1, 3, 5, 9, 1, 33, 113, 205, 153,
    255, 63, 1517, 5225, 14485, 22053, 53333, 1, 1, 1, 1, 7, 45, 95, 211, 13,
    769, 1909, 1049, 2465, 11581, 2983, 55267, 1, 1, 5, 3, 7, 27, 3, 47, 503,
    7, 1223, 1979, 815, 12593, 4229, 30539, 1, 3, 7, 15, 9, 3, 103, 217, 199,
    567, 943, 1527, 7191, 15243, 26311, 44263, 1, 3, 5, 11, 29, 13, 107, 107, 35,
    367, 849, 4047, 6027, 8155, 10963, 9941, 1, 1, 7, 1, 27, 49, 89, 59, 479,
    477, 1351, 2165, 7611, 9745, 7023, 22153, 1, 1, 3, 1, 5, 7, 21, 91, 13,
    547, 493, 813, 4325, 751, 14753, 52131, 1, 3, 1, 3, 23, 7, 55, 69, 335,
    127, 1669, 2171, 6033, 3713, 16855, 36479, 1, 3, 3, 9, 17, 35, 117, 85, 415,
    1019, 15, 3033, 2933, 2113, 10909, 107, 1, 1, 7, 3, 13, 45, 61, 31, 115,
    569, 21, 375, 1955, 10699, 17307, 20119, 1, 1, 1, 13, 29, 29, 101, 137, 457,
    845, 39, 461, 5113, 1429, 25443, 60127, 1, 1, 1, 3, 29, 39, 35, 45, 269,
    327, 2023, 2799, 4893, 3751, 7579, 56975, 1, 1, 3, 3, 3, 49, 45, 219, 133,
    279, 2003, 4007, 409, 3697, 11629, 19359, 1, 3, 5, 9, 25, 21, 85, 61, 131,
    69, 1277, 249, 6265, 10245, 32575, 59735, 1, 3, 5, 7, 1, 11, 63, 125, 57,
    17, 111, 3521, 7397, 10985, 10193, 45493, 1, 3, 5, 13, 31, 37, 115, 139, 203,
    199, 559, 67, 7187, 5825, 6755, 43, 1, 3, 3, 15, 7, 33, 41, 59, 487,
    711, 247, 1095, 4113, 11349, 26331, 33159, 1, 3, 7, 15, 25, 61, 57, 129, 409,
    589, 1913, 1293, 7981, 8027, 789, 19655, 1, 1, 5, 11, 29, 33, 55, 165, 315,
    757, 1213, 2071, 4827, 6905, 7087, 22317, 1, 3, 3, 1, 5, 7, 115, 161, 247,
    91, 397, 1889, 2445, 13407, 20077, 50953, 1, 1, 5, 1, 31, 43, 53, 67, 183,
    85, 285, 475, 3345, 7783, 25383, 26213, 1, 1, 1, 3, 21, 27, 127, 229, 135,
    795, 287, 937, 5645, 2271, 26095, 18407, 1, 3, 5, 13, 27, 39, 109, 183, 1,
    343, 695, 3825, 4347, 8399, 30219, 41839, 1, 1, 1, 3, 31, 3, 93, 139, 145,
    107, 1311, 1919, 6631, 16363, 17473, 38661, 1, 3, 3, 1, 23, 7, 17, 131, 505,
    335, 19, 1037, 6985, 15181, 24857, 37363, 1, 3, 7, 13, 5, 17, 51, 243, 221,
    149, 801, 3179, 1929, 14145, 16541, 36911, 1, 3, 1, 7, 15, 5, 19, 93, 117,
    21, 1517, 2041, 5281, 7579, 23087, 37619, 1, 3, 5, 1, 21, 33, 5, 187, 471,
    483, 249, 1075, 4831, 5467, 2921, 60803, 1, 1, 1, 1, 27, 57, 23, 185, 397,
    945, 495, 2097, 7561, 1111, 30773, 61855, 1, 1, 5, 5, 31, 53, 71, 125, 365,
