libitofin 0.7.0

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

#[rustfmt::skip]
pub(super) static DATA: &[u32] = &[
    1, 1, 1, 1, 1, 1, 1, 3, 1, 1, 1, 7, 13, 1, 1, 3,
    7, 1, 3, 1, 7, 21, 1, 3, 1, 3, 9, 1, 1, 5, 9, 13,
    1, 1, 3, 9, 13, 1, 1, 5, 3, 7, 1, 1, 5, 7, 11, 1,
    3, 3, 13, 15, 43, 1, 3, 5, 11, 25, 45, 1, 1, 3, 11, 3,
    45, 1, 3, 5, 1, 9, 21, 1, 1, 3, 13, 9, 9, 1, 3, 5,
    7, 17, 53, 1, 3, 1, 7, 11, 51, 115, 1, 1, 7, 9, 25, 35,
    11, 1, 3, 1, 1, 31, 5, 1, 1, 1, 5, 9, 11, 1, 121, 1,
    1, 1, 15, 11, 59, 21, 1, 3, 1, 3, 17, 49, 51, 1, 1, 5,
    7, 15, 25, 13, 1, 3, 7, 7, 1, 45, 7, 1, 1, 5, 7, 21,
    21, 37, 1, 3, 1, 13, 9, 49, 23, 1, 1, 1, 3, 3, 35, 123,
    1, 1, 7, 5, 15, 47, 117, 1, 1, 3, 13, 9, 23, 33, 1, 1,
    1, 13, 25, 23, 63, 1, 1, 5, 3, 5, 13, 91, 1, 1, 5, 5,
    23, 7, 101, 1, 3, 1, 11, 9, 61, 127, 1, 3, 1, 9, 1, 57,
    93, 1, 1, 1, 1, 31, 31, 25, 231, 1, 3, 7, 7, 29, 17, 59,
    215, 1, 1, 3, 15, 5, 63, 117, 217, 1, 3, 1, 1, 29, 5, 111,
    51, 1, 1, 7, 1, 17, 37, 11, 53, 1, 3, 7, 15, 29, 5, 3,
    67, 1, 3, 7, 11, 23, 27, 35, 143, 1, 1, 5, 11, 11, 33, 103,
    179, 1, 3, 5, 7, 13, 45, 87, 143, 1, 3, 1, 13, 17, 17, 49,
    249, 1, 1, 1, 3, 17, 29, 75, 143, 1, 1, 1, 3, 19, 55, 65,
    109, 1, 1, 7, 3, 21, 29, 13, 191, 1, 1, 3, 7, 7, 5, 97,
    179, 1, 3, 5, 13, 1, 17, 113, 149, 1, 3, 3, 11, 25, 13, 105,
    75, 1, 3, 1, 13, 29, 33, 71, 117, 77, 1, 1, 1, 1, 31, 41,
    9, 245, 205, 1, 1, 1, 15, 25, 23, 111, 105, 95, 1, 1, 3, 5,
    3, 5, 81, 251, 221, 1, 3, 5, 5, 9, 53, 37, 41, 509, 1, 1,
    5, 15, 21, 25, 77, 225, 333, 1, 3, 5, 13, 3, 17, 1, 101, 397,
    1, 3, 5, 11, 27, 53, 115, 87, 47, 1, 1, 3, 11, 31, 39, 21,
    233, 9, 1, 1, 3, 15, 17, 19, 73, 147, 351, 1, 1, 3, 3, 29,
    17, 1, 105, 293, 1, 1, 3, 15, 9, 21, 103, 239, 433, 1, 1, 1,
    15, 17, 35, 49, 7, 435, 1, 3, 7, 3, 9, 51, 91, 177, 255, 1,
    1, 5, 5, 31, 9, 39, 209, 511, 1, 1, 7, 3, 11, 11, 19, 227,
    343, 1, 3, 7, 3, 17, 13, 105, 151, 225, 1, 1, 7, 11, 29, 35,
    105, 11, 497, 1, 3, 7, 15, 5, 13, 31, 201, 63, 1, 1, 5, 7,
    17, 31, 9, 63, 167, 1, 1, 1, 13, 1, 51, 9, 115, 217, 1, 1,
    7, 15, 23, 49, 125, 163, 39, 1, 1, 3, 13, 11, 45, 77, 149, 173,
    1, 3, 3, 3, 7, 27, 43, 27, 361, 1, 3, 3, 5, 5, 37, 9,
    51, 149, 1, 1, 1, 15, 13, 13, 49, 251, 385, 1, 1, 3, 7, 1,
    57, 27, 25, 335, 1, 3, 3, 9, 31, 55, 41, 143, 97, 1, 3, 3,
    11, 31, 33, 65, 57, 113, 1, 1, 5, 13, 19, 63, 5, 71, 317, 1,
    1, 1, 5, 29, 45, 35, 107, 113, 1, 1, 3, 7, 3, 31, 81, 57,
    439, 1, 3, 5, 5, 1, 7, 3, 21, 319, 1, 3, 1, 15, 27, 49,
    25, 247, 455, 1, 1, 3, 5, 5, 43, 105, 207, 271, 1, 3, 3, 7,
    29, 63, 25, 239, 165, 1, 3, 7, 1, 19, 23, 87, 23, 161, 1, 3,
    7, 5, 27, 1, 15, 113, 85, 1, 1, 1, 13, 23, 39, 103, 59, 105,
    1, 3, 1, 15, 9, 35, 65, 225, 385, 1, 1, 5, 9, 5, 63, 109,
    153, 25, 1, 3, 7, 11, 5, 41, 103, 103, 245, 1, 1, 1, 3, 25,
    5, 71, 203, 351, 1, 1, 5, 5, 27, 49, 111, 253, 265, 1, 1, 1,
    11, 31, 63, 91, 179, 359, 1, 3, 7, 1, 9, 41, 117, 69, 141, 1,
    3, 1, 5, 11, 25, 7, 73, 477, 1, 1, 3, 1, 31, 7, 51, 67,
    97, 1, 3, 3, 15, 31, 61, 27, 137, 319, 605, 1, 3, 5, 7, 29,
    45, 31, 211, 287, 13, 1, 3, 1, 7, 25, 61, 121, 91, 215, 439, 1,
    1, 3, 11, 31, 51, 31, 151, 421, 195, 1, 1, 5, 13, 17, 23, 47,
    9, 33, 1003, 1, 1, 1, 3, 23, 5, 109, 23, 125, 773, 1, 3, 5,
    9, 7, 41, 33, 81, 277, 623, 1, 1, 1, 11, 9, 33, 51, 31, 181,
    985, 1, 1, 7, 11, 3, 37, 3, 107, 405, 639, 1, 1, 5, 15, 17,
    7, 35, 221, 255, 753, 1, 1, 7, 3, 31, 11, 113, 105, 275, 683, 1,
    1, 3, 11, 3, 39, 57, 237, 189, 561, 1, 3, 3, 7, 17, 37, 55,
    97, 499, 511, 1, 1, 7, 11, 31, 27, 21, 241, 127, 279, 1, 3, 1,
    7, 1, 19, 95, 3, 511, 143, 1, 3, 5, 3, 21, 39, 115, 155, 67,
    607, 1, 1, 7, 7, 25, 37, 33, 149, 89, 997, 1, 3, 1, 7, 3,
    7, 113, 165, 235, 943, 1, 3, 7, 9, 29, 5, 93, 255, 323, 555, 1,
    1, 1, 3, 13, 45, 89, 87, 29, 23, 1, 3, 3, 11, 11, 29, 75,
    91, 211, 459, 1, 3, 5, 15, 11, 43, 105, 1, 227, 711, 1, 1, 5,
    5, 13, 33, 29, 217, 511, 241, 1, 3, 7, 9, 1, 47, 125, 151, 375,
    815, 1, 1, 1, 3, 25, 29, 5, 39, 133, 585, 1, 1, 5, 9, 9,
    31, 79, 227, 395, 517, 1, 3, 3, 3, 15, 3, 47, 159, 233, 339, 1,
    3, 5, 3, 15, 13, 79, 109, 187, 249, 1, 3, 1, 15, 23, 39, 85,
    157, 323, 535, 1, 1, 1, 5, 11, 25, 5, 153, 19, 779, 1, 3, 5,
    1, 9, 43, 27, 179, 407, 167, 1, 3, 5, 5, 25, 47, 21, 23, 57,
    415, 1, 1, 1, 7, 3, 29, 45, 195, 349, 267, 1, 3, 5, 3, 19,
    13, 61, 243, 125, 961, 1, 3, 7, 3, 29, 49, 7, 197, 387, 747, 1,
    3, 7, 11, 31, 31, 109, 87, 345, 807, 1, 3, 1, 3, 21, 57, 43,
    207, 221, 85, 1, 1, 3, 13, 19, 19, 41, 19, 509, 419, 1, 1, 3,
    3, 23, 17, 85, 99, 421, 875, 1, 3, 1, 15, 27, 43, 89, 151, 39,
    643, 1, 1, 1, 5, 3, 59, 25, 79, 319, 959, 1, 3, 5, 9, 3,
    27, 71, 209, 195, 569, 1, 3, 3, 3, 11, 47, 67, 1, 221, 119, 1,
    1, 5, 11, 11, 39, 95, 29, 7, 957, 1, 1, 7, 13, 13, 57, 47,
    71, 165, 393, 1, 3, 5, 3, 5, 47, 127, 209, 377, 53, 1, 3, 1,
    5, 13, 51, 69, 165, 477, 961, 1, 3, 5, 9, 25, 37, 5, 133, 117,
    29, 1, 1, 1, 9, 7, 21, 95, 53, 205, 805, 1, 1, 5, 11, 25,
    39, 25, 15, 497, 525, 1, 3, 5, 5, 15, 37, 33, 255, 97, 341, 1,
    3, 1, 13, 31, 63, 35, 203, 415, 903, 1, 1, 5, 7, 13, 59, 55,
    17, 103, 221, 1, 1, 5, 3, 7, 37, 113, 139, 269, 987, 1, 3, 3,
    7, 21, 3, 47, 175, 327, 633, 1, 1, 1, 3, 13, 61, 19, 209, 39,
    695, 1, 1, 1, 9, 31, 61, 21, 75, 445, 647, 1, 1, 5, 3, 21,
    1, 65, 211, 405, 629, 1, 3, 7, 15, 9, 25, 119, 13, 465, 865, 1,
    3, 1, 15, 29, 19, 103, 39, 37, 289, 1, 1, 1, 5, 25, 23, 21,
    111, 455, 665, 1609, 1, 3, 3, 13, 27, 29, 45, 191, 385, 413, 1875, 1,
    3, 7, 7, 19, 17, 47, 231, 337, 781, 1235, 1, 1, 5, 7, 7, 25,
    99, 239, 501, 29, 159, 1, 1, 1, 3, 5, 19, 101, 147, 225, 353, 1117,
    1, 3, 7, 11, 17, 57, 45, 73, 219, 853, 1379, 1, 3, 3, 7, 11,
    47, 23, 67, 157, 283, 867, 1, 1, 7, 7, 23, 55, 71, 155, 237, 927,
    929, 1, 3, 3, 15, 11, 19, 59, 147, 373, 619, 53, 1, 1, 3, 15,
    13, 23, 11, 33, 45, 121, 241, 1, 1, 1, 9, 13, 29, 3, 131, 373,
    91, 1207, 1, 1, 1, 15, 21, 29, 59, 197, 375, 637, 1275, 1, 1, 3,
    11, 27, 31, 87, 95, 119, 249, 1913, 1, 3, 1, 5, 25, 51, 1, 241,
    53, 883, 61, 1, 3, 1, 5, 23, 37, 83, 45, 287, 911, 717, 1, 3,
    1, 3, 9, 39, 105, 129, 475, 399, 1783, 1, 3, 5, 5, 23, 11, 119,
    205, 317, 797, 605, 1, 1, 7, 5, 13, 57, 19, 225, 53, 987, 1463, 1,
    3, 5, 11, 3, 59, 1, 201, 97, 1011, 1059, 1, 3, 3, 9, 29, 51,
    39, 199, 243, 877, 883, 1, 1, 3, 5, 29, 13, 97, 15, 387, 435, 701,
    1, 3, 3, 11, 21, 41, 3, 119, 385, 503, 2015, 1, 3, 3, 1, 17,
    9, 49, 13, 309, 29, 1501, 1, 3, 1, 3, 13, 29, 91, 51, 225, 989,
    1701, 1, 1, 7, 13, 1, 55, 59, 243, 399, 65, 1725, 1, 3, 7, 7,
    19, 29, 97, 161, 195, 257, 1595, 1, 3, 7, 15, 29, 49, 49, 23, 157,
    363, 1355, 1, 3, 1, 13, 23, 39, 45, 73, 147, 323, 1965, 1, 3, 1,
    15, 17, 27, 17, 19, 371, 387, 395, 1, 1, 1, 9, 19, 39, 31, 3,
    291, 379, 605, 1, 1, 7, 1, 15, 17, 47, 133, 485, 145, 629, 1, 1,
    1, 13, 11, 11, 117, 233, 85, 1, 1357, 1, 1, 7, 15, 19, 51, 115,
    19, 333, 683, 917, 1, 3, 7, 9, 27, 47, 17, 209, 461, 261, 761, 1,
    1, 3, 1, 27, 15, 43, 141, 291, 363, 605, 1, 3, 7, 5, 1, 3,
    43, 75, 115, 653, 847, 1, 1, 3, 1, 11, 51, 69, 119, 195, 979, 1543,
    1, 1, 7, 3, 11, 29, 29, 59, 339, 273, 855, 1, 1, 1, 1, 11,
    15, 59, 97, 267, 647, 2037, 1, 1, 5, 3, 25, 43, 41, 195, 457, 155,
    1707, 1, 3, 3, 15, 11, 47, 43, 15, 505, 761, 1259, 1, 3, 5, 15,
    27, 29, 55, 109, 187, 545, 1177, 1, 3, 1, 5, 29, 25, 89, 11, 75,
    771, 1437, 1, 3, 5, 11, 19, 17, 27, 59, 231, 35, 391, 1, 1, 7,
    9, 3, 17, 31, 81, 317, 973, 1913, 1, 1, 1, 7, 3, 21, 113, 41,
    335, 789, 1195, 1, 1, 7, 1, 13, 61, 41, 117, 301, 707, 693, 1, 1,
    1, 7, 3, 1, 79, 145, 137, 307, 205, 1, 3, 7, 1, 27, 49, 83,
    127, 265, 669, 87, 1, 1, 3, 15, 21, 31, 115, 115, 343, 55, 1049, 1,
    1, 5, 9, 7, 25, 43, 255, 363, 123, 299, 1, 3, 5, 13, 1, 9,
    79, 245, 91, 233, 1703, 1, 3, 5, 1, 17, 39, 81, 147, 147, 335, 819,
    1, 3, 7, 3, 31, 63, 55, 53, 389, 307, 451, 1, 1, 7, 7, 23,
    41, 125, 147, 323, 7, 1211, 1, 1, 1, 13, 23, 9, 35, 177, 165, 315,
    1885, 1, 3, 3, 7, 11, 39, 99, 197, 405, 377, 555, 1, 3, 3, 11,
    15, 39, 125, 59, 323, 377, 325, 1, 3, 5, 9, 7, 45, 75, 143, 265,
    161, 1701, 1, 1, 7, 5, 31, 21, 35, 1, 511, 585, 923, 1, 3, 1,
    5, 3, 31, 65, 33, 199, 205, 1673, 1, 3, 7, 9, 17, 61, 123, 33,
    405, 235, 645, 1, 3, 3, 15, 27, 1, 35, 165, 509, 681, 621, 1, 3,
    5, 15, 19, 13, 49, 85, 5, 661, 805, 1, 3, 7, 3, 3, 51, 77,
    167, 461, 731, 1681, 1, 1, 3, 5, 21, 51, 125, 65, 41, 613, 1009, 1,
    3, 7, 11, 17, 39, 127, 31, 423, 87, 1413, 1, 3, 1, 5, 11, 41,
    25, 49, 169, 637, 1599, 1, 3, 5, 13, 31, 27, 75, 65, 391, 857, 1491,
    1, 1, 1, 13, 5, 61, 65, 183, 373, 161, 235, 1, 3, 1, 1, 27,
    49, 47, 55, 503, 683, 301, 1, 1, 7, 11, 17, 31, 113, 255, 281, 341,
    2033, 1, 3, 3, 13, 27, 27, 27, 225, 161, 187, 485, 1, 1, 1, 3,
    21, 27, 105, 215, 241, 211, 899, 1, 3, 5, 5, 11, 37, 1, 7, 335,
    221, 757, 1, 1, 5, 7, 21, 55, 61, 99, 23, 957, 35, 1, 3, 5,
    5, 13, 53, 31, 121, 111, 47, 1491, 1, 1, 5, 13, 17, 5, 11, 179,
    357, 1003, 1179, 1, 1, 5, 13, 29, 9, 3, 91, 471, 369, 323, 1, 3,
    7, 5, 7, 25, 109, 43, 133, 261, 1623, 1, 3, 7, 15, 13, 33, 125,
    81, 491, 331, 1243, 1, 3, 3, 11, 15, 21, 57, 63, 55, 341, 1717, 1,
    3, 1, 1, 31, 13, 67, 89, 459, 879, 863, 1, 3, 7, 15, 7, 21,
    117, 229, 467, 227, 1463, 1, 1, 1, 7, 23, 43, 53, 79, 3, 905, 1049,
    1, 3, 7, 1, 19, 1, 61, 15, 377, 579, 145, 1, 3, 1, 15, 27,
    25, 61, 171, 425, 631, 1343, 1, 3, 7, 5, 15, 31, 69, 5, 217, 809,
    647, 1, 1, 5, 3, 5, 35, 101, 21, 33, 757, 559, 1, 3, 5, 13,
    3, 7, 101, 93, 31, 315, 1897, 1, 1, 3, 1, 21, 31, 37, 127, 211,
    429, 1019, 1, 1, 3, 9, 11, 27, 113, 203, 115, 765, 759, 1, 1, 3,
    13, 7, 21, 89, 99, 469, 729, 683, 1, 1, 1, 5, 27, 17, 43, 177,
    225, 405, 1929, 1, 3, 1, 7, 21, 55, 69, 41, 309, 487, 681, 1, 3,
    5, 11, 19, 21, 61, 163, 337, 61, 301, 1, 3, 1, 7, 21, 61, 67,
    219, 281, 21, 1271, 1, 1, 5, 11, 5, 25, 51, 207, 235, 289, 395, 1,
    1, 3, 3, 17, 61, 5, 179, 457, 941, 1577, 1, 1, 7, 7, 17, 23,
    127, 35, 407, 545, 169, 1, 3, 7, 15, 21, 19, 123, 145, 97, 263, 1881,
    1, 3, 7, 11, 25, 49, 117, 165, 79, 137, 1311, 1, 3, 1, 11, 3,
    17, 9, 177, 367, 863, 1255, 1, 1, 5, 13, 9, 1, 31, 3, 69, 1009,
    1091, 1, 3, 7, 15, 25, 41, 13, 3, 319, 131, 493, 1, 1, 1, 15,
    9, 45, 25, 21, 405, 61, 1167, 1, 1, 1, 1, 31, 3, 95, 113, 475,
    209, 1473, 1, 1, 5, 5, 27, 9, 95, 121, 193, 481, 1785, 1, 1, 3,
    13, 1, 13, 57, 167, 273, 491, 867, 1, 1, 7, 1, 9, 27, 123, 65,
    407, 609, 1979, 1, 3, 1, 15, 5, 5, 89, 17, 207, 249, 1725, 1, 3,
    5, 11, 11, 15, 91, 33, 113, 531, 831, 1, 1, 5, 9, 27, 51, 17,
    141, 215, 171, 455, 1, 1, 5, 9, 11, 25, 115, 5, 173, 209, 1455, 1,
    1, 7, 7, 13, 51, 21, 79, 357, 423, 1855, 1, 1, 7, 1, 13, 37,
    123, 27, 477, 1023, 1235, 1, 1, 7, 13, 25, 43, 123, 41, 199, 779, 1691,
    1, 3, 3, 9, 7, 27, 81, 147, 465, 135, 829, 1, 1, 7, 11, 17,
    5, 25, 177, 377, 629, 915, 1, 1, 3, 15, 11, 19, 45, 229, 409, 187,
    507, 1, 1, 7, 5, 7, 49, 21, 49, 395, 185, 391, 1, 3, 1, 1,
    1, 37, 123, 255, 223, 473, 1011, 1, 3, 3, 13, 3, 7, 113, 183, 457,
    561, 1427, 1, 1, 1, 11, 27, 39, 125, 241, 279, 905, 1907, 1, 3, 1,
    15, 19, 19, 9, 233, 39, 701, 939, 1, 3, 5, 11, 15, 51, 1, 25,
    461, 671, 611, 1, 3, 1, 3, 23, 39, 23, 191, 219, 911, 1247, 1, 3,
    1, 3, 1, 27, 91, 97, 55, 863, 805, 1, 3, 7, 7, 5, 63, 81,
    33, 383, 645, 841, 1, 3, 7, 5, 27, 39, 33, 25, 185, 799, 1109, 1,
    3, 1, 11, 11, 61, 109, 209, 345, 465, 935, 1, 3, 5, 13, 19, 55,
    117, 237, 455, 953, 905, 1, 3, 7, 9, 9, 25, 77, 37, 111, 357, 131,
    1, 1, 3, 13, 1, 51, 27, 235, 349, 517, 653, 1, 3, 7, 3, 27,
    43, 23, 129, 455, 431, 1999, 1, 3, 7, 13, 11, 3, 19, 55, 261, 217,
    535, 1, 3, 7, 7, 23, 53, 33, 237, 73, 421, 1439, 1, 1, 5, 5,
    19, 7, 9, 201, 339, 33, 2019, 1, 3, 5, 7, 1, 3, 9, 79, 265,
    125, 1063, 1, 1, 7, 11, 31, 61, 83, 71, 93, 393, 851, 1, 3, 1,
    13, 13, 45, 65, 89, 87, 657, 1635, 1, 3, 5, 7, 21, 3, 27, 251,
    287, 305, 1143, 1, 1, 3, 13, 5, 45, 35, 89, 61, 347, 1349, 1, 1,
    7, 1, 7, 61, 19, 33, 11, 845, 839, 1, 3, 5, 15, 3, 1, 127,
    245, 423, 57, 865, 1, 3, 5, 7, 31, 33, 53, 109, 397, 705, 307, 1,
    3, 7, 7, 11, 51, 53, 75, 325, 61, 2035, 1, 3, 3, 9, 23, 37,
    63, 115, 377, 741, 1181, 1, 1, 1, 13, 13, 7, 77, 171, 129, 615, 157,
    1, 1, 5, 5, 9, 41, 59, 215, 275, 969, 31, 1, 1, 3, 1, 27,
    1, 33, 111, 459, 503, 1703, 1, 3, 3, 9, 11, 41, 27, 213, 67, 203,
    497, 1, 3, 3, 3, 1, 35, 39, 69, 457, 765, 903, 1, 3, 5, 11,
    11, 31, 31, 195, 481, 831, 1727, 1, 3, 1, 1, 9, 39, 11, 179, 241,
    945, 439, 1, 1, 5, 13, 1, 29, 37, 113, 193, 229, 1639, 1, 3, 5,
    7, 9, 27, 75, 105, 449, 631, 2025, 1, 3, 7, 11, 7, 9, 73, 201,
    273, 915, 729, 1, 3, 3, 15, 3, 41, 61, 5, 475, 193, 699, 1, 1,
    3, 3, 13, 57, 51, 201, 313, 877, 507, 1, 1, 7, 9, 7, 3, 73,
    103, 113, 719, 1747, 1, 1, 7, 1, 1, 25, 77, 249, 185, 583, 123, 1,
    1, 5, 11, 25, 49, 17, 45, 161, 647, 1685, 1, 3, 1, 15, 15, 49,
    35, 59, 47, 523, 1961, 1, 1, 5, 5, 19, 11, 105, 33, 333, 451, 45,
    1, 3, 1, 7, 21, 1, 1, 15, 465, 731, 447, 1, 3, 5, 7, 3,
    9, 31, 205, 479, 921, 1705, 1, 1, 7, 13, 7, 29, 55, 1, 293, 135,
    1459, 1, 1, 7, 5, 19, 17, 7, 217, 133, 959, 811, 1, 1, 1, 15,
    3, 37, 55, 223, 253, 535, 1039, 1, 3, 7, 3, 19, 47, 125, 117, 473,
    257, 1215, 1, 1, 3, 5, 5, 1, 87, 95, 189, 431, 1355, 1, 1, 5,
    11, 17, 5, 63, 15, 153, 325, 259, 1, 1, 3, 11, 9, 41, 101, 21,
    161, 653, 1091, 1, 3, 3, 13, 5, 19, 37, 223, 469, 953, 15, 1, 1,
    1, 5, 3, 33, 7, 63, 111, 685, 381, 1, 1, 3, 11, 31, 27, 49,
    119, 277, 303, 1719, 909, 1, 3, 1, 11, 27, 13, 9, 107, 251, 759, 1641,
    2177, 1, 3, 3, 3, 3, 57, 33, 169, 239, 357, 1519, 997, 1, 3, 3,
    3, 11, 29, 53, 109, 411, 775, 1647, 819, 1, 1, 5, 13, 9, 3, 15,
    219, 483, 513, 1319, 965, 1, 1, 1, 5, 3, 41, 9, 53, 303, 349, 1071,
    681, 1, 3, 5, 15, 27, 15, 107, 211, 317, 283, 1317, 2661, 1, 3, 3,
    1, 13, 41, 29, 17, 91, 985, 327, 1637, 1, 1, 3, 15, 27, 3, 127,
    233, 177, 877, 1467, 3951, 1, 3, 1, 5, 1, 51, 5, 195, 501, 859, 905,
    3163, 1, 1, 1, 5, 1, 25, 5, 205, 65, 435, 1645, 4013, 1, 3, 5,
    13, 29, 57, 101, 59, 289, 701, 1363, 961, 1, 3, 7, 5, 1, 61, 33,
    117, 311, 395, 1531, 2491, 1, 1, 1, 1, 5, 35, 15, 59, 201, 195, 1423,
    2195, 1, 1, 7, 7, 13, 29, 37, 109, 481, 573, 1347, 3335, 1, 1, 5,
    5, 25, 1, 63, 53, 419, 475, 1527, 3327, 1, 1, 3, 1, 27, 55, 75,
    225, 379, 471, 211, 1655, 1, 1, 7, 15, 13, 61, 111, 95, 457, 801, 1865,
    2529, 1, 3, 5, 5, 21, 3, 31, 97, 3, 495, 1953, 145, 1, 3, 3,
    5, 13, 27, 31, 143, 133, 357, 1975, 1077, 1, 3, 3, 15, 19, 19, 23,
    221, 9, 783, 1403, 4003, 1, 3, 7, 3, 5, 53, 63, 35, 209, 221, 1517,
    1915, 1, 3, 3, 11, 27, 21, 53, 95, 359, 925, 1035, 3093, 1, 1, 3,
    9, 9, 13, 25, 125, 101, 119, 1361, 3503, 1, 3, 7, 11, 19, 43, 125,
    95, 113, 373, 655, 1001, 1, 1, 3, 15, 3, 29, 125, 5, 287, 859, 567,
    3451, 1, 3, 1, 1, 7, 21, 67, 249, 487, 663, 2041, 799, 1, 1, 3,
    9, 9, 29, 11, 229, 303, 821, 1187, 287, 1, 1, 5, 11, 25, 19, 77,
    93, 209, 155, 1717, 4085, 1, 1, 3, 3, 23, 39, 5, 29, 295, 757, 1185,
    817, 1, 3, 7, 7, 27, 25, 33, 73, 489, 543, 2011, 447, 1, 3, 1,
    5, 21, 59, 107, 109, 415, 599, 325, 1457, 1, 3, 1, 5, 27, 61, 45,
    129, 37, 923, 285, 2077, 1, 1, 1, 3, 11, 11, 17, 157, 289, 575, 749,
    2463, 1, 1, 3, 7, 25, 1, 19, 177, 361, 831, 911, 1833, 1, 3, 7,
    7, 25, 27, 11, 105, 489, 399, 483, 1287, 1, 3, 7, 11, 3, 49, 27,
    63, 33, 991, 341, 2239, 1, 3, 1, 5, 3, 49, 23, 23, 157, 145, 1709,
    1459, 1, 1, 5, 9, 29, 29, 5, 239, 201, 503, 229, 1943, 1, 3, 7,
    3, 5, 39, 43, 127, 239, 679, 1225, 2123, 1, 1, 7, 11, 13, 17, 125,
    253, 223, 67, 1319, 4019, 1, 3, 3, 3, 7, 57, 71, 131, 205, 953, 915,
    1349, 1, 1, 1, 7, 1, 59, 77, 221, 227, 67, 1853, 2577, 1, 1, 7,
    11, 31, 15, 103, 51, 505, 403, 1947, 1915, 1, 3, 3, 3, 15, 7, 41,
    179, 265, 787, 1249, 3663, 1, 3, 1, 11, 27, 53, 123, 95, 427, 877, 471,
    2167, 1, 1, 1, 9, 25, 7, 31, 47, 21, 299, 1397, 1119, 1, 3, 3,
    9, 15, 49, 9, 255, 19, 995, 837, 2323, 1, 1, 7, 3, 31, 45, 35,
    93, 179, 561, 1737, 3969, 1, 1, 1, 5, 7, 59, 27, 71, 9, 411, 59,
    1783, 1, 3, 3, 7, 27, 17, 43, 37, 505, 893, 709, 3163, 1, 1, 5,
    7, 7, 59, 47, 119, 39, 153, 259, 1409, 1, 3, 5, 1, 21, 29, 23,
    153, 309, 137, 1015, 1527, 1, 1, 5, 15, 15, 27, 41, 15, 135, 707, 481,
    2429, 1, 1, 7, 13, 1, 17, 95, 131, 497, 873, 193, 1683, 1, 1, 1,
    13, 29, 39, 55, 51, 163, 581, 1867, 2219, 1, 1, 7, 3, 21, 29, 9,
    111, 503, 7, 89, 3431, 1, 3, 7, 9, 13, 45, 61, 239, 61, 969, 77,
    4053, 1, 1, 7, 11, 13, 29, 79, 39, 361, 635, 1867, 3051, 1, 3, 7,
    3, 29, 11, 81, 193, 469, 365, 17, 3657, 1, 3, 3, 15, 13, 45, 69,
    181, 95, 315, 1025, 1935, 1, 1, 5, 15, 31, 61, 97, 117, 207, 409, 69,
    187, 1, 1, 5, 9, 27, 59, 123, 157, 409, 999, 905, 1097, 1, 1, 7,
    1, 1, 51, 99, 143, 255, 817, 179, 3317, 1, 1, 1, 1, 23, 15, 117,
    139, 245, 865, 1723, 3501, 1, 1, 5, 15, 25, 53, 9, 207, 291, 137, 291,
    653, 1, 1, 3, 9, 9, 63, 55, 147, 199, 455, 2047, 2903, 1, 1, 5,
    15, 29, 55, 85, 13, 117, 479, 1371, 2939, 1, 3, 3, 5, 17, 15, 33,
    83, 359, 469, 463, 491, 1, 1, 3, 5, 23, 39, 35, 83, 387, 891, 789,
    1469, 1, 3, 7, 9, 27, 49, 41, 49, 207, 39, 25, 2355, 1, 3, 5,
    1, 5, 7, 29, 233, 169, 827, 1631, 2263, 1, 1, 1, 1, 1, 13, 97,
    109, 255, 449, 345, 2533, 1, 3, 1, 5, 3, 15, 77, 217, 237, 57, 1711,
    725, 1, 3, 3, 7, 9, 49, 93, 213, 487, 811, 1659, 3019, 1, 1, 1,
    7, 7, 9, 57, 223, 263, 9, 443, 1103, 1, 1, 5, 11, 21, 11, 83,
    239, 347, 489, 983, 677, 1, 1, 1, 11, 9, 29, 25, 105, 391, 1001, 1807,
    1041, 1, 3, 3, 1, 11, 21, 89, 85, 259, 237, 1489, 3825, 1, 3, 5,
    5, 1, 21, 53, 127, 269, 741, 529, 1649, 1, 3, 1, 7, 3, 35, 71,
    65, 21, 985, 111, 2199, 1, 1, 5, 13, 3, 39, 33, 151, 95, 655, 1805,
    1545, 1, 3, 1, 11, 17, 53, 63, 171, 275, 649, 1791, 3309, 1, 1, 7,
    1, 3, 5, 63, 241, 77, 677, 1713, 1643, 1, 3, 3, 3, 9, 25, 7,
    33, 277, 837, 1235, 3289, 1, 3, 3, 1, 27, 13, 97, 79, 145, 197, 1237,
    1689, 1, 3, 5, 7, 27, 45, 71, 165, 405, 251, 383, 737, 1, 3, 7,
    1, 13, 21, 107, 7, 207, 329, 1671, 2053, 1, 3, 7, 1, 31, 33, 25,
    223, 37, 693, 1831, 2249, 1, 3, 3, 15, 5, 53, 111, 11, 317, 819, 1345,
    401, 1, 3, 1, 9, 7, 61, 35, 127, 453, 565, 37, 17, 1, 3, 1,
    1, 15, 3, 37, 133, 339, 181, 377, 2339, 1, 3, 7, 3, 27, 57, 27,
    23, 45, 219, 455, 2821, 1, 3, 7, 9, 3, 43, 79, 67, 15, 797, 129,
    1233, 1, 3, 5, 11, 5, 45, 123, 161, 355, 447, 1165, 2437, 1, 3, 7,
    1, 3, 59, 65, 109, 253, 447, 649, 379, 1, 3, 1, 5, 21, 23, 45,
    47, 213, 813, 1475, 1271, 1, 1, 1, 7, 9, 31, 91, 47, 161, 535, 1529,
    881, 1, 1, 5, 13, 1, 25, 85, 107, 59, 487, 221, 51, 1, 1, 1,
    1, 1, 55, 93, 95, 267, 157, 1255, 2115, 1, 3, 1, 11, 23, 55, 29,
    187, 261, 139, 515, 2627, 1, 3, 3, 13, 31, 3, 121, 245, 475, 67, 195,
    979, 1, 1, 3, 7, 25, 13, 79, 129, 475, 177, 1519, 1069, 1, 3, 3,
    9, 17, 23, 83, 191, 133, 901, 1161, 1657, 1, 3, 7, 15, 23, 61, 111,
    135, 107, 27, 583, 225, 1, 1, 5, 1, 17, 11, 31, 197, 111, 953, 1227,
    3737, 1, 1, 3, 9, 19, 25, 83, 97, 489, 781, 1591, 2061, 1, 1, 1,
    1, 9, 61, 31, 93, 39, 53, 1613, 3371, 1, 1, 1, 7, 3, 5, 103,
    247, 255, 333, 31, 3087, 1, 1, 7, 7, 17, 35, 51, 153, 363, 897, 395,
    1153, 1, 3, 7, 9, 3, 59, 127, 177, 191, 255, 1543, 503, 1, 1, 7,
    3, 1, 7, 81, 199, 411, 565, 1717, 615, 1, 1, 1, 11, 17, 35, 35,
    245, 507, 439, 523, 2343, 1, 1, 7, 15, 13, 61, 31, 99, 241, 605, 1575,
    1321, 1, 3, 1, 5, 15, 31, 45, 89, 193, 905, 691, 3917, 1, 3, 3,
    9, 29, 31, 101, 151, 187, 199, 1543, 3951, 1, 1, 7, 9, 21, 45, 71,
    19, 395, 175, 503, 3759, 1, 3, 7, 7, 17, 31, 47, 7, 135, 719, 567,
    1447, 1, 3, 3, 9, 1, 39, 1, 53, 5, 553, 371, 3833, 1, 1, 1,
    11, 1, 33, 97, 209, 377, 187, 1683, 143, 1, 1, 1, 3, 29, 33, 111,
    35, 343, 511, 273, 445, 1, 1, 1, 15, 15, 63, 73, 1, 111, 775, 665,
    2737, 1, 1, 1, 9, 29, 23, 127, 77, 33, 131, 1055, 2351, 1, 3, 5,
    7, 31, 53, 117, 57, 287, 221, 1099, 1147, 1, 3, 7, 15, 3, 17, 15,
    177, 189, 379, 179, 1095, 1, 3, 1, 15, 25, 19, 43, 113, 123, 123, 877,
    1869, 1, 3, 1, 1, 13, 63, 1, 83, 197, 215, 1005, 3531, 1, 3, 7,
    1, 27, 25, 111, 199, 239, 909, 485, 3399, 1, 1, 7, 3, 19, 57, 43,
    75, 163, 111, 359, 1987, 1, 1, 3, 7, 11, 63, 79, 235, 197, 757, 293,
    3795, 1, 3, 5, 9, 13, 55, 49, 29, 133, 949, 1185, 905, 1, 1, 7,
    1, 15, 51, 13, 223, 243, 831, 845, 2663, 1, 1, 3, 11, 25, 21, 65,
    57, 483, 665, 741, 2713, 1, 3, 5, 3, 21, 3, 81, 57, 133, 553, 683,
    425, 1, 1, 5, 11, 31, 29, 59, 189, 399, 751, 651, 4093, 1, 3, 3,
    7, 13, 59, 19, 217, 267, 355, 173, 4051, 1, 1, 5, 9, 23, 49, 57,
    145, 77, 591, 1913, 779, 1, 3, 7, 3, 25, 1, 83, 103, 393, 121, 1415,
    1503, 1, 1, 7, 9, 23, 41, 35, 157, 63, 293, 1911, 2303, 1, 3, 5,
    15, 7, 3, 9, 1, 201, 913, 1275, 3495, 1, 1, 7, 11, 15, 5, 107,
    57, 53, 451, 351, 2621, 1, 3, 7, 15, 23, 25, 97, 29, 111, 531, 1979,
    2115, 1, 1, 1, 1, 19, 11, 49, 229, 355, 195, 2033, 1701, 1, 3, 3,
    3, 15, 35, 17, 13, 425, 285, 965, 159, 1, 3, 1, 11, 11, 11, 1,
    145, 365, 471, 1527, 2309, 5863, 1, 1, 3, 9, 21, 59, 35, 123, 91, 741,
    527, 2061, 5505, 1, 3, 7, 9, 9, 37, 75, 171, 75, 943, 443, 201, 4861,
    1, 1, 7, 13, 23, 49, 67, 103, 453, 643, 1117, 1621, 7135, 1, 3, 1,
    7, 15, 43, 113, 17, 277, 301, 349, 1155, 5285, 1, 3, 5, 1, 25, 61,
    103, 81, 141, 347, 1467, 1535, 421, 1, 3, 5, 13, 29, 45, 43, 31, 403,
    711, 455, 3387, 3521, 1, 3, 3, 7, 7, 41, 71, 251, 147, 241, 1129, 2093,
    7683, 1, 1, 1, 5, 23, 61, 57, 97, 177, 387, 1557, 3587, 751, 1, 3,
    1, 13, 11, 33, 47, 147, 321, 661, 53, 2437, 3087, 1, 3, 1, 3, 17,
    21, 79, 91, 77, 1011, 745, 3551, 1857, 1, 1, 3, 15, 19, 27, 63, 231,
    267, 879, 1959, 3019, 1655, 1, 1, 7, 15, 27, 55, 21, 37, 417, 69, 327,
    2709, 6335, 1, 3, 1, 15, 1, 9, 27, 89, 205, 355, 373, 2191, 311, 1,
    1, 3, 5, 15, 51, 85, 233, 21, 971, 1823, 1843, 1417, 1, 3, 5, 13,
    31, 57, 3, 199, 211, 401, 1559, 3601, 4569, 1, 3, 3, 1, 27, 63, 93,
    123, 223, 601, 1023, 2501, 7105, 1, 1, 1, 7, 3, 31, 5, 51, 453, 535,
    255, 735, 749, 1, 3, 5, 9, 23, 63, 109, 163, 221, 845, 911, 933, 361,
    1, 1, 1, 13, 13, 17, 19, 191, 227, 711, 1523, 1635, 6397, 1, 3, 7,
    7, 21, 21, 23, 91, 439, 227, 1831, 1475, 705, 1, 3, 7, 7, 13, 39,
    99, 199, 149, 1005, 149, 445, 3367, 1, 3, 1, 5, 25, 61, 99, 187, 33,
    619, 1833, 2177, 7631, 1, 1, 1, 13, 15, 45, 1, 225, 129, 113, 2009, 1223,
    49, 1, 3, 1, 9, 7, 43, 57, 193, 409, 265, 1151, 2635, 6005, 1, 3,
    5, 5, 13, 13, 99, 163, 1, 629, 87, 925, 137, 1, 3, 7, 9, 23,
    43, 43, 1, 505, 179, 335, 2033, 8065, 1, 3, 5, 1, 7, 55, 99, 159,
    19, 883, 1503, 801, 1433, 1, 3, 7, 1, 1, 55, 53, 241, 95, 315, 723,
    3571, 4685, 1, 3, 5, 15, 29, 43, 97, 159, 427, 87, 1995, 1849, 6771, 1,
    1, 1, 7, 5, 55, 55, 203, 119, 185, 1333, 2107, 4271, 1, 1, 3, 15,
    5, 7, 19, 185, 75, 601, 2015, 2175, 4259, 1, 3, 3, 15, 3, 49, 33,
    115, 413, 321, 1787, 469, 3721, 1, 3, 1, 9, 25, 63, 123, 17, 355, 903,
    1269, 3737, 5333, 1, 1, 3, 7, 25, 41, 113, 239, 373, 533, 1823, 3513, 7745,
    1, 1, 1, 11, 13, 7, 7, 43, 145, 607, 2043, 2397, 4051, 1, 1, 3,
    3, 9, 49, 5, 173, 63, 157, 637, 2307, 6603, 1, 3, 1, 3, 23, 33,
    89, 139, 207, 389, 1389, 3385, 2169, 1, 1, 7, 3, 7, 7, 19, 7, 217,
    189, 739, 2475, 7925, 1, 1, 7, 5, 23, 37, 71, 31, 145, 29, 537, 959,
    2227, 1, 1, 7, 11, 7, 55, 39, 167, 347, 293, 577, 3077, 531, 1, 3,
    1, 5, 19, 1, 119, 133, 487, 867, 1331, 1759, 3683, 1, 3, 5, 13, 27,
    31, 77, 71, 465, 133, 105, 477, 6301, 1, 3, 5, 15, 25, 49, 35, 75,
    57, 663, 195, 1041, 5697, 1, 3, 7, 9, 9, 7, 47, 233, 397, 155, 439,
    2487, 4697, 1, 1, 5, 9, 5, 41, 125, 9, 477, 567, 2033, 769, 1553, 1,
    1, 3, 7, 7, 25, 95, 45, 211, 453, 483, 3965, 1865, 1, 3, 7, 5,
    17, 41, 109, 59, 385, 1023, 1527, 2445, 6303, 1, 3, 3, 9, 7, 29, 91,
    245, 189, 251, 1237, 2825, 7919, 1, 3, 7, 1, 25, 43, 27, 11, 63, 641,
    1765, 1683, 2445, 1, 1, 1, 7, 3, 59, 19, 81, 387, 207, 31, 1583, 607,
    1, 1, 3, 1, 3, 33, 99, 135, 267, 355, 585, 4017, 2385, 1, 1, 7,
    15, 1, 49, 35, 211, 359, 379, 1173, 2709, 3945, 1, 1, 5, 7, 29, 23,
    99, 219, 269, 977, 1175, 2305, 5633, 1, 3, 3, 15, 17, 9, 115, 21, 503,
    329, 1725, 289, 4667, 1, 1, 7, 1, 9, 1, 31, 145, 209, 833, 1527, 4021,
    2177, 1, 3, 3, 1, 25, 13, 37, 143, 217, 891, 1289, 3635, 6931, 1, 1,
    3, 9, 9, 49, 33, 123, 435, 993, 389, 2491, 2097, 1, 3, 5, 9, 11,
    53, 121, 25, 31, 589, 1939, 3981, 621, 1, 1, 1, 1, 27, 53, 9, 217,
    135, 605, 1779, 3053, 2865, 1, 1, 7, 5, 3, 53, 9, 15, 275, 613, 1395,
    2287, 1111, 1, 1, 3, 1, 13, 17, 3, 103, 195, 509, 493, 2395, 4669, 1,
    3, 5, 1, 13, 17, 59, 3, 117, 39, 1699, 2339, 5203, 1, 3, 5, 3,
    29, 23, 59, 251, 139, 625, 935, 785, 7547, 1, 3, 1, 13, 23, 47, 5,
    91, 283, 59, 919, 2427, 1631, 1, 1, 3, 9, 15, 35, 67, 131, 183, 891,
    345, 3741, 3175, 1, 3, 1, 3, 23, 11, 85, 135, 269, 347, 713, 2947, 1617,
    1, 3, 1, 3, 27, 33, 77, 189, 243, 893, 283, 885, 1999, 1, 1, 5,
    1, 31, 39, 99, 21, 437, 979, 919, 3663, 6689, 1, 1, 1, 1, 17, 27,
    55, 161, 205, 583, 383, 1681, 6445, 1, 3, 7, 1, 31, 59, 111, 129, 121,
    555, 653, 2787, 3899, 1, 3, 1, 9, 11, 59, 51, 115, 349, 809, 513, 1585,
    31, 1, 1, 1, 3, 29, 17, 3, 173, 111, 671, 1289, 397, 799, 1, 3,
    1, 7, 17, 55, 85, 49, 23, 915, 1929, 685, 7021, 1, 3, 7, 11, 3,
    41, 123, 227, 111, 805, 1567, 751, 7927, 1, 1, 7, 3, 15, 45, 117, 39,
    491, 401, 1775, 2197, 4303, 1, 1, 7, 9, 13, 23, 63, 245, 163, 595, 1271,
    2143, 8105, 1, 1, 3, 1, 31, 57, 45, 35, 327, 89, 1845, 1075, 4649, 1,
    3, 7, 7, 11, 31, 51, 209, 103, 215, 1693, 3427, 677, 1, 1, 5, 13,
    3, 7, 83, 199, 325, 461, 1185, 1997, 2327, 1, 1, 3, 15, 23, 13, 23,
    39, 209, 267, 1995, 3999, 6277, 1, 1, 7, 1, 5, 37, 99, 117, 509, 303,
    655, 935, 6321, 1, 1, 1, 15, 23, 39, 123, 11, 445, 897, 1327, 2819, 1899,
    1, 1, 5, 5, 7, 7, 7, 61, 349, 865, 707, 2097, 1217, 1, 1, 5,
    9, 1, 63, 35, 187, 207, 53, 1917, 621, 2113, 1, 1, 1, 15, 21, 61,
    101, 169, 129, 813, 453, 323, 7283, 1, 1, 7, 7, 27, 1, 27, 141, 33,
    307, 2023, 2561, 8111, 1, 1, 5, 13, 3, 9, 3, 87, 451, 691, 973, 539,
    4393, 1, 1, 5, 1, 23, 23, 9, 101, 349, 299, 583, 2037, 5247, 1, 1,
    5, 11, 15, 39, 99, 163, 395, 123, 1067, 2735, 4407, 1, 3, 5, 11, 9,
    61, 51, 237, 483, 501, 1767, 1419, 5047, 1, 1, 7, 9, 27, 31, 57, 103,
    291, 537, 1759, 1861, 3815, 1, 1, 5, 15, 31, 5, 107, 103, 159, 939, 1331,
    1219, 2045, 1, 3, 5, 15, 7, 45, 99, 175, 131, 967, 593, 3191, 5403, 1,
    3, 7, 11, 19, 43, 57, 129, 285, 943, 1507, 3979, 2807, 1, 1, 5, 3,
    11, 7, 117, 241, 393, 1023, 95, 535, 7235, 1, 3, 1, 5, 17, 5, 111,
    165, 343, 65, 1393, 2855, 3801, 1, 1, 5, 5, 27, 1, 87, 9, 177, 455,
    1915, 1557, 7175, 1, 1, 5, 11, 31, 33, 105, 255, 281, 303, 1831, 1575, 1179,
    1, 3, 3, 9, 7, 37, 3, 85, 161, 491, 299, 4003, 7429, 1, 1, 5,
    9, 1, 19, 23, 175, 497, 613, 2043, 1467, 2379, 1, 3, 7, 13, 5, 57,
    93, 17, 383, 801, 1465, 3151, 4717, 1, 3, 7, 5, 3, 19, 87, 25, 95,
    643, 79, 123, 7175, 1, 1, 1, 5, 3, 27, 49, 155, 45, 655, 1079, 3243,
    8147, 1, 3, 1, 11, 13, 57, 107, 37, 147, 119, 887, 1317, 6687, 1, 3,
    3, 13, 29, 23, 105, 137, 339, 509, 1543, 2339, 2167, 1, 1, 5, 3, 29,
    5, 89, 65, 191, 33, 755, 737, 3495, 1, 1, 5, 1, 19, 27, 123, 67,
    323, 731, 1753, 1773, 1731, 1, 1, 5, 11, 23, 35, 21, 1, 107, 509, 1617,
    1565, 1617, 1, 1, 7, 15, 31, 7, 31, 241, 479, 457, 1353, 1531, 5939, 1,
    3, 1, 1, 31, 19, 71, 127, 379, 151, 739, 893, 7857, 1, 1, 1, 3,
    31, 41, 99, 55, 229, 585, 1881, 2267, 3555, 1, 3, 3, 1, 25, 3, 55,
    95, 409, 429, 527, 611, 6551, 1, 3, 5, 3, 3, 59, 81, 83, 131, 981,
    67, 295, 3313, 1, 1, 1, 13, 23, 57, 47, 127, 307, 621, 865, 2589, 4033,
    1, 1, 7, 11, 7, 17, 15, 207, 89, 77, 1923, 3649, 119, 1, 3, 5,
    3, 23, 5, 87, 247, 233, 43, 475, 999, 6999, 1, 1, 7, 13, 19, 49,
    53, 21, 105, 181, 1569, 3151, 5089, 1, 1, 5, 7, 11, 53, 119, 11, 301,
    647, 759, 2849, 4541, 1, 1, 7, 11, 31, 31, 83, 107, 373, 41, 921, 3935,
    2859, 1, 3, 5, 13, 13, 57, 121, 133, 355, 153, 607, 3199, 8097, 1, 1,
    5, 9, 5, 25, 113, 21, 17, 643, 415, 2705, 903, 1, 1, 5, 1, 19,
    3, 119, 199, 241, 957, 1203, 1291, 6355, 1, 1, 3, 13, 19, 1, 11, 73,
    387, 97, 783, 3875, 4573, 1, 1, 7, 3, 27, 11, 99, 193, 311, 889, 535,
    801, 4467, 1, 1, 1, 1, 3, 53, 61, 245, 497, 127, 1213, 1147, 2225, 1,
    3, 5, 1, 9, 49, 21, 229, 481, 23, 47, 3959, 2991, 1, 1, 5, 1,
    9, 21, 123, 107, 359, 759, 993, 695, 5609, 1, 3, 5, 11, 25, 55, 73,
    245, 373, 525, 1399, 1727, 1763, 1, 1, 5, 3, 21, 41, 83, 161, 43, 563,
    1655, 3539, 7941, 1, 3, 1, 13, 29, 59, 25, 119, 199, 375, 1507, 2095, 3281,
    1, 3, 3, 5, 21, 23, 63, 85, 115, 77, 745, 771, 3319, 1, 1, 7,
    3, 3, 37, 11, 233, 173, 51, 1723, 1441, 6529, 1, 1, 1, 11, 1, 55,
    113, 25, 369, 1023, 1691, 1797, 159, 1, 3, 1, 15, 13, 43, 63, 113, 55,
    351, 1459, 3117, 3499, 1, 3, 7, 1, 19, 61, 17, 243, 203, 349, 1069, 105,
    6015, 1, 1, 5, 1, 23, 49, 7, 129, 99, 377, 1989, 531, 6315, 1, 1,
    7, 7, 11, 23, 107, 63, 163, 351, 1385, 127, 7439, 1, 3, 5, 15, 15,
    43, 81, 229, 21, 179, 1357, 3813, 7345, 1, 1, 1, 15, 23, 19, 89, 251,
    161, 443, 983, 1059, 1241, 1, 3, 3, 9, 7, 17, 11, 239, 325, 117, 893,
    917, 6327, 1, 1, 7, 1, 31, 33, 23, 241, 255, 991, 903, 3973, 3935, 1,
    3, 7, 3, 11, 17, 61, 219, 461, 437, 1843, 1845, 771, 1, 3, 7, 5,
    7, 61, 79, 225, 215, 411, 885, 3949, 2757, 1, 3, 7, 3, 3, 15, 25,
    49, 351, 671, 1573, 3643, 2383, 1, 1, 7, 1, 29, 1, 121, 61, 49, 833,
    1363, 427, 3237, 1, 3, 3, 5, 11, 9, 79, 113, 341, 25, 1797, 1641, 6899,
    1, 1, 5, 9, 11, 15, 71, 169, 269, 359, 1991, 3673, 601, 1, 1, 1,
    11, 31, 7, 5, 165, 23, 917, 617, 4059, 2599, 1, 1, 7, 9, 19, 25,
    119, 103, 115, 247, 1265, 859, 5543, 1, 1, 7, 7, 15, 27, 45, 29, 67,
    989, 753, 3215, 6281, 1, 3, 1, 7, 11, 15, 35, 39, 61, 483, 1427, 193,
    3469, 1, 3, 5, 9, 21, 41, 21, 223, 233, 341, 177, 1167, 3101, 1, 3,
    3, 5, 19, 25, 53, 247, 29, 909, 2047, 1683, 4433, 1, 3, 3, 9, 31,
    7, 71, 85, 501, 447, 113, 3465, 3445, 1, 1, 3, 15, 19, 9, 127, 69,
    429, 451, 531, 1319, 507, 1, 3, 1, 3, 29, 1, 53, 63, 267, 293, 333,
    2749, 1785, 1, 3, 1, 7, 5, 43, 71, 165, 325, 309, 921, 2277, 6423, 1,
    1, 7, 5, 23, 31, 63, 35, 221, 733, 1901, 153, 3577, 1, 3, 7, 11,
    7, 5, 39, 141, 293, 237, 501, 1759, 7763, 1, 1, 3, 15, 1, 49, 5,
    7, 239, 1021, 1215, 3857, 4637, 1, 1, 5, 1, 1, 31, 77, 243, 155, 505,
    855, 3117, 815, 1, 1, 7, 3, 3, 33, 55, 249, 185, 443, 543, 1333, 5041,
    1, 3, 5, 11, 13, 13, 83, 55, 443, 723, 135, 3073, 4215, 1, 3, 5,
    9, 15, 5, 13, 209, 313, 891, 431, 4009, 7531, 1, 1, 5, 15, 13, 37,
    91, 117, 321, 791, 2045, 4073, 6787, 1, 1, 3, 7, 1, 43, 61, 121, 393,
    797, 1347, 491, 341, 1, 1, 7, 3, 1, 31, 63, 205, 43, 359, 325, 3329,
    4961, 1, 1, 7, 11, 27, 21, 83, 151, 97, 45, 1839, 3221, 2575, 1, 3,
    7, 3, 13, 7, 97, 89, 277, 351, 1493, 1161, 6629, 1, 3, 7, 11, 27,
    17, 19, 211, 373, 73, 1325, 183, 1073, 1, 3, 3, 13, 9, 23, 111, 235,
    153, 857, 1669, 3423, 3817, 1, 1, 1, 5, 25, 63, 99, 11, 283, 755, 999,
    2795, 7795, 1, 1, 5, 11, 3, 53, 127, 73, 61, 91, 1099, 921, 1787, 1,
    3, 5, 1, 9, 39, 9, 181, 287, 545, 1343, 2587, 961, 1, 3, 7, 5,
    9, 47, 7, 113, 69, 531, 753, 2225, 5705, 1, 1, 3, 13, 29, 39, 71,
    223, 179, 871, 1743, 2645, 7355, 1, 1, 7, 5, 1, 41, 87, 251, 303, 271,
    791, 2825, 2723, 1, 3, 1, 11, 31, 15, 119, 127, 451, 161, 1909, 3591, 2811,
    1, 1, 3, 13, 31, 27, 111, 119, 423, 419, 1659, 941, 6123, 1, 1, 1,
    7, 27, 39, 27, 61, 417, 629, 1411, 1489, 5915, 1, 3, 3, 1, 29, 37,
    111, 13, 129, 831, 1423, 3859, 7009, 1, 1, 1, 3, 3, 51, 67, 45, 289,
    715, 183, 357, 3661, 1, 3, 3, 1, 23, 49, 55, 99, 77, 795, 429, 1815,
    1867, 1, 1, 5, 7, 1, 37, 45, 27, 57, 937, 1583, 899, 819, 1, 3,
    5, 7, 7, 37, 1, 109, 217, 203, 207, 2243, 2337, 1, 1, 3, 15, 27,
    51, 119, 45, 289, 395, 95, 2425, 7421, 1, 3, 1, 9, 27, 61, 41, 227,
    279, 31, 1105, 153, 5045, 1, 1, 7, 15, 31, 43, 109, 67, 347, 611, 1811,
    2969, 3545, 1, 3, 1, 7, 17, 15, 103, 35, 407, 935, 1159, 2357, 6559, 1,
    1, 1, 7, 5, 7, 101, 43, 301, 189, 641, 3015, 6955, 1, 3, 1, 1,
    3, 41, 61, 43, 213, 595, 955, 377, 7527, 1, 3, 3, 15, 19, 45, 59,
    57, 425, 683, 1187, 221, 4265, 1, 3, 5, 3, 27, 47, 85, 73, 67, 509,
    555, 3887, 1883, 1, 3, 5, 13, 19, 45, 83, 191, 117, 723, 701, 2783, 389,
    1, 1, 1, 3, 17, 21, 125, 13, 387, 613, 1647, 2555, 2435, 1, 3, 3,
    11, 21, 53, 105, 5, 493, 167, 1195, 2815, 5761, 1, 1, 1, 7, 27, 17,
    107, 83, 31, 787, 1541, 3761, 4083, 1, 3, 5, 11, 5, 15, 17, 219, 273,
    207, 119, 1693, 373, 1, 1, 5, 15, 7, 11, 9, 103, 253, 377, 1667, 1159,
    5669, 1, 3, 7, 5, 17, 55, 23, 77, 341, 419, 1165, 1625, 6609, 1, 3,
    1, 15, 29, 7, 101, 183, 181, 111, 751, 247, 4205, 1, 1, 1, 11, 3,
    5, 91, 43, 247, 661, 621, 2791, 4245, 1, 1, 1, 11, 11, 63, 25, 239,
    39, 311, 1603, 1179, 4959, 1, 3, 1, 7, 23, 61, 49, 99, 287, 251, 1053,
    3819, 5575, 1, 1, 1, 7, 21, 17, 33, 163, 503, 537, 1159, 2473, 8113, 1,
    1, 5, 13, 23, 57, 57, 89, 503, 299, 1319, 2177, 8155, 1, 3, 3, 5,
    5, 5, 61, 103, 247, 339, 1137, 3717, 747, 1, 3, 1, 7, 17, 55, 41,
    155, 363, 873, 59, 2093, 4255, 1, 3, 3, 7, 9, 25, 93, 87, 479, 477,
    2047, 321, 2277, 1, 1, 3, 11, 7, 37, 41, 237, 121, 187, 929, 1823, 313,
    1, 1, 1, 11, 29, 41, 79, 11, 295, 715, 979, 2649, 915, 1, 1, 3,
    13, 5, 9, 55, 159, 343, 887, 235, 53, 593, 1, 1, 1, 3, 13, 23,
    105, 125, 405, 521, 897, 559, 1561, 1, 1, 3, 9, 23, 33, 121, 183, 181,
    141, 1103, 821, 7193, 1, 1, 3, 9, 23, 1, 113, 63, 59, 783, 1525, 115,
    3193, 1, 3, 1, 9, 23, 29, 83, 237, 83, 477, 1163, 2951, 3523, 1, 3,
    5, 1, 21, 25, 55, 79, 39, 45, 1509, 2127, 5259, 1, 1, 7, 9, 31,
    61, 83, 145, 89, 723, 393, 1543, 7765, 1, 1, 5, 15, 21, 17, 73, 189,
    473, 1023, 1627, 2305, 7127, 1, 3, 1, 7, 7, 23, 61, 203, 373, 941, 975,
    3225, 7659, 1, 3, 1, 15, 31, 19, 99, 197, 113, 131, 263, 2427, 2085, 1,
    1, 1, 13, 25, 27, 3, 139, 351, 267, 1583, 913, 5497, 1, 3, 5, 11,
    7, 1, 65, 85, 271, 151, 1003, 889, 6127, 1, 3, 7, 5, 21, 27, 39,
    147, 139, 81, 1377, 1969, 6171, 1, 3, 5, 13, 1, 11, 101, 27, 285, 939,
    1055, 3237, 7063, 1, 3, 3, 7, 23, 43, 67, 89, 201, 393, 277, 3531, 4003,
    1, 3, 7, 9, 3, 13, 103, 241, 161, 111, 61, 4001, 6291, 1, 1, 5,
    7, 5, 27, 57, 87, 313, 471, 227, 1395, 2821, 1, 3, 1, 5, 11, 35,
    11, 157, 257, 679, 245, 329, 2423, 1, 1, 7, 11, 15, 5, 29, 229, 365,
    911, 477, 219, 4851, 1, 3, 1, 9, 5, 57, 87, 19, 93, 403, 1729, 1843,
    7301, 1, 1, 3, 3, 27, 29, 11, 99, 149, 917, 709, 3761, 6947, 1, 1,
    5, 1, 19, 63, 69, 71, 209, 423, 2015, 3905, 2077, 1, 3, 7, 7, 7,
    3, 9, 63, 137, 781, 1825, 1331, 2987, 1, 3, 7, 11, 15, 23, 7, 205,
    27, 619, 225, 297, 8179, 1, 3, 3, 13, 11, 15, 11, 185, 343, 269, 1415,
    843, 4001, 1, 3, 3, 1, 15, 47, 101, 49, 25, 933, 903, 1927, 6641, 1,
    3, 3, 13, 7, 45, 29, 51, 143, 549, 119, 235, 7345, 1, 1, 3, 9,
    29, 45, 53, 133, 173, 543, 545, 2015, 149, 1, 1, 3, 11, 3, 3, 109,
    193, 349, 243, 1381, 3547, 4387, 1, 3, 7, 9, 7, 3, 37, 121, 79, 59,
    1453, 3273, 477, 1, 3, 5, 15, 19, 15, 83, 5, 203, 603, 373, 955, 1587,
    1, 1, 5, 11, 25, 41, 89, 47, 313, 443, 1799, 1827, 5881, 1, 1, 3,
    5, 9, 7, 15, 87, 285, 509, 289, 855, 3131, 1, 1, 3, 11, 13, 57,
    41, 235, 357, 213, 1867, 1961, 2759, 1, 3, 5, 9, 25, 15, 111, 197, 479,
    539, 1833, 105, 7245, 1, 1, 5, 5, 23, 47, 101, 97, 97, 261, 1301, 3895,
    5425, 1, 1, 7, 11, 13, 49, 39, 233, 7, 965, 2015, 1341, 941, 1, 1,
    5, 7, 19, 63, 91, 77, 469, 367, 1849, 1213, 7611, 1, 3, 3, 15, 17,
    57, 27, 107, 133, 431, 445, 2885, 5963, 1, 1, 3, 1, 27, 37, 119, 241,
    403, 239, 833, 3057, 5557, 1, 3, 3, 13, 11, 47, 35, 41, 243, 143, 1923,
    1883, 2543, 1, 1, 5, 5, 3, 15, 45, 205, 179, 515, 161, 895, 3679, 1,
    3, 1, 1, 5, 39, 99, 221, 115, 983, 1913, 665, 7835, 1, 3, 5, 15,
    5, 5, 111, 45, 373, 143, 1107, 1413, 2935, 1, 3, 7, 11, 17, 53, 77,
    159, 319, 279, 835, 139, 3633, 1, 1, 7, 15, 5, 57, 105, 139, 491, 409,
    51, 2875, 427, 1, 1, 1, 9, 9, 9, 93, 45, 265, 307, 589, 557, 3971,
    1, 3, 5, 3, 23, 45, 5, 9, 123, 841, 679, 2213, 4507, 1, 3, 5,
    3, 27, 55, 55, 19, 405, 43, 1897, 3515, 683, 1, 1, 7, 15, 23, 47,
    121, 105, 341, 707, 799, 1843, 7011, 1, 1, 3, 13, 23, 51, 71, 161, 415,
    819, 729, 297, 4461, 1, 3, 5, 15, 13, 39, 43, 103, 251, 583, 775, 877,
    4947, 1, 3, 7, 5, 19, 61, 121, 49, 75, 963, 297, 3751, 911, 1, 3,
    5, 7, 15, 51, 23, 23, 453, 675, 1575, 473, 3763, 1, 1, 7, 11, 9,
    37, 69, 137, 251, 89, 1823, 1289, 2983, 1, 3, 3, 5, 11, 39, 39, 231,
    427, 633, 1453, 579, 5823, 1, 3, 7, 11, 31, 57, 87, 81, 161, 929, 1293,
    3215, 4803, 1, 3, 5, 5, 27, 33, 11, 151, 25, 1017, 41, 61, 4381, 1,
    3, 1, 15, 23, 25, 7, 21, 231, 407, 817, 2089, 839, 1, 1, 7, 1,
    5, 51, 117, 59, 251, 861, 727, 481, 2207, 1, 1, 5, 3, 21, 19, 97,
    199, 135, 203, 1177, 2751, 2863, 1, 3, 7, 3, 27, 3, 5, 109, 17, 933,
    911, 921, 1173, 1, 3, 7, 1, 7, 1, 121, 205, 381, 971, 255, 3313, 5479,
    1, 3, 1, 1, 17, 59, 3, 5, 271, 149, 111, 3707, 7893, 1, 1, 1,
    1, 17, 61, 47, 117, 187, 839, 435, 399, 3173, 1, 3, 3, 7, 5, 9,
    119, 191, 197, 791, 375, 3361, 6677, 1, 1, 5, 3, 21, 49, 69, 249, 39,
    69, 673, 109, 7051, 1, 1, 3, 11, 21, 37, 121, 93, 261, 5, 1269, 767,
    2801, 1, 1, 5, 9, 31, 49, 9, 87, 375, 773, 1517, 3057, 2169, 1, 1,
    5, 3, 13, 33, 31, 87, 353, 991, 1809, 859, 6117, 1, 1, 5, 11, 3,
    21, 103, 41, 129, 137, 1567, 3483, 5317, 1, 3, 5, 1, 3, 31, 5, 15,
    109, 723, 1439, 2543, 2377, 1, 3, 3, 13, 11, 17, 9, 243, 233, 543, 903,
    2775, 6877, 1, 1, 7, 1, 23, 45, 61, 137, 207, 457, 245, 3833, 6533, 1,
    3, 1, 1, 31, 7, 71, 153, 501, 749, 1477, 621, 6577, 1, 3, 1, 13,
    3, 45, 3, 233, 85, 847, 1031, 141, 5029, 1, 3, 1, 13, 17, 35, 49,
    157, 243, 175, 905, 539, 8059, 1, 3, 1, 11, 19, 45, 31, 49, 399, 341,
    2047, 1527, 5993, 1, 3, 1, 3, 5, 5, 33, 163, 239, 607, 1367, 2747, 1513,
    1, 3, 3, 11, 9, 29, 33, 255, 29, 955, 367, 1709, 4993, 1, 3, 7,
    5, 19, 35, 11, 47, 109, 235, 1125, 4019, 5395, 1, 1, 7, 1, 19, 29,
    43, 1, 199, 479, 1025, 1065, 2203, 1, 3, 1, 9, 17, 13, 45, 167, 125,
    869, 1667, 1083, 4015, 1, 1, 5, 11, 27, 45, 115, 199, 375, 761, 1641, 3761,
    5509, 1, 1, 7, 15, 9, 47, 47, 133, 401, 555, 1077, 1381, 1903, 1, 3,
    3, 15, 3, 45, 19, 49, 377, 135, 239, 3605, 1053, 1, 3, 1, 11, 17,
    5, 83, 101, 247, 267, 1337, 2649, 513, 1, 3, 1, 11, 13, 41, 41, 113,
    243, 463, 1077, 565, 2871, 1, 3, 5, 11, 19, 63, 81, 51, 139, 921, 2021,
    417, 1305, 1, 3, 3, 1, 23, 61, 13, 123, 135, 521, 1963, 3085, 4395, 1,
    3, 1, 1, 15, 61, 17, 245, 479, 77, 287, 3043, 2647, 1, 1, 7, 15,
    29, 5, 125, 123, 149, 919, 1779, 3763, 1479, 1, 1, 3, 1, 19, 49, 27,
    127, 253, 279, 739, 147, 6835, 1, 3, 5, 11, 21, 27, 33, 85, 419, 441,
    1341, 289, 2759, 1, 3, 1, 3, 3, 9, 17, 99, 375, 251, 1823, 2433, 1525,
    1, 3, 1, 3, 5, 55, 25, 225, 473, 825, 1061, 2987, 4397, 1, 1, 7,
    15, 23, 59, 9, 163, 105, 911, 905, 3715, 4917, 1, 3, 1, 11, 21, 53,
    127, 3, 507, 467, 547, 3003, 6939, 1, 1, 1, 13, 15, 7, 1, 7, 101,
    645, 1469, 843, 2843, 1, 3, 3, 9, 11, 35, 95, 53, 291, 459, 669, 1163,
    4893, 1, 1, 3, 3, 25, 29, 29, 223, 21, 553, 177, 3347, 3575, 1, 1,
    5, 1, 23, 17, 21, 57, 383, 427, 397, 1947, 2627, 1, 3, 7, 1, 21,
    53, 79, 59, 133, 461, 1703, 3071, 4679, 1, 3, 5, 1, 27, 31, 83, 159,
    505, 121, 1969, 1073, 2117, 1, 1, 3, 1, 19, 25, 43, 115, 191, 845, 1923,
    903, 2319, 1, 1, 3, 9, 27, 37, 31, 111, 437, 925, 501, 883, 3485, 1,
    3, 5, 5, 15, 25, 51, 131, 149, 811, 1827, 1519, 1435, 1, 1, 7, 13,
    3, 39, 103, 107, 473, 553, 1763, 399, 2137, 1, 3, 7, 13, 27, 25, 49,
    29, 497, 863, 1715, 99, 1521, 1, 1, 1, 9, 27, 37, 67, 59, 11, 369,
    893, 2249, 5303, 1, 3, 3, 13, 19, 9, 93, 29, 247, 35, 833, 1037, 7137,
    1, 3, 7, 3, 25, 17, 63, 239, 395, 367, 1935, 2095, 5191, 1, 3, 5,
    15, 23, 51, 13, 101, 477, 511, 1951, 2505, 4155, 1, 3, 3, 15, 3, 55,
    15, 173, 21, 699, 1617, 1573, 2645, 1, 1, 3, 11, 7, 55, 69, 165, 255,
    397, 2033, 9, 843, 1, 3, 1, 13, 5, 3, 37, 99, 165, 971, 555, 2379,
    7879, 1, 1, 5, 3, 19, 37, 23, 197, 145, 315, 981, 161, 323, 1, 1,
    7, 7, 17, 37, 27, 189, 371, 145, 1097, 2801, 5469, 1, 1, 3, 9, 23,
    15, 39, 7, 25, 221, 757, 1393, 4629, 1, 1, 1, 1, 13, 31, 29, 197,
    237, 173, 337, 743, 1459, 1, 1, 5, 15, 17, 7, 127, 29, 307, 965, 1567,
    2771, 6053, 1, 3, 1, 1, 13, 57, 41, 59, 77, 67, 1985, 3443, 7495, 1,
    3, 7, 15, 17, 21, 57, 143, 179, 99, 217, 1763, 873, 1, 1, 7, 1,
    21, 17, 123, 39, 95, 775, 1865, 341, 6167, 1, 3, 7, 3, 31, 33, 33,
    163, 281, 765, 1809, 1469, 7011, 1, 3, 7, 7, 25, 35, 45, 109, 221, 25,
    757, 597, 3057, 1, 3, 5, 3, 27, 25, 97, 21, 351, 841, 1339, 565, 7181,
    1, 1, 1, 15, 23, 61, 97, 57, 503, 379, 25, 1197, 6957, 1, 3, 3,
    3, 13, 49, 127, 89, 329, 503, 1957, 3569, 7013, 1, 1, 7, 7, 7, 15,
    43, 61, 227, 859, 279, 3309, 1941, 1, 3, 1, 9, 19, 1, 111, 45, 315,
    339, 1049, 121, 2711, 1, 1, 3, 11, 7, 33, 121, 253, 267, 845, 1677, 569,
    3743, 1, 3, 7, 9, 9, 53, 113, 11, 177, 165, 1707, 2027, 2099, 1, 1,
    5, 7, 19, 41, 33, 129, 389, 249, 1945, 1393, 5941, 1, 1, 1, 1, 27,
    37, 63, 171, 301, 179, 223, 3775, 1189, 1, 3, 3, 5, 5, 33, 101, 37,
    505, 561, 1681, 567, 2197, 1, 3, 7, 13, 25, 23, 29, 27, 325, 757, 5,
    487, 3241, 1, 3, 3, 7, 27, 13, 85, 35, 171, 565, 969, 773, 7173, 1,
    3, 5, 5, 11, 55, 33, 243, 401, 939, 73, 775, 1159, 1, 1, 3, 13,
    13, 63, 9, 161, 343, 547, 1659, 1005, 8041, 1, 3, 5, 7, 15, 27, 27,
    51, 475, 957, 445, 3745, 5113, 1, 1, 3, 7, 15, 49, 63, 181, 15, 1,
    1915, 633, 1039, 1, 3, 7, 1, 1, 11, 15, 221, 375, 59, 1471, 113, 5661,
    1, 3, 5, 5, 11, 41, 115, 87, 263, 173, 1249, 2235, 6863, 1, 1, 5,
    11, 19, 1, 61, 25, 239, 5, 1869, 2269, 3911, 1, 3, 5, 7, 23, 59,
    99, 47, 439, 105, 455, 547, 2447, 1, 1, 7, 15, 25, 15, 117, 185, 83,
    243, 1099, 2613, 7721, 1, 3, 1, 9, 5, 49, 27, 237, 239, 177, 1507, 2059,
    1731, 1, 3, 3, 11, 29, 47, 119, 243, 475, 443, 111, 787, 2597, 1, 1,
    7, 1, 25, 39, 95, 107, 391, 149, 397, 3755, 2735, 1, 3, 7, 11, 13,
    49, 37, 135, 99, 473, 1961, 1233, 7359, 1, 3, 5, 11, 29, 59, 123, 53,
    371, 573, 1099, 3035, 3217, 1, 1, 1, 11, 25, 47, 105, 147, 317, 69, 1201,
    3781, 2457, 1, 1, 5, 9, 3, 31, 25, 127, 153, 303, 1367, 3583, 5229, 1,
    1, 3, 13, 25, 33, 11, 101, 85, 741, 1191, 1769, 4119, 1, 1, 3, 13,
    19, 59, 81, 71, 255, 277, 991, 2183, 3257, 1, 3, 1, 3, 23, 27, 89,
    237, 249, 837, 759, 43, 5571, 1, 1, 1, 9, 15, 35, 45, 213, 423, 159,
    353, 3123, 6399, 1, 1, 5, 9, 15, 45, 83, 65, 115, 513, 361, 1877, 4307,
    1, 1, 7, 11, 17, 61, 15, 143, 491, 253, 443, 3521, 7611, 1, 1, 3,
    11, 11, 49, 117, 117, 279, 715, 1365, 689, 4339, 1, 1, 3, 13, 3, 53,
    123, 89, 91, 471, 1723, 1811, 1285, 1, 3, 7, 13, 7, 5, 99, 235, 465,
    915, 1813, 3137, 7645, 1, 3, 3, 13, 5, 45, 37, 99, 459, 541, 225, 2417,
    6385, 1, 1, 1, 15, 19, 39, 109, 21, 117, 589, 1261, 3695, 4251, 1, 1,
    7, 11, 23, 43, 35, 43, 135, 509, 1331, 1567, 7085, 1, 1, 5, 5, 23,
    3, 61, 151, 171, 295, 1377, 2165, 2125, 1, 3, 3, 5, 3, 57, 17, 73,
    71, 55, 1373, 2067, 3249, 1, 1, 5, 9, 25, 39, 65, 75, 141, 849, 237,
    3719, 6705, 1, 1, 7, 1, 17, 17, 23, 91, 333, 749, 657, 3267, 3343, 1,
    3, 1, 5, 5, 27, 15, 107, 345, 405, 111, 345, 5505, 1, 3, 3, 13,
    1, 9, 19, 63, 427, 995, 1257, 923, 267, 1, 1, 1, 7, 21, 19, 65,
    249, 401, 729, 1403, 1579, 3443, 1, 3, 5, 1, 3, 43, 81, 11, 473, 1011,
    1755, 117, 2881, 1, 1, 7, 13, 3, 63, 95, 11, 23, 895, 1591, 2623, 6887,
    1, 3, 1, 3, 17, 11, 39, 165, 367, 363, 1207, 2555, 5437, 1, 1, 1,
    7, 17, 9, 19, 175, 7, 535, 1779, 3341, 4825, 1, 1, 7, 3, 27, 7,
    19, 217, 479, 143, 1189, 2809, 339, 1, 3, 7, 9, 25, 41, 9, 39, 391,
    331, 1427, 2321, 1673, 1, 3, 1, 13, 7, 17, 11, 27, 125, 799, 1325, 517,
    1043, 1, 1, 3, 15, 29, 11, 73, 11, 289, 1, 839, 3311, 7535, 1, 1,
    1, 11, 11, 59, 25, 47, 153, 297, 679, 1441, 7105, 1, 3, 5, 7, 25,
    29, 13, 227, 379, 247, 449, 679, 6581, 1, 1, 1, 5, 9, 59, 81, 195,
    289, 705, 183, 1, 3703, 1, 3, 3, 9, 31, 1, 71, 155, 307, 467, 1699,
    269, 6077, 1, 3, 1, 11, 31, 21, 59, 225, 385, 623, 117, 1435, 3195, 1,
    1, 7, 9, 3, 43, 97, 15, 145, 279, 1785, 545, 3977, 1, 1, 5, 9,
    25, 27, 113, 193, 31, 255, 691, 3315, 7005, 1, 3, 7, 5, 9, 19, 69,
    87, 379, 931, 1567, 1391, 4765, 1, 1, 1, 15, 15, 23, 127, 69, 113, 801,
    1923, 2847, 1073, 1, 1, 1, 1, 21, 51, 65, 133, 465, 739, 2029, 2243, 4023,
    1, 1, 5, 11, 9, 41, 71, 217, 317, 855, 275, 1965, 3151, 1, 1, 7,
    5, 19, 3, 81, 127, 423, 415, 565, 1941, 5079, 1, 1, 3, 1, 19, 19,
    117, 169, 353, 159, 1235, 845, 2381, 1, 3, 1, 15, 21, 27, 77, 5, 113,
    201, 311, 2263, 7855, 1, 3, 5, 9, 5, 21, 41, 119, 447, 983, 1703, 2707,
    2789, 1, 1, 5, 3, 5, 19, 9, 131, 269, 999, 1259, 3843, 7753, 1, 3,
    7, 11, 25, 27, 91, 187, 177, 921, 163, 1141, 4903, 1, 3, 1, 7, 15,
    21, 67, 155, 335, 149, 2011, 2483, 7015, 1, 1, 1, 7, 3, 53, 29, 119,
    21, 933, 595, 3141, 7925, 1, 1, 1, 9, 21, 33, 55, 87, 451, 297, 1615,
    697, 2299, 1, 3, 1, 9, 9, 5, 3, 113, 197, 137, 1105, 1949, 4651, 1,
    1, 7, 3, 7, 27, 109, 99, 121, 463, 621, 887, 5847, 1, 3, 7, 7,
    31, 61, 21, 69, 443, 81, 151, 3601, 699, 1, 1, 7, 11, 7, 63, 97,
    241, 87, 961, 1279, 1715, 3183, 1, 1, 3, 5, 7, 41, 5, 123, 189, 283,
    1775, 49, 6107, 1, 1, 7, 15, 7, 19, 71, 117, 195, 67, 1583, 3371, 777,
    1, 1, 1, 15, 19, 43, 81, 103, 173, 209, 447, 1735, 5023, 1, 1, 5,
    15, 15, 9, 99, 185, 451, 605, 1429, 1257, 6825, 1, 3, 1, 11, 11, 21,
    79, 13, 23, 607, 1601, 3603, 147, 1, 1, 3, 1, 27, 51, 83, 191, 59,
    281, 1853, 1441, 5359, 1, 1, 1, 11, 31, 17, 117, 239, 385, 465, 1787, 2645,
    6047, 1, 1, 7, 5, 17, 59, 111, 143, 419, 163, 763, 2327, 1741, 1, 1,
    1, 3, 3, 43, 3, 203, 1, 373, 1829, 3493, 2347, 1, 3, 7, 13, 21,
    17, 89, 147, 51, 665, 397, 2475, 3393, 1, 3, 7, 15, 19, 33, 1, 211,
    155, 355, 1137, 1633, 5025, 1, 3, 3, 9, 7, 63, 127, 59, 205, 645, 2047,
    1187, 2711, 1, 3, 3, 5, 7, 59, 125, 35, 285, 811, 1489, 3269, 2737, 1,
    1, 7, 3, 15, 39, 75, 229, 213, 23, 1825, 2269, 6739, 1, 1, 3, 7,
    1, 5, 73, 173, 305, 681, 1225, 2475, 6981, 1, 1, 5, 3, 21, 3, 27,
    241, 475, 543, 1065, 2731, 1739, 1, 3, 7, 13, 19, 35, 57, 19, 307, 113,
    451, 1897, 2135, 1, 1, 3, 11, 31, 13, 63, 15, 477, 389, 829, 2167, 3317,
    1, 1, 7, 11, 9, 39, 1, 41, 99, 295, 1009, 1411, 3423, 1, 1, 5,
    9, 15, 17, 93, 171, 361, 51, 455, 2413, 7295, 1, 1, 5, 13, 7, 27,
    127, 153, 163, 635, 1065, 2243, 3813, 1, 1, 7, 9, 15, 45, 7, 241, 365,
    447, 1435, 3473, 715, 1, 1, 5, 9, 9, 11, 21, 21, 255, 717, 1579, 217,
    6921, 1, 1, 5, 15, 25, 21, 31, 47, 455, 631, 971, 3105, 2219, 1, 3,
    1, 7, 9, 1, 75, 85, 351, 555, 1379, 1361, 6163, 1, 3, 5, 7, 9,
    63, 19, 99, 335, 173, 1385, 3011, 5787, 1, 3, 5, 1, 23, 35, 79, 163,
    97, 213, 1281, 1739, 477, 1, 1, 5, 5, 9, 13, 41, 167, 349, 959, 925,
    1383, 883, 1, 3, 7, 7, 17, 23, 69, 241, 447, 31, 767, 2981, 253, 1,
    3, 7, 15, 31, 15, 3, 107, 225, 207, 429, 959, 2627, 1, 3, 3, 11,
    29, 25, 109, 41, 261, 585, 1049, 3013, 4361, 1, 1, 7, 11, 29, 63, 117,
    147, 149, 427, 1371, 2171, 7797, 1, 3, 5, 3, 13, 33, 103, 33, 227, 785,
    1277, 27, 6713, 1, 3, 1, 3, 19, 3, 121, 123, 313, 283, 1231, 3331, 7271,
    1, 1, 7, 3, 21, 57, 53, 9, 275, 661, 1665, 1557, 3813, 1, 3, 5,
    1, 19, 63, 69, 149, 373, 667, 975, 3483, 7605, 1, 3, 5, 3, 3, 53,
    37, 247, 293, 491, 657, 3123, 1165, 1, 1, 1, 13, 27, 41, 23, 185, 405,
    215, 455, 433, 7775, 1, 1, 3, 13, 23, 61, 63, 61, 195, 83, 33, 1903,
    269, 1, 1, 3, 7, 5, 7, 1, 161, 295, 539, 1371, 3911, 4095, 1, 1,
    7, 9, 7, 7, 63, 115, 323, 95, 1965, 137, 7147, 1, 3, 7, 11, 19,
    55, 107, 71, 169, 937, 939, 113, 6187, 1, 1, 3, 7, 13, 17, 55, 5,
    167, 337, 2043, 1485, 5069, 1, 1, 7, 9, 21, 3, 107, 125, 253, 363, 49,
    469, 2873, 1, 1, 7, 9, 9, 31, 91, 65, 315, 973, 653, 1023, 6479, 1,
    3, 5, 11, 1, 5, 19, 109, 143, 335, 1035, 3893, 4573, 1, 3, 3, 13,
    27, 53, 37, 177, 407, 315, 1943, 3111, 1385, 1, 3, 5, 15, 27, 47, 57,
    105, 131, 31, 551, 3733, 5157, 1, 3, 5, 9, 15, 31, 41, 11, 93, 895,
    587, 421, 885, 1, 3, 7, 1, 5, 35, 107, 189, 287, 457, 645, 519, 7459,
    1, 1, 7, 5, 23, 7, 79, 45, 73, 711, 575, 3571, 1453, 1, 1, 3,
    9, 9, 7, 89, 197, 215, 111, 1099, 3915, 3709, 1, 3, 1, 7, 25, 1,
    83, 55, 449, 227, 1563, 1103, 4129, 1, 1, 1, 9, 23, 25, 103, 183, 379,
    541, 673, 2711, 7409, 1, 3, 1, 11, 27, 21, 83, 61, 65, 867, 1755, 3815,
    7235, 1, 1, 3, 15, 15, 55, 13, 185, 145, 955, 785, 189, 6653, 1, 3,
    5, 15, 5, 19, 83, 157, 429, 57, 1293, 1551, 581, 1, 3, 3, 11, 25,
    19, 117, 73, 503, 1015, 203, 2689, 6697, 1, 1, 7, 1, 27, 31, 111, 193,
    403, 267, 233, 3031, 5451, 1, 3, 7, 5, 9, 7, 73, 221, 27, 483, 185,
    1805, 1813, 1, 3, 3, 5, 19, 27, 103, 197, 245, 191, 301, 531, 3677, 1,
    1, 5, 1, 9, 49, 5, 55, 81, 907, 313, 3379, 2573, 1, 3, 5, 3,
    13, 11, 75, 145, 143, 991, 201, 3769, 5041, 1, 3, 1, 5, 15, 45, 89,
    17, 209, 91, 1635, 3025, 3885, 1, 3, 3, 5, 15, 37, 79, 163, 455, 477,
    69, 3617, 1263, 1, 1, 3, 11, 15, 47, 77, 73, 199, 493, 207, 2109, 4991,
    1, 1, 5, 15, 29, 23, 35, 177, 483, 151, 1497, 631, 1647, 1, 3, 7,
    5, 29, 45, 127, 199, 491, 965, 371, 3549, 2757, 1, 1, 7, 5, 21, 11,
    27, 217, 407, 493, 1979, 359, 6187, 1, 3, 5, 7, 31, 61, 113, 197, 109,
    781, 1859, 991, 3617, 1, 3, 1, 5, 17, 43, 75, 169, 413, 257, 1751, 4047,
    1951, 1, 3, 1, 13, 17, 49, 95, 223, 439, 587, 427, 89, 7723, 1, 3,
    5, 1, 7, 53, 1, 79, 111, 721, 169, 4087, 5255, 1, 1, 7, 15, 31,