    947, 1685, 2871, 313, 5199, 11179, 18717, 1, 3, 7, 13, 23, 41, 83, 79, 427,
    877, 281, 3205, 865, 8021, 3423, 28111, 1, 1, 3, 1, 29, 39, 11, 247, 45,
    339, 1153, 1179, 6495, 6861, 15247, 44515, 1, 3, 1, 1, 1, 21, 41, 211, 379,
    99, 887, 2035, 847, 4679, 9941, 49585, 1, 3, 1, 11, 17, 59, 29, 23, 355,
    393, 323, 1843, 1373, 1995, 28417, 12167, 1, 3, 7, 1, 31, 55, 105, 239, 509,
    709, 415, 4015, 4597, 13861, 11553, 87, 1, 3, 7, 15, 25, 55, 13, 19, 333,
    371, 1829, 3879, 7199, 2849, 16885, 52575, 1, 3, 5, 9, 27, 23, 55, 109, 465,
    923, 905, 197, 4017, 2079, 10775, 55543, 1, 1, 3, 7, 31, 49, 69, 181, 261,
    71, 1727, 2717, 317, 13397, 26641, 37783, 1, 3, 3, 15, 17, 55, 107, 201, 21,
    279, 437, 3267, 999, 14787, 23727, 2563, 1, 3, 1, 13, 27, 41, 19, 153, 435,
    577, 327, 965, 7899, 11799, 4683, 49651, 1, 3, 5, 15, 25, 47, 13, 243, 281,
    201, 1455, 2369, 7947, 10993, 14715, 30099, 1, 1, 3, 11, 17, 1, 49, 205, 303,
    85, 823, 3721, 3155, 5473, 6019, 24837, 1, 3, 1, 7, 5, 27, 65, 177, 405,
    841, 1523, 43, 2309, 14041, 6705, 18145, 1, 1, 7, 3, 25, 35, 53, 177, 233,
    287, 1265, 3305, 4961, 2751, 8715, 56605, 1, 3, 5, 3, 7, 9, 45, 179, 65,
    153, 1861, 111, 5501, 3671, 25663, 46493, 1, 3, 5, 11, 11, 37, 25, 199, 339,
    313, 1823, 2933, 6459, 3359, 8577, 64109, 1, 3, 1, 11, 5, 3, 127, 53, 77,
    431, 931, 3159, 2267, 8123, 7581, 52237, 1, 1, 5, 3, 1, 51, 41, 147, 481,
    243, 2045, 3239, 8191, 7533, 25021, 46359, 1, 1, 1, 7, 17, 1, 57, 141, 239,
    375, 23, 3695, 827, 10783, 18109, 54029, 1, 3, 1, 1, 13, 39, 35, 251, 271,
    461, 313, 2807, 2927, 4639, 17175, 65325, 1, 1, 7, 15, 1, 9, 123, 243, 451,
    433, 1339, 1223, 3399, 12669, 20663, 27505, 1, 1, 1, 5, 31, 25, 41, 225, 61,
    525, 527, 1559, 5469, 2299, 3169, 12435, 1, 1, 7, 1, 3, 45, 21, 99, 89,
    97, 379, 1815, 5883, 9437, 32597, 14795, 1, 3, 3, 3, 5, 17, 109, 185, 389,
    291, 1041, 847, 957, 13413, 29763, 39789, 1, 3, 5, 7, 31, 39, 63, 181, 297,
    71, 199, 1655, 1497, 8981, 23785, 40839, 1, 3, 5, 13, 23, 15, 25, 9, 361,
    151, 1191, 943, 17, 715, 28593, 22609, 1, 3, 7, 3, 27, 13, 99, 109, 97,
    415, 1515, 701, 7153, 14207, 24417, 52673, 1, 1, 1, 9, 15, 15, 15, 251, 23,
    717, 219, 1783, 3657, 10141, 6525, 37683, 1, 1, 1, 1, 5, 55, 19, 213, 99,
    73, 227, 2029, 1225, 14849, 17073, 30409, 1, 1, 3, 3, 15, 49, 49, 11, 289,