    7, 111, 163, 491, 559, 259, 3057, 5669, 1, 3, 3, 9, 25, 41, 45, 101,
    145, 769, 1313, 3101, 405, 1, 3, 3, 11, 3, 39, 67, 201, 171, 79, 1727,
    2331, 8161, 1, 3, 5, 5, 31, 29, 13, 111, 449, 579, 1133, 1321, 2447, 1,
    3, 3, 15, 21, 39, 57, 203, 39, 733, 1773, 2867, 6751, 1, 3, 5, 3,
    19, 33, 73, 219, 159, 901, 919, 1445, 1387, 1, 3, 1, 7, 9, 33, 113,
    221, 315, 503, 1795, 577, 1605, 1, 1, 7, 11, 31, 47, 51, 53, 159, 731,
    1101, 1895, 2061, 1, 3, 5, 7, 29, 11, 107, 39, 89, 357, 13, 805, 5527,
    1, 3, 1, 9, 13, 15, 59, 95, 467, 875, 217, 3345, 1579, 1, 3, 1,
    15, 29, 33, 11, 121, 243, 429, 1017, 1511, 6289, 1, 3, 7, 1, 27, 41,
    125, 121, 265, 695, 155, 3933, 661, 1, 1, 3, 7, 5, 3, 95, 213, 385,
    183, 1693, 2685, 5647, 1, 1, 5, 5, 23, 29, 21, 193, 327, 965, 49, 2157,
    1539, 1, 3, 1, 7, 15, 15, 103, 191, 249, 347, 283, 2459, 5957, 1, 1,
    7, 5, 21, 43, 29, 205, 125, 63, 1645, 3357, 3333, 1, 3, 1, 5, 11,
    21, 109, 213, 123, 587, 2047, 343, 6669, 1, 1, 5, 5, 25, 63, 75, 237,
    421, 883, 801, 2403, 4723, 1, 3, 5, 11, 13, 63, 87, 107, 411, 3, 139,
    3097, 6109, 1, 3, 7, 9, 19, 31, 33, 23, 499, 105, 471, 2311, 439, 1,
    3, 3, 13, 13, 39, 19, 253, 53, 315, 1381, 3875, 5741, 1, 1, 1, 7,
    19, 9, 47, 169, 265, 1005, 159, 2957, 2987, 1, 3, 3, 3, 1, 35, 107,
    77, 47, 89, 1901, 1719, 2873, 1, 1, 5, 7, 7, 51, 87, 91, 45, 991,
    1369, 3759, 3511, 1, 3, 7, 15, 17, 51, 93, 43, 71, 213, 1637, 2617, 1767,
    1, 1, 5, 15, 29, 63, 81, 15, 409, 779, 1419, 497, 463, 1, 1, 7,
    1, 1, 31, 21, 167, 445, 893, 1687, 603, 3211, 1, 3, 7, 15, 19, 3,
    41, 53, 175, 971, 1873, 43, 4795, 1, 3, 5, 15, 21, 59, 77, 67, 495,
    547, 411, 2373, 5187, 1, 1, 5, 1, 27, 45, 119, 201, 237, 499, 261, 3331,
    3973, 1, 3, 5, 9, 17, 31, 33, 15, 237, 135, 1751, 297, 6331, 1, 3,
    7, 9, 15, 1, 11, 135, 355, 617, 805, 1201, 457, 1, 1, 7, 5, 19,
    55, 21, 121, 205, 999, 1719, 2815, 6753, 1, 1, 5, 3, 9, 5, 7, 231,
    323, 953, 1811, 2847, 2059, 1, 3, 3, 9, 17, 15, 85, 3, 259, 989, 287,
    3995, 2677, 1, 1, 3, 11, 13, 61, 69, 143, 167, 187, 481, 2359, 1913, 1,
    1, 5, 13, 29, 3, 29, 247, 407, 733, 677, 99, 1625, 1, 1, 7, 13,
    7, 17, 67, 115, 299, 765, 1885, 2769, 1619, 1, 1, 3, 3, 17, 7, 27,
    61, 433, 323, 1091, 1309, 7239, 1, 1, 7, 3, 19, 63, 41, 157, 43, 743,
    675, 2149, 6729, 1, 1, 5, 1, 21, 35, 45, 145, 235, 185, 1563, 1117, 3669,
    1, 3, 1, 9, 9, 37, 105, 61, 259, 935, 793, 823, 1765, 1, 3, 3,
    11, 25, 41, 35, 11, 389, 399, 339, 859, 4299, 1, 3, 5, 13, 7, 29,
    53, 91, 185, 163, 1689, 983, 4545, 1, 3, 7, 11, 19, 35, 45, 141, 445,
    469, 1827, 3523, 377, 1, 3, 5, 13, 27, 29, 35, 199, 73, 163, 1591, 1021,
    2867, 1, 1, 1, 15, 7, 61, 95, 95, 147, 959, 971, 649, 5047, 1, 1,
    1, 15, 11, 23, 49, 231, 359, 677, 1401, 2889, 3799, 1, 3, 7, 11, 11,
    15, 119, 103, 403, 983, 399, 321, 437, 1, 3, 7, 1, 29, 13, 83, 55,
    175, 835, 1637, 209, 1923, 1, 1, 5, 13, 25, 37, 5, 239, 227, 229, 243,
    1837, 4821, 1, 1, 7, 9, 9, 59, 29, 135, 227, 473, 1759, 3711, 4113, 1,
    3, 3, 3, 15, 3, 53, 225, 165, 375, 537, 331, 5085, 1, 1, 1, 5,
    15, 41, 57, 165, 45, 137, 931, 1015, 6451, 1, 3, 5, 7, 5, 47, 35,
    249, 89, 111, 1275, 529, 3297, 1, 3, 1, 1, 27, 21, 65, 193, 381, 861,
    59, 1457, 2447, 1, 1, 7, 15, 17, 25, 75, 171, 263, 401, 1369, 2609, 6265,
    1, 1, 3, 7, 17, 61, 75, 77, 487, 7, 1565, 527, 7213, 1, 3, 5,
    9, 5, 45, 47, 27, 163, 43, 219, 2119, 1793, 1, 1, 3, 3, 27, 9,
    89, 151, 487, 925, 1257, 1065, 3413, 1, 1, 5, 3, 11, 27, 9, 161, 303,
    457, 1367, 2319, 6145, 1, 3, 1, 13, 23, 43, 115, 227, 319, 469, 1651, 1693,
    2095, 1, 1, 1, 11, 23, 5, 91, 103, 393, 787, 1557, 925, 7189, 1, 3,
    5, 7, 31, 5, 51, 171, 375, 309, 199, 1833, 2741, 1, 1, 5, 13, 27,
    59, 15, 255, 205, 807, 1407, 161, 6955, 1, 3, 5, 5, 5, 35, 7, 167,
    265, 67, 1133, 699, 6225, 1, 1, 1, 7, 19, 31, 5, 243, 279, 505, 303,
    2303, 5367, 1, 3, 1, 3, 19, 47, 105, 159, 309, 783, 1845, 2603, 4663, 1,
    1, 7, 13, 13, 35, 101, 123, 99, 559, 1681, 2751, 1965, 1, 3, 7, 5,
    1, 63, 29, 245, 105, 469, 939, 721, 6213, 1, 3, 7, 15, 11, 45, 13,
    121, 81, 15, 1503, 2203, 7467, 1, 1, 7, 11, 29, 25, 59, 93, 5, 551,
    1799, 2251, 115, 1, 1, 1, 7, 17, 37, 81, 117, 183, 301, 1085, 3925, 697,
    1, 3, 7, 7, 13, 13, 5, 207, 443, 723, 897, 3481, 3377, 1, 3, 7,
    13, 9, 41, 25, 161, 283, 3, 1515, 2445, 2179, 1, 1, 1, 1, 29, 17,
    73, 129, 499, 457, 103, 2287, 525, 1, 3, 7, 11, 9, 13, 95, 31, 411,
    185, 931, 119, 711, 1, 1, 3, 13, 19, 53, 49, 209, 217, 593, 733, 4057,
    2853, 1, 3, 5, 1, 7, 63, 95, 45, 209, 641, 1767, 3001, 4089, 1, 1,
    5, 9, 9, 25, 69, 85, 345, 475, 613, 3975, 2179, 1, 1, 1, 9, 19,
    9, 47, 51, 111, 7, 627, 1635, 3857, 1, 3, 7, 1, 25, 37, 27, 253,
    111, 369, 235, 2887, 5649, 1, 1, 7, 3, 15, 5, 13, 181, 471, 825, 121,
    3007, 777, 1, 1, 1, 9, 27, 41, 59, 9, 391, 779, 915, 3965, 4431, 1,
    3, 1, 1, 25, 27, 75, 123, 385, 923, 141, 3771, 2227, 1, 3, 3, 15,
    17, 29, 85, 253, 261, 517, 87, 621, 7947, 1, 3, 7, 5, 13, 15, 83,
    49, 399, 875, 845, 1731, 7071, 1, 1, 3, 5, 21, 49, 93, 121, 271, 921,
    183, 1533, 1609, 1, 3, 7, 7, 9, 51, 89, 135, 389, 151, 1813, 3673, 2099,
    1, 1, 1, 11, 25, 63, 127, 239, 329, 455, 403, 363, 2689, 1, 3, 5,
    13, 1, 45, 65, 93, 371, 577, 669, 2433, 3507, 1, 3, 5, 9, 9, 15,
    13, 85, 67, 809, 1133, 129, 3869, 1, 3, 7, 15, 3, 47, 31, 79, 395,
    227, 677, 3399, 8173, 1, 3, 1, 11, 7, 19, 81, 27, 393, 49, 299, 879,
    5401, 1, 1, 1, 1, 3, 25, 105, 67, 147, 23, 749, 2677, 2799, 1, 1,
    3, 15, 3, 49, 55, 131, 249, 183, 399, 4065, 4575, 1, 3, 7, 13, 21,
    1, 105, 167, 379, 567, 1843, 3019, 7479, 1, 1, 7, 3, 7, 15, 65, 213,
    191, 735, 1087, 1223, 7827, 1, 1, 3, 3, 13, 35, 79, 55, 169, 513, 639,
    1153, 1129, 1, 3, 5, 15, 1, 37, 49, 209, 355, 533, 1073, 3249, 4309, 1,
    1, 3, 15, 23, 45, 69, 195, 155, 267, 291, 1773, 3575, 1, 3, 1, 13,
    25, 3, 51, 175, 505, 467, 1909, 1929, 4909, 1, 3, 3, 1, 31, 51, 99,
    119, 505, 57, 1987, 1303, 4273, 1, 3, 7, 9, 19, 49, 61, 147, 29, 1001,
    633, 963, 5601, 1, 3, 5, 7, 1, 13, 101, 133, 31, 263, 2033, 575, 983,
    1, 1, 1, 15, 21, 29, 101, 143, 263, 601, 1239, 1187, 3045, 1, 3, 3,
    15, 5, 49, 7, 165, 411, 517, 619, 1517, 1839, 1, 3, 5, 15, 29, 45,
    71, 245, 67, 469, 1793, 3353, 7799, 1, 1, 5, 7, 15, 49, 5, 183, 345,
    585, 1877, 2205, 7963, 1, 3, 1, 1, 7, 39, 85, 183, 131, 527, 1731, 1899,
    3813, 1, 1, 7, 9, 29, 23, 77, 233, 77, 699, 1963, 171, 6557, 1, 3,
    5, 15, 5, 3, 79, 199, 279, 279, 399, 769, 1661, 1, 3, 7, 1, 17,
    61, 61, 227, 289, 541, 379, 3155, 5791, 1, 3, 3, 7, 31, 37, 73, 215,
    47, 895, 1511, 305, 5247, 1, 1, 7, 5, 31, 47, 123, 191, 175, 875, 501,
    2203, 1781, 1, 3, 3, 3, 13, 5, 43, 145, 183, 705, 1143, 3113, 1959, 1,
    3, 7, 1, 23, 53, 93, 133, 13, 987, 1711, 2241, 7721, 1, 3, 1, 7,
    3, 19, 123, 65, 421, 891, 159, 1633, 733, 1, 3, 3, 3, 23, 59, 127,
    109, 315, 939, 1177, 1237, 1805, 1, 3, 5, 15, 13, 19, 39, 97, 437, 949,
    539, 1171, 151, 1, 3, 5, 9, 13, 45, 107, 159, 363, 727, 509, 3051, 4071,
    1, 3, 3, 1, 15, 11, 93, 199, 137, 947, 479, 2127, 1377, 1, 3, 7,
    15, 13, 5, 67, 227, 69, 795, 299, 1845, 4765, 1, 1, 5, 7, 31, 15,
    11, 255, 361, 599, 1235, 1785, 1611, 1, 3, 5, 15, 29, 21, 85, 49, 101,
    785, 1071, 1333, 1691, 1, 3, 1, 1, 19, 11, 23, 157, 201, 67, 789, 999,
    4281, 1, 1, 7, 3, 7, 61, 109, 253, 455, 863, 81, 3185, 7105, 1, 1,
    1, 1, 11, 29, 51, 43, 211, 103, 1333, 3425, 6669, 1, 3, 3, 3, 19,
    15, 25, 21, 9, 563, 1737, 159, 1827, 1, 3, 5, 11, 9, 35, 19, 145,
    159, 345, 475, 1453, 7807, 1, 3, 7, 9, 19, 41, 61, 63, 77, 3, 997,
    223, 5493, 1, 3, 7, 15, 25, 17, 87, 99, 441, 973, 713, 631, 4039, 1,
    3, 5, 15, 17, 19, 89, 11, 321, 143, 11, 915, 3359, 1, 3, 7, 1,
    11, 55, 43, 3, 1, 893, 1845, 1237, 693, 1, 3, 7, 13, 25, 21, 93,
    43, 127, 197, 1349, 1727, 1133, 1, 3, 7, 15, 29, 57, 19, 35, 37, 81,
    1599, 3469, 4327, 1, 1, 7, 9, 15, 47, 119, 203, 301, 835, 1221, 2771, 2023,
    1, 3, 5, 9, 25, 43, 109, 51, 431, 189, 255, 2595, 2447, 1, 1, 5,
    5, 13, 3, 113, 109, 321, 837, 159, 2617, 2277, 1, 1, 1, 11, 29, 43,
    33, 173, 47, 395, 1113, 1711, 7909, 1, 1, 3, 15, 31, 45, 37, 95, 13,
    449, 1377, 2117, 6607, 11053, 1, 1, 1, 9, 21, 7, 127, 71, 11, 271, 65,
    3681, 4209, 3183, 1, 3, 3, 15, 19, 27, 99, 243, 371, 77, 629, 3989, 3105,
    6287, 1, 3, 1, 15, 7, 35, 115, 237, 403, 273, 697, 117, 6887, 3243, 1,
    1, 5, 9, 29, 1, 117, 101, 483, 909, 867, 2051, 7081, 14905, 1, 1, 7,
    13, 21, 49, 107, 101, 121, 979, 309, 1871, 7339, 4213, 1, 1, 7, 13, 9,
    25, 13, 61, 409, 469, 411, 2041, 7685, 15501, 1, 1, 7, 5, 1, 29, 109,
    125, 63, 829, 175, 957, 4781, 12473, 1, 3, 3, 1, 11, 53, 17, 171, 393,
    165, 51, 737, 1697, 4137, 1, 3, 7, 9, 15, 45, 49, 219, 105, 121, 549,
    991, 1337, 11311, 1, 3, 3, 5, 27, 9, 39, 207, 85, 185, 901, 3077, 5295,
    3933, 1, 1, 5, 7, 23, 29, 95, 63, 125, 447, 573, 2053, 4621, 10135, 1,
    1, 1, 7, 23, 45, 3, 109, 335, 339, 1453, 3121, 37, 9155, 1, 3, 1,
    13, 9, 25, 27, 67, 35, 573, 215, 1969, 7083, 15729, 1, 3, 1, 9, 21,
    3, 21, 143, 131, 613, 299, 1127, 5647, 15007, 1, 3, 7, 9, 29, 47, 53,
    223, 409, 633, 535, 2423, 5763, 11633, 1, 3, 1, 9, 1, 21, 5, 1, 359,
    547, 285, 779, 2091, 11785, 1, 3, 7, 7, 1, 31, 61, 245, 331, 45, 1559,
    3223, 7577, 2157, 1, 1, 1, 7, 3, 27, 37, 191, 229, 205, 1535, 887, 701,
    10867, 1, 3, 3, 15, 21, 53, 61, 177, 485, 575, 681, 1447, 1427, 11279, 1,
    1, 1, 3, 17, 3, 5, 49, 311, 507, 995, 3971, 471, 3045, 1, 1, 3,
    9, 7, 45, 73, 183, 419, 635, 523, 1793, 7549, 9727, 1, 1, 7, 3, 19,
    33, 109, 91, 19, 825, 1629, 2111, 2673, 6677, 1, 1, 3, 9, 31, 13, 71,
    199, 113, 77, 371, 3117, 7799, 15919, 1, 1, 7, 5, 27, 41, 91, 183, 75,
    159, 911, 2081, 7065, 16313, 1, 3, 1, 15, 17, 29, 65, 9, 399, 259, 671,
    525, 1393, 13367, 1, 3, 3, 13, 1, 29, 101, 187, 231, 413, 1245, 269, 201,
    1673, 1, 1, 7, 3, 27, 47, 11, 149, 49, 309, 1923, 1187, 3165, 7927, 1,
    1, 1, 5, 31, 57, 29, 203, 11, 305, 1771, 2997, 377, 5777, 1, 1, 7,
    5, 1, 29, 29, 205, 93, 821, 1583, 2991, 4137, 14967, 1, 1, 3, 3, 7,
    57, 13, 179, 261, 547, 219, 1979, 4951, 2529, 1, 3, 1, 5, 3, 51, 89,
    7, 121, 611, 1655, 3639, 1991, 9911, 1, 3, 3, 15, 1, 21, 9, 173, 93,
    579, 1685, 767, 5183, 3965, 1, 1, 3, 7, 15, 47, 55, 113, 27, 941, 1633,
    3791, 1705, 16293, 1, 3, 3, 1, 7, 41, 11, 229, 367, 997, 543, 933, 4249,
    7049, 1, 1, 1, 13, 7, 7, 25, 87, 213, 277, 627, 721, 6161, 14877, 1,
    3, 5, 7, 25, 61, 47, 103, 199, 983, 543, 1935, 4663, 3597, 1, 3, 1,
    15, 15, 49, 125, 27, 153, 521, 351, 1129, 5897, 11325, 1, 3, 1, 13, 13,
    35, 81, 53, 217, 739, 963, 3441, 6843, 3505, 1, 3, 7, 1, 17, 35, 119,
    187, 475, 919, 1325, 3269, 677, 617, 1, 1, 7, 15, 7, 15, 91, 99, 259,
    37, 1461, 1145, 6973, 15643, 1, 1, 5, 15, 13, 11, 27, 75, 9, 611, 1331,
    2057, 863, 6245, 1, 1, 1, 15, 3, 25, 117, 45, 141, 839, 1201, 629, 6289,
    12231, 1, 1, 3, 13, 17, 61, 23, 243, 349, 153, 1747, 3107, 7763, 10067, 1,
    1, 1, 1, 21, 25, 53, 67, 97, 851, 1921, 2247, 5769, 5779, 1, 3, 3,
    3, 9, 37, 93, 247, 287, 609, 1643, 427, 4269, 15923, 1, 3, 3, 15, 7,
    35, 111, 105, 357, 539, 319, 993, 6155, 6587, 1, 1, 3, 1, 13, 33, 99,
    73, 89, 231, 1537, 309, 3837, 6669, 1, 3, 1, 1, 9, 25, 105, 197, 399,
    259, 1381, 1631, 3551, 4593, 1, 3, 1, 3, 7, 63, 113, 65, 109, 529, 1451,
    1169, 3321, 6811, 1, 1, 1, 5, 11, 55, 109, 27, 65, 199, 199, 2745, 2009,
    14853, 1, 3, 1, 9, 13, 31, 109, 119, 431, 363, 1191, 703, 2617, 6817, 1,
    1, 3, 11, 27, 1, 107, 11, 457, 495, 215, 1459, 4137, 13007, 1, 1, 7,
    3, 7, 29, 11, 19, 159, 821, 1881, 3277, 1303, 7145, 1, 3, 3, 11, 25,
    11, 125, 241, 197, 863, 423, 2107, 5885, 14279, 1, 3, 3, 1, 7, 29, 97,
    249, 333, 945, 1081, 2405, 109, 2869, 1, 3, 3, 3, 27, 57, 89, 243, 481,
    431, 269, 3371, 3667, 13293, 1, 3, 7, 7, 23, 3, 91, 57, 79, 165, 629,
    2771, 7927, 2689, 1, 1, 1, 11, 17, 51, 81, 147, 19, 501, 861, 159, 2117,
    6777, 1, 3, 3, 15, 7, 9, 51, 197, 97, 983, 133, 1819, 4449, 7821, 1,
    3, 3, 7, 21, 55, 61, 171, 461, 741, 1901, 2195, 5477, 1681, 1, 1, 3,
    1, 13, 37, 73, 151, 479, 561, 1483, 2679, 295, 7325, 1, 3, 3, 9, 11,
    17, 127, 115, 371, 979, 1391, 2189, 2805, 7471, 1, 1, 3, 13, 31, 25, 65,
    249, 91, 649, 1103, 493, 6341, 10313, 1, 1, 1, 3, 7, 31, 85, 201, 277,
    771, 1007, 69, 3357, 15059, 1, 1, 1, 7, 17, 17, 9, 229, 269, 591, 945,
    3003, 6723, 16101, 1, 1, 3, 5, 1, 29, 119, 181, 269, 269, 1781, 2935, 6265,
    13989, 1, 3, 1, 11, 13, 51, 117, 141, 467, 521, 449, 797, 3447, 11693, 1,
    1, 5, 15, 3, 57, 61, 209, 423, 213, 1663, 3735, 5229, 11809, 1, 3, 7,
    9, 13, 51, 113, 127, 229, 793, 905, 3271, 7501, 10801, 1, 3, 7, 7, 5,
    19, 43, 87, 9, 981, 221, 3925, 2095, 7185, 1, 1, 7, 15, 23, 35, 113,
    175, 383, 699, 1617, 3771, 5847, 9097, 1, 3, 1, 7, 25, 23, 27, 77, 491,
    211, 1785, 199, 4865, 10147, 1, 3, 1, 11, 25, 39, 15, 15, 191, 889, 457,
    2647, 4555, 4799, 1, 1, 7, 5, 15, 1, 117, 169, 245, 917, 1025, 3805, 1455,
    3051, 1, 3, 7, 5, 7, 15, 43, 13, 359, 685, 75, 271, 555, 3595, 1,
    3, 7, 5, 19, 9, 29, 15, 139, 13, 753, 205, 677, 5945, 1, 3, 1,
    9, 5, 21, 99, 77, 287, 663, 589, 229, 5255, 4177, 1, 1, 1, 9, 15,
    47, 21, 149, 461, 871, 577, 3393, 6879, 6353, 1, 3, 3, 3, 21, 33, 29,
    25, 195, 1, 1817, 3437, 4265, 16121, 1, 3, 1, 7, 27, 31, 93, 141, 471,
    735, 1737, 2997, 3529, 12285, 1, 1, 3, 15, 15, 49, 105, 157, 165, 593, 651,
    3331, 4333, 8607, 1, 3, 7, 1, 5, 35, 73, 53, 461, 41, 1407, 357, 3537,
    1123, 1, 1, 7, 9, 15, 39, 83, 23, 501, 3, 743, 3819, 5491, 15317, 1,
    1, 7, 15, 31, 29, 125, 173, 465, 347, 1515, 2871, 3861, 9353, 1, 1, 7,
    5, 9, 31, 121, 221, 491, 579, 313, 3549, 711, 12501, 1, 1, 7, 15, 7,
    47, 15, 175, 201, 399, 609, 749, 3587, 10091, 1, 1, 5, 11, 1, 39, 43,
    69, 429, 87, 2017, 1961, 5679, 3179, 1, 1, 3, 3, 29, 51, 27, 13, 377,
    99, 1291, 247, 2657, 4793, 1, 1, 1, 1, 23, 63, 119, 33, 405, 689, 517,
    1331, 1047, 403, 1, 1, 1, 5, 9, 27, 121, 49, 317, 181, 623, 1789, 5867,
    11009, 1, 1, 7, 15, 15, 63, 113, 129, 299, 889, 361, 2339, 3893, 3953, 1,
    1, 1, 15, 9, 51, 73, 77, 511, 745, 639, 1261, 439, 13409, 1, 3, 5,
    3, 29, 15, 37, 31, 47, 901, 1383, 1979, 7341, 13411, 1, 3, 7, 5, 31,
    59, 87, 35, 123, 943, 1181, 3877, 4821, 9231, 1, 3, 5, 13, 3, 47, 123,
    89, 41, 883, 241, 2055, 1723, 6747, 1, 1, 7, 5, 21, 29, 89, 101, 423,
    279, 29, 2089, 6233, 7343, 1, 1, 7, 5, 29, 25, 23, 179, 13, 707, 1603,
    585, 4159, 10767, 1, 1, 1, 1, 15, 11, 55, 159, 279, 613, 1445, 613, 499,
    7095, 1, 1, 1, 5, 15, 61, 75, 171, 173, 765, 1763, 2193, 7897, 4559, 1,
    1, 1, 9, 9, 57, 127, 113, 7, 269, 791, 619, 2923, 6309, 1, 1, 3,
    13, 21, 9, 99, 1, 263, 69, 1879, 4079, 33, 7313, 1, 1, 7, 9, 17,
    1, 69, 93, 147, 461, 1777, 3375, 4067, 15307, 1, 3, 7, 11, 11, 7, 77,
    159, 125, 159, 625, 1339, 2301, 11525, 1, 1, 7, 9, 1, 5, 23, 115, 25,
    755, 1523, 2767, 7667, 7129, 1, 1, 5, 5, 23, 31, 41, 3, 249, 69, 1821,
    155, 585, 7905, 1, 3, 7, 11, 21, 35, 7, 161, 409, 771, 967, 2429, 1,
    5391, 1, 1, 1, 9, 9, 3, 13, 125, 87, 115, 1013, 2103, 4769, 7389, 1,
    3, 3, 7, 27, 25, 85, 119, 115, 775, 189, 3577, 5369, 5213, 1, 3, 7,
    3, 27, 49, 81, 23, 223, 523, 1939, 431, 6247, 10509, 1, 3, 3, 3, 31,
    7, 119, 235, 315, 431, 1669, 1223, 5785, 6507, 1, 1, 5, 9, 27, 23, 35,
    141, 327, 395, 869, 177, 3997, 11191, 1, 1, 7, 9, 21, 15, 35, 163, 273,
    93, 835, 3339, 6109, 2617, 1, 3, 5, 9, 1, 29, 107, 161, 301, 27, 1391,
    211, 5263, 10899, 1, 3, 7, 7, 13, 61, 91, 179, 227, 193, 1909, 3759, 5875,
    6799, 1, 3, 1, 9, 17, 23, 57, 117, 201, 459, 1841, 2371, 2641, 13927, 1,
    3, 7, 11, 1, 1, 13, 139, 313, 1, 1551, 2693, 2785, 6959, 1, 3, 3,
    13, 1, 29, 117, 67, 147, 821, 1935, 2913, 7911, 4829, 1, 1, 7, 7, 19,
    17, 57, 33, 93, 819, 1035, 3493, 1831, 5345, 1, 3, 5, 13, 9, 13, 117,
    219, 415, 743, 381, 2343, 3865, 3915, 1, 1, 5, 15, 3, 25, 67, 197, 59,
    419, 461, 1951, 4657, 9263, 1, 1, 7, 15, 31, 53, 33, 213, 169, 231, 615,
    441, 7055, 16079, 1, 1, 1, 15, 5, 27, 57, 79, 373, 713, 583, 3773, 4239,
    14231, 1, 1, 7, 15, 21, 55, 119, 219, 371, 321, 185, 1103, 7783, 8705, 1,
    3, 5, 15, 3, 11, 69, 127, 27, 223, 867, 2249, 597, 10051, 1, 3, 5,
    7, 5, 13, 99, 115, 21, 659, 1287, 1941, 6505, 1091, 1, 1, 7, 1, 17,
    57, 57, 155, 373, 729, 1521, 3741, 4935, 13867, 1, 1, 7, 1, 19, 21, 39,
    47, 451, 67, 463, 1849, 5311, 5831, 1, 3, 7, 7, 29, 11, 59, 161, 29,
    107, 1413, 3915, 6863, 5095, 1, 1, 7, 15, 13, 37, 29, 91, 83, 663, 1629,
    3005, 655, 7601, 1, 1, 3, 3, 31, 47, 29, 31, 509, 319, 929, 1481, 6255,
    14003, 1, 3, 3, 3, 5, 7, 97, 253, 163, 801, 283, 813, 6277, 3201, 1,
    3, 3, 15, 5, 59, 49, 47, 259, 837, 2003, 1489, 3425, 6863, 1, 3, 5,
    13, 25, 55, 37, 139, 347, 95, 259, 3175, 1043, 1395, 1, 3, 7, 5, 31,
    37, 73, 7, 1, 883, 1641, 1941, 6885, 23, 1, 1, 3, 9, 13, 45, 85,
    67, 55, 11, 1717, 3461, 3189, 15989, 1, 1, 1, 13, 27, 15, 93, 39, 329,
    43, 175, 2253, 1193, 13257, 1, 3, 3, 1, 25, 41, 111, 211, 99, 267, 965,
    1311, 2661, 1981, 1, 3, 7, 15, 31, 15, 37, 73, 239, 505, 983, 3299, 2891,
    8247, 1, 1, 5, 3, 19, 5, 45, 55, 251, 125, 977, 955, 1169, 8495, 1,
    3, 1, 3, 19, 31, 121, 119, 185, 43, 847, 3939, 2511, 10889, 1, 3, 1,
    7, 7, 17, 81, 37, 425, 663, 1715, 789, 661, 9089, 1, 3, 3, 11, 1,
    3, 17, 247, 311, 369, 211, 97, 6355, 16297, 1, 3, 7, 13, 21, 53, 33,
    71, 73, 629, 1321, 3181, 6627, 161, 1, 1, 3, 5, 21, 25, 21, 231, 291,
    585, 111, 1651, 1031, 13705, 1, 3, 3, 9, 5, 31, 59, 51, 245, 465, 37,
    3425, 4251, 1121, 1, 3, 7, 11, 31, 45, 125, 245, 335, 973, 49, 1557, 4847,
    10739, 1, 1, 1, 3, 21, 39, 127, 67, 101, 9, 1099, 1159, 2483, 4283, 1,
    1, 7, 13, 29, 53, 49, 65, 5, 775, 433, 351, 493, 7233, 1, 3, 5,
    5, 27, 13, 73, 83, 417, 31, 1891, 1809, 1103, 4555, 1, 1, 5, 9, 15,
    1, 25, 63, 191, 251, 1759, 429, 2477, 12577, 1, 1, 3, 5, 3, 21, 61,
    245, 191, 217, 845, 2121, 2133, 6045, 1, 3, 3, 5, 23, 33, 85, 15, 57,
    645, 1109, 3411, 2895, 6885, 1, 3, 3, 11, 13, 41, 13, 59, 45, 199, 1145,
    2637, 6741, 1273, 1, 3, 3, 5, 27, 33, 121, 21, 75, 687, 349, 2097, 1195,
    4227, 1, 1, 7, 9, 25, 51, 71, 85, 281, 825, 1335, 277, 797, 407, 1,
    3, 3, 15, 21, 31, 19, 11, 39, 821, 1623, 97, 1573, 13297, 1, 1, 3,
    1, 25, 39, 67, 113, 109, 719, 1427, 2539, 5885, 13537, 1, 1, 5, 3, 15,
    53, 11, 139, 393, 365, 709, 1603, 4929, 2651, 1, 3, 7, 5, 3, 11, 19,
    41, 123, 7, 993, 3627, 2027, 4009, 1, 1, 3, 7, 3, 17, 63, 129, 323,
    303, 1669, 1023, 1259, 289, 1, 3, 7, 15, 15, 33, 69, 229, 291, 939, 969,
    2497, 4323, 16299, 1, 3, 5, 5, 17, 35, 79, 33, 471, 857, 975, 297, 7219,
    12903, 1, 1, 7, 7, 21, 5, 65, 53, 11, 265, 1447, 1405, 3351, 2661, 1,
    3, 3, 3, 1, 21, 123, 123, 361, 71, 1233, 2673, 7643, 9519, 1, 1, 5,
    7, 27, 41, 117, 239, 125, 183, 1375, 649, 5267, 1735, 1, 1, 1, 11, 7,
    33, 59, 7, 37, 705, 1055, 1661, 6213, 2083, 1, 3, 1, 9, 11, 61, 91,
    143, 113, 229, 809, 431, 1971, 12453, 1, 1, 3, 9, 17, 23, 97, 249, 109,
    669, 1643, 3305, 6141, 1793, 1, 1, 5, 13, 3, 39, 37, 107, 123, 637, 869,
    1969, 4195, 9431, 1, 1, 7, 13, 7, 25, 97, 63, 395, 1011, 161, 827, 4001,
    15159, 1, 1, 3, 7, 11, 59, 11, 49, 25, 691, 73, 1171, 2937, 13877, 1,
    3, 7, 15, 1, 19, 119, 129, 63, 451, 1593, 1207, 67, 3621, 1, 1, 1,
    1, 25, 27, 45, 23, 111, 191, 1205, 4079, 1821, 5571, 1, 1, 7, 5, 17,
    37, 37, 249, 81, 909, 153, 209, 7919, 10763, 1, 3, 5, 5, 19, 9, 101,
    193, 431, 63, 1309, 2693, 2413, 14513, 1, 3, 5, 7, 13, 5, 5, 203, 313,
    723, 1637, 2725, 4197, 3767, 1, 3, 3, 11, 1, 53, 33, 245, 181, 1001, 1057,
    2701, 5861, 4199, 1, 1, 5, 3, 31, 35, 19, 253, 403, 429, 1667, 1671, 7491,
    1023, 1, 3, 5, 7, 15, 51, 41, 253, 247, 883, 1887, 1067, 3227, 13259, 1,
    3, 7, 15, 5, 63, 9, 97, 87, 11, 1873, 2529, 833, 5583, 1, 1, 5,
    7, 17, 59, 23, 225, 91, 189, 923, 3177, 599, 4315, 1, 3, 3, 11, 15,
    59, 85, 75, 281, 935, 1219, 3121, 231, 13839, 1, 1, 5, 9, 15, 61, 105,
    27, 179, 145, 827, 2985, 6907, 14961, 1, 1, 1, 1, 1, 63, 7, 3, 449,
    387, 483, 603, 6607, 13241, 1, 1, 7, 1, 9, 37, 73, 255, 331, 797, 679,
    579, 3015, 2517, 1, 1, 3, 5, 23, 15, 97, 159, 9, 469, 881, 1935, 1871,
    7943, 1, 1, 7, 15, 31, 33, 103, 247, 7, 217, 397, 3761, 3071, 15357, 1,
    3, 3, 9, 23, 25, 61, 61, 495, 195, 1615, 923, 6583, 11169, 1, 1, 3,
    9, 25, 7, 67, 105, 423, 519, 327, 2789, 7527, 13465, 1, 1, 3, 11, 29,
    57, 21, 47, 71, 771, 1255, 1469, 737, 11533, 1, 1, 5, 11, 23, 31, 103,
    145, 19, 931, 963, 2627, 1419, 14451, 1, 3, 7, 1, 15, 45, 37, 57, 223,
    151, 979, 2569, 2487, 2877, 1, 1, 3, 7, 13, 39, 83, 127, 341, 687, 1575,
    3193, 2845, 725, 1, 1, 1, 5, 23, 39, 71, 205, 53, 477, 1961, 3967, 7169,
    5443, 1, 1, 5, 5, 23, 17, 107, 151, 291, 101, 1917, 3429, 6279, 1781, 1,
    3, 3, 11, 23, 45, 11, 137, 243, 257, 495, 3267, 1373, 15477, 1, 1, 7,
    5, 23, 13, 37, 139, 473, 215, 1281, 989, 2187, 1551, 1, 1, 7, 7, 5,
    21, 113, 195, 247, 493, 513, 1775, 1885, 5131, 1, 1, 7, 15, 29, 31, 9,
    59, 329, 11, 1739, 1657, 1745, 8969, 1, 1, 3, 7, 19, 29, 121, 171, 33,
    393, 1463, 1817, 393, 2509, 1, 1, 5, 11, 23, 55, 103, 169, 313, 293, 1791,
    2727, 2311, 14519, 1, 3, 7, 11, 13, 21, 95, 205, 87, 431, 667, 367, 6879,
    9843, 1, 3, 1, 3, 3, 53, 75, 43, 115, 561, 795, 613, 4491, 913, 1,
    1, 5, 5, 25, 37, 71, 13, 499, 105, 9, 3759, 4997, 14747, 1, 3, 3,
    13, 25, 63, 27, 163, 359, 431, 5, 3371, 6051, 1099, 1, 1, 3, 7, 5,
    45, 19, 217, 423, 171, 933, 3441, 7451, 11831, 1, 3, 7, 7, 7, 53, 81,
    67, 465, 713, 1761, 3945, 3051, 8139, 1, 1, 5, 7, 23, 55, 85, 205, 265,
    99, 353, 4061, 3385, 4273, 1, 3, 7, 7, 9, 19, 7, 81, 9, 373, 837,
    1397, 3945, 14325, 1, 1, 5, 7, 7, 47, 61, 195, 101, 931, 1667, 3277, 7701,
    14697, 1, 3, 7, 7, 11, 57, 43, 55, 399, 783, 1647, 269, 6055, 9935, 1,
    1, 5, 3, 5, 57, 87, 193, 15, 515, 1663, 495, 4725, 7221, 1, 1, 5,
    3, 23, 23, 87, 231, 133, 123, 1477, 1811, 7383, 16339, 1, 3, 5, 13, 31,
    57, 105, 237, 375, 129, 193, 1293, 2445, 13383, 1, 3, 7, 13, 19, 51, 91,
    27, 309, 421, 647, 3777, 6779, 2807, 1, 3, 5, 15, 5, 43, 125, 37, 269,
    155, 1733, 447, 7883, 6085, 1, 3, 7, 7, 27, 63, 91, 7, 117, 369, 1019,
    847, 6747, 5057, 1, 3, 5, 3, 31, 19, 87, 125, 259, 355, 161, 1421, 2295,
    9683, 1, 3, 3, 13, 25, 37, 63, 169, 477, 633, 231, 2039, 3469, 2531, 1,
    3, 1, 1, 25, 1, 81, 211, 237, 233, 1743, 961, 645, 2605, 1, 3, 1,
    11, 3, 25, 3, 111, 123, 417, 1799, 1419, 2501, 5765, 1, 1, 3, 15, 11,
    17, 27, 95, 295, 315, 987, 481, 6627, 16171, 1, 3, 5, 15, 15, 61, 123,
    5, 369, 161, 897, 855, 625, 9975, 1, 1, 5, 3, 9, 45, 59, 53, 43,
    117, 789, 21, 7799, 11061, 1, 1, 3, 7, 3, 17, 113, 159, 115, 965, 1541,
    1037, 4723, 10151, 1, 3, 1, 9, 7, 15, 19, 161, 123, 421, 109, 433, 7387,
    6047, 1, 3, 1, 13, 19, 49, 31, 215, 25, 289, 1995, 1135, 3719, 8453, 1,
    3, 3, 9, 3, 33, 15, 191, 83, 963, 199, 2199, 3273, 16165, 1, 3, 3,
    11, 17, 63, 71, 49, 427, 633, 735, 2009, 5049, 13649, 1, 1, 3, 7, 25,
    41, 79, 161, 293, 967, 969, 3253, 269, 6971, 1, 1, 5, 7, 25, 9, 43,
    237, 283, 135, 669, 2193, 4193, 4787, 1, 3, 3, 7, 5, 19, 83, 89, 443,
    443, 1511, 2309, 5483, 7583, 1, 3, 3, 15, 21, 29, 113, 127, 405, 465, 1135,
    2401, 7715, 13061, 1, 3, 7, 7, 23, 19, 17, 59, 483, 519, 1439, 3839, 1691,
    5, 1, 1, 1, 13, 23, 43, 115, 103, 155, 769, 455, 17, 7791, 3333, 1,
    1, 7, 9, 3, 25, 31, 7, 125, 357, 759, 1203, 2107, 5361, 1, 1, 5,
    11, 27, 31, 23, 73, 77, 449, 661, 2337, 941, 9421, 1, 1, 7, 15, 27,
    17, 35, 15, 405, 317, 1977, 2449, 237, 7741, 1, 1, 7, 3, 1, 15, 63,
    251, 61, 123, 855, 773, 4291, 15581, 1, 1, 5, 9, 15, 49, 101, 215, 239,
    31, 1193, 3839, 1913, 15471, 1, 3, 3, 5, 29, 1, 109, 211, 97, 1017, 1477,
    2131, 6539, 4891, 1, 1, 3, 11, 15, 63, 67, 175, 209, 105, 1427, 769, 7021,
    287, 1, 3, 3, 7, 19, 41, 109, 165, 307, 935, 379, 395, 2533, 6291, 1,
    3, 5, 13, 17, 3, 69, 79, 437, 861, 1115, 1351, 4951, 1753, 1, 3, 1,
    7, 19, 15, 83, 85, 431, 207, 481, 711, 6715, 13439, 1, 1, 1, 5, 3,
    13, 127, 27, 223, 297, 985, 227, 6665, 13587, 1, 3, 7, 7, 7, 61, 113,
    73, 443, 397, 717, 1151, 3047, 3247, 1, 1, 1, 9, 1, 1, 103, 239, 351,
    305, 1345, 3543, 4321, 9147, 1, 1, 3, 1, 11, 53, 57, 85, 95, 707, 1817,
    249, 357, 11769, 1, 3, 1, 15, 15, 25, 7, 169, 499, 717, 915, 365, 3131,
    12487, 1, 1, 3, 11, 15, 47, 109, 9, 171, 67, 1473, 1779, 5567, 3799, 1,
    3, 5, 15, 23, 21, 31, 59, 1, 505, 1157, 1209, 7661, 11903, 1, 3, 1,
    13, 11, 5, 75, 53, 481, 433, 915, 2881, 5299, 2835, 1, 3, 7, 5, 23,
    13, 127, 229, 157, 643, 847, 3613, 1999, 3807, 1, 3, 5, 11, 13, 39, 79,
    11, 131, 603, 1013, 1197, 7583, 8195, 1, 3, 3, 7, 27, 29, 99, 19, 503,
    455, 1453, 2233, 2479, 8489, 1, 3, 5, 1, 21, 37, 27, 207, 405, 87, 319,
    3323, 4809, 12599, 1, 3, 7, 15, 29, 3, 121, 249, 31, 601, 865, 2819, 2633,
    15541, 1, 3, 5, 1, 25, 53, 121, 57, 75, 327, 2047, 253, 7945, 14209, 1,
    1, 7, 11, 21, 3, 13, 91, 417, 825, 1381, 3653, 4187, 4685, 1, 3, 3,
    9, 11, 17, 87, 75, 333, 871, 1679, 2943, 4803, 8147, 1, 1, 1, 9, 13,
    1, 105, 95, 347, 543, 1435, 2337, 5971, 7605, 1, 3, 5, 15, 19, 51, 35,
    91, 187, 833, 1921, 573, 3605, 8627, 1, 3, 5, 7, 25, 7, 115, 93, 87,
    13, 1323, 3821, 587, 5079, 1, 3, 5, 3, 25, 25, 89, 185, 473, 909, 1245,
    1589, 63, 10765, 1, 3, 5, 5, 15, 3, 9, 149, 237, 107, 879, 2487, 7995,
    12713, 1, 3, 3, 3, 19, 55, 43, 221, 289, 129, 1123, 3411, 703, 9585, 1,
    1, 5, 3, 7, 63, 13, 243, 235, 253, 357, 563, 519, 3471, 1, 1, 3,
    13, 9, 59, 67, 61, 321, 149, 365, 2645, 2309, 3303, 1, 1, 5, 5, 13,
    7, 53, 175, 207, 507, 1159, 3869, 8139, 13899, 1, 3, 5, 3, 23, 9, 123,
    37, 325, 41, 679, 513, 4379, 3493, 1, 1, 7, 3, 29, 9, 117, 203, 461,
    831, 1757, 2815, 1215, 1725, 1, 1, 7, 7, 23, 45, 75, 159, 395, 315, 709,
    887, 6935, 2307, 1, 1, 7, 7, 5, 51, 29, 141, 215, 783, 1161, 3887, 8103,
    7461, 1, 1, 7, 3, 21, 5, 59, 123, 283, 921, 225, 453, 2125, 559, 1,
    3, 7, 13, 21, 19, 121, 201, 367, 215, 1727, 1743, 4875, 2819, 1, 3, 3,
    13, 15, 53, 57, 35, 419, 595, 1581, 2881, 3473, 7201, 1, 3, 5, 5, 19,
    17, 113, 175, 195, 829, 115, 491, 6439, 4085, 1, 1, 5, 9, 7, 9, 111,
    23, 459, 335, 1529, 1519, 2855, 11923, 1, 3, 7, 9, 13, 41, 19, 229, 73,
    865, 1379, 1315, 1403, 10489, 1, 1, 1, 7, 17, 35, 71, 199, 195, 89, 855,
    355, 5087, 13173, 1, 3, 5, 7, 3, 45, 77, 109, 105, 919, 21, 2749, 5401,
    11701, 1, 3, 1, 15, 5, 9, 29, 213, 489, 455, 791, 215, 1011, 2501, 1,
    3, 1, 9, 17, 7, 61, 99, 381, 669, 1787, 1443, 6135, 3273, 1, 3, 1,
    3, 27, 47, 31, 153, 365, 271, 1499, 1229, 5791, 2251, 1, 1, 1, 3, 9,
    31, 109, 53, 293, 135, 1329, 2795, 4335, 14817, 1, 3, 1, 15, 19, 7, 43,
    223, 483, 237, 803, 1713, 7969, 9681, 1, 1, 7, 1, 23, 45, 67, 87, 57,
    261, 955, 2917, 549, 4725, 1, 1, 1, 7, 13, 43, 63, 153, 395, 313, 1219,
    655, 6489, 2129, 1, 3, 3, 3, 7, 51, 35, 233, 289, 715, 1227, 2041, 3639,
    1465, 1, 3, 1, 7, 3, 37, 97, 149, 51, 313, 1883, 1411, 3319, 2599, 1,
    1, 7, 13, 25, 13, 89, 245, 251, 841, 1367, 4039, 4389, 7129, 1, 3, 5,
    15, 3, 55, 113, 97, 159, 621, 251, 2539, 7017, 1039, 1, 3, 3, 9, 27,
    31, 53, 61, 165, 753, 1733, 671, 665, 4893, 1, 1, 7, 5, 25, 11, 7,
    189, 457, 5, 97, 2399, 3089, 4811, 1, 1, 3, 13, 29, 19, 73, 105, 187,
    871, 499, 443, 6807, 3753, 1, 3, 1, 5, 9, 15, 53, 83, 91, 763, 1585,
    1675, 5137, 10483, 1, 1, 7, 5, 25, 51, 43, 47, 151, 13, 1117, 1465, 2497,
    7677, 1, 1, 1, 3, 15, 15, 43, 53, 161, 689, 2027, 437, 3599, 6837, 1,
    3, 3, 9, 21, 5, 81, 99, 249, 785, 763, 1203, 1541, 6497, 1, 1, 5,
    7, 27, 7, 121, 91, 271, 461, 1531, 3255, 847, 14503, 1, 1, 3, 15, 9,
    53, 125, 107, 321, 579, 813, 2295, 2521, 6773, 1, 3, 3, 1, 15, 55, 71,
    61, 307, 917, 217, 1133, 7255, 16083, 1, 3, 1, 1, 3, 7, 57, 27, 243,
    989, 223, 3857, 2357, 11315, 1, 3, 5, 5, 23, 41, 55, 75, 241, 829, 1865,
    909, 4509, 5163, 1, 1, 1, 13, 27, 5, 117, 79, 171, 135, 623, 2515, 3661,
    941, 1, 3, 5, 13, 17, 29, 9, 147, 73, 321, 895, 3263, 6897, 8551, 1,
    1, 5, 11, 21, 45, 57, 153, 83, 971, 403, 617, 545, 6489, 1, 1, 5,
    9, 31, 37, 19, 241, 89, 583, 1365, 2649, 7011, 6183, 1, 3, 5, 9, 3,
    5, 45, 237, 351, 811, 445, 557, 4103, 11185, 1, 3, 3, 13, 25, 23, 21,
    249, 209, 775, 1397, 2501, 4535, 4957, 1, 1, 1, 13, 7, 43, 55, 179, 239,
    43, 225, 2827, 955, 665, 1, 1, 3, 5, 15, 35, 77, 153, 429, 35, 539,
    3543, 1971, 2865, 1, 3, 7, 3, 27, 35, 87, 51, 281, 247, 547, 2185, 2593,
    1301, 1, 3, 5, 11, 19, 11, 79, 241, 467, 515, 531, 3285, 1575, 7869, 1,
    3, 1, 13, 25, 15, 109, 231, 349, 955, 2019, 3475, 2927, 14383, 1, 1, 7,
    1, 17, 43, 43, 131, 485, 179, 901, 483, 4879, 15189, 1, 1, 5, 11, 7,
    39, 111, 27, 29, 79, 261, 77, 231, 8577, 1, 3, 1, 11, 25, 15, 25,
    41, 457, 677, 1033, 161, 3215, 105, 1, 3, 1, 15, 3, 57, 125, 41, 325,
    467, 1325, 1287, 51, 9463, 1, 1, 1, 9, 1, 33, 39, 47, 313, 305, 2023,
    1131, 4167, 4519, 1, 1, 5, 15, 1, 47, 123, 151, 263, 143, 91, 1673, 4175,
    4575, 1, 1, 7, 3, 7, 41, 95, 27, 183, 437, 587, 3821, 8035, 7627, 1,
    1, 3, 5, 17, 53, 95, 73, 335, 497, 643, 3309, 7139, 10811, 1, 3, 1,
    13, 7, 29, 83, 15, 29, 881, 881, 1253, 7267, 4221, 1, 3, 7, 13, 15,
    47, 71, 63, 493, 365, 1209, 2503, 3963, 5069, 1, 1, 5, 5, 23, 55, 107,
    255, 17, 561, 1131, 497, 5731, 13287, 1, 3, 5, 11, 5, 59, 25, 131, 375,
    165, 1051, 3129, 6517, 6317, 1, 3, 5, 9, 17, 29, 57, 215, 77, 197, 1775,
    3959, 185, 11431, 1, 1, 1, 11, 11, 45, 29, 245, 193, 747, 1449, 2185, 7751,
    10009, 1, 1, 1, 5, 27, 19, 39, 161, 355, 455, 1625, 1283, 1547, 8707, 1,
    1, 1, 11, 7, 15, 35, 193, 489, 619, 515, 199, 5439, 15711, 1, 1, 7,
    1, 29, 21, 69, 13, 343, 581, 495, 3963, 911, 3995, 1, 1, 1, 7, 21,
    5, 9, 31, 291, 825, 7, 2621, 1149, 2709, 1, 3, 3, 13, 7, 35, 69,
    43, 397, 641, 89, 3325, 5567, 3487, 1, 3, 5, 5, 1, 17, 11, 97, 309,
    371, 145, 3255, 5161, 7787, 1, 3, 7, 7, 27, 1, 1, 235, 47, 251, 1525,
    2661, 3971, 11319, 1, 3, 5, 3, 11, 21, 69, 97, 13, 931, 1955, 3497, 3963,
    519, 1, 1, 5, 9, 21, 15, 11, 201, 175, 855, 1867, 3941, 6505, 3451, 1,
    1, 7, 13, 25, 45, 27, 91, 149, 827, 1791, 139, 6721, 9, 1, 3, 3,
    7, 19, 13, 95, 161, 91, 333, 203, 3195, 517, 3911, 1, 1, 5, 1, 3,
    7, 113, 195, 501, 203, 193, 3585, 3217, 2009, 1, 1, 5, 13, 21, 29, 9,
    209, 381, 245, 1317, 3577, 3327, 9253, 1, 3, 3, 15, 1, 5, 75, 215, 349,
    143, 1607, 2817, 8185, 13991, 1, 3, 3, 11, 23, 29, 73, 15, 159, 425, 1169,
    2989, 5835, 12687, 1, 1, 1, 11, 13, 13, 79, 97, 351, 455, 1465, 2013, 5133,
    1747, 1, 3, 3, 13, 3, 29, 53, 37, 357, 55, 195, 43, 3903, 7013, 1,
    3, 5, 13, 25, 43, 19, 233, 17, 31, 1727, 557, 2581, 847, 1, 1, 7,
    5, 21, 27, 7, 27, 487, 961, 1095, 3813, 7967, 15283, 1, 3, 7, 7, 27,
    49, 15, 199, 413, 295, 441, 2023, 2453, 2243, 1, 3, 7, 9, 19, 13, 99,
    85, 227, 61, 933, 3897, 2399, 455, 1, 3, 1, 15, 13, 45, 123, 13, 39,
    431, 1573, 2771, 2273, 12613, 1, 1, 3, 13, 1, 29, 127, 59, 159, 1005, 483,
    3031, 5029, 1763, 1, 1, 7, 9, 17, 27, 87, 25, 313, 305, 1611, 693, 3701,
    573, 1, 3, 7, 13, 5, 61, 93, 69, 357, 681, 291, 1251, 3889, 3687, 1,
    1, 3, 15, 9, 31, 121, 213, 115, 231, 349, 2141, 4443, 12319, 1, 1, 1,
    5, 1, 37, 59, 21, 399, 751, 841, 33, 7195, 8403, 1, 3, 3, 13, 5,
    41, 111, 21, 135, 945, 1915, 2351, 6429, 10993, 1, 1, 1, 1, 29, 43, 45,
    13, 395, 407, 47, 1007, 7525, 6707, 1, 3, 5, 15, 23, 3, 49, 149, 391,
    689, 147, 1173, 3793, 4249, 1, 3, 1, 13, 25, 35, 109, 147, 323, 161, 257,
    2023, 5693, 16199, 1, 3, 3, 9, 17, 3, 9, 191, 19, 405, 1841, 1669, 4691,
    11907, 1, 1, 3, 5, 13, 35, 45, 27, 127, 329, 931, 1, 2521, 15307, 1,
    1, 5, 3, 11, 25, 31, 233, 1, 769, 433, 3785, 3631, 8573, 1, 1, 3,
    1, 23, 57, 67, 227, 393, 469, 1579, 2235, 493, 2477, 1, 3, 7, 3, 9,
    19, 69, 123, 205, 553, 1871, 3807, 1563, 2771, 1, 3, 3, 11, 11, 33, 55,
    27, 51, 903, 1681, 2613, 2519, 9529, 1, 1, 7, 11, 29, 55, 31, 185, 85,
    929, 233, 2619, 2989, 191, 1, 1, 1, 3, 1, 47, 47, 225, 387, 717, 815,
    853, 819, 5645, 1, 1, 5, 3, 1, 55, 89, 59, 39, 687, 1395, 535, 4977,
    8155, 1, 3, 7, 1, 11, 57, 107, 137, 407, 155, 313, 2205, 3095, 15179, 1,
    1, 7, 13, 29, 5, 121, 173, 21, 247, 1663, 1937, 5113, 7439, 1, 3, 1,
    7, 1, 39, 31, 129, 109, 447, 1269, 3133, 4933, 11893, 1, 3, 3, 15, 9,
    7, 21, 157, 397, 465, 1057, 2355, 4663, 13955, 1, 1, 7, 3, 1, 35, 71,
    175, 439, 1019, 1479, 2519, 5119, 15245, 1, 1, 7, 3, 23, 49, 55, 91, 269,
    407, 393, 1495, 6153, 15703, 1, 1, 3, 7, 25, 3, 45, 87, 141, 693, 555,
    3629, 2723, 4357, 1, 3, 3, 7, 15, 27, 103, 161, 423, 785, 1171, 2335, 1845,
    14373, 1, 3, 5, 5, 1, 31, 117, 35, 181, 263, 1337, 3239, 617, 11499, 1,
    1, 1, 9, 15, 17, 103, 201, 79, 211, 2043, 3733, 7593, 6523, 1, 3, 5,
    5, 3, 59, 11, 163, 155, 215, 1621, 2615, 2915, 2459, 1, 3, 7, 11, 11,
    11, 93, 239, 367, 553, 1341, 129, 7651, 2841, 1, 3, 7, 7, 7, 21, 45,
    99, 63, 601, 1877, 765, 5831, 1825, 1, 1, 7, 3, 21, 27, 71, 53, 185,
    675, 891, 657, 5343, 3583, 1, 3, 5, 9, 17, 57, 95, 57, 427, 329, 681,
    2663, 3183, 7429, 1, 3, 7, 3, 17, 9, 93, 105, 409, 975, 205, 429, 4473,
    10269, 1, 3, 1, 1, 11, 51, 25, 97, 333, 71, 1513, 1273, 1235, 5023, 1,
    1, 7, 9, 17, 59, 75, 51, 277, 377, 3, 3357, 2595, 7939, 1, 3, 3,
    1, 7, 47, 11, 241, 235, 761, 283, 3277, 2121, 69, 1, 3, 1, 3, 5,
    5, 57, 5, 99, 869, 707, 2379, 5439, 4981, 1, 3, 7, 9, 5, 9, 115,
    155, 191, 905, 1173, 975, 6825, 8257, 1, 1, 3, 13, 17, 13, 63, 143, 305,
    577, 1895, 1943, 2335, 8957, 1, 3, 7, 3, 15, 19, 89, 91, 497, 145, 1419,
    1449, 5305, 1379, 1, 3, 1, 13, 9, 51, 103, 169, 265, 347, 697, 3735, 6987,
    2565, 1, 3, 3, 5, 1, 19, 83, 211, 247, 81, 131, 2243, 7563, 14221, 1,
    3, 3, 11, 27, 1, 97, 85, 265, 423, 173, 1873, 3889, 1845, 1, 1, 1,
    11, 15, 25, 25, 155, 111, 327, 1089, 335, 7635, 6467, 1, 3, 5, 7, 15,
    33, 103, 231, 455, 681, 547, 3389, 4279, 6037, 1, 3, 3, 7, 3, 11, 11,
    165, 113, 499, 977, 3805, 2733, 15643, 1, 1, 3, 7, 23, 49, 39, 165, 323,
    313, 1731, 2977, 4795, 12387, 1, 1, 5, 15, 27, 15, 43, 149, 71, 19, 1025,
    2585, 5975, 12473, 1, 3, 7, 15, 15, 21, 33, 29, 351, 909, 813, 3901, 3235,
    3719, 1, 3, 3, 1, 29, 63, 55, 173, 405, 841, 871, 213, 4747, 11611, 1,
    1, 1, 7, 15, 11, 83, 21, 123, 929, 1137, 3843, 5919, 151, 1, 1, 3,
    1, 29, 53, 111, 133, 285, 499, 2011, 121, 2853, 7587, 1, 3, 7, 1, 15,
    33, 87, 139, 429, 97, 375, 1273, 2745, 12045, 1, 1, 5, 13, 17, 55, 43,
    3, 465, 1, 1065, 647, 2497, 14775, 1, 1, 5, 5, 15, 41, 39, 37, 397,
    621, 1735, 1009, 1289, 2375, 1, 3, 5, 11, 1, 45, 73, 207, 375, 825, 697,
    3765, 7181, 4953, 1, 3, 7, 7, 23, 15, 75, 11, 137, 1017, 203, 1325, 6661,
    8569, 1, 1, 1, 15, 23, 9, 15, 157, 179, 699, 1493, 2161, 3159, 2709, 1,
    3, 7, 3, 15, 51, 95, 101, 467, 303, 1867, 3819, 7593, 6133, 1, 3, 7,
    13, 25, 27, 87, 11, 113, 861, 1393, 1521, 2109, 11899, 1, 3, 5, 11, 25,
    53, 27, 249, 193, 783, 609, 3069, 3901, 391, 1, 3, 5, 11, 19, 13, 55,
    147, 325, 131, 659, 1277, 6127, 1033, 1, 3, 1, 7, 31, 13, 1, 141, 377,
    159, 1945, 2031, 8039, 13851, 1, 3, 5, 7, 27, 17, 79, 47, 421, 517, 751,
    3049, 6109, 11027, 1, 3, 3, 11, 23, 41, 89, 225, 367, 109, 1295, 2691, 4677,
    9207, 1, 1, 7, 7, 7, 27, 89, 221, 267, 537, 2003, 3357, 8113, 8173, 1,
    1, 7, 15, 19, 23, 21, 173, 159, 535, 1685, 2259, 6515, 15853, 1, 3, 3,
    15, 13, 21, 105, 173, 173, 13, 423, 2259, 4145, 6543, 1, 1, 3, 11, 13,
    41, 35, 239, 307, 893, 73, 1325, 7975, 8395, 1, 1, 7, 11, 11, 11, 115,
    195, 407, 543, 801, 1449, 8121, 9627, 1, 1, 1, 1, 13, 33, 41, 207, 347,
    49, 897, 557, 5917, 13163, 1, 1, 7, 13, 7, 9, 51, 241, 47, 479, 1399,
    3229, 5201, 537, 1, 3, 7, 3, 9, 63, 31, 109, 381, 631, 521, 139, 4229,
    1639, 1, 3, 3, 7, 1, 23, 15, 99, 395, 991, 627, 571, 833, 6631, 1,
    1, 7, 3, 31, 9, 99, 145, 237, 181, 1911, 2985, 2415, 5363, 1, 3, 5,
    3, 27, 1, 111, 133, 307, 211, 1119, 2289, 5333, 14747, 1, 3, 7, 5, 9,
    27, 5, 101, 113, 505, 931, 677, 6225, 16279, 1, 1, 5, 9, 19, 47, 57,
    3, 281, 207, 621, 939, 839, 4089, 1, 1, 5, 11, 25, 61, 117, 139, 5,
    325, 745, 3423, 31, 1451, 1, 3, 5, 5, 3, 9, 121, 185, 497, 203, 367,
    3049, 4827, 3363, 1, 3, 7, 5, 1, 45, 91, 199, 183, 577, 625, 3641, 963,
    9379, 1, 3, 5, 9, 5, 53, 17, 205, 331, 329, 669, 2403, 3027, 297, 1,
    3, 5, 9, 19, 31, 43, 249, 361, 923, 635, 3461, 3901, 439, 1, 3, 7,
    15, 21, 25, 115, 115, 457, 607, 699, 2649, 3003, 1599, 1, 1, 5, 15, 21,
    35, 61, 97, 131, 521, 1045, 2401, 2885, 11795, 1, 1, 1, 11, 19, 13, 119,
    117, 31, 575, 427, 3689, 3801, 12267, 1, 1, 3, 7, 27, 45, 15, 235, 281,
    777, 1181, 2445, 7947, 2081, 1, 1, 5, 3, 31, 57, 57, 219, 135, 717, 1369,
    2221, 4397, 16195, 1, 3, 5, 13, 11, 17, 7, 189, 97, 7, 397, 1557, 7181,
    16205, 1, 1, 7, 15, 13, 25, 79, 241, 143, 959, 529, 3899, 5411, 8769, 1,
    1, 7, 1, 3, 17, 109, 25, 389, 463, 1675, 627, 6383, 5007, 1, 3, 1,
    13, 19, 3, 13, 3, 293, 755, 1827, 755, 3325, 13447, 1, 1, 7, 15, 17,
    5, 87, 17, 423, 901, 777, 919, 2655, 1423, 1, 1, 3, 13, 19, 41, 89,
    9, 475, 479, 981, 1031, 7207, 3605, 1, 3, 5, 7, 9, 41, 111, 201, 389,
    139, 1853, 1773, 233, 3695, 1, 1, 3, 1, 3, 47, 83, 15, 49, 867, 1513,
    3203, 3081, 8429, 1, 1, 5, 11, 11, 33, 67, 225, 303, 825, 1711, 1521, 1569,
    5233, 1, 3, 3, 11, 27, 41, 37, 247, 211, 143, 855, 3755, 569, 10155, 1,
    1, 7, 3, 21, 57, 7, 83, 133, 791, 565, 2217, 7621, 14141, 1, 1, 5,
    13, 3, 57, 7, 29, 131, 935, 1555, 1103, 7395, 4079, 1, 1, 7, 3, 13,
    9, 13, 71, 345, 1003, 1519, 1757, 539, 9207, 1, 3, 1, 3, 1, 11, 13,
    143, 365, 981, 1691, 2501, 7155, 4189, 1, 3, 3, 1, 23, 37, 33, 229, 411,
    329, 915, 2373, 2525, 12319, 1, 1, 3, 3, 5, 45, 77, 23, 317, 311, 425,
    1329, 3619, 11941, 1, 3, 1, 1, 19, 17, 39, 37, 405, 275, 983, 995, 4925,
    1005, 1, 1, 1, 5, 31, 1, 71, 137, 481, 489, 1381, 3919, 7841, 14843, 1,
    1, 7, 15, 13, 37, 11, 201, 43, 311, 921, 2755, 2997, 4753, 1, 1, 3,
    7, 27, 35, 87, 203, 197, 27, 1839, 2847, 3261, 3139, 1, 1, 7, 1, 25,
    5, 9, 9, 497, 125, 1451, 1381, 1975, 10493, 1, 1, 1, 11, 11, 25, 3,
    9, 39, 989, 975, 1825, 7089, 10475, 1, 1, 5, 13, 25, 33, 69, 55, 179,
    163, 1233, 1601, 1893, 8225, 1, 1, 3, 15, 23, 11, 117, 71, 151, 437, 371,
    1543, 2417, 13195, 1, 3, 7, 9, 25, 33, 63, 215, 193, 415, 1771, 715, 4011,
    11739, 1, 3, 3, 13, 17, 1, 105, 169, 5, 259, 169, 1207, 5425, 6091, 1,
    1, 5, 11, 29, 43, 25, 245, 33, 995, 1797, 279, 6443, 14507, 1, 3, 7,
    7, 5, 29, 117, 141, 409, 367, 1223, 1499, 5651, 3337, 1, 1, 3, 9, 15,
    21, 21, 27, 23, 693, 1431, 2055, 2959, 1347, 1, 1, 1, 9, 7, 27, 67,
    127, 63, 213, 763, 1221, 2319, 5313, 1, 1, 3, 11, 21, 33, 43, 243, 113,
    223, 1095, 2433, 1253, 16303, 1, 1, 5, 15, 21, 61, 39, 147, 263, 943, 321,
    2599, 3513, 6595, 1, 1, 7, 3, 9, 25, 19, 73, 253, 889, 1699, 1709, 6451,
    2939, 1, 3, 3, 15, 29, 29, 53, 133, 349, 553, 1677, 3949, 1701, 1187, 1,
    3, 7, 9, 27, 5, 17, 15, 185, 583, 1117, 2869, 6929, 8117, 1, 1, 5,
    1, 3, 15, 117, 73, 321, 245, 537, 2689, 4883, 5993, 1, 3, 7, 15, 31,
    57, 103, 65, 89, 323, 1341, 1951, 4999, 12663, 1, 3, 5, 5, 7, 23, 77,
    133, 413, 157, 1281, 3779, 2081, 12201, 1, 3, 7, 13, 15, 49, 119, 45, 27,
    621, 2017, 1351, 7647, 8845, 1, 1, 7, 15, 7, 51, 77, 181, 25, 769, 1159,
    1505, 5219, 647, 1, 1, 3, 5, 3, 35, 69, 43, 327, 383, 755, 253, 1137,
    16133, 1, 1, 7, 9, 13, 63, 69, 215, 357, 873, 477, 1243, 5475, 5335, 1,
    3, 1, 9, 27, 13, 115, 197, 131, 651, 741, 2539, 265, 15757, 1, 1, 5,
    11, 13, 47, 45, 235, 103, 597, 523, 3129, 5113, 7031, 1, 1, 1, 13, 31,
    63, 25, 75, 343, 537, 83, 3165, 3247, 2589, 1, 3, 5, 5, 11, 13, 29,
    79, 233, 901, 627, 1691, 2659, 10251, 1, 3, 7, 1, 11, 63, 123, 63, 441,
    931, 573, 4083, 4483, 5685, 1, 3, 7, 1, 23, 51, 107, 113, 233, 921, 1761,
    207, 5083, 9165, 1, 3, 3, 15, 13, 23, 5, 151, 487, 157, 23, 3967, 6241,
    487, 1, 1, 7, 1, 7, 39, 95, 185, 379, 225, 1685, 513, 2463, 11033, 1,
    1, 5, 11, 19, 43, 55, 69, 433, 933, 811, 3717, 5555, 15391, 1, 1, 7,
    7, 21, 17, 19, 149, 185, 475, 1817, 913, 4463, 12837, 1, 1, 7, 5, 27,
    63, 5, 131, 217, 271, 889, 3905, 2881, 419, 1, 3, 7, 11, 5, 55, 103,
    135, 59, 775, 1105, 2017, 493, 12747, 1, 1, 3, 5, 9, 25, 65, 9, 61,
    709, 1925, 1769, 3273, 1627, 1, 3, 1, 11, 7, 35, 37, 223, 105, 55, 293,
    2103, 7531, 2795, 1, 3, 7, 13, 17, 23, 35, 163, 177, 797, 1539, 3843, 6761,
    11817, 1, 1, 3, 15, 11, 19, 55, 161, 33, 701, 601, 1055, 4949, 10741, 1,
    1, 7, 3, 11, 45, 71, 199, 233, 917, 1447, 3651, 6021, 4745, 1, 1, 3,
    11, 21, 17, 39, 141, 17, 827, 355, 3337, 6897, 9005, 1, 3, 3, 1, 11,
    61, 67, 103, 377, 351, 1863, 207, 7333, 4481, 1, 1, 1, 1, 7, 33, 103,
    121, 361, 233, 195, 985, 4743, 8715, 1, 3, 1, 9, 17, 47, 127, 129, 93,
    217, 1049, 689, 5595, 13625, 1, 1, 5, 11, 13, 33, 59, 29, 439, 447, 21,
    621, 3731, 9371, 1, 3, 1, 7, 15, 31, 41, 217, 275, 97, 143, 3779, 5453,
    13167, 1, 3, 7, 1, 11, 31, 7, 249, 193, 907, 1275, 691, 5701, 6215, 1,
    3, 5, 1, 11, 63, 7, 209, 227, 959, 1313, 1107, 2281, 5567, 1, 3, 7,
    9, 25, 5, 103, 193, 137, 345, 1953, 369, 2201, 9435, 1, 1, 3, 1, 5,
    19, 11, 191, 101, 861, 1665, 1439, 6889, 2467, 1, 1, 7, 5, 19, 47, 13,
    123, 363, 659, 1011, 2961, 2231, 11523, 1, 3, 1, 1, 9, 19, 7, 1, 351,
    461, 1323, 1125, 3063, 9589, 1, 1, 5, 11, 1, 25, 79, 171, 503, 319, 729,
    2133, 1979, 13769, 1, 3, 1, 3, 17, 45, 55, 109, 143, 541, 65, 431, 2949,
    11501, 1, 3, 7, 7, 7, 7, 85, 81, 317, 245, 1683, 1009, 3853, 12597, 1,
    1, 1, 7, 9, 25, 85, 19, 59, 5, 1919, 577, 7723, 9365, 1, 1, 7,
    11, 13, 27, 35, 163, 209, 491, 1759, 383, 5697, 13131, 1, 1, 7, 13, 19,
    57, 121, 61, 143, 735, 721, 3405, 6939, 4691, 1, 1, 7, 15, 21, 23, 55,
    203, 145, 673, 419, 3023, 6439, 6361, 1, 1, 5, 15, 5, 21, 11, 153, 223,
    229, 721, 715, 7981, 15459, 1, 3, 5, 7, 21, 59, 47, 15, 213, 549, 465,
    1353, 2611, 11989, 1, 3, 5, 7, 13, 51, 65, 11, 295, 63, 1887, 3347, 3061,
    2219, 1, 1, 5, 3, 29, 29, 83, 175, 507, 341, 2031, 3737, 1741, 7615, 1,
    3, 7, 13, 11, 55, 59, 213, 197, 851, 1723, 2805, 2461, 8071, 1, 1, 3,
    15, 5, 37, 55, 237, 319, 345, 1677, 1791, 5063, 4301, 1, 3, 1, 11, 25,
    13, 87, 85, 293, 97, 557, 3583, 7077, 6433, 1, 3, 3, 1, 31, 9, 63,
    29, 193, 351, 1071, 3587, 4695, 1771, 1, 3, 7, 11, 11, 3, 45, 119, 215,
    367, 677, 3405, 7177, 14607, 1, 3, 7, 3, 3, 23, 33, 33, 223, 209, 1033,
    3167, 4189, 2195, 1, 1, 5, 1, 3, 53, 21, 151, 475, 987, 1671, 393, 7783,
    2561, 1, 3, 7, 13, 15, 5, 21, 247, 225, 861, 1707, 3237, 5793, 14557, 1,
    3, 5, 9, 13, 3, 37, 49, 119, 33, 805, 681, 7591, 1707, 1, 1, 3,
    15, 27, 55, 99, 17, 361, 773, 1415, 3547, 5427, 4579, 1, 3, 5, 9, 17,
    55, 89, 111, 189, 719, 1691, 1565, 941, 15481, 1, 1, 1, 11, 17, 3, 77,
    57, 71, 739, 869, 165, 6411, 1565, 1, 3, 3, 11, 31, 47, 87, 105, 241,
    999, 245, 3695, 5151, 9087, 1, 3, 1, 15, 27, 59, 15, 45, 413, 291, 87,
    1735, 779, 5977, 1, 3, 7, 1, 9, 19, 7, 183, 133, 833, 1347, 3559, 7745,
    11071, 1, 1, 3, 13, 23, 59, 13, 227, 407, 661, 217, 299, 6033, 14519, 1,
    1, 5, 5, 27, 33, 105, 15, 141, 555, 397, 3287, 5859, 9553, 1, 3, 3,
    9, 27, 59, 11, 47, 379, 275, 889, 3069, 4135, 15735, 1, 1, 5, 13, 27,
    47, 107, 165, 487, 463, 425, 3949, 3213, 4161, 1, 3, 5, 7, 27, 55, 17,
    3, 159, 181, 393, 2441, 2531, 895, 1, 3, 7, 7, 31, 3, 95, 81, 181,
    367, 1689, 2351, 193, 7165, 1, 3, 7, 15, 1, 17, 103, 181, 29, 851, 15,
    1447, 435, 14059, 1, 1, 1, 15, 21, 31, 83, 41, 237, 437, 509, 3757, 5609,
    15859, 1, 1, 7, 15, 5, 35, 101, 37, 245, 487, 449, 2089, 27, 13667, 1,
    1, 7, 15, 29, 49, 89, 161, 271, 455, 1599, 3843, 1673, 3683, 1, 1, 7,
    1, 1, 25, 37, 211, 369, 207, 243, 2113, 2707, 7951, 1, 1, 7, 5, 19,
    21, 25, 161, 97, 505, 273, 1443, 4461, 1407, 1, 1, 5, 15, 17, 57, 115,
    175, 511, 389, 1333, 2459, 5561, 4409, 1, 1, 5, 9, 29, 45, 45, 121, 159,
    51, 865, 531, 1387, 3517, 1, 3, 5, 15, 25, 17, 59, 161, 193, 495, 611,
    1009, 5035, 15325, 1, 1, 1, 7, 7, 53, 99, 241, 305, 989, 175, 2841, 2891,
    4975, 1, 1, 7, 1, 31, 45, 85, 251, 339, 731, 513, 2557, 3119, 15961, 1,
    3, 7, 15, 11, 37, 73, 93, 83, 931, 1561, 791, 3263, 10789, 1, 3, 1,
    11, 27, 25, 29, 71, 199, 673, 173, 2267, 1277, 4373, 1, 1, 5, 5, 7,
    19, 79, 143, 63, 139, 977, 845, 5125, 5635, 1, 1, 3, 15, 3, 27, 117,
    219, 393, 457, 1001, 1235, 6409, 10883, 1, 1, 3, 3, 19, 31, 61, 225, 391,
    719, 1919, 1843, 4883, 10499, 1, 3, 1, 3, 13, 63, 73, 103, 15, 777, 1019,
    2677, 7317, 4349, 1, 3, 5, 15, 5, 7, 31, 33, 237, 1021, 2045, 2283, 7045,
    13829, 1, 1, 3, 13, 11, 43, 47, 239, 5, 293, 2015, 3613, 1551, 3203, 1,
    3, 1, 11, 11, 11, 67, 201, 287, 161, 193, 1815, 1493, 2863, 1, 3, 5,
    13, 11, 31, 119, 57, 305, 1009, 915, 2855, 3595, 11653, 1, 1, 1, 9, 17,
    7, 59, 27, 189, 227, 763, 2843, 7335, 13559, 1, 1, 5, 13, 3, 1, 17,
    129, 83, 763, 443, 895, 1573, 7343, 1, 3, 7, 3, 5, 43, 31, 95, 503,
    815, 1725, 2319, 2323, 12543, 1, 1, 1, 9, 29, 27, 103, 43, 39, 289, 277,
    453, 4297, 1009, 1, 1, 7, 5, 31, 61, 105, 79, 259, 141, 49, 925, 2793,
    13247, 1, 1, 1, 5, 15, 23, 59, 55, 497, 561, 343, 3633, 2097, 2035, 1,
    1, 3, 13, 17, 23, 13, 23, 15, 519, 105, 3719, 3639, 6387, 1, 1, 1,
    11, 1, 43, 97, 73, 295, 841, 1033, 11, 3027, 4073, 1, 3, 1, 3, 21,
    15, 67, 95, 425, 979, 1641, 3059, 4195, 14291, 1, 3, 5, 3, 9, 23, 83,
    203, 479, 999, 1469, 2227, 7995, 4053, 1, 1, 5, 7, 1, 13, 17, 191, 297,
    397, 329, 1551, 6885, 2413, 1, 1, 7, 13, 31, 21, 123, 59, 79, 647, 475,
    347, 667, 9871, 1, 1, 7, 15, 25, 43, 35, 117, 323, 805, 1543, 2631, 2919,
    1377, 1, 1, 3, 11, 17, 55, 45, 213, 507, 641, 1947, 2439, 4749, 6865, 1,
    3, 7, 5, 13, 31, 51, 31, 167, 431, 1999, 1041, 3613, 16289, 1, 3, 7,
    9, 1, 15, 19, 191, 181, 247, 11, 2305, 5451, 1719, 1, 3, 1, 11, 25,
    39, 13, 123, 93, 527, 1359, 1985, 6789, 2045, 1, 1, 1, 7, 25, 57, 113,
    91, 311, 661, 1461, 2801, 5281, 13423, 1, 1, 1, 11, 31, 9, 119, 55, 91,
    965, 1973, 2901, 1147, 9341, 1, 1, 7, 15, 9, 59, 83, 21, 49, 921, 749,
    1249, 3577, 14341, 1, 3, 5, 13, 25, 63, 65, 135, 337, 743, 1669, 2519, 341,
    16285, 1, 3, 3, 7, 23, 9, 97, 205, 87, 289, 1195, 2843, 7419, 4183, 1,
    3, 1, 9, 3, 33, 117, 243, 161, 977, 109, 3333, 4639, 2299, 1, 1, 3,
    7, 1, 53, 79, 73, 71, 953, 349, 2517, 6281, 2625, 1, 1, 5, 9, 21,
    59, 31, 253, 265, 403, 603, 2185, 7277, 6057, 1, 1, 1, 13, 27, 35, 63,
    109, 483, 205, 1245, 2599, 1697, 11381, 1, 1, 7, 15, 25, 29, 107, 205, 411,
    627, 745, 1585, 1175, 3077, 1, 3, 5, 3, 25, 15, 121, 97, 283, 809, 753,
    2577, 1099, 12155, 1, 1, 7, 15, 29, 21, 55, 53, 101, 69, 657, 2727, 931,
    4873, 1, 3, 7, 15, 5, 57, 9, 11, 269, 261, 1681, 1025, 4001, 16111, 1,
    1, 3, 7, 9, 51, 29, 77, 313, 199, 1305, 2665, 5971, 7525, 1, 1, 3,
    15, 3, 29, 99, 255, 331, 925, 1973, 3825, 3549, 8537, 1, 1, 3, 1, 27,
    33, 19, 225, 209, 895, 47, 4063, 1873, 15631, 1, 3, 1, 9, 11, 57, 121,
    205, 89, 565, 1387, 1119, 7375, 6153, 1, 1, 3, 15, 1, 27, 9, 177, 443,
    437, 1487, 2119, 5299, 16251, 1, 3, 7, 5, 17, 33, 79, 153, 327, 719, 1587,
    407, 1137, 9607, 1, 1, 3, 15, 7, 31, 109, 251, 501, 553, 785, 3047, 8141,
    6305, 1, 1, 3, 9, 11, 63, 65, 135, 257, 313, 191, 1073, 6821, 10629, 1,
    1, 7, 1, 19, 55, 7, 69, 503, 131, 1133, 3325, 347, 9255, 1, 3, 5,
    3, 11, 55, 115, 171, 261, 581, 1169, 3609, 307, 14055, 1, 3, 7, 15, 29,
    3, 33, 229, 431, 969, 281, 1617, 3685, 13583, 1, 1, 7, 11, 9, 23, 5,
    147, 305, 651, 1419, 3225, 7029, 15331, 1, 3, 7, 15, 23, 61, 111, 221, 145,
    809, 1127, 2287, 6023, 6103, 1, 3, 1, 7, 1, 49, 93, 251, 239, 617, 401,
    3419, 8123, 4855, 1, 3, 5, 5, 15, 9, 69, 5, 509, 83, 405, 3451, 4401,
    3321, 1, 1, 3, 9, 29, 39, 53, 155, 73, 207, 499, 3179, 6099, 1377, 1,
    1, 1, 11, 9, 43, 101, 211, 439, 865, 621, 3271, 4699, 5329, 1, 3, 5,
    9, 21, 59, 105, 89, 5, 493, 227, 1177, 6829, 8659, 1, 1, 1, 3, 27,
    19, 49, 209, 337, 961, 93, 81, 4607, 13579, 1, 3, 7, 1, 31, 53, 77,
    213, 3, 555, 1409, 3917, 23, 7837, 1, 3, 1, 1, 21, 37, 121, 17, 295,
    367, 1105, 3053, 1453, 8869, 1, 3, 5, 5, 31, 23, 13, 145, 459, 609, 77,
    197, 4457, 5145, 1, 1, 3, 7, 27, 23, 83, 165, 25, 491, 1487, 2335, 7019,
    499, 1, 1, 7, 15, 29, 53, 87, 47, 21, 233, 253, 2529, 1651, 16091, 1,
    3, 5, 11, 7, 55, 99, 193, 395, 63, 817, 2109, 1167, 5739, 1, 1, 7,
    15, 13, 21, 61, 31, 45, 723, 103, 1347, 4259, 13185, 1, 1, 5, 9, 7,
    51, 43, 21, 411, 887, 1303, 3389, 6653, 9265, 1, 1, 3, 7, 3, 7, 43,
    197, 151, 977, 717, 2293, 3135, 5223, 1, 1, 1, 1, 23, 49, 23, 105, 279,
    401, 1309, 3485, 4305, 13181, 1, 3, 1, 15, 23, 15, 89, 171, 237, 513, 369,
    3731, 4753, 4655, 1, 1, 7, 11, 3, 35, 49, 211, 353, 843, 705, 2237, 7843,
    9009, 1, 3, 3, 9, 29, 25, 63, 29, 369, 777, 477, 547, 6575, 13769, 1,
    1, 3, 1, 3, 5, 101, 107, 11, 817, 413, 3241, 6275, 4035, 1, 1, 1,
    3, 21, 17, 25, 113, 183, 159, 307, 447, 7881, 7399, 1, 1, 7, 15, 7,
    45, 39, 39, 111, 191, 151, 267, 7133, 5557, 1, 3, 7, 5, 27, 39, 29,
    59, 141, 835, 1307, 1007, 2101, 7675, 1, 3, 1, 11, 9, 15, 65, 47, 371,
    385, 683, 3495, 711, 3963, 1, 1, 7, 3, 5, 59, 81, 9, 23, 885, 291,
    2349, 5495, 12985, 1, 3, 5, 1, 21, 49, 99, 101, 447, 289, 659, 1061, 5771,
    7591, 1, 3, 5, 7, 5, 11, 13, 255, 7, 775, 1919, 1965, 7069, 10379, 1,
    1, 7, 15, 29, 23, 61, 183, 117, 817, 113, 1665, 2349, 305, 1, 3, 7,
    13, 25, 9, 97, 161, 361, 33, 1781, 3717, 6319, 13199, 1, 3, 5, 13, 21,
    63, 85, 225, 447, 169, 1601, 2359, 8087, 2609, 1, 1, 3, 9, 1, 11, 1,
    173, 345, 217, 1131, 493, 4613, 9223, 1, 3, 7, 3, 5, 51, 55, 235, 129,