    287, 999, 743, 1081, 3185, 30613, 25163, 1, 1, 3, 11, 15, 21, 33, 53, 465,
    45, 113, 2865, 2641, 13797, 27785, 63159, 1, 1, 7, 13, 27, 5, 41, 21, 53,
    675, 1217, 239, 7925, 6659, 15025, 56589, 1, 1, 3, 15, 15, 1, 7, 129, 377,
    1017, 1015, 329, 3153, 5815, 7929, 62579, 1, 1, 7, 7, 19, 37, 23, 115, 29,
    813, 1761, 751, 3461, 13027, 30853, 51399, 1, 3, 1, 15, 1, 37, 125, 143, 117,
    33, 321, 1917, 741, 1281, 4811, 30907, 1, 1, 5, 9, 25, 55, 43, 69, 479,
    37, 1891, 325, 7165, 11707, 11663, 9, 1, 1, 1, 7, 13, 1, 37, 5, 195,
    959, 1707, 3099, 2295, 1363, 14463, 37013, 1, 1, 3, 1, 17, 45, 63, 189, 471,
    273, 633, 977, 3377, 15191, 25127, 38949, 1, 3, 7, 11, 11, 49, 107, 237, 365,
    813, 841, 215, 5087, 4661, 8045, 39713, 1, 1, 7, 7, 11, 39, 47, 23, 267,
    929, 709, 2593, 3773, 8435, 15947, 43873, 1, 3, 3, 1, 7, 45, 109, 121, 389,
    15, 599, 2887, 4009, 13557, 6845, 10149, 1, 1, 7, 11, 11, 45, 5, 39, 401,
    467, 291, 1807, 3711, 13831, 11777, 28543, 1, 3, 1, 5, 29, 29, 121, 33, 185,
    135, 479, 3681, 4763, 6915, 6689, 45981, 1, 1, 1, 13, 7, 57, 53, 39, 429,
    985, 523, 2245, 8003, 3385, 31869, 30589, 1, 1, 5, 3, 23, 21, 71, 229, 83,
    327, 399, 1413, 5321, 10593, 19219, 32837, 1, 3, 7, 7, 31, 37, 15, 119, 13,
    949, 1589, 3247, 5671, 2141, 21189, 6353, 1, 1, 1, 11, 13, 25, 77, 19, 261,
    237, 1651, 1165, 4317, 3265, 13471, 34163, 1, 3, 3, 3, 17, 53, 97, 245, 3,
    177, 873, 2273, 3577, 10233, 3615, 38189, 1, 1, 7, 9, 23, 63, 5, 115, 55,
    825, 877, 101, 1167, 10583, 14171, 42343, 1, 3, 7, 5, 3, 25, 119, 185, 295,
    349, 587, 2497, 6103, 5755, 25191, 50015, 1, 1, 7, 13, 11, 55, 55, 37, 229,
    803, 911, 3081, 1543, 297, 187, 51775, 1, 3, 1, 3, 31, 53, 105, 17, 219,
    145, 1129, 431, 5651, 1963, 693, 18177, 1, 1, 7, 3, 7, 29, 61, 199, 101,
    553, 1765, 1657, 1843, 12557, 27261, 4877, 1, 3, 1, 13, 19, 57, 33, 233, 179,
    437, 1835, 3081, 7241, 4227, 18707, 27027, 1, 1, 3, 15, 7, 61, 45, 55, 153,
    97, 1081, 2937, 2911, 3927, 17915, 275, 1, 3, 7, 15, 19, 25, 95, 85, 27,
    589, 121, 2003, 4891, 6737, 4835, 10443, 1, 1, 5, 7, 5, 61, 21, 7, 439,
    351, 1119, 937, 5517, 5001, 18859, 12427, 1, 1, 1, 1, 13, 21, 87, 73, 61,
    71, 885, 4029, 2893, 833, 18813, 18617, 1, 1, 5, 7, 23, 63, 111, 159, 39,
    937, 719, 1641, 7901, 7349, 31397, 38111, 1, 1, 5, 9, 9, 9, 105, 33, 205,