    451, 1191, 2065, 6781, 9135, 1, 3, 7, 1, 27, 41, 123, 49, 495, 999, 1731,
    1597, 7471, 1129, 1, 1, 5, 3, 13, 3, 123, 83, 199, 325, 1521, 1023, 2703,
    10915, 1, 1, 3, 1, 15, 19, 45, 223, 17, 643, 661, 633, 6475, 10153, 1,
    1, 7, 9, 17, 21, 101, 137, 39, 975, 1003, 1419, 353, 11971, 1, 3, 5,
    3, 11, 37, 75, 87, 49, 535, 801, 1689, 8125, 12419, 1, 3, 3, 3, 19,
    11, 99, 97, 285, 641, 1485, 257, 5417, 8669, 1, 1, 1, 1, 21, 53, 19,
    61, 223, 917, 931, 1779, 5859, 3111, 1, 3, 1, 13, 25, 17, 55, 227, 61,
    953, 255, 3939, 2523, 2119, 1, 1, 7, 11, 23, 43, 111, 21, 263, 399, 723,
    1067, 3633, 4165, 1, 3, 7, 3, 31, 29, 69, 135, 105, 839, 1077, 1479, 643,
    1063, 1, 3, 1, 11, 23, 29, 51, 235, 287, 941, 393, 2241, 1601, 4629, 1,
    3, 3, 1, 1, 7, 47, 119, 369, 789, 1943, 3417, 4073, 7495, 1, 1, 7,
    7, 21, 37, 25, 217, 267, 275, 903, 865, 6251, 1323, 1, 3, 7, 15, 13,
    61, 77, 181, 479, 1003, 335, 2917, 1133, 14321, 1, 1, 7, 7, 9, 53, 47,
    197, 257, 823, 421, 2465, 4333, 3841, 1, 3, 3, 9, 23, 17, 83, 131, 427,
    25, 319, 517, 4109, 15841, 1, 1, 7, 7, 7, 25, 105, 63, 117, 173, 909,
    2731, 877, 1095, 1, 1, 3, 9, 29, 17, 125, 45, 269, 681, 1389, 283, 7217,
    15315, 1, 1, 7, 3, 3, 59, 29, 177, 191, 803, 809, 131, 857, 16213, 1,
    1, 1, 15, 15, 21, 41, 177, 245, 543, 761, 2423, 1381, 1125, 1, 3, 5,
    13, 31, 5, 121, 183, 477, 143, 559, 765, 703, 12255, 1, 1, 1, 15, 21,
    23, 127, 227, 331, 963, 333, 2101, 2215, 10107, 1, 3, 7, 3, 1, 47, 53,
    189, 331, 587, 1417, 731, 4317, 11629, 1, 3, 7, 13, 11, 21, 45, 109, 455,
    347, 1483, 2589, 6933, 8343, 1, 1, 1, 11, 5, 31, 45, 85, 253, 729, 111,
    3315, 3183, 12847, 1, 3, 1, 1, 25, 5, 3, 219, 263, 517, 247, 2303, 2709,
    11973, 1, 1, 5, 11, 21, 39, 115, 231, 5, 451, 1503, 1527, 4071, 5879, 1,
    3, 5, 15, 23, 31, 15, 61, 313, 83, 49, 1377, 7029, 14187, 1, 3, 7,
    9, 29, 7, 117, 111, 493, 159, 513, 3841, 7011, 14723, 1, 1, 5, 13, 21,
    15, 3, 139, 463, 1023, 1301, 243, 5105, 2259, 1, 1, 7, 13, 5, 3, 119,
    111, 447, 75, 1161, 1917, 345, 557, 1, 1, 5, 5, 25, 21, 87, 93, 237,
    921, 475, 2555, 4105, 5691, 1, 1, 3, 15, 29, 51, 5, 73, 471, 421, 861,
    3833, 2531, 1059, 1, 3, 7, 9, 3, 11, 101, 35, 271, 981, 1661, 1629, 7321,
    1335, 1, 1, 5, 9, 9, 37, 9, 127, 45, 215, 611, 1193, 659, 5975, 1,
    1, 3, 9, 31, 31, 21, 167, 415, 513, 1917, 829, 1161, 3585, 1, 1, 7,
    1, 19, 23, 49, 55, 169, 351, 1389, 3251, 5001, 13445, 1, 3, 1, 15, 3,
    3, 113, 193, 391, 851, 681, 2961, 7239, 12837, 1, 3, 5, 15, 5, 43, 71,
    1, 347, 635, 1123, 3399, 2087, 8209, 1, 1, 3, 15, 23, 7, 59, 115, 139,
    311, 893, 2421, 405, 6541, 1, 3, 3, 3, 25, 23, 127, 135, 199, 661, 7,
    3279, 91, 11879, 1, 1, 3, 3, 19, 37, 33, 159, 3, 425, 379, 1321, 369,
    13125, 1, 3, 5, 15, 7, 17, 47, 47, 167, 909, 403, 95, 7861, 231, 1,
    1, 5, 1, 15, 5, 69, 179, 229, 597, 1743, 467, 1859, 2059, 1, 1, 7,
    15, 5, 63, 109, 191, 271, 281, 907, 489, 5863, 12697, 1, 1, 3, 3, 31,
    1, 67, 81, 3, 755, 1839, 1481, 4691, 14549, 1, 3, 3, 15, 17, 13, 59,
    23, 85, 951, 1259, 363, 5479, 10705, 1, 1, 3, 15, 11, 61, 111, 109, 361,
    483, 1691, 1039, 3777, 14613, 1, 1, 3, 5, 29, 55, 101, 55, 407, 61, 607,
    829, 8011, 14021, 1, 1, 1, 13, 1, 39, 29, 19, 389, 85, 313, 1123, 1303,
    11535, 1, 1, 1, 5, 5, 45, 47, 139, 165, 937, 1677, 2973, 501, 4387, 1,
    3, 5, 9, 5, 55, 89, 235, 29, 75, 1839, 801, 5753, 4409, 1, 1, 3,
    5, 7, 41, 7, 185, 297, 661, 1955, 2193, 6001, 12349, 1, 1, 7, 15, 27,
    47, 7, 7, 183, 725, 1511, 3021, 6091, 10567, 1, 3, 3, 13, 21, 7, 79,
    133, 307, 759, 369, 2779, 7629, 16191, 1, 1, 5, 9, 5, 47, 15, 141, 293,
    339, 1471, 127, 5805, 5543, 1, 3, 1, 9, 31, 7, 125, 27, 511, 549, 619,
    743, 3471, 8595, 1, 1, 7, 5, 15, 9, 25, 35, 161, 691, 659, 909, 969,
    9285, 1, 1, 7, 11, 31, 17, 59, 255, 281, 7, 1075, 2561, 6883, 8193, 1,
    1, 7, 1, 9, 15, 83, 253, 415, 601, 417, 3999, 7513, 3663, 1, 3, 5,
    7, 11, 25, 109, 135, 41, 5, 697, 1703, 8175, 11369, 1, 1, 7, 15, 7,
    39, 1, 253, 373, 273, 857, 401, 1609, 2391, 1, 1, 5, 1, 1, 61, 85,
    213, 183, 695, 523, 1237, 5485, 6843, 1, 1, 7, 9, 17, 41, 125, 209, 285,
    823, 857, 31, 839, 10847, 1, 3, 5, 9, 31, 23, 65, 75, 243, 471, 669,
    539, 3949, 14913, 1, 1, 7, 3, 25, 23, 109, 19, 89, 983, 193, 1433, 6401,
    663, 1, 3, 1, 15, 25, 9, 93, 13, 133, 561, 1343, 4049, 6221, 3137, 1,
    1, 3, 3, 31, 47, 105, 225, 231, 75, 187, 963, 3339, 9705, 1, 3, 7,
    1, 9, 31, 21, 221, 309, 791, 2011, 241, 5507, 11579, 1, 3, 7, 9, 1,
    19, 53, 239, 305, 151, 53, 873, 5235, 13357, 1, 1, 5, 15, 13, 27, 23,
    255, 75, 435, 209, 2001, 2529, 5363, 1, 1, 7, 5, 25, 53, 71, 203, 259,
    403, 1535, 3381, 6791, 16061, 1, 3, 5, 3, 29, 5, 93, 5, 179, 813, 1569,
    2875, 7855, 13863, 1, 1, 3, 7, 1, 13, 97, 125, 479, 209, 1659, 2997, 3405,
    9707, 1, 3, 1, 9, 5, 43, 15, 29, 317, 317, 1317, 3177, 519, 8115, 1,
    1, 1, 5, 1, 55, 49, 145, 415, 785, 1489, 1217, 3829, 10207, 1, 3, 3,
    9, 17, 5, 99, 235, 277, 921, 71, 343, 2935, 12495, 1, 1, 3, 15, 25,
    11, 11, 69, 209, 543, 17, 1489, 8119, 3557, 1, 1, 7, 9, 29, 43, 125,
    87, 11, 947, 1709, 17, 3467, 3339, 1, 3, 5, 15, 23, 47, 113, 185, 75,
    523, 1253, 859, 6359, 15563, 1, 1, 7, 11, 1, 25, 25, 23, 267, 275, 1751,
    3237, 3967, 9943, 1, 1, 1, 13, 7, 35, 43, 151, 489, 97, 143, 257, 771,
    8181, 1, 1, 3, 7, 19, 11, 17, 23, 425, 869, 525, 95, 2217, 3931, 1,
    3, 7, 11, 3, 19, 77, 219, 501, 23, 773, 2421, 3713, 6209, 1, 1, 3,
    1, 7, 1, 33, 35, 229, 329, 201, 291, 4165, 16059, 1, 3, 5, 9, 17,
    23, 107, 23, 3, 673, 609, 2931, 5989, 3133, 1, 3, 3, 3, 17, 59, 31,
    63, 111, 287, 407, 769, 2381, 2203, 1, 1, 1, 15, 3, 51, 105, 57, 313,
    847, 261, 2697, 749, 15419, 1, 3, 1, 11, 3, 21, 65, 139, 363, 21, 1889,
    1007, 6969, 3609, 1, 3, 7, 15, 17, 51, 73, 121, 481, 339, 1409, 131, 2005,
    11847, 1, 3, 5, 3, 31, 13, 107, 253, 125, 973, 1027, 3473, 6883, 15061, 1,
    3, 1, 5, 25, 17, 11, 255, 209, 35, 1987, 2275, 2327, 16079, 1, 3, 7,
    5, 3, 1, 25, 93, 397, 467, 1895, 3199, 1861, 10943, 1, 3, 7, 1, 23,
    27, 13, 211, 299, 117, 1689, 457, 6335, 11921, 1, 1, 5, 5, 9, 59, 49,
    177, 81, 913, 429, 2705, 339, 9347, 1, 3, 1, 15, 1, 61, 81, 143, 455,
    311, 381, 235, 2537, 12511, 1, 3, 5, 11, 7, 33, 103, 137, 377, 717, 851,
    2939, 303, 11175, 1, 3, 3, 13, 25, 59, 15, 43, 71, 767, 47, 3425, 7015,
    14431, 1, 3, 3, 9, 25, 37, 37, 39, 279, 491, 1483, 2633, 3791, 14311, 1,
    1, 1, 13, 29, 63, 83, 89, 339, 923, 455, 965, 7339, 16383, 1, 1, 3,
    1, 9, 33, 7, 63, 385, 717, 1449, 2705, 6233, 10753, 1, 3, 1, 11, 15,
    13, 11, 181, 271, 749, 1825, 875, 2497, 12999, 1, 3, 3, 7, 13, 49, 35,
    65, 467, 259, 429, 549, 5481, 11343, 1, 3, 7, 15, 17, 55, 125, 217, 91,
    495, 133, 1985, 4871, 3415, 1, 3, 3, 13, 11, 33, 29, 53, 253, 935, 1919,
    2607, 3205, 819, 1, 1, 1, 3, 25, 23, 127, 151, 39, 583, 985, 715, 765,
    16343, 1, 3, 5, 3, 7, 21, 127, 179, 239, 353, 221, 531, 5147, 6699, 1,
    1, 7, 9, 7, 63, 91, 99, 495, 111, 1295, 2609, 6389, 7719, 1, 3, 5,
    7, 9, 27, 123, 171, 155, 683, 1209, 2081, 2823, 1007, 1, 3, 3, 15, 25,
    45, 91, 93, 329, 961, 1843, 2637, 4333, 8359, 1, 3, 1, 5, 9, 5, 73,
    221, 71, 951, 1175, 2489, 4565, 7221, 1, 3, 1, 3, 31, 33, 67, 127, 427,
    487, 239, 787, 1731, 11867, 1, 1, 1, 9, 17, 23, 5, 201, 175, 661, 1381,
    3017, 4237, 14403, 1, 3, 7, 7, 31, 7, 39, 141, 299, 237, 281, 3057, 5553,
    11339, 1, 1, 1, 15, 25, 49, 51, 135, 363, 377, 1767, 4069, 3001, 7111, 1,
    3, 7, 11, 29, 7, 91, 145, 263, 581, 35, 3101, 6227, 12007, 30807, 1, 1,
    1, 13, 11, 41, 61, 135, 61, 501, 189, 1923, 129, 14563, 12247, 1, 1, 3,
    5, 17, 45, 53, 5, 199, 165, 859, 771, 4553, 14723, 17293, 1, 1, 3, 15,
    27, 57, 41, 3, 437, 543, 1291, 1083, 1311, 4407, 9107, 1, 1, 3, 11, 19,
    23, 17, 251, 267, 575, 1675, 775, 1281, 12389, 11781, 1, 3, 3, 9, 19, 41,
    69, 45, 113, 683, 1843, 1217, 1075, 7141, 11259, 1, 3, 5, 5, 21, 45, 75,
    199, 227, 717, 267, 3211, 5893, 6559, 16445, 1, 1, 3, 15, 25, 19, 13, 3,
    477, 511, 1607, 61, 5937, 6471, 4561, 1, 1, 7, 9, 25, 9, 59, 209, 181,
    671, 1473, 1863, 6835, 5915, 21573, 1, 1, 7, 5, 31, 43, 91, 191, 505, 979,
    1431, 1347, 1445, 9759, 31653, 1, 1, 5, 3, 11, 63, 35, 1, 313, 863, 577,
    3039, 5205, 5089, 20009, 1, 3, 3, 7, 1, 27, 79, 21, 179, 187, 917, 1831,
    1737, 2879, 5801, 1, 1, 1, 3, 19, 51, 77, 201, 499, 345, 617, 33, 543,
    6925, 5945, 1, 3, 1, 1, 19, 49, 67, 51, 181, 1015, 1159, 2109, 879, 10257,
    23207, 1, 1, 7, 7, 19, 29, 7, 111, 365, 373, 1309, 3633, 5951, 2597, 27947,
    1, 3, 5, 13, 21, 27, 85, 71, 149, 665, 1499, 4025, 3939, 8947, 15811, 1,
    3, 7, 5, 25, 47, 77, 99, 105, 739, 1077, 3145, 7859, 1925, 16765, 1, 1,
    3, 11, 25, 9, 113, 105, 309, 397, 1687, 1171, 455, 3183, 12487, 1, 1, 7,
    15, 7, 9, 51, 239, 469, 415, 1895, 89, 4243, 967, 7113, 1, 1, 5, 1,
    23, 41, 39, 247, 115, 541, 1461, 2907, 2175, 3133, 3171, 1, 3, 7, 11, 7,
    53, 43, 187, 213, 549, 947, 3695, 3931, 699, 21299, 1, 1, 1, 7, 15, 9,
    9, 3, 175, 231, 1529, 337, 5333, 6945, 1359, 1, 1, 3, 3, 13, 25, 123,
    231, 389, 351, 1695, 2959, 1037, 2103, 327, 1, 3, 5, 11, 9, 31, 19, 149,
    1, 477, 1819, 3487, 3299, 8835, 10351, 1, 1, 5, 7, 9, 37, 123, 93, 267,
    481, 901, 3927, 7295, 13251, 22551, 1, 1, 7, 11, 21, 13, 127, 173, 459, 169,
    1511, 1649, 5431, 8637, 3601, 1, 1, 1, 9, 29, 3, 101, 135, 159, 295, 1767,
    3089, 3753, 4969, 21523, 1, 3, 5, 3, 3, 9, 45, 143, 301, 307, 191, 3337,
    6721, 12095, 7017, 1, 3, 7, 13, 17, 25, 55, 37, 379, 725, 1079, 311, 2853,
    15097, 31857, 1, 3, 1, 13, 19, 57, 39, 99, 39, 283, 425, 2447, 2077, 815,
    7639, 1, 3, 3, 15, 11, 5, 17, 83, 231, 535, 35, 2773, 4127, 9951, 5773,
    1, 3, 3, 15, 7, 47, 87, 119, 291, 523, 1325, 1757, 2377, 6481, 7901, 1,
    3, 7, 15, 25, 21, 29, 87, 241, 241, 1273, 2813, 2011, 8549, 7253, 1, 1,
    1, 7, 19, 35, 119, 227, 483, 1015, 685, 1149, 4823, 4113, 7169, 1, 3, 3,
    5, 11, 59, 125, 99, 255, 149, 829, 2869, 7927, 6779, 31949, 1, 3, 7, 3,
    3, 49, 21, 111, 219, 33, 91, 1585, 303, 14931, 11777, 1, 3, 3, 11, 3,
    47, 27, 227, 477, 891, 1281, 1927, 7325, 14075, 26633, 1, 1, 5, 5, 5, 29,
    25, 23, 223, 65, 1511, 2563, 7825, 7339, 32095, 1, 1, 5, 7, 3, 29, 49,
    83, 317, 513, 755, 1339, 4829, 6213, 29055, 1, 1, 3, 5, 23, 23, 97, 27,
    379, 183, 933, 3431, 797, 9655, 32061, 1, 1, 7, 1, 29, 61, 31, 75, 331,
    487, 229, 2319, 1385, 14697, 17081, 1, 1, 1, 5, 19, 1, 43, 27, 433, 751,
    1283, 559, 7941, 7385, 13809, 1, 1, 3, 15, 19, 37, 97, 219, 217, 39, 1969,
    1909, 2895, 749, 27607, 1, 3, 5, 9, 25, 17, 79, 213, 321, 73, 533, 3773,
    6989, 10183, 20179, 1, 1, 5, 7, 15, 51, 71, 161, 107, 531, 461, 15, 2887,
    13271, 24273, 1, 3, 5, 7, 29, 21, 119, 53, 207, 471, 987, 1771, 7259, 4377,
    15405, 1, 1, 3, 11, 3, 5, 7, 189, 231, 181, 751, 1, 225, 12575, 4853,
    1, 1, 1, 13, 1, 51, 35, 239, 145, 827, 1169, 3671, 7585, 4593, 4433, 1,
    1, 3, 13, 15, 55, 43, 157, 13, 517, 1669, 25, 1175, 3971, 11165, 1, 3,
    7, 15, 15, 37, 33, 155, 243, 375, 947, 1869, 2693, 5191, 9865, 1, 3, 7,
    1, 15, 57, 73, 15, 389, 341, 207, 3249, 439, 5975, 23461, 1, 3, 3, 11,
    17, 3, 35, 245, 349, 915, 1221, 1495, 5525, 10223, 29109, 1, 1, 7, 9, 19,
    17, 39, 49, 159, 163, 419, 1117, 7947, 7177, 10945, 1, 3, 7, 5, 23, 35,
    31, 33, 325, 565, 1951, 745, 6867, 13121, 25831, 1, 3, 7, 7, 27, 11, 89,
    191, 233, 57, 1621, 2167, 7155, 15613, 14111, 1, 1, 7, 15, 31, 49, 3, 245,
    51, 173, 1809, 379, 8085, 5125, 10279, 1, 1, 7, 7, 29, 59, 37, 197, 377,
    5, 1851, 3685, 3537, 1897, 24257, 1, 1, 1, 11, 13, 9, 11, 19, 377, 435,
    869, 497, 8181, 3411, 4415, 1, 1, 5, 7, 7, 21, 51, 115, 435, 9, 1099,
    987, 1633, 7689, 19131, 1, 3, 3, 5, 17, 59, 93, 131, 17, 637, 211, 2759,
    3059, 4691, 10225, 1, 3, 3, 13, 5, 35, 55, 49, 425, 395, 615, 1505, 1477,
    6689, 28435, 1, 1, 3, 5, 27, 1, 43, 53, 375, 657, 1307, 1869, 415, 1143,
    16961, 1, 1, 7, 5, 13, 27, 111, 113, 459, 149, 139, 79, 5031, 15165, 443,
    1, 3, 1, 11, 9, 45, 35, 217, 259, 523, 601, 499, 7683, 1447, 5267, 1,
    3, 1, 7, 3, 51, 101, 191, 469, 435, 883, 343, 1897, 5245, 1037, 1, 3,
    5, 1, 19, 21, 109, 105, 363, 409, 1651, 3739, 339, 12915, 31603, 1, 3, 5,
    13, 9, 7, 65, 193, 447, 829, 1123, 2431, 3357, 6687, 26903, 1, 3, 5, 5,
    11, 9, 69, 147, 331, 657, 1589, 3417, 5805, 8673, 2517, 1, 3, 1, 5, 23,
    45, 59, 53, 285, 711, 1447, 927, 8005, 3513, 18147, 1, 3, 5, 9, 9, 15,
    17, 85, 165, 923, 915, 3263, 1103, 9445, 15371, 1, 1, 5, 13, 13, 13, 33,
    249, 501, 495, 1771, 1305, 2821, 9405, 7193, 1, 1, 3, 5, 9, 11, 23, 5,
    359, 977, 613, 2163, 4511, 7901, 1609, 1, 1, 3, 5, 29, 29, 73, 69, 155,
    863, 243, 2705, 4005, 11249, 13983, 1, 3, 7, 9, 9, 15, 75, 171, 213, 931,
    1613, 3801, 4617, 3929, 24787, 1, 3, 5, 11, 19, 35, 107, 251, 121, 455, 2027,
    2323, 4297, 7949, 12043, 1, 3, 3, 7, 3, 59, 13, 151, 161, 615, 1427, 2469,
    3211, 6601, 26829, 1, 1, 1, 9, 31, 1, 41, 247, 225, 65, 1751, 3557, 935,
    16115, 3009, 1, 1, 7, 1, 31, 3, 31, 39, 279, 213, 1141, 371, 7529, 12485,
    6585, 1, 3, 3, 3, 13, 31, 121, 185, 171, 991, 147, 1913, 475, 15155, 2427,
    1, 3, 5, 5, 7, 13, 59, 127, 175, 717, 759, 3949, 4229, 2091, 20267, 1,
    3, 1, 15, 21, 33, 45, 57, 1, 463, 1217, 1499, 269, 11159, 17175, 1, 1,
    1, 9, 21, 29, 51, 63, 299, 775, 239, 575, 1033, 3627, 12017, 1, 3, 3,
    3, 23, 35, 63, 197, 341, 775, 675, 1835, 4155, 7439, 1797, 1, 3, 7, 5,
    23, 57, 71, 181, 1, 95, 337, 1971, 5721, 15013, 3387, 1, 3, 1, 5, 31,
    21, 33, 203, 463, 3, 1261, 555, 3847, 5653, 18155, 1, 1, 3, 9, 27, 57,
    57, 119, 213, 723, 1695, 2233, 1605, 8169, 28485, 1, 1, 7, 11, 17, 35, 119,
    167, 391, 111, 229, 695, 4209, 5457, 6729, 1, 1, 7, 11, 5, 23, 5, 223,
    89, 447, 2015, 3403, 1335, 15235, 20897, 1, 1, 1, 7, 1, 63, 55, 233, 351,
    323, 497, 1247, 2455, 2337, 17523, 1, 3, 1, 11, 7, 21, 127, 207, 197, 479,
    611, 3525, 2093, 2591, 21085, 1, 3, 5, 5, 1, 37, 107, 199, 29, 995, 1857,
    133, 1423, 9967, 11367, 1, 1, 7, 11, 25, 25, 17, 155, 221, 539, 1895, 1909,
    2921, 13107, 21681, 1, 1, 1, 13, 25, 59, 45, 41, 401, 657, 2043, 1317, 8065,
    11897, 4767, 1, 1, 7, 15, 21, 29, 43, 125, 407, 851, 1421, 1101, 811, 9577,
    27, 1, 3, 5, 7, 25, 49, 65, 175, 319, 807, 1691, 357, 4015, 1059, 599,
    1, 1, 7, 13, 23, 5, 65, 79, 43, 665, 1931, 2143, 4577, 5905, 14917, 1,
    3, 1, 7, 5, 41, 121, 251, 395, 951, 795, 1589, 4027, 13671, 18787, 1, 3,
    7, 11, 3, 51, 57, 177, 63, 33, 1085, 1357, 5039, 2583, 2805, 1, 1, 1,
    1, 29, 53, 117, 225, 373, 1, 901, 3871, 2815, 9871, 7737, 1, 3, 7, 7,
    31, 61, 89, 253, 291, 829, 9, 1131, 4951, 14509, 23491, 1, 1, 7, 5, 25,
    43, 35, 63, 425, 757, 217, 821, 1453, 8413, 7745, 1, 1, 5, 5, 7, 1,
    41, 233, 235, 599, 833, 3637, 7005, 789, 27709, 1, 1, 3, 13, 7, 57, 69,
    115, 417, 99, 1435, 3119, 1655, 3515, 7273, 1, 1, 3, 15, 9, 13, 33, 57,
    179, 847, 289, 2213, 4635, 2349, 20203, 1, 1, 3, 9, 1, 39, 63, 147, 277,
    389, 575, 423, 4943, 4327, 29067, 1, 1, 3, 13, 9, 9, 69, 167, 119, 591,
    1679, 3543, 4517, 9263, 17957, 1, 3, 5, 13, 25, 37, 127, 159, 391, 29, 329,
    3477, 6513, 11971, 18791, 1, 1, 7, 5, 25, 29, 49, 135, 387, 921, 391, 665,
    6315, 16183, 553, 1, 1, 7, 3, 27, 43, 43, 253, 9, 285, 1073, 2627, 7417,
    3223, 2649, 1, 1, 5, 3, 13, 57, 119, 37, 475, 471, 1145, 2709, 2115, 6507,
    12393, 1, 1, 3, 1, 17, 29, 117, 189, 319, 533, 1299, 1987, 4971, 15719, 19395,
    1, 1, 1, 15, 11, 63, 77, 245, 57, 9, 1285, 2069, 579, 5105, 13797, 1,
    3, 1, 11, 19, 49, 1, 241, 89, 519, 591, 3875, 1585, 7239, 25867, 1, 1,
    5, 11, 27, 47, 1, 143, 209, 695, 539, 3781, 6317, 14075, 27849, 1, 1, 3,
    5, 17, 3, 17, 201, 105, 771, 497, 735, 3517, 5207, 20897, 1, 1, 3, 15,
    3, 3, 103, 35, 421, 235, 1527, 3139, 2693, 9739, 63, 1, 3, 1, 13, 21,
    39, 101, 213, 205, 853, 1455, 39, 7917, 7893, 4627, 1, 3, 7, 5, 13, 5,
    9, 239, 129, 355, 809, 3413, 7535, 7063, 29149, 1, 1, 5, 3, 19, 37, 125,
    55, 495, 597, 735, 1729, 619, 12881, 22913, 1, 1, 5, 11, 27, 31, 87, 65,
    413, 421, 575, 2185, 4217, 12223, 22487, 1, 3, 3, 7, 23, 51, 115, 221, 369,
    27, 229, 613, 3739, 1425, 10927, 1, 1, 1, 13, 23, 49, 73, 223, 139, 511,
    899, 483, 7747, 7947, 32357, 1, 3, 5, 3, 7, 31, 9, 119, 417, 723, 2033,
    663, 5927, 1787, 12841, 1, 1, 5, 9, 7, 5, 55, 201, 245, 221, 1447, 405,
    447, 2447, 24331, 1, 3, 5, 11, 9, 47, 33, 175, 187, 513, 1613, 2413, 4207,
    6941, 2341, 1, 1, 5, 9, 19, 33, 33, 181, 505, 923, 1923, 2471, 6499, 11243,
    29653, 1, 1, 5, 15, 1, 49, 21, 15, 443, 565, 1955, 3299, 139, 14389, 28011,
    1, 1, 3, 9, 17, 27, 29, 65, 509, 867, 707, 2425, 7279, 15271, 18239, 1,
    1, 7, 15, 3, 1, 103, 79, 49, 909, 529, 1207, 231, 11181, 23319, 1, 1,
    5, 1, 13, 23, 33, 29, 189, 491, 129, 501, 2635, 2071, 18057, 1, 1, 7,
    7, 19, 1, 95, 185, 67, 251, 1017, 105, 3683, 9797, 24413, 1, 3, 5, 9,
    13, 35, 79, 213, 223, 1013, 1205, 1777, 1415, 5023, 15901, 1, 1, 1, 5, 15,
    13, 91, 57, 447, 897, 935, 1543, 5461, 5091, 12697, 1, 1, 1, 11, 9, 61,
    81, 147, 55, 121, 449, 2833, 2383, 12065, 19435, 1, 3, 1, 3, 17, 27, 77,
    203, 415, 489, 665, 21, 6453, 5069, 29629, 1, 1, 1, 9, 7, 3, 33, 209,
    85, 851, 367, 783, 309, 14821, 1217, 1, 1, 1, 15, 5, 39, 15, 225, 241,
    477, 999, 841, 4637, 5383, 18081, 1, 1, 5, 5, 19, 49, 101, 115, 87, 781,
    815, 2405, 2579, 15043, 31067, 1, 1, 3, 5, 3, 57, 123, 191, 305, 999, 1091,
    733, 3219, 891, 30495, 1, 1, 5, 3, 27, 17, 95, 121, 39, 41, 171, 97,
    7363, 11279, 28039, 1, 3, 7, 5, 21, 9, 21, 147, 269, 475, 1825, 1459, 6337,
    3259, 27731, 1, 1, 3, 5, 9, 17, 107, 171, 253, 71, 629, 1671, 2587, 11429,
    8985, 1, 3, 3, 9, 25, 1, 63, 15, 173, 79, 1465, 2647, 6885, 13043, 24703,
    1, 3, 1, 9, 1, 13, 3, 217, 49, 77, 1635, 3767, 173, 12697, 11837, 1,
    3, 5, 13, 31, 7, 11, 181, 509, 601, 1267, 1857, 7871, 1703, 6091, 1, 1,
    1, 11, 29, 61, 117, 151, 487, 185, 1899, 575, 7341, 3055, 26513, 1, 3, 7,
    15, 1, 49, 87, 23, 483, 603, 1197, 2589, 1705, 5759, 19791, 1, 3, 3, 11,
    1, 37, 71, 115, 59, 167, 1907, 2225, 5673, 14571, 19389, 1, 1, 3, 7, 15,
    57, 33, 143, 45, 321, 779, 543, 3465, 4769, 19753, 1, 3, 5, 5, 31, 21,
    21, 141, 197, 397, 1041, 317, 109, 9395, 7141, 1, 3, 7, 11, 1, 61, 45,
    215, 405, 365, 1801, 2767, 6381, 12975, 41, 1, 3, 7, 7, 23, 13, 37, 193,
    305, 883, 1427, 3859, 2049, 16065, 2471, 1, 3, 3, 3, 31, 3, 9, 169, 433,
    187, 545, 985, 7699, 1183, 27773, 1, 3, 5, 15, 11, 15, 9, 171, 89, 711,
    163, 3637, 5725, 5079, 13373, 1, 1, 7, 1, 1, 29, 123, 235, 229, 667, 1155,
    3387, 129, 13889, 24547, 1, 3, 3, 7, 27, 15, 75, 117, 335, 821, 609, 3843,
    79, 6787, 5605, 1, 1, 3, 15, 27, 47, 13, 163, 205, 773, 541, 1155, 4341,
    14155, 6643, 1, 3, 3, 11, 31, 1, 67, 35, 443, 723, 1089, 2605, 4193, 6133,
    31127, 1, 1, 1, 15, 27, 57, 11, 153, 199, 219, 1987, 2517, 1455, 6051, 9615,
    1, 3, 5, 9, 5, 7, 79, 187, 93, 679, 1607, 799, 2753, 6513, 11371, 1,
    3, 1, 15, 31, 55, 5, 175, 261, 545, 995, 2225, 2217, 2037, 14785, 1, 3,
    5, 9, 29, 5, 101, 223, 241, 829, 1625, 3417, 1335, 10705, 531, 1, 3, 3,
    1, 19, 15, 5, 203, 97, 165, 99, 2371, 3267, 13169, 22229, 1, 1, 1, 7,
    11, 63, 113, 255, 145, 589, 1149, 683, 2619, 5569, 5933, 1, 1, 5, 9, 23,
    41, 21, 217, 503, 975, 329, 3433, 6299, 5337, 199, 1, 1, 7, 13, 3, 39,
    109, 223, 241, 521, 1071, 589, 1199, 13059, 24921, 1, 1, 3, 7, 11, 23, 27,
    15, 107, 679, 87, 3259, 4369, 7365, 16293, 1, 3, 3, 11, 11, 5, 75, 111,
    21, 587, 1707, 1915, 6617, 11143, 24389, 1, 1, 5, 9, 5, 59, 77, 3, 43,
    583, 1601, 2183, 6209, 5409, 18175, 1, 1, 1, 1, 15, 1, 55, 95, 437, 731,
    1559, 2421, 7441, 6567, 1549, 1, 3, 3, 11, 17, 21, 13, 61, 153, 81, 141,
    3095, 5485, 14461, 8495, 1, 1, 1, 13, 25, 61, 87, 195, 243, 47, 103, 3451,
    5583, 1611, 11939, 1, 1, 5, 7, 31, 53, 93, 101, 145, 917, 1669, 867, 6949,
    16333, 12577, 1, 1, 5, 1, 5, 41, 35, 75, 331, 671, 1623, 1573, 4275, 9031,
    9047, 1, 3, 5, 13, 15, 39, 29, 183, 477, 787, 1333, 2499, 2189, 8387, 2783,
    1, 1, 3, 7, 19, 33, 117, 201, 177, 595, 69, 3341, 1841, 11091, 16745, 1,
    3, 7, 11, 29, 59, 69, 119, 433, 595, 221, 1245, 7805, 1761, 27657, 1, 3,
    5, 3, 23, 19, 75, 189, 279, 867, 113, 3817, 6093, 12237, 20297, 1, 1, 1,
    15, 21, 39, 15, 249, 9, 997, 51, 1317, 1083, 13683, 5759, 1, 1, 5, 15,
    29, 29, 25, 93, 465, 549, 283, 1673, 1745, 3913, 7931, 1, 3, 5, 1, 5,
    23, 123, 217, 211, 215, 1999, 1229, 6969, 13481, 14795, 1, 1, 3, 5, 17, 35,
    107, 163, 103, 807, 463, 2999, 4889, 12863, 24619, 1, 3, 1, 15, 5, 17, 121,
    209, 49, 871, 1931, 345, 6887, 1357, 14693, 1, 1, 1, 1, 23, 63, 53, 35,
    511, 261, 11, 283, 3283, 1963, 11703, 1, 3, 3, 13, 15, 41, 19, 39, 445,
    21, 513, 2957, 2307, 11451, 6539, 1, 1, 3, 11, 19, 45, 7, 155, 387, 287,
    347, 1557, 7407, 10885, 31829, 1, 3, 5, 13, 9, 53, 61, 99, 355, 449, 1353,
    3135, 2329, 733, 22443, 1, 1, 3, 5, 27, 47, 43, 217, 113, 385, 903, 3015,
    4169, 10705, 11351, 1, 3, 7, 11, 9, 33, 7, 167, 473, 465, 357, 2387, 2901,
    12995, 16871, 1, 3, 7, 3, 29, 35, 85, 201, 311, 581, 491, 2977, 7433, 14615,
    29995, 1, 3, 1, 15, 5, 5, 121, 17, 93, 847, 835, 3885, 2437, 2237, 15669,
    1, 3, 7, 5, 29, 39, 57, 241, 247, 847, 311, 3115, 7605, 3117, 30677, 1,
    3, 1, 13, 21, 27, 123, 77, 511, 319, 1699, 709, 7021, 14377, 9601, 1, 3,
    3, 5, 31, 1, 49, 249, 271, 595, 1069, 2307, 567, 13145, 8779, 1, 3, 3,
    3, 29, 25, 55, 63, 289, 617, 1209, 3949, 481, 13495, 16659, 1, 3, 3, 3,
    5, 19, 47, 125, 323, 917, 1875, 1683, 7451, 16145, 3029, 1, 1, 7, 5, 27,
    33, 3, 133, 477, 457, 803, 1141, 3965, 9127, 21173, 1, 3, 5, 7, 19, 61,
    17, 27, 297, 995, 1119, 2555, 6741, 3233, 13735, 1, 3, 7, 11, 11, 21, 21,
    143, 319, 143, 675, 187, 6909, 7145, 27029, 1, 3, 3, 1, 29, 5, 1, 65,
    123, 801, 933, 3105, 1163, 15703, 9567, 1, 1, 3, 11, 3, 15, 11, 109, 117,
    1011, 1407, 3287, 5799, 147, 32641, 1, 1, 1, 5, 29, 25, 63, 39, 139, 379,
    1887, 417, 2965, 4409, 19149, 1, 1, 1, 13, 31, 25, 123, 187, 311, 397, 1467,
    15, 4253, 14565, 32609, 1, 3, 5, 7, 25, 5, 13, 25, 489, 837, 865, 527,
    4965, 2567, 13505, 1, 1, 3, 9, 3, 15, 59, 115, 339, 459, 2011, 3311, 4067,
    3437, 21435, 1, 1, 5, 3, 17, 35, 49, 11, 217, 401, 385, 569, 1727, 9927,
    27229, 1, 3, 1, 5, 27, 43, 21, 11, 459, 555, 237, 87, 7531, 16117, 23625,
    1, 3, 3, 5, 15, 57, 93, 35, 31, 257, 77, 3437, 3665, 3137, 2477, 1,
    3, 5, 9, 1, 43, 91, 55, 53, 265, 1495, 551, 4729, 7839, 23475, 1, 1,
    7, 11, 11, 45, 9, 27, 485, 397, 925, 3601, 4419, 4563, 6443, 1, 3, 5,
    3, 15, 35, 103, 239, 193, 831, 559, 1299, 4939, 8051, 6899, 1, 3, 3, 11,
    17, 47, 77, 13, 227, 935, 1973, 1789, 4357, 5135, 27643, 1, 1, 3, 7, 11,
    51, 109, 143, 101, 131, 565, 3503, 5649, 10007, 6283, 1, 1, 3, 15, 19, 5,
    15, 241, 399, 341, 943, 587, 4757, 13941, 7571, 1, 3, 3, 3, 21, 9, 119,
    119, 445, 349, 1517, 17, 3593, 11983, 9713, 1, 1, 3, 3, 23, 55, 21, 251,
    191, 585, 1619, 431, 4161, 5667, 17703, 1, 3, 3, 3, 1, 57, 65, 231, 67,
    531, 1403, 3883, 4463, 12795, 4427, 1, 1, 5, 15, 19, 7, 9, 163, 487, 455,
    1663, 3141, 5975, 11001, 24781, 1, 1, 5, 1, 29, 19, 45, 235, 371, 935, 1757,
    187, 7729, 6241, 27171, 1, 1, 1, 1, 15, 39, 39, 171, 145, 413, 1545, 3733,
    1815, 9443, 32705, 1, 1, 3, 9, 31, 1, 87, 11, 219, 913, 131, 3625, 7927,
    9945, 2595, 1, 3, 3, 13, 21, 15, 39, 29, 267, 275, 973, 701, 1057, 13641,
    22149, 1, 3, 3, 5, 3, 33, 81, 29, 85, 515, 1719, 3967, 5145, 12921, 8303,
    1, 3, 7, 11, 17, 23, 113, 129, 395, 153, 427, 1113, 8157, 9087, 20471, 1,
    1, 5, 9, 23, 5, 119, 67, 215, 581, 1249, 3949, 731, 10387, 27979, 1, 1,
    5, 5, 5, 53, 7, 39, 51, 519, 225, 119, 4335, 11723, 27971, 1, 3, 5,
    3, 5, 49, 105, 29, 443, 457, 191, 2679, 5803, 12017, 2205, 1, 1, 3, 1,
    23, 31, 11, 199, 479, 231, 431, 1989, 705, 6557, 27763, 1, 1, 3, 1, 27,
    9, 39, 105, 149, 1017, 79, 1575, 6365, 839, 27601, 1, 1, 3, 7, 1, 29,
    61, 129, 253, 541, 1953, 351, 2895, 14385, 23685, 1, 3, 1, 7, 19, 15, 55,
    133, 195, 881, 311, 2021, 7935, 4513, 31065, 1, 1, 5, 13, 23, 55, 53, 169,
    79, 707, 1415, 3999, 299, 6689, 10219, 1, 3, 3, 7, 7, 47, 77, 209, 467,
    39, 291, 3769, 1295, 12407, 2205, 1, 1, 3, 9, 13, 3, 63, 241, 251, 939,
    1391, 2053, 719, 13739, 12167, 1, 1, 7, 9, 21, 31, 37, 11, 187, 201, 1425,
    249, 2475, 12421, 14443, 1, 1, 3, 9, 31, 51, 53, 119, 19, 13, 1513, 1115,
    1265, 15707, 22795, 1, 3, 5, 9, 23, 13, 69, 247, 103, 773, 997, 703, 2921,
    3165, 3027, 1, 3, 7, 7, 15, 27, 81, 221, 259, 405, 391, 2635, 1747, 7743,
    28833, 1, 1, 3, 9, 29, 47, 23, 127, 49, 81, 543, 919, 5517, 9573, 1523,
    1, 3, 3, 9, 11, 37, 123, 199, 343, 697, 293, 3123, 4601, 14209, 30425, 1,
    1, 5, 7, 3, 31, 127, 13, 191, 509, 1999, 3379, 2365, 10307, 26693, 1, 3,
    7, 3, 3, 41, 71, 153, 119, 9, 1601, 3839, 369, 16241, 19115, 1, 1, 5,
    5, 3, 17, 7, 65, 191, 143, 127, 1973, 6885, 13615, 26289, 1, 1, 3, 5,