    829, 1929, 1925, 1735, 10217, 1747, 38351, 1, 3, 1, 13, 9, 13, 111, 39, 465,
    635, 989, 2079, 7781, 13229, 1039, 21061, 1, 3, 3, 1, 29, 15, 123, 137, 75,
    561, 1699, 57, 8179, 5693, 6333, 25581, 1, 1, 7, 9, 3, 17, 27, 117, 95,
    287, 1313, 1863, 7119, 16253, 27931, 42341, 1, 1, 1, 11, 21, 47, 83, 79, 451,
    535, 1249, 1125, 5387, 11309, 12115, 45877, 1, 1, 3, 7, 21, 17, 93, 125, 467,
    465, 619, 1899, 5501, 233, 28371, 7199, 1, 3, 7, 9, 3, 5, 5, 111, 107,
    95, 2023, 3529, 5135, 3377, 22025, 41931, 1, 1, 3, 13, 31, 19, 115, 155, 349,
    911, 1893, 3617, 689, 16323, 13523, 20373, 1, 1, 3, 5, 25, 7, 57, 117, 65,
    469, 1669, 407, 3693, 1743, 16697, 30749, 1, 1, 1, 5, 29, 11, 117, 187, 13,
    77, 45, 39, 6237, 9899, 28805, 9389, 1, 3, 1, 5, 5, 33, 43, 45, 331,
    615, 961, 2143, 4403, 543, 22783, 47063, 1, 3, 1, 11, 7, 1, 93, 153, 417,
    859, 451, 1211, 6439, 8043, 5759, 60265, 1, 3, 1, 9, 19, 53, 57, 93, 295,
    773, 533, 2685, 7429, 2855, 7665, 46257, 1, 3, 5, 15, 29, 5, 93, 159, 7,
    845, 337, 881, 2529, 15677, 9795, 31347, 1, 1, 3, 3, 11, 49, 97, 59, 157,
    695, 65, 1865, 4107, 15283, 2309, 13841, 1, 3, 3, 15, 21, 31, 61, 85, 361,
    893, 1223, 259, 2771, 4973, 18661, 16653, 1, 1, 1, 7, 19, 31, 3, 223, 151,
    785, 447, 2123, 3377, 14159, 933, 23357, 1, 3, 5, 11, 1, 55, 77, 107, 245,
    193, 583, 2729, 831, 11019, 25433, 6541, 1, 3, 3, 9, 3, 35, 19, 127, 419,
    203, 1869, 1477, 5239, 6113, 4835, 21131, 1, 3, 3, 7, 17, 49, 17, 23, 111,
    65, 1603, 157, 6433, 2965, 19845, 59041, 1, 3, 1, 3, 17, 1, 17, 207, 245,
    129, 1309, 413, 6933, 7575, 17179, 24075, 1, 1, 5, 5, 29, 23, 65, 43, 157,
    569, 645, 1821, 605, 3925, 2863, 55361, 1, 3, 3, 5, 15, 43, 1, 149, 253,
    529, 37, 2589, 2851, 2529, 32689, 49303, 1, 3, 1, 15, 3, 29, 19, 241, 153,
    189, 161, 797, 5419, 11269, 2159, 57893, 1, 1, 3, 13, 19, 23, 49, 179, 459,
    701, 1003, 2673, 1729, 1901, 26003, 51441, 1, 1, 3, 9, 23, 19, 47, 85, 281,
    371, 773, 2263, 3235, 647, 23085, 10053, 1, 3, 3, 13, 13, 23, 13, 95, 41,
    963, 213, 2317, 3889, 3981, 4749, 55409, 1, 1, 7, 13, 9, 39, 33, 21, 17,
    201, 1789, 2593, 1373, 14601, 17025, 31861, 1, 1, 5, 9, 5, 43, 107, 169, 247,
    361, 1245, 2371, 119, 4987, 32661, 19363, 1, 3, 7, 5, 29, 35, 81, 13, 419,
    1003, 701, 759, 4415, 11441, 28985, 46869, 1, 3, 7, 7, 9, 57, 3, 39, 457,
    455, 29, 2983, 4879, 14359, 12913, 64711, 1, 1, 7, 3, 9, 31, 57, 47, 55,
    525, 2015, 2053, 7101, 8487, 26865, 29149, 1, 1, 7, 11, 11, 37, 67, 241, 509,
    711, 263, 1565, 6803, 2095, 3055, 28847, 1, 3, 1, 9, 25, 23, 53, 135, 391,
    625, 673, 2807, 6511, 7465, 21959, 17561, 1, 1, 7, 3, 23, 23, 47, 247, 297,
    191, 1137, 3921, 3669, 4439, 707, 33529, 1, 1, 7, 15, 19, 35, 91, 75, 237,
    585, 1047, 1389, 7147, 9043, 22363, 14287, 1, 3, 1, 15, 17, 35, 45, 181, 439,
    307, 709, 2925, 3397, 4577, 30645, 25167, 1, 1, 5, 9, 25, 1, 127, 173, 397,
    477, 821, 2017, 1363, 8615, 8833, 12771, 1, 1, 5, 9, 9, 1, 33, 137, 383,
    465, 1211, 3563, 5035, 6609, 31667, 10853, 1, 3, 7, 9, 11, 49, 61, 51, 31,
    811, 623, 2213, 7131, 15679, 5335, 53001, 1, 1, 5, 7, 27, 55, 11, 229, 331,
    109, 109, 877, 6087, 10023, 22627, 64253, 1, 1, 5, 3, 11, 13, 105, 31, 357,
    589, 869, 1583, 3441, 15783, 25579, 25335, 1, 3, 7, 7, 7, 9, 35, 29, 153,
    425, 1145, 2021, 115, 15865, 4305, 62417, 1, 3, 5, 3, 27, 17, 3, 57, 111,
    393, 711, 2519, 7223, 10117, 5509, 63361, 1, 1, 5, 7, 9, 55, 101, 199, 441,
    141, 1349, 3017, 7625, 1457, 27947, 13269, 1, 1, 5, 15, 5, 23, 3, 87, 61,
    19, 1449, 2317, 4049, 3397, 6271, 53317, 1, 3, 5, 3, 11, 35, 95, 141, 355,
    749, 1247, 3495, 5719, 16201, 9649, 12395, 1, 3, 7, 11, 23, 29, 79, 171, 259,
    923, 2035, 783, 3571, 14987, 30025, 19185, 1, 1, 7, 13, 17, 31, 75, 141, 131,
    391, 303, 2641, 5527, 12629, 1097, 47589, 1, 3, 3, 15, 9, 55, 23, 207, 211,
    633, 805, 3079, 5495, 4651, 26483, 59323, 1, 1, 1, 9, 9, 17, 97, 173, 123,
    139, 595, 3859, 4615, 15565, 9243, 19933, 1, 3, 5, 9, 31, 51, 1, 133, 213,
    877, 23, 3661, 3451, 11705, 27943, 10995, 1, 3, 3, 11, 5, 1, 91, 113, 147,
    825, 795, 2871, 5175, 6843, 17829, 25375, 1, 3, 3, 3, 7, 15, 105, 227, 97,
    985, 347, 2833, 1237, 9419, 17853, 43467, 1, 3, 7, 7, 17, 47, 3, 237, 97,
    915, 1463, 477, 2237, 7755, 11779, 35897, 1, 3, 1, 9, 17, 17, 97, 163, 181,
    411, 1145, 623, 3017, 1335, 6999, 57149, 1, 1, 1, 7, 27, 49, 57, 49, 217,
    635, 973, 1153, 8097, 4669, 30691, 1949, 1, 1, 1, 7, 13, 47, 107, 247, 269,
    803, 1919, 3047, 2967, 63, 12287, 39925, 1, 1, 5, 3, 27, 15, 27, 255, 27,
    463, 621, 2443, 5615, 14589, 10869, 5013, 1, 3, 5, 15, 25, 15, 75, 223, 17,