    13, 5, 87, 17, 445, 975, 1527, 253, 5983, 7095, 21271, 1, 3, 1, 3, 7,
    49, 29, 19, 37, 695, 603, 3153, 4065, 5421, 3285, 1, 1, 5, 13, 25, 47,
    43, 35, 205, 629, 1255, 2843, 7533, 751, 10119, 1, 3, 1, 11, 13, 27, 127,
    221, 67, 523, 217, 1493, 1793, 10871, 14289, 1, 1, 1, 5, 21, 47, 45, 73,
    479, 653, 1553, 695, 3131, 8773, 20303, 1, 3, 1, 1, 19, 31, 25, 207, 361,
    961, 1595, 1807, 3649, 1029, 31579, 1, 1, 1, 1, 27, 23, 109, 111, 477, 233,
    1305, 51, 4517, 14867, 4075, 1, 1, 7, 11, 21, 5, 51, 9, 131, 671, 191,
    4045, 7773, 5037, 23229, 1, 1, 5, 7, 3, 57, 75, 141, 439, 269, 99, 1595,
    3597, 10183, 19849, 1, 1, 3, 3, 17, 61, 81, 75, 471, 1023, 1045, 849, 3741,
    12803, 10735, 1, 1, 7, 11, 3, 33, 79, 113, 335, 245, 1807, 1927, 7381, 6405,
    20035, 1, 3, 1, 11, 5, 37, 31, 177, 233, 937, 1655, 511, 1109, 5083, 31325,
    1, 3, 5, 15, 15, 35, 125, 105, 313, 553, 259, 1433, 327, 2079, 5279, 1,
    3, 1, 1, 25, 57, 121, 189, 409, 459, 749, 3159, 6389, 4141, 16463, 1, 1,
    7, 15, 7, 21, 113, 139, 241, 617, 1385, 1387, 145, 6605, 2057, 1, 3, 3,
    11, 17, 33, 89, 17, 341, 369, 719, 2481, 7589, 16283, 28157, 1, 3, 7, 1,
    11, 17, 31, 135, 333, 335, 197, 2401, 7637, 703, 3001, 1, 3, 5, 11, 17,
    31, 33, 249, 315, 475, 1743, 2429, 4923, 2779, 25677, 1, 1, 5, 5, 11, 29,
    111, 103, 143, 779, 1437, 3759, 5827, 3129, 26961, 1, 3, 5, 3, 25, 1, 109,
    117, 159, 53, 1291, 1787, 7851, 14363, 15271, 1, 1, 1, 9, 9, 1, 31, 131,
    163, 723, 1023, 27, 853, 2623, 16859, 1, 1, 3, 11, 23, 13, 91, 87, 141,
    111, 1677, 1483, 1461, 15981, 29417, 1, 3, 7, 9, 17, 17, 115, 43, 397, 683,
    2017, 985, 3703, 16135, 3661, 1, 1, 7, 13, 17, 45, 71, 149, 317, 559, 279,
    2441, 2323, 16071, 29709, 1, 3, 5, 11, 31, 33, 105, 127, 375, 1001, 115, 1429,
    7003, 13369, 23281, 1, 1, 5, 7, 21, 7, 27, 105, 99, 479, 849, 1361, 4935,
    14831, 29, 1, 3, 7, 9, 15, 53, 63, 109, 171, 323, 289, 2937, 3177, 4615,
    10711, 1, 1, 1, 1, 27, 41, 29, 101, 209, 673, 1597, 3743, 827, 4025, 27267,
    1, 3, 7, 13, 25, 17, 19, 219, 233, 769, 909, 3585, 55, 13349, 13685, 1,
    1, 1, 15, 17, 57, 63, 181, 339, 319, 655, 699, 1633, 8181, 23039, 1, 1,
    3, 1, 25, 11, 61, 195, 311, 723, 365, 2791, 1281, 9113, 26741, 1, 1, 7,
    11, 19, 43, 65, 37, 89, 847, 951, 851, 4441, 6681, 917, 1, 3, 5, 13,
    1, 11, 55, 29, 419, 769, 815, 1487, 2151, 7981, 19509, 1, 1, 5, 13, 11,
    55, 127, 19, 419, 679, 119, 1417, 1717, 5849, 6365, 1, 1, 7, 5, 29, 5,
    9, 241, 405, 253, 1015, 2027, 7695, 12003, 659, 1, 3, 7, 5, 27, 63, 87,
    221, 219, 355, 941, 3901, 6535, 4715, 3571, 1, 3, 3, 9, 13, 1, 113, 21,
    71, 353, 1063, 1447, 2157, 5195, 21311, 1, 1, 3, 15, 29, 1, 7, 223, 43,
    605, 1063, 67, 2529, 1125, 16933, 1, 3, 1, 15, 29, 37, 51, 239, 117, 351,
    1953, 1933, 6371, 13467, 8265, 1, 1, 3, 5, 7, 25, 19, 221, 409, 121, 89,
    219, 105, 4213, 1903, 1, 3, 7, 1, 13, 3, 79, 123, 423, 589, 1085, 3387,
    6117, 8749, 8947, 1, 3, 7, 9, 21, 49, 1, 39, 461, 115, 1131, 719, 3709,
    1495, 23871, 1, 1, 7, 5, 23, 41, 107, 225, 499, 721, 1977, 2063, 1825, 9589,
    22137, 1, 1, 5, 7, 15, 53, 33, 145, 179, 109, 425, 2729, 7637, 6805, 26223,
    1, 1, 5, 13, 1, 1, 31, 117, 25, 427, 681, 2991, 7681, 15927, 20913, 1,
    1, 5, 13, 31, 53, 23, 71, 397, 661, 131, 2815, 2351, 15881, 10321, 1, 3,
    1, 15, 19, 41, 39, 57, 349, 761, 1999, 1151, 201, 1025, 18821, 1, 1, 3,
    3, 17, 43, 73, 163, 187, 913, 31, 81, 4829, 6993, 32175, 1, 3, 1, 15,
    19, 41, 79, 13, 343, 415, 863, 1943, 2231, 11353, 15631, 1, 3, 1, 15, 29,
    35, 101, 23, 111, 937, 833, 2369, 3503, 6605, 14279, 1, 3, 7, 15, 27, 61,
    43, 211, 259, 583, 1529, 1013, 8005, 7717, 1085, 1, 1, 7, 15, 23, 39, 17,
    201, 465, 289, 1051, 33, 7403, 7971, 24905, 1, 1, 5, 13, 23, 41, 5, 239,
    9, 23, 1353, 2005, 2513, 8707, 3893, 1, 3, 1, 7, 7, 41, 73, 177, 351,
    297, 1057, 3867, 2481, 15751, 25231, 1, 1, 3, 1, 17, 59, 45, 171, 367, 575,
    1085, 953, 3467, 8435, 6345, 1, 3, 1, 9, 5, 21, 125, 137, 415, 101, 121,
    3499, 6671, 15541, 14081, 1, 3, 5, 15, 15, 19, 111, 235, 53, 119, 1307, 583,
    1695, 211, 5567, 1, 1, 5, 9, 7, 13, 119, 109, 273, 677, 2001, 3307, 7999,
    11769, 10069, 1, 1, 1, 15, 11, 15, 57, 233, 77, 815, 31, 669, 6365, 5085,
    13583, 1, 3, 7, 1, 31, 9, 101, 33, 13, 699, 637, 1159, 5101, 13805, 32651,
    1, 1, 7, 13, 15, 9, 125, 71, 241, 147, 529, 1863, 1551, 4981, 30389, 1,
    1, 7, 13, 11, 35, 11, 5, 473, 55, 1589, 2835, 3771, 11433, 11099, 1, 1,
    7, 15, 11, 11, 35, 207, 267, 289, 999, 3183, 3827, 6617, 29015, 1, 1, 3,
    1, 3, 11, 119, 223, 255, 319, 1823, 1301, 4401, 12827, 889, 1, 3, 5, 1,
    1, 5, 5, 109, 27, 963, 727, 335, 6295, 9775, 32681, 1, 3, 7, 15, 29,
    47, 55, 253, 281, 303, 857, 903, 2977, 14777, 31689, 1, 3, 1, 7, 17, 49,
    105, 155, 467, 467, 1287, 1281, 3429, 3195, 15297, 1, 3, 1, 1, 27, 31, 17,
    201, 23, 897, 1991, 2661, 645, 16127, 30857, 1, 3, 3, 11, 9, 15, 85, 183,
    31, 179, 779, 171, 5989, 7253, 15077, 1, 1, 1, 5, 19, 23, 37, 39, 281,
    707, 17, 2707, 289, 12081, 4381, 1, 1, 7, 9, 21, 27, 115, 179, 99, 277,
    331, 3407, 2057, 13893, 11501, 1, 3, 1, 9, 31, 51, 51, 25, 319, 319, 27,
    2161, 89, 3421, 18273, 1, 1, 7, 15, 13, 21, 11, 189, 63, 15, 363, 1951,
    5751, 5797, 22123, 1, 1, 3, 1, 25, 47, 99, 77, 77, 595, 1473, 1653, 6751,
    5005, 29051, 1, 1, 3, 7, 25, 47, 31, 13, 311, 269, 1095, 1359, 305, 6811,
    16455, 1, 1, 5, 3, 13, 63, 87, 13, 221, 459, 1177, 891, 5781, 13803, 18795,
    1, 1, 7, 3, 23, 13, 25, 115, 47, 903, 1551, 2887, 229, 16067, 9511, 1,
    1, 7, 15, 23, 15, 7, 65, 27, 677, 1503, 125, 7739, 14655, 29577, 1, 1,
    1, 5, 9, 23, 93, 187, 205, 915, 599, 2105, 7767, 2411, 15045, 1, 3, 5,
    1, 21, 45, 17, 57, 171, 491, 1465, 2013, 3253, 5517, 19113, 1, 1, 7, 5,
    5, 25, 87, 247, 301, 385, 1655, 1351, 6307, 14695, 29745, 1, 3, 7, 3, 31,
    25, 113, 155, 123, 755, 649, 1809, 1703, 875, 5235, 1, 1, 1, 7, 7, 43,
    121, 47, 499, 63, 449, 2039, 835, 2883, 2287, 1, 3, 7, 1, 9, 11, 99,
    169, 305, 469, 157, 2043, 4851, 3367, 8689, 1, 1, 1, 11, 17, 15, 41, 209,
    377, 81, 335, 1685, 143, 1513, 28465, 1, 3, 1, 15, 9, 45, 83, 123, 347,
    437, 783, 3561, 6003, 9329, 4729, 1, 1, 1, 1, 13, 33, 109, 217, 403, 539,
    1393, 1069, 235, 11261, 13423, 1, 1, 5, 13, 27, 1, 81, 139, 421, 301, 55,
    1883, 1525, 6029, 1879, 1, 1, 1, 15, 15, 55, 49, 249, 487, 373, 737, 2133,
    6883, 1603, 27607, 1, 1, 1, 13, 25, 17, 17, 15, 119, 571, 1053, 2153, 5221,
    2681, 24595, 1, 3, 1, 5, 3, 63, 31, 9, 263, 977, 575, 1225, 4127, 15649,
    1281, 1, 1, 7, 9, 19, 1, 37, 109, 13, 191, 1483, 465, 1321, 13697, 26065,
    1, 1, 3, 9, 17, 15, 103, 97, 237, 861, 1251, 2069, 4459, 9999, 7369, 1,
    3, 7, 9, 15, 33, 55, 5, 355, 519, 445, 4033, 627, 2375, 31013, 1, 1,
    1, 3, 23, 51, 65, 177, 225, 63, 987, 2921, 823, 1781, 22923, 1, 3, 5,
    7, 27, 33, 111, 47, 465, 379, 1575, 1793, 513, 14033, 27409, 1, 3, 5, 7,
    1, 57, 31, 195, 393, 257, 1489, 2589, 5339, 7487, 29023, 1, 3, 5, 11, 15,
    27, 39, 89, 387, 753, 1213, 2417, 6287, 129, 12295, 1, 1, 3, 11, 11, 37,
    117, 55, 55, 677, 1057, 3971, 5017, 12941, 3001, 1, 3, 1, 7, 21, 33, 103,
    19, 427, 637, 393, 2245, 2853, 15927, 14633, 1, 1, 5, 7, 31, 11, 75, 191,
    367, 659, 121, 2947, 515, 10625, 19753, 1, 1, 5, 5, 15, 63, 115, 119, 85,
    527, 875, 67, 475, 2207, 4101, 1, 3, 3, 9, 23, 37, 53, 187, 37, 535,
    509, 1765, 6577, 13249, 3875, 1, 3, 3, 5, 13, 49, 23, 193, 109, 295, 309,
    2457, 4193, 9927, 16313, 1, 3, 3, 5, 5, 15, 33, 69, 225, 231, 131, 3135,
    3597, 2989, 12365, 1, 3, 7, 1, 27, 33, 9, 139, 507, 789, 663, 1693, 949,
    9149, 29529, 1, 1, 7, 7, 11, 1, 57, 159, 511, 929, 1337, 2181, 5573, 425,
    26935, 1, 1, 5, 9, 15, 53, 57, 81, 105, 389, 1563, 1, 669, 8403, 15747,
    1, 3, 3, 5, 19, 21, 29, 133, 203, 689, 2011, 1825, 3365, 1957, 21393, 1,
    1, 3, 15, 7, 11, 73, 189, 63, 81, 1429, 3403, 4249, 16265, 22423, 1, 1,
    5, 1, 31, 47, 75, 199, 343, 957, 691, 939, 2165, 10523, 3577, 1, 1, 7,
    13, 3, 27, 5, 131, 437, 405, 1809, 2637, 5735, 12897, 22905, 1, 1, 5, 1,
    17, 17, 85, 161, 205, 81, 1125, 1783, 2241, 6321, 10891, 1, 3, 7, 15, 27,
    7, 119, 61, 383, 171, 1495, 1237, 729, 1977, 11779, 1, 1, 5, 7, 21, 3,
    63, 167, 493, 117, 855, 143, 2579, 7527, 7395, 1, 1, 1, 9, 31, 61, 15,
    31, 445, 397, 1369, 1047, 4751, 10375, 30319, 1, 3, 1, 15, 7, 13, 87, 99,
    333, 433, 287, 2861, 2085, 14691, 14801, 1, 3, 3, 7, 27, 45, 41, 69, 391,
    259, 899, 1019, 2999, 6487, 19831, 1, 3, 5, 11, 19, 33, 49, 87, 89, 649,
    1209, 43, 8035, 12687, 24783, 1, 3, 1, 9, 13, 11, 55, 5, 315, 347, 1361,
    41, 807, 11551, 499, 1, 1, 7, 1, 25, 15, 11, 19, 233, 269, 135, 2577,
    4385, 8109, 13161, 1, 3, 1, 9, 19, 13, 127, 79, 49, 525, 1499, 1209, 3747,
    8311, 15061, 1, 3, 1, 15, 9, 47, 59, 81, 491, 401, 1691, 543, 7129, 13617,
    17031, 1, 3, 3, 5, 15, 51, 41, 85, 245, 91, 1293, 2041, 7205, 12709, 17421,
    1, 3, 1, 5, 3, 19, 29, 149, 51, 133, 953, 2385, 7471, 14829, 8197, 1,
    3, 1, 11, 31, 15, 5, 139, 299, 595, 1585, 2115, 5647, 12125, 1265, 1, 3,
    7, 9, 7, 5, 93, 187, 307, 329, 671, 3983, 817, 3965, 21561, 1, 3, 7,
    1, 21, 57, 67, 159, 467, 65, 1365, 2797, 7051, 12603, 10429, 1, 3, 1, 7,
    27, 59, 113, 199, 13, 393, 1605, 3215, 5233, 12749, 32365, 1, 3, 1, 1, 1,
    13, 15, 217, 317, 945, 1713, 1951, 5585, 1529, 4969, 1, 1, 7, 15, 3, 59,
    23, 255, 71, 539, 21, 2603, 5145, 295, 2681, 1, 1, 1, 13, 11, 41, 85,
    145, 209, 1001, 659, 951, 4039, 1409, 4059, 1, 1, 7, 13, 15, 41, 15, 121,
    485, 515, 325, 3673, 2883, 8119, 29183, 1, 3, 3, 13, 21, 39, 31, 163, 13,
    219, 411, 2061, 1999, 2999, 24835, 1, 3, 7, 7, 21, 49, 9, 75, 401, 339,
    191, 2679, 7483, 1361, 21399, 1, 3, 1, 13, 5, 29, 9, 77, 459, 247, 1777,
    3873, 6747, 7541, 12015, 1, 1, 5, 9, 23, 27, 55, 51, 389, 63, 1163, 255,
    6049, 1737, 12403, 1, 1, 7, 3, 23, 25, 81, 247, 261, 445, 1297, 1945, 2769,
    1287, 24403, 1, 1, 5, 15, 19, 13, 127, 105, 475, 859, 683, 941, 2911, 14571,
    22769, 1, 1, 1, 13, 31, 25, 55, 63, 355, 525, 397, 3213, 2267, 2731, 32145,
    1, 1, 5, 15, 3, 21, 45, 229, 83, 661, 149, 1615, 5309, 12233, 23101, 1,
    1, 7, 1, 15, 41, 91, 17, 119, 65, 1921, 97, 6521, 8969, 5419, 1, 1,
    7, 11, 31, 35, 73, 123, 331, 83, 125, 3001, 5485, 1693, 24327, 1, 3, 5,
    15, 29, 37, 63, 229, 143, 529, 961, 2845, 8003, 7741, 23393, 1, 3, 1, 15,
    25, 27, 91, 171, 361, 575, 1977, 2141, 89, 7097, 8115, 1, 3, 7, 15, 13,
    7, 51, 253, 17, 991, 595, 1819, 7091, 8619, 1147, 1, 3, 3, 7, 13, 31,
    41, 11, 57, 185, 1353, 907, 6585, 8597, 10239, 1, 3, 1, 11, 31, 1, 119,
    165, 105, 725, 493, 3279, 7117, 15141, 5957, 1, 3, 3, 13, 29, 1, 35, 95,
    477, 847, 733, 2599, 581, 6487, 10879, 1, 3, 7, 3, 15, 23, 115, 177, 409,
    711, 1179, 685, 4071, 15129, 2951, 1, 1, 3, 11, 19, 5, 69, 33, 41, 501,
    135, 1063, 4857, 15537, 29247, 1, 3, 5, 13, 1, 25, 123, 1, 431, 399, 483,
    3159, 7359, 6169, 22525, 1, 3, 5, 7, 1, 9, 125, 131, 99, 911, 421, 1403,
    993, 14155, 20863, 1, 3, 1, 3, 1, 43, 93, 9, 345, 483, 1809, 2379, 653,
    14851, 20619, 1, 3, 7, 5, 15, 37, 33, 185, 173, 397, 2021, 613, 37, 7185,
    15399, 1, 3, 5, 5, 17, 55, 119, 207, 301, 461, 1853, 2471, 3611, 1149, 3321,
    1, 3, 3, 3, 25, 57, 51, 135, 337, 935, 619, 1165, 1613, 8711, 2329, 1,
    3, 1, 15, 27, 25, 63, 127, 169, 221, 1103, 1087, 1729, 3967, 6323, 1, 1,
    3, 11, 13, 29, 105, 189, 321, 103, 2047, 923, 4443, 2175, 12411, 1, 1, 7,
    9, 7, 3, 3, 61, 479, 533, 227, 3137, 6065, 3621, 3583, 1, 1, 5, 13,
    11, 31, 23, 147, 67, 823, 663, 3717, 6747, 10935, 21931, 1, 1, 5, 13, 29,
    9, 75, 31, 349, 603, 1071, 1767, 1811, 15921, 25681, 1, 3, 7, 13, 29, 31,
    57, 15, 405, 263, 715, 445, 1825, 15057, 3449, 1, 3, 5, 5, 5, 21, 61,
    137, 15, 935, 897, 125, 6651, 6813, 27863, 1, 1, 3, 13, 9, 53, 5, 91,
    93, 179, 489, 3615, 5911, 7501, 14205, 1, 1, 5, 13, 27, 49, 35, 93, 371,
    519, 589, 1563, 2609, 14055, 28071, 1, 1, 5, 7, 29, 41, 23, 135, 491, 745,
    1327, 4065, 6327, 6375, 24901, 1, 3, 3, 5, 23, 47, 113, 85, 453, 321, 597,
    1817, 7579, 11633, 25569, 1, 3, 1, 13, 13, 55, 127, 47, 159, 885, 235, 199,
    3133, 9793, 25877, 1, 1, 3, 9, 17, 21, 27, 237, 413, 999, 451, 3279, 1607,
    9625, 16943, 1, 3, 1, 1, 21, 61, 29, 143, 33, 235, 1591, 2379, 3573, 1399,
    16215, 1, 1, 7, 1, 29, 23, 95, 207, 87, 199, 1389, 3587, 71, 14401, 28431,
    1, 1, 5, 13, 23, 43, 109, 119, 151, 451, 23, 2709, 3125, 11541, 3923, 1,
    3, 7, 3, 11, 55, 5, 227, 171, 465, 1685, 333, 2605, 15055, 8333, 1, 3,
    5, 3, 21, 11, 57, 37, 67, 667, 521, 2961, 6145, 12527, 17433, 1, 1, 7,
    11, 9, 39, 103, 83, 313, 827, 721, 2965, 3231, 10121, 19991, 1, 1, 5, 7,
    23, 9, 31, 39, 7, 767, 153, 2969, 5539, 6581, 30515, 1, 1, 3, 13, 3,
    43, 49, 143, 3, 227, 99, 597, 7207, 4737, 2259, 1, 3, 3, 3, 3, 57,
    69, 243, 199, 803, 657, 1209, 1343, 11673, 21543, 1, 1, 1, 1, 17, 27, 127,
    107, 171, 391, 1737, 1247, 1389, 14387, 1671, 1, 3, 3, 9, 23, 47, 97, 139,
    435, 943, 1111, 2723, 1021, 1155, 10241, 1, 3, 3, 13, 15, 15, 101, 205, 229,
    639, 1077, 1613, 3035, 12897, 14303, 1, 1, 1, 9, 17, 43, 3, 81, 149, 931,
    731, 4005, 7397, 8707, 27927, 1, 3, 7, 15, 19, 59, 97, 97, 347, 489, 1577,
    3927, 3431, 4051, 8489, 1, 1, 5, 3, 29, 49, 19, 151, 27, 701, 541, 481,
    101, 10701, 31909, 1, 1, 1, 9, 11, 47, 59, 45, 439, 757, 1579, 1681, 6701,
    11707, 10715, 1, 3, 3, 11, 27, 55, 1, 35, 491, 767, 1247, 1143, 5079, 8029,
    10267, 1, 3, 3, 1, 15, 5, 53, 215, 249, 659, 329, 1959, 249, 11775, 4815,
    1, 3, 7, 15, 19, 17, 41, 29, 157, 995, 235, 1397, 3983, 11739, 7523, 1,
    3, 5, 5, 13, 3, 55, 211, 59, 717, 1389, 3219, 2279, 9583, 16981, 1, 3,
    5, 11, 31, 41, 95, 217, 375, 255, 1433, 1595, 5795, 11893, 16665, 1, 3, 1,
    13, 15, 45, 19, 125, 387, 1017, 1075, 3469, 7873, 9135, 28215, 1, 3, 7, 5,
    23, 41, 35, 171, 159, 545, 2043, 887, 8167, 8977, 30985, 1, 3, 1, 3, 21,
    17, 31, 171, 45, 979, 757, 3839, 4221, 8659, 7005, 1, 3, 3, 1, 3, 23,
    81, 157, 385, 233, 527, 2357, 7299, 10977, 16285, 1, 1, 7, 13, 23, 27, 31,
    211, 451, 211, 45, 2239, 981, 14279, 14515, 1, 3, 1, 5, 13, 61, 17, 197,
    455, 457, 2023, 1809, 4243, 3269, 7159, 1, 1, 5, 5, 9, 61, 49, 111, 281,
    827, 1155, 3107, 5761, 12043, 3061, 1, 1, 1, 5, 19, 29, 63, 209, 207, 503,
    1563, 2539, 5115, 12939, 22977, 1, 3, 7, 5, 31, 33, 91, 45, 399, 263, 53,
    2723, 7909, 7125, 14795, 1, 1, 7, 11, 9, 5, 119, 91, 87, 847, 85, 4025,
    1891, 791, 30447, 1, 1, 1, 1, 25, 59, 101, 85, 159, 491, 635, 1047, 6221,
    11579, 13943, 1, 3, 7, 3, 27, 55, 19, 29, 479, 299, 1705, 3505, 6811, 14851,
    6827, 1, 1, 1, 9, 23, 19, 47, 235, 81, 35, 1297, 2029, 1303, 6877, 30813,
    1, 3, 1, 11, 21, 37, 49, 209, 93, 439, 2023, 437, 6405, 2407, 10475, 1,
    1, 3, 3, 5, 51, 11, 127, 339, 419, 1495, 43, 5707, 3905, 331, 1, 1,
    5, 15, 27, 7, 73, 137, 111, 283, 1017, 1487, 7359, 4921, 3285, 1, 1, 1,
    9, 3, 23, 123, 75, 317, 517, 109, 2307, 1095, 10309, 27651, 1, 3, 1, 1,
    21, 55, 5, 115, 483, 379, 1935, 3483, 2485, 1991, 2403, 1, 3, 5, 9, 27,
    57, 1, 227, 235, 373, 241, 1115, 3037, 6841, 28711, 1, 3, 1, 13, 21, 27,
    19, 217, 449, 727, 475, 515, 7933, 4401, 5455, 1, 3, 5, 13, 27, 3, 117,
    67, 293, 625, 1463, 3713, 1271, 11873, 24239, 1, 1, 3, 1, 7, 25, 5, 187,
    377, 15, 1973, 597, 725, 8809, 2419, 1, 1, 7, 13, 7, 9, 89, 41, 443,
    921, 17, 3675, 715, 7147, 25345, 1, 1, 5, 1, 31, 27, 127, 139, 101, 349,
    1551, 1703, 5981, 3259, 31203, 1, 1, 1, 5, 31, 59, 1, 149, 111, 947, 1919,
    2841, 5383, 6973, 19565, 1, 3, 3, 11, 5, 57, 65, 197, 413, 741, 1737, 1333,
    5101, 14375, 28969, 1, 1, 1, 3, 5, 21, 31, 187, 51, 267, 539, 1305, 4085,
    14735, 9441, 1, 1, 7, 1, 9, 27, 123, 13, 383, 739, 649, 1253, 4697, 9571,
    16983, 1, 3, 1, 11, 23, 3, 31, 153, 185, 969, 329, 3919, 3905, 14321, 16535,
    1, 1, 1, 5, 15, 31, 97, 243, 117, 269, 1545, 1495, 167, 14281, 1369, 1,
    1, 1, 1, 7, 47, 9, 187, 233, 629, 1981, 2327, 7473, 14641, 31829, 1, 1,
    1, 11, 11, 43, 117, 193, 395, 501, 1213, 3499, 3369, 817, 22069, 1, 3, 7,
    1, 13, 63, 67, 67, 119, 371, 1887, 1281, 129, 14277, 5213, 1, 3, 1, 11,
    11, 57, 47, 149, 119, 547, 389, 1977, 1709, 2335, 7023, 1, 1, 7, 7, 15,
    41, 19, 57, 279, 737, 29, 2015, 1103, 4933, 26145, 1, 3, 1, 1, 23, 61,
    17, 1, 309, 637, 809, 3443, 135, 6851, 27321, 1, 3, 1, 3, 21, 63, 81,
    131, 495, 209, 1901, 2921, 1021, 7207, 22053, 1, 1, 7, 9, 7, 63, 1, 119,
    329, 553, 1405, 97, 4751, 6955, 20049, 1, 3, 7, 15, 1, 59, 99, 201, 487,
    271, 2035, 3261, 4953, 15257, 11835, 1, 1, 5, 11, 27, 21, 27, 227, 331, 779,
    1003, 2291, 7139, 14125, 14371, 1, 1, 3, 13, 15, 43, 23, 183, 463, 273, 1707,
    2001, 3219, 14481, 751, 1, 1, 5, 5, 23, 31, 51, 39, 221, 687, 2003, 1251,
    3541, 6347, 551, 1, 1, 7, 3, 17, 51, 3, 57, 131, 13, 2027, 3301, 4223,
    6499, 30913, 1, 1, 7, 13, 11, 47, 53, 205, 59, 315, 1595, 3747, 2623, 7317,
    8309, 1, 3, 1, 11, 13, 45, 83, 131, 193, 739, 61, 1657, 3789, 9859, 3755,
    1, 3, 7, 11, 25, 7, 123, 103, 307, 463, 1113, 2245, 2819, 12983, 18077, 1,
    1, 1, 1, 7, 23, 103, 183, 409, 657, 583, 583, 5449, 7397, 13085, 1, 3,
    3, 5, 3, 61, 31, 147, 31, 449, 1579, 4021, 1163, 9719, 27079, 1, 3, 1,
    3, 9, 53, 125, 77, 99, 863, 1719, 51, 4183, 13009, 791, 1, 3, 3, 11,
    27, 33, 43, 5, 173, 775, 593, 3701, 3323, 6481, 25765, 1, 1, 7, 15, 11,
    3, 109, 221, 375, 883, 903, 2361, 255, 12851, 16697, 1, 1, 5, 9, 3, 61,
    127, 89, 213, 71, 303, 2525, 3691, 2945, 12359, 1, 3, 1, 13, 19, 15, 7,
    231, 159, 275, 1161, 819, 3003, 12707, 20699, 1, 1, 3, 1, 31, 51, 125, 21,
    27, 427, 941, 237, 4343, 9555, 30511, 1, 3, 3, 9, 17, 23, 105, 21, 471,
    357, 773, 1185, 2655, 2317, 9969, 1, 1, 5, 7, 15, 55, 87, 249, 111, 319,
    985, 2305, 1641, 12655, 7321, 1, 3, 5, 3, 23, 49, 85, 31, 299, 391, 549,
    3831, 1413, 13803, 30599, 1, 1, 3, 3, 31, 39, 43, 253, 67, 321, 463, 2327,
    6831, 10461, 18077, 1, 3, 1, 9, 13, 13, 127, 175, 425, 567, 1663, 195, 1763,
    13271, 1739, 1, 1, 7, 9, 9, 33, 11, 167, 87, 901, 1625, 2055, 2475, 7241,
    29717, 1, 1, 1, 1, 15, 63, 127, 29, 227, 817, 637, 1873, 4885, 16299, 31243,
    1, 3, 7, 3, 17, 27, 81, 237, 283, 161, 1905, 1551, 6171, 4519, 11047, 1,
    1, 7, 9, 25, 23, 25, 1, 461, 623, 493, 827, 5795, 16065, 8401, 1, 3,
    5, 11, 29, 29, 91, 133, 91, 565, 1821, 269, 1731, 1499, 7975, 1, 1, 1,
    13, 3, 41, 99, 23, 239, 945, 219, 1127, 4919, 9713, 3321, 1, 3, 1, 11,
    25, 59, 59, 127, 83, 643, 881, 1671, 3521, 459, 15479, 1, 1, 5, 11, 15,
    23, 111, 225, 145, 703, 1643, 419, 4853, 7195, 20879, 1, 3, 7, 15, 5, 31,
    111, 151, 489, 629, 473, 1507, 117, 15305, 11011, 1, 1, 3, 3, 1, 55, 55,
    223, 489, 911, 1721, 3533, 5893, 2891, 8929, 1, 1, 5, 13, 7, 43, 113, 99,
    19, 681, 1765, 1983, 5477, 7531, 26507, 1, 1, 3, 1, 9, 7, 77, 231, 345,
    745, 285, 3213, 2611, 4449, 24621, 1, 1, 5, 1, 21, 21, 3, 11, 131, 327,
    1893, 33, 6947, 337, 8877, 1, 1, 5, 13, 5, 11, 41, 7, 447, 625, 1231,
    3621, 3785, 12351, 13829, 1, 3, 1, 13, 29, 41, 11, 63, 357, 723, 1657, 91,
    1373, 6383, 8327, 1, 3, 3, 15, 23, 51, 85, 113, 103, 499, 1669, 3685, 63,
    2853, 20859, 1, 1, 5, 11, 31, 39, 15, 103, 365, 231, 443, 3213, 6951, 1715,
    32301, 1, 3, 7, 5, 19, 23, 13, 127, 475, 281, 1095, 473, 4955, 2217, 10427,
    1, 1, 5, 13, 17, 41, 47, 121, 131, 69, 1747, 3679, 2765, 4349, 32041, 1,
    1, 7, 9, 3, 47, 11, 127, 321, 669, 1283, 797, 6393, 12351, 5161, 1, 3,
    7, 15, 21, 37, 73, 15, 393, 173, 1461, 1437, 2367, 7171, 15123, 1, 3, 5,
    15, 7, 57, 29, 83, 241, 221, 1607, 1291, 4839, 11293, 1837, 1, 3, 5, 7,
    1, 31, 59, 143, 487, 317, 535, 1505, 3705, 9947, 6149, 1, 3, 1, 3, 29,
    31, 69, 63, 183, 173, 1965, 3331, 4473, 993, 4937, 1, 1, 1, 15, 13, 13,
    55, 43, 283, 897, 1019, 2761, 3237, 14661, 12309, 1, 3, 1, 15, 9, 15, 1,
    19, 227, 777, 1713, 3471, 2917, 1117, 16397, 1, 1, 1, 1, 21, 19, 49, 3,
    477, 659, 61, 2373, 6363, 13771, 5675, 1, 3, 3, 3, 13, 23, 43, 253, 483,
    975, 1629, 19, 6339, 13963, 6065, 1, 3, 7, 3, 9, 31, 65, 1, 311, 67,
    293, 667, 3685, 3589, 25251, 1, 1, 3, 1, 29, 31, 47, 85, 431, 131, 1495,
    1271, 6121, 7183, 20477, 1, 1, 7, 5, 13, 37, 83, 201, 277, 643, 19, 2519,
    2589, 2471, 19727, 1, 3, 5, 13, 27, 13, 97, 183, 463, 639, 87, 181, 747,
    3715, 16207, 1, 1, 7, 3, 9, 29, 21, 191, 485, 211, 541, 69, 511, 9923,
    24543, 1, 3, 5, 9, 19, 43, 85, 189, 47, 723, 1211, 1259, 1645, 2983, 27195,
    1, 1, 7, 15, 17, 25, 103, 83, 389, 229, 1457, 4045, 161, 15471, 19929, 1,
    1, 3, 9, 5, 27, 55, 231, 245, 723, 479, 3761, 787, 12939, 30227, 1, 3,
    3, 1, 19, 39, 63, 27, 137, 399, 1353, 1143, 5835, 2013, 4107, 1, 3, 5,
    7, 5, 39, 45, 207, 7, 131, 961, 1715, 3761, 11501, 9803, 1, 3, 1, 7,
    17, 11, 23, 45, 417, 289, 1545, 2585, 1345, 15529, 8365, 1, 1, 1, 7, 21,
    27, 97, 23, 461, 983, 997, 1321, 2551, 5485, 23565, 1, 1, 5, 5, 23, 19,
    77, 103, 171, 553, 1767, 3255, 7955, 249, 32681, 1, 1, 7, 1, 23, 43, 73,
    15, 381, 245, 1389, 3693, 1975, 13629, 2079, 1, 1, 7, 11, 23, 61, 79, 39,
    345, 541, 875, 1375, 123, 15305, 13731, 1, 1, 3, 15, 3, 17, 19, 11, 79,
    415, 1791, 447, 6529, 11243, 10427, 1, 1, 7, 15, 9, 31, 121, 247, 403, 935,
    705, 2921, 3769, 625, 22905, 1, 3, 5, 15, 19, 9, 5, 47, 135, 585, 1155,
    1517, 4961, 15725, 7585, 1, 3, 3, 7, 19, 57, 37, 69, 117, 485, 115, 2709,
    1909, 12781, 19323, 1, 1, 1, 5, 7, 1, 37, 39, 141, 1017, 993, 191, 6173,
    8083, 9733, 1, 1, 7, 3, 3, 21, 17, 55, 129, 353, 673, 3233, 6289, 10955,
    19357, 1, 3, 7, 11, 31, 31, 31, 105, 187, 839, 733, 1795, 5075, 1053, 613,
    1, 3, 3, 1, 9, 9, 23, 139, 417, 431, 1943, 3067, 267, 4401, 9847, 1,
    3, 5, 11, 23, 61, 61, 119, 383, 869, 503, 195, 1935, 4617, 21393, 1, 1,
    1, 5, 7, 15, 51, 53, 427, 499, 1829, 2533, 3029, 12485, 28425, 1, 3, 3,
    7, 9, 11, 55, 205, 255, 619, 1323, 1983, 15, 4237, 20983, 1, 1, 3, 15,
    15, 37, 109, 247, 179, 1005, 1111, 77, 4533, 12849, 25601, 1, 1, 5, 3, 15,
    25, 59, 117, 55, 755, 681, 649, 6041, 1695, 13719, 1, 3, 1, 3, 15, 17,
    117, 113, 197, 701, 773, 1097, 1267, 16093, 21555, 1, 3, 1, 5, 9, 57, 39,
    171, 449, 507, 29, 3581, 1929, 12715, 24575, 1, 3, 5, 5, 23, 1, 67, 153,
    375, 333, 379, 3163, 8121, 13465, 27641, 1, 3, 5, 5, 31, 27, 83, 243, 415,
    997, 1787, 4021, 5955, 1861, 10511, 1, 3, 1, 3, 13, 47, 69, 169, 185, 645,
    1857, 3487, 1557, 9589, 7971, 1, 3, 3, 15, 3, 1, 93, 97, 71, 433, 1371,
    2495, 8171, 9101, 32435, 1, 3, 7, 11, 3, 29, 37, 167, 169, 15, 1575, 1331,
    7163, 1555, 32439, 1, 1, 5, 1, 29, 11, 83, 135, 367, 37, 1455, 3939, 3383,
    5291, 14269, 1, 1, 5, 15, 7, 63, 17, 45, 259, 57, 1933, 3101, 7871, 12633,
    15789, 1, 1, 1, 7, 19, 37, 89, 159, 487, 101, 1551, 3703, 4323, 9153, 6155,
    1, 3, 3, 13, 15, 49, 81, 51, 267, 761, 863, 2239, 7683, 15491, 28655, 1,
    3, 1, 1, 25, 53, 113, 117, 11, 1003, 539, 3603, 1007, 11329, 15099, 1, 3,
    5, 7, 9, 27, 125, 231, 301, 461, 2031, 183, 6361, 10811, 29425, 1, 1, 3,
    1, 3, 37, 65, 127, 487, 611, 867, 2361, 5243, 11829, 31297, 1, 3, 3, 15,
    9, 39, 31, 219, 77, 97, 1061, 435, 2449, 14751, 20273, 1, 1, 5, 11, 1,
    23, 41, 239, 183, 287, 969, 1325, 3553, 6751, 14679, 1, 3, 7, 1, 17, 61,
    47, 207, 509, 601, 1539, 345, 3723, 5415, 11667, 1, 1, 7, 7, 23, 33, 25,
    165, 345, 569, 983, 2857, 1563, 1737, 19285, 1, 1, 1, 7, 3, 43, 107, 229,
    223, 583, 1495, 3487, 7497, 10367, 20575, 1, 3, 3, 13, 21, 49, 17, 195, 115,
    797, 1489, 1587, 7847, 11013, 14547, 1, 3, 5, 11, 9, 29, 19, 245, 153, 779,
    1311, 425, 5809, 4457, 6905, 1, 1, 5, 3, 21, 33, 13, 193, 343, 971, 1315,
    1989, 1969, 9227, 8881, 1, 3, 7, 15, 3, 59, 87, 205, 261, 567, 557, 1143,
    6923, 9451, 20239, 1, 1, 1, 15, 29, 35, 127, 123, 173, 807, 1279, 2413, 1899,
    11657, 22257, 1, 3, 5, 3, 23, 35, 125, 129, 239, 951, 499, 1609, 4643, 339,
    26701, 1, 3, 3, 13, 9, 15, 23, 55, 105, 81, 591, 947, 3761, 7351, 25697,
    1, 1, 7, 13, 23, 17, 127, 149, 227, 1005, 839, 3391, 5761, 10431, 31899, 1,
    3, 1, 1, 23, 7, 11, 3, 77, 457, 375, 3823, 5447, 8339, 18847, 1, 3,
    7, 3, 29, 1, 19, 39, 23, 285, 569, 2979, 7029, 11311, 18269, 1, 1, 5,
    9, 21, 19, 85, 211, 437, 185, 597, 787, 4555, 2853, 18493, 1, 3, 3, 9,
    11, 27, 25, 245, 55, 869, 323, 3999, 2639, 9385, 26823, 1, 3, 1, 7, 19,
    61, 51, 111, 115, 721, 893, 23, 6375, 5101, 25567, 1, 3, 5, 9, 9, 13,
    9, 241, 297, 391, 1529, 3843, 737, 5897, 23469, 1, 3, 7, 3, 31, 53, 43,
    219, 81, 507, 1627, 3503, 817, 6533, 31633, 1, 1, 7, 1, 13, 59, 13, 185,
    387, 869, 1013, 2291, 4945, 11493, 7785, 1, 3, 5, 9, 31, 35, 11, 225, 235,
    893, 1749, 2393, 5317, 10069, 8569, 1, 1, 1, 3, 5, 15, 93, 25, 503, 205,
    65, 2563, 7971, 2917, 19687, 1, 3, 3, 13, 1, 37, 127, 63, 339, 121, 1895,
    1943, 7527, 15869, 20533, 1, 1, 5, 7, 19, 25, 87, 27, 279, 419, 1261, 613,
    7687, 5301, 6761, 1, 1, 1, 1, 13, 33, 59, 235, 471, 811, 695, 2727, 5615,
    6269, 13469, 1, 3, 1, 15, 17, 23, 123, 71, 15, 1005, 973, 411, 2627, 1967,
    25597, 1, 3, 5, 1, 3, 61, 71, 217, 377, 613, 1819, 141, 6265, 9223, 20635,
    1, 1, 5, 11, 15, 1, 39, 121, 83, 57, 1133, 3165, 7675, 13715, 11383, 1,
    3, 7, 15, 9, 3, 97, 223, 493, 77, 159, 2921, 5475, 9289, 20925, 1, 1,
    3, 7, 29, 13, 87, 219, 327, 879, 883, 1637, 3451, 13939, 8203, 1, 3, 7,
    15, 25, 21, 95, 129, 343, 9, 1415, 2965, 747, 7297, 24293, 1, 1, 1, 3,
    23, 47, 57, 31, 359, 1017, 769, 2761, 1933, 6091, 6475, 1, 1, 5, 9, 27,
    45, 125, 67, 145, 581, 157, 2153, 2727, 8025, 28165, 1, 3, 5, 9, 7, 53,
    27, 161, 343, 139, 1651, 1275, 2981, 9027, 31175, 1, 3, 3, 11, 7, 15, 81,
    229, 115, 849, 459, 1651, 3867, 7029, 6741, 1, 1, 3, 5, 31, 45, 17, 107,
    467, 401, 1473, 1953, 3779, 11237, 31257, 1, 3, 3, 11, 3, 27, 45, 217, 133,
    515, 1487, 1427, 1999, 12979, 3543, 1, 3, 7, 3, 17, 31, 123, 205, 263, 963,
    1697, 2453, 1249, 603, 8581, 1, 3, 1, 15, 23, 9, 23, 251, 489, 393, 1103,
    3273, 5703, 3033, 22631, 1, 3, 3, 13, 23, 29, 49, 233, 461, 795, 991, 3695,
    4715, 7211, 3695, 1, 3, 3, 15, 21, 11, 33, 69, 347, 535, 25, 3465, 2825,
    9345, 4485, 1, 3, 7, 3, 23, 47, 65, 209, 357, 363, 1979, 289, 35, 4459,
    17929, 1, 3, 1, 11, 19, 17, 125, 231, 221, 953, 2041, 2359, 5925, 15693, 30859,
    1, 1, 3, 13, 31, 11, 11, 215, 335, 153, 1459, 2303, 3471, 7415, 3783, 1,
    1, 7, 5, 11, 55, 47, 43, 355, 469, 963, 383, 667, 2233, 27759, 1, 3,
    1, 9, 23, 29, 27, 135, 359, 111, 387, 3021, 817, 4211, 17243, 1, 1, 3,
    9, 25, 27, 63, 89, 195, 359, 413, 3509, 3831, 4785, 30097, 1, 1, 5, 5,
    11, 29, 29, 25, 445, 643, 261, 3901, 3019, 14213, 16115, 1, 3, 3, 15, 21,
    31, 7, 255, 207, 535, 1033, 1017, 3791, 11455, 31701, 1, 3, 5, 13, 15, 37,
    79, 205, 439, 609, 1433, 3333, 6583, 9689, 14979, 1, 1, 7, 3, 31, 27, 53,
    101, 427, 773, 1877, 1715, 6177, 11851, 17989, 1, 3, 1, 3, 21, 11, 101, 203,
    49, 543, 1979, 1469, 6701, 9963, 7793, 1, 1, 3, 1, 15, 47, 123, 141, 433,
    783, 211, 1489, 4983, 6417, 29767, 1, 1, 5, 3, 1, 41, 109, 13, 465, 959,
    431, 543, 4681, 8573, 7889, 1, 1, 1, 3, 15, 43, 15, 63, 145, 859, 939,
    629, 7077, 5617, 16779, 1, 3, 3, 1, 23, 63, 67, 139, 219, 257, 943, 1501,
    827, 10855, 10035, 1, 3, 1, 15, 9, 47, 27, 119, 231, 767, 999, 3553, 7683,
    5399, 11553, 1, 3, 3, 11, 15, 13, 35, 139, 463, 985, 553, 3997, 2935, 7707,
    2511, 1, 1, 3, 11, 23, 53, 103, 1, 409, 853, 737, 2077, 523, 1839, 32145,
    1, 3, 1, 15, 23, 7, 77, 185, 371, 447, 499, 569, 6647, 501, 27649, 1,
    1, 3, 5, 19, 31, 119, 157, 385, 427, 1411, 4031, 4199, 14567, 8133, 1, 3,
    7, 5, 31, 3, 123, 149, 209, 467, 1619, 879, 5949, 7295, 25165, 1, 3, 1,
    15, 31, 47, 111, 129, 359, 385, 463, 3363, 6823, 10751, 4473, 1, 3, 3, 7,
    5, 39, 71, 45, 439, 161, 597, 2093, 1725, 11285, 18149, 1, 3, 3, 7, 21,
    55, 115, 199, 339, 425, 71, 305, 1161, 3359, 16835, 1, 1, 7, 7, 1, 53,
    51, 31, 57, 581, 147, 903, 7269, 1461, 7417, 1, 3, 7, 3, 17, 31, 65,
    195, 47, 575, 1877, 1603, 3043, 5385, 15177, 1, 1, 3, 11, 15, 7, 121, 51,
    67, 391, 1553, 1817, 6503, 2907, 3611, 1, 1, 1, 9, 13, 51, 95, 19, 315,
    549, 1417, 2073, 485, 5257, 32419, 1, 3, 1, 9, 31, 63, 107, 103, 173, 681,
    211, 3283, 2413, 2073, 24497, 1, 3, 1, 7, 3, 41, 49, 81, 289, 177, 699,
    1305, 7867, 4699, 27669, 1, 1, 5, 3, 7, 15, 73, 57, 319, 959, 701, 2071,
    1587, 4701, 2595, 1, 1, 5, 7, 7, 1, 29, 129, 361, 619, 1405, 2185, 6631,
    3505, 391, 1, 3, 3, 5, 19, 9, 31, 63, 149, 181, 299, 2755, 1511, 5745,
    20323, 1, 1, 3, 11, 23, 5, 29, 175, 119, 25, 319, 835, 1339, 5429, 7175,
    1, 1, 3, 3, 31, 57, 55, 181, 473, 229, 309, 1567, 5063, 9745, 3713, 1,
    3, 3, 13, 1, 15, 23, 175, 71, 53, 1749, 743, 285, 49, 7389, 1, 3,
    1, 5, 7, 39, 75, 177, 259, 975, 257, 1497, 1565, 6973, 3827, 1, 3, 7,
    13, 1, 39, 43, 213, 291, 941, 613, 3041, 1859, 10755, 29831, 1, 3, 3, 9,
    17, 43, 15, 135, 473, 989, 429, 3287, 3699, 14349, 16311, 1, 3, 1, 15, 1,
    51, 59, 203, 383, 731, 171, 1259, 5833, 12029, 18099, 1, 3, 1, 3, 19, 63,
    125, 57, 429, 93, 1179, 2707, 449, 2213, 4759, 1, 1, 7, 3, 19, 11, 107,
    127, 359, 759, 503, 761, 6817, 15343, 13777, 1, 1, 1, 7, 21, 49, 67, 179,
    241, 403, 769, 3341, 1845, 2855, 3825, 1, 3, 3, 3, 7, 29, 71, 35, 389,
    297, 673, 1353, 6781, 5633, 12459, 1, 1, 1, 15, 13, 15, 11, 57, 143, 35,
    809, 2295, 6497, 455, 23689, 1, 3, 7, 15, 23, 39, 39, 211, 335, 537, 1569,
    3989, 5777, 12951, 22841, 1, 1, 7, 3, 23, 17, 107, 237, 241, 533, 57, 3421,
    263, 889, 28841, 1, 1, 5, 1, 11, 29, 17, 141, 431, 809, 1227, 2835, 2955,
    11823, 23061, 1, 1, 3, 9, 5, 51, 73, 43, 75, 985, 1665, 1369, 519, 6379,
    8665, 1, 3, 3, 13, 17, 21, 9, 173, 333, 689, 277, 1755, 5173, 7651, 30597,
    1, 3, 5, 9, 3, 59, 59, 221, 177, 819, 1483, 1945, 4725, 4821, 3709, 1,
    1, 7, 7, 19, 35, 93, 47, 49, 861, 561, 753, 8047, 419, 4335, 1, 3,
    3, 15, 31, 3, 97, 177, 443, 55, 1541, 2627, 6129, 4165, 3079, 1, 1, 1,
    9, 13, 13, 13, 29, 309, 679, 1893, 3629, 513, 16333, 25371, 1, 3, 1, 5,
    3, 23, 85, 169, 143, 537, 1387, 3997, 3659, 12107, 11689, 1, 1, 1, 5, 9,
    7, 11, 59, 325, 855, 1853, 855, 5743, 7625, 10381, 1, 3, 3, 3, 5, 37,
    109, 101, 243, 301, 1849, 1633, 4451, 8859, 22017, 1, 3, 5, 1, 7, 1, 9,
    1, 411, 941, 153, 2709, 389, 9403, 24103, 1, 1, 1, 15, 17, 19, 105, 127,
    271, 543, 449, 1385, 7387, 8335, 741, 1, 3, 7, 5, 23, 21, 43, 17, 357,
    499, 649, 1121, 7655, 15623, 12975, 1, 1, 5, 5, 1, 57, 37, 91, 159, 1013,
    653, 3371, 4857, 441, 17729, 1, 3, 7, 15, 15, 31, 71, 77, 113, 47, 1597,
    43, 1139, 3191, 31775, 1, 1, 1, 13, 19, 39, 93, 15, 433, 867, 1091, 2333,
    6113, 13005, 13309, 1, 1, 1, 9, 5, 57, 21, 7, 267, 79, 1829, 43, 211,
    2795, 18739, 1, 1, 5, 13, 25, 59, 93, 213, 23, 281, 625, 439, 1449, 2259,
    31713, 1, 1, 1, 3, 9, 13, 41, 171, 365, 907, 395, 3465, 6433, 33, 17191,
    1, 1, 1, 5, 3, 41, 45, 55, 413, 579, 1215, 3983, 1201, 3019, 16401, 1,
    1, 3, 3, 9, 25, 111, 33, 359, 427, 63, 4005, 2753, 15063, 1925, 1, 1,
    5, 3, 21, 55, 15, 5, 121, 867, 1645, 2387, 1167, 13865, 15899, 1, 3, 5,
    15, 13, 49, 9, 173, 291, 517, 143, 399, 7545, 7225, 29753, 1, 1, 3, 5,
    29, 23, 105, 165, 35, 325, 983, 215, 2537, 8661, 1715, 1, 3, 7, 7, 19,
    1, 91, 77, 311, 715, 347, 1705, 1045, 15003, 10961, 1, 1, 1, 15, 5, 3,
    73, 159, 113, 201, 257, 181, 551, 1189, 30719, 1, 1, 1, 3, 15, 57, 69,
    85, 133, 735, 429, 2087, 1453, 14277, 15245, 1, 3, 1, 1, 27, 5, 27, 247,
    401, 841, 1723, 3717, 3545, 3123, 27441, 1, 3, 1, 15, 5, 11, 97, 117, 331,
    843, 1101, 2977, 5123, 5761, 2019, 1, 3, 1, 5, 31, 25, 53, 191, 265, 961,
    1695, 1847, 6377, 13261, 8853, 1, 3, 1, 5, 5, 29, 85, 3, 127, 407, 1511,
    549, 4015, 15327, 9167, 1, 3, 5, 3, 9, 11, 1, 217, 53, 201, 1237, 2663,
    7429, 7349, 5619, 1, 3, 3, 15, 13, 63, 21, 173, 59, 881, 351, 1285, 7155,
    6665, 25117, 1, 1, 3, 3, 3, 43, 103, 227, 397, 75, 1211, 2959, 3507, 3105,
    21739, 1, 1, 3, 11, 1, 1, 5, 3, 41, 243, 1317, 2205, 4079, 7447, 22493,
    1, 3, 1, 3, 7, 39, 23, 171, 263, 375, 805, 2309, 7123, 4935, 4517, 1,
    1, 5, 15, 5, 47, 35, 15, 131, 875, 1771, 3001, 951, 14269, 6395, 1, 1,
    3, 9, 27, 1, 59, 247, 295, 229, 309, 213, 6661, 10415, 17855, 1, 3, 5,
    1, 15, 61, 47, 175, 279, 221, 1665, 3475, 4171, 15515, 30835, 1, 3, 3, 15,
    29, 21, 61, 123, 57, 839, 399, 3069, 4617, 7051, 3245, 1, 3, 7, 11, 27,
    57, 83, 163, 499, 901, 855, 2049, 2993, 10323, 3391, 1, 1, 7, 5, 17, 5,
    23, 51, 445, 639, 811, 139, 2863, 9447, 25971, 1, 3, 3, 13, 31, 43, 75,
    251, 9, 239, 1573, 871, 2211, 15057, 879, 1, 1, 5, 11, 23, 39, 69, 79,
    335, 729, 1807, 1497, 2363, 8713, 3987, 1, 3, 5, 11, 27, 9, 1, 5, 207,
    217, 1097, 2737, 6815, 9969, 21731, 1, 3, 3, 15, 9, 33, 71, 85, 15, 323,
    1955, 1299, 4439, 6413, 23055, 1, 3, 5, 13, 15, 11, 75, 201, 5, 69, 1067,
    2287, 8099, 11293, 22547, 1, 3, 1, 7, 19, 1, 63, 195, 463, 463, 1741, 915,
    1289, 11275, 16383, 1, 1, 7, 3, 3, 53, 51, 95, 389, 385, 1621, 955, 137,
    8523, 24087, 1, 3, 5, 11, 25, 27, 49, 27, 459, 979, 277, 2917, 6639, 3471,
    20407, 1, 1, 5, 3, 19, 25, 75, 47, 395, 269, 1445, 287, 4563, 8817, 10645,
    1, 1, 1, 15, 5, 9, 59, 177, 463, 683, 1917, 1189, 2423, 6967, 433, 1,
    3, 5, 7, 11, 53, 101, 81, 89, 419, 1605, 3719, 5449, 4303, 11235, 1, 1,
    7, 15, 7, 55, 5, 133, 273, 757, 313, 3451, 7837, 14543, 1607, 1, 3, 7,
    11, 9, 13, 103, 95, 301, 637, 1951, 2577, 2571, 7881, 27057, 1, 3, 3, 9,
    25, 17, 119, 11, 7, 141, 1219, 3091, 1737, 16355, 2807, 1, 1, 1, 1, 3,
    55, 59, 193, 23, 643, 159, 3393, 2671, 14737, 21193, 1, 3, 5, 9, 9, 11,
    109, 227, 333, 861, 915, 3239, 6199, 9555, 28563, 1, 3, 3, 9, 1, 33, 51,
    169, 291, 159, 1983, 173, 4133, 11477, 31525, 1, 3, 5, 5, 31, 39, 47, 195,
    421, 949, 311, 1537, 8009, 6273, 10893, 1, 1, 1, 1, 17, 19, 37, 211, 245,
    553, 769, 2131, 2819, 16119, 25851, 1, 3, 3, 13, 7, 3, 63, 141, 465, 367,
    949, 3997, 5217, 3425, 31161, 1, 3, 3, 5, 19, 35, 91, 115, 153, 127, 231,
    3723, 7911, 4421, 2271, 1, 3, 5, 9, 17, 57, 49, 151, 263, 89, 1635, 2991,
    7011, 13243, 1473, 1, 1, 1, 15, 21, 59, 53, 179, 113, 839, 649, 2083, 7015,
    5507, 9539, 1, 1, 1, 1, 13, 49, 97, 81, 255, 973, 275, 2005, 5493, 11019,
    14427, 1, 1, 7, 5, 5, 53, 27, 197, 269, 699, 285, 3725, 7681, 3767, 11881,
    1, 1, 1, 13, 15, 15, 11, 245, 419, 559, 727, 1545, 1821, 5655, 26971, 1,
    1, 3, 3, 5, 1, 77, 211, 139, 949, 1945, 3327, 6699, 6227, 9769, 1, 3,
    1, 1, 3, 9, 113, 17, 283, 939, 1941, 19, 7431, 14503, 24541, 1, 1, 1,
    3, 1, 57, 17, 85, 371, 491, 775, 2093, 5615, 4977, 30995, 1, 1, 3, 3,
    1, 61, 75, 163, 307, 527, 1821, 1291, 5761, 9983, 4647, 1, 1, 1, 13, 7,
    61, 9, 203, 255, 293, 1683, 1081, 3179, 13283, 13759, 1, 1, 5, 5, 5, 25,
    23, 97, 37, 277, 1787, 2709, 6201, 8041, 2301, 1, 3, 1, 1, 21, 57, 33,
    13, 307, 427, 1577, 2043, 8131, 11723, 14353, 1, 1, 3, 5, 19, 39, 63, 11,
    139, 173, 517, 1597, 3871, 15533, 4123, 1, 3, 1, 11, 19, 43, 123, 127, 237,
    599, 893, 3645, 947, 12565, 9367, 1, 1, 7, 11, 27, 9, 119, 251, 499, 777,
    1667, 1699, 3431, 2727, 7097, 1, 1, 1, 11, 7, 25, 95, 143, 319, 659, 1567,
    1391, 5149, 15177, 6583, 1, 3, 1, 13, 7, 39, 125, 219, 405, 739, 1267, 3065,
    7529, 3195, 21889, 1, 3, 3, 9, 27, 13, 87, 129, 451, 997, 103, 1667, 545,
    6341, 3105, 1, 1, 5, 3, 11, 43, 95, 205, 445, 919, 1353, 2435, 269, 3221,
    8983, 1, 1, 3, 1, 5, 47, 15, 127, 47, 89, 1409, 1935, 2047, 10629, 4867,
    1, 1, 5, 9, 21, 51, 31, 175, 337, 643, 1233, 1049, 569, 3383, 18771, 1,
    1, 7, 11, 7, 7, 29, 139, 65, 621, 363, 513, 4149, 5225, 11595, 1, 1,
    7, 7, 11, 31, 43, 223, 249, 661, 123, 2725, 5179, 13237, 10483, 1, 1, 5,
    3, 5, 35, 121, 193, 33, 343, 413, 1879, 8013, 11161, 7945, 1, 3, 7, 5,
    27, 43, 123, 25, 45, 279, 979, 1121, 1041, 3757, 22217, 1, 3, 5, 1, 29,
    45, 29, 215, 39, 679, 799, 1491, 885, 15475, 29269, 1, 1, 3, 1, 1, 5,
    49, 181, 441, 691, 639, 859, 2785, 3237, 1703, 1, 1, 1, 9, 19, 1, 41,
    131, 469, 999, 1665, 2309, 4447, 13851, 7063, 1, 3, 5, 3, 21, 53, 51, 155,
    41, 43, 127, 1653, 6237, 10481, 22557, 1, 3, 5, 7, 31, 21, 39, 177, 283,
    535, 771, 3783, 3033, 10971, 8691, 1, 1, 3, 1, 25, 57, 13, 139, 169, 717,
    795, 2337, 7347, 6951, 20509, 1, 1, 5, 11, 1, 29, 27, 21, 259, 889, 83,
    3295, 3699, 1523, 6227, 1, 3, 5, 3, 9, 37, 35, 95, 217, 335, 865, 3093,
    3077, 9831, 12173, 1, 1, 7, 13, 31, 7, 69, 193, 459, 967, 481, 3271, 677,
    13131, 22665, 1, 3, 3, 9, 13, 31, 43, 155, 465, 303, 1153, 1591, 7793, 921,
    12805, 1, 1, 5, 5, 23, 59, 3, 151, 391, 729, 913, 899, 1793, 10173, 19681,
    1, 3, 1, 5, 31, 21, 19, 219, 311, 1013, 227, 1813, 3103, 14191, 22995, 1,
    1, 3, 5, 3, 59, 11, 191, 433, 63, 465, 3505, 6801, 3047, 16913, 1, 1,
    7, 9, 19, 3, 95, 203, 1, 679, 1719, 269, 1747, 9465, 24445, 1, 1, 7,
    9, 9, 17, 79, 45, 179, 863, 801, 2825, 5345, 637, 9729, 1, 3, 7, 11,
    11, 59, 45, 107, 45, 891, 629, 443, 805, 15277, 1961, 1, 1, 3, 5, 9,
    49, 123, 183, 13, 867, 261, 3883, 2479, 8221, 3327, 1, 1, 5, 11, 19, 19,
    95, 85, 351, 861, 1499, 3697, 7369, 10757, 16445, 1, 3, 5, 5, 27, 13, 119,
    243, 437, 655, 955, 1919, 3643, 12389, 6865, 1, 3, 3, 1, 23, 15, 43, 65,
    87, 833, 503, 999, 703, 4411, 3343, 1, 3, 7, 1, 31, 13, 67, 199, 261,
    257, 1767, 3983, 823, 149, 32353, 1, 3, 1, 15, 15, 17, 69, 237, 441, 657,
    1125, 3377, 5971, 15477, 31363, 1, 3, 1, 13, 3, 55, 67, 93, 315, 1015, 61,
    35, 3059, 15503, 16811, 1, 1, 3, 9, 1, 51, 91, 213, 3, 37, 849, 2329,
    2237, 6189, 625, 1, 1, 5, 7, 25, 3, 57, 103, 401, 357, 461, 2677, 6059,
    291, 11461, 1, 1, 5, 7, 23, 29, 119, 61, 121, 535, 251, 565, 7307, 1085,
    8429, 1, 1, 3, 13, 23, 19, 63, 155, 5, 617, 9, 715, 5399, 1747, 17633,
    1, 1, 1, 13, 3, 57, 13, 161, 123, 389, 1695, 4083, 1957, 11359, 18961, 1,
    1, 3, 15, 27, 25, 65, 15, 205, 695, 995, 1471, 1131, 11435, 22107, 1, 3,
    3, 11, 31, 29, 109, 121, 81, 15, 1087, 299, 3495, 14137, 19073, 1, 3, 3,
    15, 23, 23, 117, 55, 215, 287, 1421, 731, 279, 15497, 15545, 1, 3, 5, 15,
    1, 31, 95, 249, 403, 239, 771, 1279, 1863, 12893, 21043, 1, 3, 1, 9, 21,
    23, 123, 169, 69, 591, 621, 1697, 5867, 5193, 16573, 1, 3, 3, 5, 29, 19,
    105, 177, 143, 141, 1455, 3119, 347, 8797, 3925, 1, 3, 3, 15, 9, 11, 41,
    169, 141, 555, 1761, 3441, 2245, 14205, 9769, 1, 1, 1, 5, 9, 33, 125, 203,
    333, 461, 551, 569, 1305, 10213, 24549, 1, 1, 7, 13, 21, 9, 99, 43, 395,
    667, 121, 1225, 7835, 8327, 17717, 1, 3, 3, 7, 21, 9, 31, 59, 321, 505,
    1357, 3213, 4219, 10637, 11127, 1, 1, 1, 7, 17, 49, 77, 243, 189, 115, 1339,
    2023, 7431, 5087, 24495, 1, 1, 1, 11, 1, 39, 41, 51, 315, 383, 237, 3877,
    5731, 11, 21307, 1, 1, 7, 5, 5, 3, 17, 227, 483, 395, 1251, 1265, 3965,
    15203, 17163, 1, 3, 7, 7, 23, 41, 53, 45, 43, 989, 629, 1557, 2891, 4613,
    3647, 1, 3, 3, 5, 15, 39, 35, 127, 267, 45, 1299, 2251, 7363, 13595, 31061,
    1, 3, 7, 15, 23, 45, 99, 153, 419, 727, 1077, 3407, 4861, 3697, 14479, 1,
    3, 5, 15, 19, 21, 123, 173, 295, 47, 1977, 1185, 7403, 11901, 29753, 1, 1,
    3, 13, 21, 53, 83, 151, 309, 293, 439, 2381, 7965, 3449, 8861, 1, 1, 1,
    3, 31, 49, 61, 81, 327, 173, 111, 3893, 2621, 1409, 13255, 1, 3, 5, 5,
    3, 13, 75, 71, 271, 689, 369, 2719, 759, 8691, 24611, 1, 1, 1, 5, 21,
    7, 69, 17, 347, 699, 1581, 1095, 1727, 8213, 5033, 1, 1, 1, 1, 23, 41,
    85, 233, 43, 863, 553, 2625, 2323, 7471, 12457, 1, 1, 3, 15, 3, 7, 99,
    27, 173, 539, 113, 2309, 1771, 11709, 29703, 1, 3, 1, 1, 7, 43, 73, 91,
    151, 961, 251, 2089, 4475, 2745, 6077, 1, 1, 3, 7, 15, 61, 91, 139, 161,
    613, 603, 1587, 3995, 9241, 24467, 1, 1, 1, 3, 1, 21, 7, 157, 311, 451,
    137, 3289, 5583, 5107, 24471, 1, 1, 7, 9, 15, 3, 7, 19, 375, 265, 1781,
    335, 233, 3569, 21407, 1, 1, 5, 13, 7, 53, 81, 79, 355, 89, 1233, 267,
    6523, 8819, 30595, 1, 1, 7, 7, 1, 59, 65, 93, 251, 565, 1575, 2709, 7845,
    13355, 6043, 1, 1, 5, 7, 9, 21, 71, 97, 383, 189, 3, 1841, 1403, 9649,
    25053, 1, 3, 5, 9, 25, 47, 41, 63, 177, 551, 1389, 1639, 4209, 15787, 26499,
    1, 1, 3, 15, 29, 53, 119, 3, 33, 677, 207, 1239, 453, 6281, 26701, 1,
    3, 5, 13, 7, 37, 87, 241, 477, 765, 1511, 2659, 1043, 313, 27957, 1, 3,
    5, 3, 1, 31, 101, 27, 401, 547, 617, 3605, 4899, 5093, 19933, 1, 1, 7,
    13, 7, 45, 127, 191, 439, 383, 745, 3143, 2083, 2941, 31981, 1, 3, 3, 13,
    7, 15, 31, 203, 75, 297, 603, 2945, 1823, 12359, 29245, 1, 3, 7, 15, 1,
    57, 35, 255, 77, 483, 1051, 1999, 4975, 16211, 22903, 1, 1, 5, 5, 23, 53,
    13, 251, 181, 1011, 983, 3735, 4221, 5557, 25777, 1, 1, 1, 11, 13, 51, 21,
    155, 293, 79, 1015, 2653, 2959, 9913, 17751, 1, 1, 5, 3, 17, 33, 27, 125,
    437, 663, 343, 1799, 2129, 7993, 1373, 1, 3, 3, 3, 9, 17, 31, 123, 453,
    853, 1221, 2863, 4637, 8239, 27233, 1, 1, 5, 1, 7, 19, 43, 77, 19, 559,
    1397, 1631, 3187, 1445, 25437, 1, 1, 3, 5, 31, 21, 71, 127, 223, 127, 717,
    3163, 2079, 2399, 16415, 1, 1, 1, 13, 17, 13, 99, 227, 127, 625, 1065, 1779,
    7275, 11865, 17397, 1, 3, 3, 11, 31, 43, 27, 231, 103, 873, 949, 1179, 3149,
    2251, 22993, 1, 3, 1, 11, 25, 11, 89, 149, 71, 171, 1985, 3779, 901, 16307,
    5663, 1, 1, 3, 5, 1, 25, 125, 241, 167, 381, 407, 2801, 635, 313, 10199,
    1, 1, 3, 15, 29, 31, 101, 121, 251, 685, 677, 1683, 3499, 16193, 7139, 1,
    3, 5, 3, 7, 13, 27, 101, 7, 159, 2005, 3297, 2775, 11193, 17385, 1, 1,
    5, 5, 25, 31, 119, 43, 317, 371, 1505, 2631, 1021, 1297, 22791, 1, 3, 5,
    7, 17, 57, 63, 229, 97, 599, 1485, 1113, 403, 77, 25541, 1, 1, 7, 13,
    11, 43, 29, 85, 335, 943, 1605, 1757, 2787, 3313, 14991, 1, 3, 7, 13, 17,
    43, 5, 231, 441, 883, 465, 841, 2785, 8193, 7951, 1, 3, 1, 3, 27, 33,
    1, 215, 295, 381, 283, 219, 3419, 3343, 17629, 1, 1, 5, 9, 5, 49, 107,
    179, 281, 223, 1845, 2505, 2281, 12051, 12609, 1, 1, 7, 13, 21, 13, 109, 183,
    385, 293, 773, 3975, 4737, 8143, 1335, 1, 1, 1, 13, 13, 47, 23, 27, 271,
    957, 1937, 4091, 3563, 4055, 17595, 1, 3, 3, 15, 31, 45, 43, 7, 125, 549,
    169, 1567, 5405, 3919, 21795, 1, 3, 5, 7, 5, 53, 121, 107, 217, 745, 861,
    481, 5503, 3723, 12215, 1, 3, 7, 3, 23, 27, 91, 175, 477, 289, 817, 2483,
    6071, 5429, 12923, 1, 1, 3, 15, 7, 63, 29, 157, 323, 851, 1941, 1927, 5165,
    9875, 11809, 1, 3, 3, 1, 13, 17, 93, 187, 329, 187, 1417, 1477, 7891, 11093,
    24705, 1, 3, 3, 13, 5, 41, 119, 135, 255, 47, 803, 3941, 1647, 7777, 17515,
    1, 1, 5, 9, 25, 11, 15, 231, 81, 267, 1633, 407, 3319, 12033, 9651, 1,
    3, 1, 1, 31, 43, 3, 101, 435, 869, 159, 441, 613, 10283, 6873, 1, 1,
    5, 1, 11, 55, 7, 65, 357, 595, 1543, 3957, 6075, 7265, 27063, 1, 3, 3,
    11, 23, 23, 41, 205, 197, 863, 695, 971, 39, 12389, 2983, 1, 1, 3, 15,
    7, 39, 39, 25, 173, 277, 999, 3797, 3051, 189, 13559, 1, 1, 7, 5, 3,
    7, 47, 79, 411, 109, 55, 3803, 6617, 14317, 9533, 1, 1, 3, 9, 31, 17,
    53, 97, 495, 995, 1735, 1055, 6805, 6865, 23321, 1, 3, 7, 13, 3, 63, 37,
    185, 311, 995, 1819, 2633, 2593, 2107, 15755, 1, 3, 7, 11, 25, 37, 79, 179,
    435, 167, 147, 2159, 5909, 10427, 12487, 1, 3, 5, 7, 31, 9, 69, 93, 477,
    283, 479, 1895, 5693, 4809, 3157, 1, 1, 3, 11, 27, 21, 11, 3, 157, 1011,
    1473, 2393, 259, 4155, 28375, 1, 3, 1, 9, 7, 11, 73, 215, 289, 933, 1369,
    2911, 3251, 727, 19237, 1, 1, 1, 15, 29, 19, 77, 59, 213, 1005, 2009, 1899,
    5987, 7429, 5607, 1, 1, 1, 13, 7, 53, 79, 151, 443, 911, 1777, 1223, 663,
    2099, 17297, 1, 1, 1, 9, 11, 7, 81, 175, 265, 879, 1867, 539, 2353, 5667,
    4973, 1, 1, 1, 9, 23, 63, 35, 57, 139, 653, 1837, 681, 6993, 643, 21771,
    1, 3, 7, 9, 11, 13, 123, 199, 405, 373, 1817, 3331, 5585, 11721, 9355, 1,
    1, 7, 7, 27, 29, 79, 121, 399, 85, 531, 507, 4361, 6167, 29317, 1, 1,
    7, 11, 13, 19, 75, 245, 197, 731, 233, 487, 2245, 11413, 31865, 1, 1, 7,
    5, 27, 43, 109, 135, 91, 475, 209, 865, 2239, 8065, 23295, 1, 1, 1, 9,
    13, 27, 101, 121, 23, 319, 873, 251, 299, 7145, 26225, 1, 1, 7, 1, 31,
    51, 85, 91, 299, 545, 1557, 2447, 4055, 3911, 12805, 1, 3, 1, 9, 31, 63,
    123, 191, 241, 7, 347, 23, 5135, 7353, 30865, 1, 1, 5, 1, 3, 13, 81,
    249, 65, 853, 893, 219, 6555, 4941, 21669, 1, 3, 5, 13, 13, 27, 13, 203,
    205, 459, 883, 1723, 2721, 9173, 9643, 1, 1, 5, 5, 11, 59, 109, 25, 107,
    1007, 357, 2877, 5075, 3251, 29541, 1, 1, 1, 15, 19, 37, 99, 183, 267, 571,
    49, 975, 2441, 4459, 15481, 1, 3, 1, 1, 21, 7, 89, 233, 209, 151, 1919,
    31, 4363, 9781, 4683, 1, 1, 3, 9, 15, 35, 101, 29, 27, 737, 1577, 2611,
    3727, 2245, 31889, 1, 3, 5, 9, 19, 19, 125, 229, 313, 239, 67, 1373, 6459,
    1339, 19909, 1, 3, 3, 13, 19, 35, 17, 31, 183, 391, 1515, 2357, 2673, 10055,
    943, 1, 1, 3, 11, 31, 17, 37, 239, 79, 869, 629, 2755, 7431, 127, 19155,
    1, 3, 5, 3, 9, 13, 91, 27, 163, 455, 2007, 2479, 2387, 1557, 437, 1,
    1, 1, 13, 15, 63, 11, 105, 51, 673, 997, 2487, 35, 8655, 21481, 1, 3,
    5, 11, 1, 3, 27, 117, 195, 233, 269, 2163, 2083, 8907, 28005, 1, 1, 1,
    9, 9, 17, 63, 211, 87, 107, 1183, 2705, 6811, 9959, 13937, 1, 1, 1, 1,
    1, 3, 57, 231, 209, 949, 895, 2773, 237, 8943, 22453, 1, 3, 7, 11, 7,
    53, 1, 247, 279, 411, 1247, 2121, 3127, 16279, 277, 1, 3, 5, 5, 15, 35,
    15, 15, 485, 763, 1631, 1717, 191, 6609, 32383, 1, 1, 5, 11, 27, 5, 73,
    143, 127, 477, 535, 3815, 3135, 9865, 5375, 1, 1, 7, 9, 21, 31, 83, 63,
    313, 775, 875, 4053, 905, 14255, 31537, 1, 1, 1, 3, 7, 3, 107, 231, 333,
    935, 1625, 2527, 2293, 10407, 4795, 1, 3, 5, 7, 25, 19, 123, 193, 353, 353,
    1403, 3007, 677, 15333, 1263, 1, 1, 3, 9, 1, 39, 79, 251, 59, 973, 1707,
    2153, 7445, 9083, 6675, 1, 1, 7, 3, 7, 55, 21, 101, 203, 735, 1789, 3119,
    6633, 3643, 1947, 1, 1, 5, 9, 13, 49, 103, 141, 181, 893, 385, 1541, 5887,
    10687, 16183, 1, 3, 3, 7, 17, 59, 35, 119, 467, 77, 1591, 469, 4991, 8113,
    20231, 1, 3, 1, 15, 19, 41, 5, 71, 247, 955, 565, 1931, 2895, 13189, 28461,
    1, 3, 5, 9, 19, 21, 123, 39, 175, 35, 673, 107, 3157, 1495, 16341, 1,
    1, 3, 9, 31, 25, 9, 17, 463, 585, 1701, 3325, 6071, 2719, 4479, 1, 3,
    3, 15, 25, 51, 63, 241, 289, 787, 1109, 453, 5119, 139, 377, 1, 3, 5,
    7, 29, 3, 53, 119, 219, 367, 1785, 777, 5255, 10013, 27979, 1, 1, 1, 3,
    1, 45, 3, 239, 429, 595, 1591, 3111, 2373, 4121, 12671, 1, 3, 3, 9, 5,
    49, 11, 145, 167, 19, 155, 2017, 3593, 15275, 22319, 1, 3, 1, 3, 11, 15,
    17, 241, 293, 345, 1663, 301, 627, 12161, 19939, 1, 3, 5, 1, 3, 19, 41,
    75, 121, 611, 1741, 4055, 5567, 773, 767, 1, 1, 1, 3, 5, 49, 127, 49,
    93, 819, 1391, 2173, 4021, 11953, 28465, 1, 1, 3, 5, 9, 59, 63, 85, 249,
    239, 521, 3333, 6301, 15283, 10645, 1, 1, 1, 7, 9, 53, 107, 201, 151, 79,
    1561, 3497, 4473, 4369, 6231, 1, 1, 1, 9, 11, 61, 57, 69, 215, 637, 1087,
    2827, 2495, 7471, 19127, 1, 1, 1, 13, 3, 25, 87, 131, 171, 577, 957, 989,
    3391, 3803, 27229, 1, 1, 5, 5, 1, 25, 83, 71, 161, 477, 573, 3709, 4393,
    4607, 32373, 1, 1, 7, 5, 13, 21, 19, 71, 207, 433, 849, 2685, 4455, 463,
    25163, 1, 1, 7, 3, 5, 19, 35, 41, 487, 3, 865, 25, 7925, 9015, 29397,
    1, 1, 7, 3, 7, 41, 83, 27, 79, 501, 267, 2015, 8109, 8877, 4029, 1,
    3, 5, 1, 1, 31, 71, 233, 167, 185, 33, 1249, 3755, 2805, 29559, 1, 1,
    1, 7, 11, 21, 111, 105, 469, 527, 711, 3551, 521, 10593, 22701, 1, 1, 1,
    1, 29, 1, 79, 109, 279, 643, 1263, 2405, 3717, 11395, 4325, 1, 1, 1, 1,
    29, 47, 59, 1, 195, 399, 1963, 265, 317, 15117, 9935, 1, 1, 7, 5, 21,
    43, 93, 113, 273, 67, 281, 477, 6309, 3649, 20147, 1, 1, 3, 15, 29, 61,
    69, 151, 185, 809, 993, 2383, 7263, 901, 18607, 1, 1, 3, 9, 27, 33, 25,
    103, 387, 131, 1555, 301, 1471, 11331, 15091, 1, 1, 7, 7, 19, 55, 115, 121,
    99, 371, 1563, 895, 6207, 93, 8549, 1, 1, 1, 9, 19, 23, 13, 181, 281,
    479, 1, 1515, 3853, 8601, 19241, 1, 3, 1, 15, 29, 63, 113, 253, 105, 421,
    1679, 2113, 4671, 7923, 7671, 1, 3, 1, 3, 17, 9, 15, 241, 339, 619, 417,
    3257, 5917, 9981, 19033, 1, 3, 3, 13, 21, 11, 97, 201, 257, 307, 133, 1793,
    193, 8609, 27771, 1, 1, 7, 3, 25, 55, 51, 97, 453, 37, 639, 3451, 6587,
    3835, 13229, 1, 3, 1, 1, 3, 21, 123, 81, 447, 963, 449, 1329, 4887, 1141,
    3213, 1, 1, 3, 1, 5, 33, 107, 89, 67, 229, 2025, 1925, 5369, 14049, 10461,
    1, 1, 7, 3, 23, 17, 75, 79, 51, 25, 1541, 3475, 6129, 13391, 31091, 1,
    3, 3, 13, 17, 27, 5, 57, 147, 549, 721, 2477, 893, 6413, 24053, 1, 3,
    1, 15, 11, 29, 119, 149, 185, 713, 1603, 3671, 3409, 2689, 7933, 1, 1, 7,
    15, 9, 33, 97, 85, 185, 225, 1747, 1677, 4133, 11421, 26591, 1, 1, 5, 15,
    29, 43, 75, 251, 157, 861, 517, 3341, 4447, 14803, 18465, 1, 3, 5, 15, 11,
    37, 57, 189, 423, 881, 1199, 1263, 2691, 6969, 21803, 1, 1, 3, 3, 25, 47,
    15, 107, 119, 885, 1149, 673, 4459, 9997, 4519, 1, 3, 7, 13, 23, 7, 37,
    161, 17, 499, 1675, 2309, 4159, 13771, 17741, 1, 3, 1, 13, 7, 51, 111, 163,
    313, 835, 1903, 2201, 321, 14655, 16845, 1, 1, 3, 3, 7, 41, 23, 87, 101,
    371, 257, 1679, 7449, 12967, 31, 1, 3, 3, 7, 29, 37, 57, 163, 507, 1,
    691, 2933, 4687, 10621, 32351, 1, 3, 7, 3, 31, 63, 73, 67, 503, 289, 1533,
    1203, 7931, 11399, 23463, 1, 1, 5, 7, 23, 39, 19, 73, 467, 65, 791, 2017,
    1763, 11921, 31643, 1, 3, 3, 1, 19, 21, 53, 61, 401, 429, 1095, 297, 7931,
    13085, 2013, 1, 1, 5, 11, 27, 41, 23, 225, 299, 943, 823, 3507, 4333, 817,
    26137, 1, 1, 1, 7, 27, 29, 31, 251, 499, 151, 295, 1731, 7661, 11825, 29587,
    1, 1, 3, 7, 17, 43, 17, 5, 25, 813, 1875, 2941, 1407, 11669, 16753, 1,
    3, 1, 1, 17, 59, 93, 173, 335, 933, 369, 3421, 2769, 16361, 11891, 1, 1,
    1, 3, 27, 5, 63, 7, 415, 533, 179, 851, 1623, 16375, 1271, 1, 1, 5,
    1, 17, 45, 125, 93, 43, 311, 153, 1225, 4891, 5621, 14355, 1, 3, 7, 5,
    13, 63, 103, 205, 119, 953, 1087, 703, 3729, 10249, 19085, 1, 3, 5, 3, 11,
    51, 17, 97, 323, 657, 269, 467, 2747, 13603, 22803, 1, 3, 3, 15, 3, 5,
    35, 23, 433, 259, 1857, 2313, 7709, 2297, 31109, 1, 3, 1, 15, 19, 11, 51,
    251, 167, 741, 1705, 3763, 967, 2593, 28229, 1, 3, 3, 13, 29, 47, 47, 183,
    305, 223, 381, 1753, 2285, 9113, 21685, 1, 3, 7, 13, 31, 17, 105, 25, 49,