    227, 911, 3069, 2583, 8811, 14191, 2819, 1, 3, 5, 15, 25, 13, 19, 157, 495,
    997, 1997, 3175, 1515, 15693, 15585, 2753, 1, 1, 7, 7, 7, 5, 67, 95, 337,
    539, 2019, 2009, 7171, 1089, 7955, 17557, 1, 3, 3, 3, 7, 63, 61, 31, 61,
    483, 365, 1153, 495, 7357, 2831, 23191, 1, 1, 7, 1, 17, 35, 121, 143, 411,
    895, 1859, 2205, 6565, 11611, 20941, 47151, 1, 3, 7, 9, 27, 21, 53, 51, 77,
    251, 1355, 175, 3949, 2903, 26991, 41571, 1, 1, 1, 15, 17, 1, 15, 253, 99,
    611, 1949, 1917, 4363, 2887, 30421, 42197, 1, 3, 3, 11, 29, 45, 111, 49, 389,
    171, 1069, 3061, 6657, 12097, 533, 9459, 1, 1, 3, 1, 5, 27, 39, 15, 381,
    119, 137, 3641, 8047, 1391, 13093, 50659, 1, 1, 7, 9, 27, 59, 123, 235, 301,
    933, 335, 3927, 2811, 16133, 5999, 19933, 1, 3, 3, 13, 15, 55, 69, 199, 353,
    131, 753, 2765, 4005, 13575, 16607, 51253, 1, 1, 7, 1, 19, 53, 31, 233, 289,
    939, 31, 1741, 5467, 1987, 13923, 49857, 1, 1, 7, 7, 31, 45, 45, 237, 427,
    305, 1753, 1237, 3573, 10813, 10609, 24187, 1, 1, 1, 13, 21, 41, 81, 219, 185,
    107, 71, 2017, 6587, 3351, 10207, 10545, 1, 1, 1, 5, 5, 21, 127, 129, 209,
    313, 1273, 3229, 6733, 4431, 7297, 41569, 1, 1, 3, 15, 17, 61, 55, 127, 85,
    913, 1173, 3837, 5579, 10309, 24659, 22697, 1, 1, 3, 3, 11, 11, 91, 165, 367,
    79, 43, 679, 3285, 15469, 21511, 57755, 1, 1, 1, 13, 15, 1, 125, 47, 101,
    999, 521, 543, 5535, 10191, 7497, 15677, 1, 3, 3, 9, 9, 15, 63, 239, 471,
    903, 1473, 717, 6547, 8445, 20737, 41457, 1, 1, 5, 15, 13, 31, 43, 93, 325,
    393, 373, 971, 6045, 14981, 28011, 35997, 1, 3, 1, 15, 11, 45, 41, 35, 381,
    779, 443, 3395, 2495, 14795, 4695, 22745, 1, 3, 3, 7, 21, 9, 89, 173, 233,
    935, 683, 1533, 953, 2627, 30975, 43449, 1, 1, 5, 3, 25, 55, 107, 105, 99,
    959, 1935, 3489, 3671, 14999, 11707, 10285, 1, 3, 5, 3, 31, 17, 123, 119, 63,
    169, 1283, 3691, 1411, 3437, 27941, 57089, 1, 3, 3, 1, 17, 9, 115, 69, 481,
    689, 2007, 3815, 4419, 11249, 31469, 55783, 1, 3, 7, 15, 9, 39, 65, 125, 253,
    413, 1283, 2073, 6563, 2111, 22865, 59393, 1, 3, 3, 15, 19, 1, 67, 253, 489,
    185, 297, 261, 5203, 8685, 10515, 58595, 1, 1, 1, 13, 23, 39, 95, 233, 171,
    653, 2025, 2285, 4477, 9275, 9717, 43321, 1, 1, 7, 3, 23, 35, 77, 119, 193,
    41, 1057, 4017, 235, 13819, 7911, 3981, 1, 3, 5, 9, 15, 33, 41, 221, 1,
    307, 1325, 2899, 399, 801, 24611, 31941, 1, 1, 1, 15, 1, 7, 91, 27, 247,
    667, 483, 573, 481, 11771, 31139, 31979, 1, 3, 5, 1, 3, 23, 39, 73, 101,
    367, 1259, 4053, 3055, 1231, 27981, 54287, 1, 3, 3, 7, 3, 31, 9, 71, 339,
    33, 1255, 1353, 5575, 12481, 27881, 17293, 1, 3, 5, 13, 5, 57, 123, 193, 443,
    185, 851, 539, 4217, 915, 1247, 20163, 1, 3, 7, 5, 11, 13, 99, 141, 439,
    259, 1177, 453, 6037, 5813, 25147, 20381, 1, 1, 1, 5, 25, 17, 105, 91, 33,
    15, 2035, 3693, 2249, 5825, 29037, 12529, 1, 3, 1, 13, 1, 33, 113, 237, 13,
    845, 1127, 4067, 825, 8391, 1269, 51473, 1, 3, 5, 3, 27, 5, 77, 97, 33,
    569, 1327, 751, 2817, 775, 32275, 55757, 1, 1, 1, 7, 25, 1, 73, 105, 19,
    1007, 371, 269, 4833, 13881, 21503, 35303, 1, 3, 1, 3, 23, 39, 27, 203, 351,
    433, 399, 405, 39, 7773, 27345, 57109, 1, 1, 5, 13, 7, 7, 21, 33, 481,
    201, 7, 2377, 1009, 7593, 19381, 10325, 1, 1, 1, 13, 15, 61, 29, 59, 255,
    213, 1207, 3783, 4375, 8137, 6733, 10809, 1, 1, 1, 9, 25, 37, 83, 169, 267,
    21, 1211, 3099, 239, 2489, 12843, 4395, 1, 1, 1, 13, 17, 47, 77, 63, 361,
    567, 245, 3569, 7707, 15463, 29579, 55017, 1, 1, 7, 13, 23, 3, 111, 21, 417,
    609, 547, 3297, 7487, 3285, 16913, 34005, 1, 3, 7, 5, 9, 37, 39, 173, 129,
    215, 1939, 2745, 319, 12707, 4665, 32065, 1, 1, 3, 3, 21, 39, 67, 85, 223,
    591, 681, 1655, 6651, 3547, 22459, 291, 1, 1, 7, 11, 17, 9, 61, 121, 489,
    129, 489, 1261, 2377, 9243, 15123, 59249, 1, 1, 5, 9, 1, 31, 1, 171, 331,
    233, 1033, 1975, 1515, 13295, 9383, 52107, 1, 1, 1, 13, 17, 45, 75, 209, 187,
    441, 1227, 4063, 5699, 3397, 25793, 58187, 1, 3, 1, 3, 17, 13, 67, 73, 141,
    451, 1307, 3115, 1273, 5275, 32383, 4663, 1, 1, 5, 15, 5, 37, 77, 159, 339,
    443, 1663, 345, 1513, 3195, 15131, 32473, 1, 1, 3, 11, 29, 19, 13, 47, 409,
    141, 1907, 3473, 4799, 213, 341, 45091, 1, 3, 1, 1, 15, 29, 27, 179, 367,
    439, 1073, 1783, 735, 11731, 20101, 7889, 1, 1, 3, 15, 23, 35, 107, 53, 325,
    51, 831, 1693, 5161, 13655, 31957, 60089, 1, 1, 5, 11, 31, 13, 103, 109, 71,
    237, 1271, 629, 6813, 10253, 17161, 58597, 1, 3, 3, 1, 29, 37, 47, 173, 131,
    787, 39, 879, 215, 13625, 4031, 56677, 1, 1, 7, 5, 29, 3, 61, 227, 23,
    699, 1291, 3909, 6995, 4085, 8961, 40275, 1, 1, 5, 7, 27, 21, 25, 213, 359,
    701, 1453, 3753, 5493, 5971, 30375, 54707, 1, 3, 7, 7, 7, 63, 67, 47, 341,
    451, 1205, 3125, 1575, 6229, 13951, 4539, 1, 1, 3, 13, 25, 3, 93, 91, 507,
    843, 623, 865, 5873, 10397, 4135, 11313, 1, 3, 7, 15, 11, 39, 111, 149, 439,
    519, 1015, 2777, 1643, 9703, 13767, 7351, 1, 1, 5, 5, 27, 55, 79, 39, 23,
    451, 1507, 2117, 6881, 4623, 26289, 23435, 1, 3, 3, 11, 27, 29, 21, 63, 229,
    173, 1777, 2163, 5185, 15487, 19661, 49185, 1, 3, 1, 9, 3, 29, 59, 63, 477,
    51, 1257, 2301, 3495, 9475, 32201, 47511, 1, 1, 1, 7, 29, 45, 115, 235, 201,
    847, 57, 1783, 2203, 13077, 4917, 6773, 1, 1, 5, 9, 13, 49, 77, 1, 105,
    747, 1389, 2461, 3823, 3315, 25295, 24761, 1, 3, 7, 7, 19, 5, 83, 157, 37,
    499, 1893, 2787, 6427, 8575, 26547, 28871, 1, 1, 3, 9, 29, 47, 109, 151, 125,
    1005, 751, 2059, 7045, 15483, 5227, 58193, 1, 1, 3, 1, 11, 41, 63, 155, 175,
    943, 161, 889, 6001, 3537, 23609, 23595, 1, 3, 1, 11, 5, 51, 121, 11, 81,
    175, 1953, 451, 4723, 11083, 26527, 41887, 1, 1, 3, 7, 13, 59, 47, 205, 503,
    249, 1263, 1767, 2553, 9755, 909, 27129, 1, 1, 5, 13, 11, 19, 123, 1, 429,
    455, 85, 1021, 7119, 8563, 11115, 24741, 1, 1, 1, 1, 5, 55, 1, 1, 17,
    221, 1633, 4065, 9, 4091, 29557, 33855, 1, 3, 3, 11, 9, 3, 15, 159, 243,
    245, 1845, 3841, 3321, 8631, 1131, 7327, 1, 1, 5, 5, 3, 9, 119, 99, 337,
    969, 1313, 4083, 2053, 10277, 15941, 16969, 1, 1, 7, 13, 15, 35, 25, 239, 345,
    785, 747, 233, 7175, 10319, 23783, 55803, 1, 1, 7, 1, 7, 5, 91, 119, 317,
    831, 351, 2149, 7531, 16373, 23461, 19863, 1, 1, 7, 1, 29, 7, 5, 43, 7,
    717, 1459, 713, 5453, 7471, 12909, 36941, 1, 3, 5, 15, 9, 53, 59, 201, 333,
    603, 629, 1819, 3397, 2823, 6459, 16213, 1, 3, 1, 13, 27, 47, 67, 119, 145,
    81, 507, 53, 7407, 6327, 11387, 45391, 1, 1, 7, 13, 7, 63, 53, 171, 381,
    523, 825, 2785, 7077, 13601, 329, 26677, 1, 1, 5, 13, 7, 25, 91, 67, 267,
    463, 1869, 2041, 5949, 1635, 21551, 37331, 1, 1, 1, 5, 25, 1, 17, 113, 445,
    685, 1201, 3299, 8139, 1463, 26067, 14613, 1, 3, 1, 13, 3, 19, 103, 159, 337,
    999, 755, 3935, 5161, 8681, 17375, 20163, 1, 3, 5, 9, 1, 13, 117, 209, 93,
    613, 271, 1321, 2265, 2739, 5055, 27581, 1, 1, 1, 1, 7, 21, 111, 45, 361,
    665, 1243, 1485, 7833, 15515, 26437, 55983, 1, 1, 5, 7, 1, 31, 123, 199, 347,
    235, 1367, 2451, 7211, 6095, 19245, 55993, 1, 3, 7, 3, 25, 9, 25, 117, 315,
    497, 1235, 1969, 7981, 9743, 20951, 30635,
];