    679, 1501, 3887, 5007, 4275, 31161, 1, 3, 7, 5, 27, 59, 17, 183, 477, 191,
    1111, 383, 5519, 7435, 20341, 1, 1, 7, 13, 25, 15, 67, 57, 5, 955, 731,
    3785, 2055, 13017, 27843, 1, 1, 5, 1, 27, 45, 67, 93, 311, 635, 1893, 1753,
    7307, 2765, 6263, 1, 1, 3, 1, 13, 53, 109, 5, 3, 705, 1745, 2233, 3425,
    6125, 28839, 1, 3, 5, 5, 5, 39, 5, 251, 431, 85, 599, 3459, 3211, 15611,
    28739, 1, 1, 7, 7, 25, 5, 25, 31, 283, 909, 399, 1335, 6973, 15791, 28351,
    1, 1, 5, 5, 3, 29, 47, 227, 463, 815, 1089, 2217, 4911, 14743, 17843, 1,
    1, 7, 3, 29, 39, 125, 165, 367, 461, 569, 3441, 1293, 1577, 10567, 1, 1,
    1, 11, 5, 11, 19, 129, 401, 111, 2019, 899, 2079, 7363, 32675, 1, 3, 1,
    7, 13, 27, 47, 183, 465, 421, 665, 1279, 5629, 7559, 21265, 1, 1, 7, 1,
    11, 19, 75, 1, 137, 893, 1709, 385, 2221, 15185, 10923, 1, 3, 5, 5, 9,
    1, 115, 203, 133, 259, 915, 2477, 3615, 1749, 7643, 1, 3, 3, 5, 9, 57,
    21, 113, 453, 739, 1857, 685, 5727, 10625, 23469, 1, 1, 5, 5, 13, 45, 37,
    25, 495, 723, 1805, 1631, 4889, 12885, 16895, 1, 1, 5, 7, 17, 59, 111, 29,
    143, 863, 1757, 1621, 3995, 7315, 30271, 1, 1, 1, 1, 5, 31, 81, 161, 275,
    623, 2017, 967, 2395, 14923, 23931, 1, 3, 5, 11, 31, 33, 95, 135, 477, 221,
    1603, 231, 5957, 12461, 2623, 1, 3, 5, 11, 7, 3, 53, 43, 351, 557, 1981,
    2127, 909, 8943, 21035, 1, 3, 5, 9, 31, 11, 13, 231, 145, 321, 567, 1919,
    7101, 12089, 8331, 1, 1, 7, 1, 13, 27, 101, 229, 89, 395, 349, 1785, 6441,
    8241, 30735, 1, 1, 7, 9, 21, 57, 123, 77, 251, 347, 1367, 2205, 4017, 16057,
    9247, 1, 3, 3, 11, 5, 1, 47, 57, 69, 381, 1613, 1525, 5715, 3677, 13015,
    1, 3, 7, 9, 31, 33, 15, 255, 149, 1021, 1149, 3609, 1739, 11867, 3093, 1,
    1, 7, 15, 27, 25, 57, 5, 137, 1005, 343, 2567, 1025, 8615, 6357, 1, 3,
    5, 1, 29, 57, 85, 65, 85, 789, 1179, 2523, 7589, 14657, 23637, 1, 3, 1,
    11, 3, 3, 107, 37, 125, 423, 225, 2991, 4515, 5057, 31181, 1, 1, 5, 9,
    31, 5, 111, 241, 301, 37, 943, 555, 7051, 11627, 7125, 1, 3, 3, 15, 17,
    31, 119, 185, 187, 621, 395, 3595, 1055, 7993, 28441, 1, 1, 5, 1, 31, 25,
    113, 223, 493, 919, 1455, 31, 4743, 14435, 31627, 1, 1, 1, 1, 27, 59, 45,
    75, 343, 701, 1737, 161, 6919, 13537, 26835, 1, 3, 1, 9, 31, 45, 89, 215,
    137, 237, 1135, 3239, 3345, 12063, 14599, 1, 3, 5, 15, 5, 51, 85, 73, 353,
    943, 1981, 127, 2605, 5673, 10037, 1, 1, 7, 1, 3, 49, 109, 105, 483, 499,
    1581, 793, 5857, 5509, 4651, 1, 3, 5, 9, 23, 5, 109, 83, 7, 155, 187,
    2205, 4199, 5487, 31925, 1, 1, 7, 5, 13, 11, 75, 53, 125, 139, 1241, 203,
    7361, 13783, 4317, 1, 3, 7, 5, 25, 57, 105, 197, 207, 261, 1251, 4057, 3877,
    13613, 7829, 1, 1, 5, 13, 31, 21, 89, 73, 163, 941, 1683, 2239, 1893, 16067,
    609, 1, 1, 1, 3, 5, 9, 41, 149, 43, 333, 1459, 277, 5687, 14201, 26879,
    1, 1, 3, 15, 21, 37, 67, 227, 443, 767, 1109, 2151, 7875, 15519, 13741, 1,
    3, 1, 5, 31, 15, 107, 43, 343, 27, 1321, 3009, 5751, 2931, 9733, 1, 1,
    1, 11, 5, 27, 49, 33, 439, 555, 97, 59, 4043, 12063, 27227, 1, 3, 7,
    7, 27, 9, 55, 69, 485, 75, 1255, 101, 7193, 9427, 31125, 1, 3, 7, 3,
    15, 23, 51, 145, 501, 875, 1611, 1321, 6809, 5051, 17135, 1, 3, 3, 13, 5,
    45, 35, 115, 3, 639, 1705, 207, 4235, 3329, 14481, 1, 3, 3, 1, 5, 15,
    17, 115, 175, 583, 1649, 2195, 3827, 16227, 21401, 1, 3, 3, 7, 1, 3, 107,
    167, 195, 953, 743, 1375, 701, 1155, 1027, 1, 1, 7, 1, 31, 31, 67, 133,
    219, 307, 1031, 3321, 4855, 11285, 16987, 1, 1, 7, 1, 25, 9, 41, 105, 89,
    289, 1851, 2245, 1647, 2925, 8637, 1, 3, 7, 15, 29, 29, 107, 21, 101, 419,
    1207, 3301, 1217, 14157, 17373, 1, 1, 5, 11, 9, 41, 49, 165, 353, 215, 883,
    2031, 7363, 13221, 8329, 1, 1, 5, 15, 17, 7, 67, 217, 87, 217, 2013, 3809,
    4983, 5341, 30353, 1, 1, 7, 9, 1, 37, 97, 109, 485, 777, 171, 1391, 781,
    5019, 19883, 1, 3, 3, 13, 7, 17, 27, 69, 265, 663, 569, 2909, 7409, 14813,
    5849, 1, 3, 5, 13, 11, 29, 27, 105, 215, 59, 1251, 2003, 2201, 7221, 7549,
    1, 1, 1, 3, 15, 7, 79, 237, 327, 839, 1167, 3211, 275, 16031, 25691, 1,
    1, 5, 3, 3, 33, 117, 113, 361, 381, 1093, 1791, 2399, 1245, 23275, 1, 1,
    1, 3, 7, 49, 77, 5, 217, 995, 1127, 3891, 81, 13331, 12479, 1, 1, 7,
    9, 9, 57, 119, 227, 41, 337, 183, 3201, 3627, 16263, 28153, 1, 3, 1, 13,
    11, 9, 81, 99, 247, 157, 1421, 1087, 151, 6529, 13537, 1, 3, 3, 5, 31,
    43, 113, 143, 163, 583, 2031, 3087, 7565, 4987, 17131, 1, 1, 3, 1, 9, 1,
    121, 93, 113, 849, 679, 1403, 6815, 15605, 29785, 1, 3, 7, 11, 27, 63, 53,
    83, 397, 935, 23, 125, 5813, 15765, 2869, 1, 1, 3, 3, 9, 11, 65, 77,
    387, 129, 1039, 1583, 2235, 3851, 30603, 1, 1, 7, 3, 5, 27, 45, 233, 351,
    827, 215, 1209, 409, 2185, 3827, 1, 1, 3, 3, 31, 23, 35, 83, 271, 65,
    553, 3189, 2435, 12865, 28271, 1, 1, 5, 1, 29, 51, 35, 105, 477, 1001, 1859,
    2063, 6895, 1855, 13931, 1, 3, 3, 11, 17, 63, 125, 165, 37, 671, 2001, 1237,
    7355, 339, 24771, 1, 3, 3, 5, 13, 5, 9, 201, 183, 39, 119, 3889, 949,
    7889, 25951, 1, 1, 3, 5, 13, 63, 71, 117, 209, 955, 1175, 317, 4261, 2341,
    29819, 1, 3, 5, 5, 9, 59, 109, 137, 353, 355, 1227, 3183, 1553, 15039, 27979,
    1, 3, 1, 5, 25, 57, 87, 231, 259, 333, 975, 3413, 6035, 14783, 22309, 1,
    3, 5, 11, 19, 37, 55, 229, 423, 761, 1669, 3023, 2517, 2961, 12043, 1, 1,
    3, 13, 23, 5, 87, 193, 113, 577, 269, 983, 5453, 7827, 28197, 1, 1, 7,
    13, 1, 49, 89, 107, 155, 767, 1547, 2139, 5951, 3143, 12735, 1, 3, 1, 13,
    13, 57, 53, 243, 231, 131, 1505, 1255, 7831, 15615, 28755, 1, 1, 5, 11, 21,
    21, 37, 65, 327, 353, 1625, 543, 669, 1139, 20745, 1, 3, 1, 1, 5, 33,
    87, 211, 21, 581, 397, 2691, 1069, 10449, 17727, 1, 1, 7, 7, 1, 5, 115,
    143, 99, 523, 51, 939, 4635, 11491, 32731, 1, 3, 3, 15, 1, 19, 119, 193,
    127, 897, 1337, 3977, 5027, 5913, 9329, 1, 1, 5, 15, 15, 1, 93, 209, 427,
    625, 1581, 2639, 1291, 11177, 26943, 1, 1, 3, 13, 27, 9, 47, 243, 211, 21,
    1159, 3157, 6729, 219, 19671, 1, 3, 1, 15, 19, 27, 39, 237, 39, 389, 1201,
    2237, 7623, 12041, 18491, 1, 1, 3, 5, 25, 43, 47, 101, 319, 749, 659, 2319,
    1221, 3887, 29927, 1, 3, 3, 9, 1, 55, 57, 179, 163, 695, 611, 2511, 1261,
    15561, 29535, 1, 1, 1, 13, 7, 31, 79, 21, 143, 993, 377, 791, 187, 6485,
    6827, 1, 3, 5, 1, 11, 57, 39, 159, 373, 179, 1907, 2475, 1355, 9885, 18683,
    1, 1, 1, 3, 7, 5, 83, 151, 267, 377, 1463, 365, 4725, 2319, 18957, 1,
    3, 7, 3, 21, 51, 115, 119, 73, 561, 1513, 403, 4889, 2329, 20141, 1, 1,
    1, 15, 21, 47, 31, 61, 171, 529, 185, 717, 7065, 4273, 16643, 1, 3, 5,
    9, 3, 55, 41, 213, 489, 379, 1951, 1957, 7721, 6415, 27049, 1, 3, 1, 13,
    19, 43, 29, 203, 139, 137, 463, 1447, 2585, 14381, 29073, 1, 1, 1, 1, 19,
    37, 111, 119, 411, 671, 1135, 2891, 7929, 7465, 21699, 1, 1, 5, 13, 21, 31,
    83, 227, 435, 61, 969, 2171, 789, 3415, 18293, 1, 3, 3, 15, 31, 33, 87,
    227, 369, 341, 1515, 25, 2891, 16199, 22179, 1, 3, 3, 1, 25, 49, 111, 167,
    59, 355, 1687, 1799, 5963, 6161, 32157, 1, 1, 1, 5, 7, 57, 95, 171, 417,
    277, 47, 847, 3889, 8645, 3367, 1, 1, 7, 3, 25, 51, 99, 251, 463, 833,
    491, 3595, 2883, 8183, 28937, 1, 1, 3, 7, 1, 5, 73, 151, 397, 521, 905,
    603, 2315, 15231, 17955, 1, 1, 1, 13, 23, 59, 9, 187, 163, 727, 1909, 1135,
    6135, 11563, 2047, 1, 1, 3, 3, 9, 1, 121, 207, 55, 947, 873, 419, 2799,
    3285, 10237, 1, 1, 1, 3, 21, 27, 27, 241, 509, 295, 1509, 3527, 4269, 13579,
    29125, 1, 3, 1, 5, 7, 21, 35, 67, 251, 883, 1117, 1311, 1251, 10401, 10615,
    1, 3, 7, 3, 21, 13, 23, 75, 401, 279, 1557, 1419, 7067, 2563, 22285, 1,
    3, 1, 7, 23, 15, 11, 189, 315, 353, 1377, 3551, 4939, 14529, 12459, 1, 3,
    1, 3, 21, 41, 111, 67, 311, 95, 1919, 165, 2097, 12965, 12517, 1, 3, 3,
    11, 29, 61, 33, 35, 209, 541, 149, 3073, 8187, 15087, 17617, 1, 1, 7, 5,
    9, 53, 73, 145, 205, 157, 1737, 1737, 6471, 12327, 11605, 1, 1, 5, 5, 15,
    35, 105, 99, 467, 421, 483, 3191, 2321, 8953, 22045, 1, 3, 3, 9, 1, 35,
    65, 249, 37, 535, 1301, 2141, 1629, 9709, 995, 1, 3, 1, 13, 9, 27, 75,
    115, 121, 731, 1567, 2341, 6657, 14959, 6781, 1, 1, 1, 5, 13, 33, 89, 215,
    189, 693, 357, 3383, 6345, 14263, 23973, 1, 3, 1, 9, 21, 5, 59, 11, 21,
    703, 1217, 2623, 6429, 479, 28659, 1, 3, 3, 9, 11, 15, 113, 89, 453, 233,
    1323, 3859, 1841, 2753, 2839, 1, 1, 5, 15, 19, 1, 119, 83, 205, 861, 787,
    1039, 5257, 8945, 27271, 1, 3, 1, 15, 9, 37, 7, 83, 51, 611, 1121, 3185,
    1603, 5821, 14533, 1, 1, 7, 7, 27, 61, 115, 191, 357, 93, 1647, 3249, 2479,
    2423, 649, 1, 1, 7, 11, 25, 17, 13, 213, 37, 571, 1179, 3897, 3817, 7597,
    26239, 1, 1, 5, 5, 27, 57, 73, 209, 433, 779, 75, 2135, 8183, 7343, 23751,
    1, 1, 7, 13, 27, 51, 31, 33, 195, 443, 1639, 1415, 6203, 4373, 31271, 1,
    1, 7, 11, 9, 9, 75, 103, 237, 521, 1653, 1209, 5981, 5961, 15229, 1, 3,
    3, 11, 15, 29, 1, 201, 171, 81, 729, 589, 441, 2453, 25209, 1, 3, 1,
    1, 21, 11, 95, 225, 213, 981, 1479, 3259, 4415, 8393, 17647, 1, 1, 7, 1,
    7, 11, 95, 135, 329, 483, 1711, 3223, 4841, 11083, 4033, 1, 1, 3, 5, 23,
    37, 77, 39, 363, 555, 1451, 99, 6963, 13279, 24155, 1, 3, 7, 11, 11, 17,
    31, 29, 357, 177, 411, 1439, 815, 7017, 25527, 1, 3, 3, 15, 25, 7, 105,
    9, 301, 209, 917, 1369, 2941, 11599, 25847, 1, 1, 7, 7, 11, 33, 121, 9,
    465, 945, 201, 3929, 5521, 4787, 10713, 1, 1, 7, 9, 27, 3, 77, 11, 103,
    181, 1199, 2833, 6259, 3879, 13217, 1, 3, 3, 11, 11, 9, 5, 217, 471, 973,
    293, 3693, 5457, 11359, 30043, 1, 1, 3, 15, 27, 25, 7, 65, 95, 883, 277,
    3147, 6203, 12201, 23203, 1, 1, 3, 9, 3, 19, 51, 55, 381, 879, 845, 1605,
    2433, 4781, 5075, 1, 1, 3, 15, 17, 49, 21, 81, 209, 285, 1483, 1897, 5591,
    131, 30459, 1, 3, 1, 9, 17, 19, 47, 97, 325, 963, 1665, 3361, 369, 11023,
    23701, 1, 3, 1, 13, 3, 19, 57, 7, 57, 383, 1945, 3357, 2553, 5161, 22363,
    1, 1, 3, 15, 15, 37, 41, 123, 453, 879, 337, 251, 7137, 4117, 30879, 1,
    3, 5, 3, 13, 45, 55, 151, 357, 429, 671, 1183, 3047, 4991, 15273, 1, 1,
    3, 3, 15, 15, 65, 131, 505, 339, 869, 2983, 4451, 2375, 26745, 1, 3, 5,
    9, 15, 55, 23, 83, 255, 395, 15, 1175, 849, 5959, 17355, 1, 1, 3, 7,
    9, 3, 57, 95, 7, 267, 801, 3843, 3139, 12565, 20737, 1, 3, 7, 7, 9,
    41, 121, 77, 489, 975, 215, 325, 7505, 15517, 8833, 1, 3, 3, 1, 9, 43,
    105, 199, 339, 335, 1719, 1999, 4153, 9665, 15457, 1, 3, 1, 13, 1, 35, 47,
    157, 3, 93, 1399, 471, 6337, 2789, 32727, 1, 3, 5, 1, 29, 9, 101, 195,
    371, 573, 1361, 521, 5737, 4845, 4871, 1, 1, 7, 9, 9, 11, 43, 129, 295,
    1015, 665, 451, 1249, 7733, 8861, 1, 1, 1, 11, 19, 31, 127, 171, 341, 865,
    1391, 955, 5585, 1481, 1311, 1, 3, 1, 11, 19, 43, 113, 83, 285, 865, 815,
    807, 779, 6685, 22315, 1, 1, 1, 11, 1, 19, 99, 19, 455, 155, 637, 2153,
    3013, 4791, 20619, 1, 1, 1, 1, 13, 39, 95, 229, 35, 515, 1945, 3631, 3359,
    7913, 8081, 1, 3, 7, 13, 1, 5, 25, 227, 487, 269, 1213, 303, 4041, 15847,
    1125, 1, 1, 3, 7, 27, 53, 121, 143, 1, 977, 1963, 807, 253, 7649, 16047,
    1, 3, 5, 9, 29, 17, 97, 93, 83, 739, 1221, 963, 6849, 4307, 17277, 1,
    1, 7, 1, 27, 55, 71, 177, 63, 11, 1781, 3341, 2797, 8035, 6135, 1, 1,
    1, 11, 15, 43, 59, 107, 485, 995, 1571, 1527, 2195, 4883, 32563, 1, 3, 5,
    15, 7, 45, 55, 211, 425, 771, 621, 1141, 5277, 13575, 203, 1, 1, 7, 1,
    21, 51, 81, 41, 71, 551, 839, 3315, 5075, 3651, 6649, 1, 1, 1, 9, 17,
    45, 51, 211, 349, 329, 987, 3153, 7121, 16101, 1475, 1, 3, 3, 9, 5, 5,
    99, 17, 245, 827, 231, 949, 2577, 12925, 2055, 1, 1, 5, 1, 19, 59, 75,
    97, 303, 649, 901, 3987, 1209, 14483, 25855, 1, 3, 7, 15, 25, 51, 5, 69,
    199, 845, 1847, 1491, 6183, 3359, 11809, 1, 1, 5, 5, 19, 43, 17, 113, 215,
    337, 583, 2199, 6375, 499, 11283, 1, 1, 5, 15, 5, 3, 45, 219, 375, 269,
    1251, 2711, 7897, 3379, 11887, 1, 1, 7, 13, 3, 59, 17, 41, 275, 1007, 711,
    1689, 3727, 14237, 32057, 1, 3, 5, 7, 5, 27, 73, 167, 295, 581, 233, 585,
    7207, 12709, 3847, 1, 1, 7, 5, 9, 17, 65, 15, 439, 385, 455, 1073, 5727,
    2679, 3689, 1, 1, 7, 5, 7, 63, 111, 161, 85, 295, 755, 2805, 3031, 4833,
    11149, 1, 1, 5, 7, 13, 53, 63, 47, 163, 275, 289, 1377, 639, 15367, 32517,
    1, 1, 7, 9, 21, 43, 123, 221, 451, 901, 1339, 3367, 2531, 9319, 4461, 1,
    3, 3, 9, 3, 53, 87, 117, 471, 349, 1487, 2375, 7399, 8561, 19611, 1, 3,
    1, 7, 29, 55, 53, 197, 301, 701, 357, 3651, 2233, 6365, 705, 1, 3, 5,
    3, 17, 19, 23, 17, 433, 979, 1377, 213, 3993, 3773, 24369, 1, 3, 5, 5,
    17, 9, 105, 149, 145, 751, 1173, 1831, 7005, 3559, 10913, 1, 3, 1, 9, 23,
    47, 83, 213, 135, 223, 937, 3607, 7375, 4731, 14307, 1, 1, 7, 3, 23, 21,
    71, 241, 399, 199, 289, 2049, 7959, 14897, 18661, 1, 3, 3, 9, 13, 45, 125,
    217, 325, 893, 1523, 2477, 7829, 15737, 2127, 1, 1, 5, 1, 21, 51, 117, 203,
    253, 713, 545, 191, 729, 8403, 8381, 1, 3, 7, 7, 11, 23, 3, 193, 421,
    341, 1309, 2457, 5805, 7457, 26857, 1, 3, 7, 15, 1, 17, 27, 159, 127, 713,
    1465, 3551, 7409, 7957, 2317, 1, 3, 1, 15, 7, 33, 17, 1, 237, 199, 527,
    3361, 3785, 13111, 19119, 1, 3, 3, 1, 23, 37, 91, 31, 35, 969, 661, 85,
    5917, 10895, 11049, 1, 3, 1, 7, 23, 53, 101, 181, 381, 159, 1967, 3427, 4499,
    6877, 12155, 1, 3, 3, 13, 9, 57, 77, 27, 223, 101, 1709, 3023, 6655, 6221,
    1027, 1, 3, 5, 7, 19, 47, 73, 175, 103, 35, 1039, 343, 6757, 11521, 24495,
    1, 3, 1, 9, 17, 19, 9, 205, 279, 373, 173, 3641, 3945, 10831, 15621, 1,
    1, 3, 13, 29, 63, 71, 217, 367, 381, 647, 9, 5521, 5209, 24275, 1, 3,
    7, 7, 23, 15, 7, 203, 153, 655, 2047, 287, 973, 6757, 29207, 1, 1, 1,
    9, 17, 33, 63, 97, 49, 31, 1989, 569, 3321, 4017, 6437, 1, 1, 7, 11,
    15, 15, 57, 255, 381, 115, 573, 3903, 7141, 1569, 11789, 1, 1, 5, 13, 9,
    45, 69, 111, 91, 389, 1347, 3351, 3023, 517, 28373, 1, 3, 3, 15, 9, 11,
    81, 205, 299, 903, 661, 3377, 5355, 9151, 17597, 1, 1, 3, 9, 19, 55, 45,
    123, 285, 161, 1591, 1971, 5471, 8221, 2855, 1, 3, 5, 13, 23, 25, 87, 197,
    303, 487, 395, 3137, 4395, 5861, 5847, 1, 3, 7, 5, 23, 9, 107, 13, 127,
    971, 1701, 2387, 6195, 5041, 24857, 1, 1, 3, 3, 19, 63, 91, 205, 207, 897,
    295, 2093, 1223, 14599, 13803, 1, 1, 5, 1, 1, 25, 93, 33, 393, 221, 1845,
    2517, 1723, 13881, 15777, 1, 3, 5, 3, 1, 21, 115, 103, 377, 789, 541, 3423,
    3111, 8077, 25089, 1, 1, 1, 11, 31, 55, 95, 53, 141, 697, 1085, 3031, 653,
    4145, 28121, 1, 3, 1, 1, 7, 39, 55, 57, 447, 257, 101, 2307, 5623, 8505,
    995, 1, 3, 5, 11, 25, 37, 11, 203, 361, 281, 701, 3643, 957, 14541, 8109,
    1, 3, 1, 3, 21, 49, 57, 225, 21, 523, 1275, 3743, 6259, 13625, 26721, 1,
    1, 1, 1, 13, 53, 9, 167, 117, 971, 875, 2659, 7589, 13575, 11659, 1, 1,
    7, 13, 21, 1, 35, 201, 261, 533, 1069, 1459, 5433, 7211, 3535, 1, 1, 3,
    13, 23, 7, 41, 137, 341, 767, 1823, 3745, 1415, 4811, 21669, 1, 3, 3, 5,
    5, 11, 71, 117, 451, 1, 381, 967, 7977, 10741, 20141, 1, 3, 1, 3, 21,
    1, 65, 37, 451, 29, 327, 2471, 7573, 5051, 23925, 1, 3, 3, 11, 17, 61,
    97, 121, 327, 929, 1165, 185, 2343, 1479, 3817, 1, 1, 3, 7, 27, 55, 87,
    53, 389, 577, 1051, 2413, 609, 12651, 15695, 1, 3, 5, 13, 1, 41, 25, 149,
    175, 667, 1219, 2297, 6599, 1667, 19647, 1, 1, 3, 11, 17, 63, 83, 37, 425,
    675, 1111, 499, 7727, 7491, 9759, 1, 1, 3, 1, 21, 23, 17, 125, 485, 643,
    341, 1159, 7073, 14405, 22409, 1, 3, 7, 15, 15, 53, 23, 17, 365, 101, 685,
    1391, 5123, 14961, 31179, 1, 3, 3, 3, 23, 11, 101, 139, 401, 779, 1723, 3421,
    623, 3443, 17179, 1, 1, 1, 7, 13, 19, 93, 129, 127, 389, 1361, 2341, 6491,
    15063, 8199, 1, 1, 7, 1, 31, 1, 55, 169, 373, 69, 539, 513, 6329, 393,
    21963, 1, 1, 7, 1, 5, 39, 73, 87, 401, 923, 1747, 565, 2227, 14509, 7601,
    1, 3, 3, 1, 25, 3, 77, 207, 149, 591, 1165, 3235, 7615, 12237, 20849, 1,
    3, 1, 11, 21, 41, 83, 109, 265, 349, 485, 1411, 2705, 13017, 25205, 1, 1,
    7, 7, 31, 27, 55, 23, 129, 369, 1785, 2031, 1993, 123, 20063, 1, 3, 5,
    9, 9, 45, 75, 37, 69, 957, 2047, 2515, 5327, 15345, 2147, 1, 3, 1, 7,
    5, 57, 91, 19, 499, 173, 765, 3653, 6397, 1509, 11223, 1, 3, 5, 15, 1,
    15, 69, 107, 225, 233, 1015, 807, 4265, 8823, 22047, 1, 1, 7, 13, 15, 55,
    15, 83, 49, 711, 935, 1865, 29, 607, 8113, 1, 3, 1, 15, 13, 15, 127,
    193, 219, 653, 1787, 905, 3311, 11595, 21193, 1, 3, 5, 11, 21, 51, 67, 97,
    371, 367, 1763, 2953, 3701, 15983, 18631, 1, 1, 5, 9, 13, 1, 83, 15, 305,
    939, 1073, 1577, 2073, 5335, 17173, 1, 3, 5, 7, 19, 7, 27, 213, 357, 681,
    1969, 4007, 7887, 11191, 19395, 1, 1, 5, 3, 19, 29, 119, 239, 123, 559, 1613,
    1563, 8047, 5753, 26719, 1, 3, 7, 5, 3, 3, 127, 241, 333, 453, 1407, 2687,
    4603, 3637, 23041, 1, 1, 1, 15, 17, 9, 7, 31, 145, 613, 1851, 1981, 3921,
    6469, 32397, 1, 1, 5, 3, 9, 39, 113, 79, 165, 359, 1573, 2311, 651, 7047,
    15961, 1, 3, 7, 7, 11, 57, 59, 153, 363, 279, 77, 3085, 5971, 29, 22087,
    1, 1, 7, 11, 25, 47, 49, 229, 147, 777, 1177, 1117, 3783, 3681, 1465, 1,
    3, 5, 11, 3, 45, 11, 139, 393, 9, 471, 1643, 4963, 5837, 17023, 1, 3,
    1, 7, 5, 41, 123, 113, 223, 237, 239, 1099, 6065, 11105, 10259, 1, 1, 3,
    11, 15, 57, 41, 173, 169, 585, 201, 2133, 2629, 12861, 16559, 1, 1, 7, 5,
    9, 27, 3, 157, 279, 393, 1849, 437, 5549, 10009, 11783, 1, 1, 7, 9, 17,
    23, 67, 143, 1, 203, 153, 1699, 1333, 16001, 11755, 1, 3, 5, 15, 17, 61,
    59, 235, 67, 393, 1597, 3523, 2049, 11887, 7737, 1, 3, 5, 13, 21, 45, 5,
    221, 299, 887, 699, 959, 1143, 4879, 8767, 1, 3, 7, 15, 11, 35, 83, 237,
    167, 1, 1429, 2877, 4611, 14881, 4453, 1, 3, 5, 3, 7, 55, 21, 237, 9,
    743, 1707, 1229, 6827, 407, 777, 1, 3, 7, 3, 15, 39, 3, 127, 163, 747,
    1773, 1569, 2377, 15023, 32249, 1, 1, 7, 7, 19, 33, 1, 55, 319, 585, 413,
    1241, 95, 7163, 29935, 1, 3, 1, 1, 7, 51, 77, 197, 481, 517, 1441, 1779,
    1405, 3633, 32545, 1, 3, 7, 5, 13, 51, 69, 35, 131, 115, 1759, 3991, 8065,
    10311, 12749, 1, 3, 3, 5, 5, 35, 37, 181, 371, 543, 1389, 815, 3261, 11997,
    29665, 1, 3, 7, 11, 31, 47, 33, 147, 445, 663, 63, 1033, 6081, 15523, 28477,
    1, 1, 7, 11, 11, 9, 1, 39, 357, 873, 1829, 3245, 3219, 601, 1335, 1,
    1, 5, 7, 5, 5, 33, 145, 465, 5, 1959, 3573, 3791, 8689, 14513, 1, 1,
    1, 13, 31, 37, 103, 255, 87, 903, 1325, 1423, 8031, 14845, 12261, 1, 3, 3,
    13, 31, 25, 41, 45, 261, 225, 1711, 641, 2331, 10825, 21539, 1, 3, 1, 9,
    9, 33, 23, 135, 165, 363, 1435, 3019, 4907, 9791, 1337, 1, 3, 3, 3, 13,
    23, 109, 161, 107, 829, 1635, 791, 2757, 15265, 8771, 1, 1, 1, 11, 7, 17,
    45, 167, 69, 437, 1051, 1443, 875, 2461, 28471, 1, 3, 5, 11, 23, 43, 55,
    69, 365, 497, 1529, 1101, 211, 8145, 10579, 1, 1, 5, 3, 19, 9, 91, 91,
    453, 875, 1815, 1455, 7969, 5621, 4773, 1, 1, 5, 1, 17, 63, 19, 193, 335,
    571, 703, 919, 773, 1789, 17839, 1, 1, 5, 7, 1, 57, 11, 171, 11, 833,
    191, 1719, 7649, 11005, 20171, 1, 1, 7, 15, 25, 55, 63, 71, 127, 445, 1151,
    2709, 6633, 4959, 13511, 1, 1, 3, 1, 3, 41, 43, 59, 211, 123, 987, 3701,
    6391, 6755, 3069, 1, 1, 3, 11, 5, 3, 93, 29, 233, 365, 117, 1483, 4917,
    1949, 23697, 1, 3, 5, 1, 15, 53, 21, 9, 23, 701, 1337, 2591, 7719, 14063,
    28453, 1, 1, 1, 11, 21, 3, 127, 179, 409, 261, 1683, 3197, 1999, 10009, 25031,
    1, 3, 5, 13, 31, 57, 9, 91, 31, 125, 1831, 1943, 5931, 15015, 22269, 1,
    3, 5, 9, 7, 7, 83, 113, 203, 679, 1279, 3403, 7069, 8617, 27827, 1, 3,
    7, 5, 29, 47, 93, 59, 315, 107, 807, 2861, 2345, 11787, 6543, 1, 3, 1,
    7, 21, 25, 3, 35, 345, 833, 2029, 281, 2389, 11529, 20647, 1, 1, 1, 13,
    19, 47, 109, 21, 251, 625, 1699, 2169, 7293, 14035, 24277, 1, 3, 5, 13, 15,
    7, 51, 125, 423, 981, 437, 1021, 5209, 11447, 26181, 1, 3, 1, 1, 15, 41,
    75, 227, 13, 85, 675, 3993, 8163, 8095, 23801, 1, 3, 3, 9, 25, 1, 85,
    143, 309, 815, 1271, 1331, 6565, 369, 7975, 1, 1, 7, 1, 21, 45, 113, 153,
    283, 117, 1481, 3527, 3371, 15801, 22337, 1, 3, 5, 1, 17, 47, 107, 25, 373,
    549, 1387, 1247, 2307, 6469, 24327, 1, 1, 5, 15, 9, 57, 43, 179, 157, 119,
    547, 3665, 1495, 13405, 2391, 1, 3, 1, 1, 7, 57, 123, 189, 281, 87, 1559,
    2863, 8017, 10279, 32005, 1, 1, 5, 1, 29, 21, 51, 123, 351, 683, 1505, 681,
    49, 2929, 7591, 1, 1, 3, 7, 17, 63, 119, 209, 441, 717, 567, 1283, 1007,
    14661, 32383, 1, 3, 1, 7, 27, 41, 41, 157, 487, 257, 1267, 165, 1023, 16065,
    16431, 1, 1, 3, 9, 17, 53, 51, 175, 367, 453, 1445, 1889, 4567, 1781, 6543,
    1, 1, 7, 1, 27, 47, 95, 51, 483, 581, 1617, 685, 3017, 4889, 6185, 1,
    3, 3, 9, 29, 23, 9, 23, 165, 3, 279, 861, 1007, 9607, 24999, 1, 1,
    1, 5, 11, 59, 55, 135, 399, 729, 683, 2119, 3781, 15525, 1125, 1, 3, 3,
    15, 25, 61, 123, 153, 267, 823, 951, 4069, 8017, 4899, 6535, 1, 1, 7, 11,
    5, 43, 5, 123, 57, 229, 129, 131, 7491, 2105, 16411, 1, 1, 5, 11, 9,
    37, 123, 211, 331, 623, 1469, 1155, 6327, 12591, 18971, 1, 1, 1, 11, 17, 35,
    59, 137, 451, 829, 365, 305, 5857, 2095, 14597, 1, 3, 7, 7, 15, 11, 23,
    201, 247, 883, 1103, 4035, 5915, 4275, 12511, 1, 3, 7, 1, 27, 19, 87, 189,
    91, 113, 237, 2073, 419, 1339, 16705, 1, 3, 7, 7, 15, 59, 99, 237, 167,
    327, 1507, 771, 3743, 1723, 28873, 1, 3, 5, 15, 27, 19, 35, 175, 403, 1,
    617, 2425, 2021, 12547, 23655, 1, 1, 7, 1, 7, 1, 45, 169, 43, 501, 1653,
    593, 7219, 5501, 3671, 1, 1, 5, 3, 23, 53, 117, 165, 329, 177, 89, 2269,
    7897, 11225, 25807, 1, 1, 5, 11, 25, 41, 91, 43, 107, 699, 1745, 3117, 7497,
    6579, 21803, 1, 3, 3, 13, 19, 9, 103, 65, 413, 459, 1751, 4025, 6695, 9589,
    1443, 1, 3, 5, 15, 31, 31, 23, 251, 343, 809, 283, 1501, 445, 7945, 26993,
    1, 3, 7, 11, 1, 11, 113, 235, 127, 45, 109, 2421, 3955, 1017, 21497, 1,
    3, 1, 13, 5, 57, 47, 227, 447, 499, 1755, 3527, 1625, 13341, 22301, 1, 3,
    1, 9, 13, 9, 113, 101, 377, 39, 991, 3791, 7351, 12841, 2911, 1, 1, 3,
    1, 1, 31, 111, 85, 247, 387, 1907, 3061, 569, 5845, 6729, 1, 3, 7, 15,
    31, 17, 77, 33, 109, 661, 67, 3725, 955, 9475, 14345, 1, 1, 7, 15, 11,
    23, 63, 23, 67, 843, 1747, 2441, 2063, 8575, 11921, 1, 3, 5, 13, 25, 19,
    43, 177, 67, 57, 1127, 3817, 3097, 6143, 27757, 1, 1, 3, 1, 19, 25, 65,
    135, 143, 863, 1013, 1285, 6133, 13491, 5093, 1, 3, 5, 15, 7, 17, 61, 199,
    39, 767, 295, 127, 335, 10789, 20473, 1, 3, 3, 15, 15, 51, 87, 75, 439,
    71, 1371, 1911, 1145, 4201, 26883, 1, 1, 3, 11, 3, 15, 79, 237, 43, 375,
    1925, 1517, 6415, 303, 2217, 1, 3, 1, 3, 21, 23, 19, 83, 159, 249, 1297,
    1853, 2609, 13635, 29119, 1, 1, 3, 9, 29, 53, 125, 73, 299, 45, 557, 3641,
    1593, 10585, 22545, 1, 1, 3, 9, 13, 45, 53, 245, 401, 635, 785, 2841, 3033,
    12377, 1235, 1, 1, 3, 11, 23, 35, 71, 207, 211, 901, 351, 1473, 6683, 981,
    17449, 1, 1, 3, 9, 17, 13, 125, 213, 109, 631, 677, 2141, 1037, 6119, 25945,
    1, 3, 7, 1, 29, 3, 53, 23, 45, 347, 27, 1537, 7833, 16315, 12337, 1,
    3, 1, 1, 31, 23, 15, 241, 315, 977, 99, 3067, 3227, 6153, 9751, 1, 1,
    7, 7, 13, 33, 5, 5, 29, 547, 1105, 1135, 7263, 7421, 9545, 1, 3, 7,
    13, 19, 25, 53, 239, 65, 417, 1681, 659, 133, 4113, 16735, 1, 3, 7, 5,
    3, 55, 57, 33, 357, 885, 941, 3471, 6863, 777, 19111, 1, 1, 1, 9, 27,
    47, 65, 161, 115, 577, 1951, 363, 2045, 2497, 6931, 1, 3, 3, 11, 29, 37,
    21, 235, 233, 833, 81, 2875, 4759, 8435, 16017, 1, 1, 3, 7, 9, 57, 89,
    21, 291, 445, 1833, 735, 3935, 14943, 30987, 1, 1, 5, 13, 23, 9, 37, 71,
    175, 899, 1897, 707, 6201, 15543, 13801, 1, 3, 7, 1, 13, 25, 17, 209, 455,
    969, 755, 397, 4103, 3159, 28665, 1, 1, 1, 5, 15, 7, 17, 249, 299, 423,
    83, 1203, 7397, 15657, 15661, 1, 1, 7, 7, 19, 19, 21, 231, 443, 729, 947,
    1451, 3399, 5691, 11943, 1, 1, 5, 7, 15, 11, 89, 211, 459, 3, 741, 105,
    1147, 927, 31805, 1, 1, 7, 9, 7, 1, 61, 145, 291, 1021, 221, 821, 4999,
    3165, 22549, 1, 1, 1, 7, 5, 41, 101, 137, 143, 249, 87, 4045, 2301, 3833,
    9841, 1, 1, 5, 5, 19, 61, 111, 109, 87, 65, 971, 3943, 6559, 9647, 3049,
    1, 1, 1, 13, 9, 11, 41, 61, 145, 27, 1287, 3537, 1943, 10635, 32557, 1,
    3, 5, 7, 17, 35, 29, 177, 5, 131, 465, 1235, 1383, 14253, 17595, 1, 1,
    3, 7, 15, 63, 21, 119, 195, 627, 1635, 2369, 5549, 7641, 29481, 1, 1, 7,
    13, 25, 3, 73, 233, 115, 749, 707, 1939, 3667, 1899, 22345, 1, 1, 5, 9,
    15, 33, 17, 91, 507, 289, 1929, 2001, 629, 15559, 12725, 1, 1, 1, 13, 7,
    7, 91, 171, 95, 257, 1611, 3527, 2769, 5779, 7783, 1, 1, 1, 13, 27, 27,
    55, 113, 171, 61, 1229, 3681, 4487, 9815, 20357, 1, 3, 7, 15, 1, 21, 57,
    67, 185, 189, 1673, 3637, 2987, 4619, 6339, 1, 3, 7, 3, 9, 45, 71, 183,
    107, 145, 821, 1115, 6067, 8301, 7565, 1, 3, 5, 1, 21, 29, 85, 9, 427,
    553, 887, 2463, 4023, 9107, 25405, 1, 1, 5, 13, 25, 45, 89, 235, 349, 671,
    1667, 2023, 2385, 1831, 515, 1, 1, 1, 11, 17, 37, 95, 77, 445, 169, 829,
    9, 2589, 12809, 32469, 1, 1, 5, 5, 23, 31, 117, 81, 275, 861, 1439, 4041,
    3337, 14945, 15921, 1, 1, 3, 13, 9, 21, 121, 23, 133, 563, 1889, 1939, 4427,
    5501, 4609, 1, 1, 7, 7, 17, 25, 7, 245, 319, 697, 1561, 3209, 2369, 16045,
    31799, 1, 1, 7, 5, 13, 19, 83, 165, 457, 1005, 743, 4049, 2563, 14487, 23699,
    1, 1, 7, 1, 5, 25, 65, 185, 27, 235, 1771, 3505, 6807, 14715, 19841, 1,
    1, 7, 11, 15, 15, 19, 111, 99, 397, 315, 2587, 7335, 4371, 11753, 1, 1,
    7, 9, 1, 21, 55, 255, 105, 865, 179, 2127, 4485, 1803, 19503, 1, 3, 7,
    13, 27, 23, 9, 9, 323, 421, 671, 3323, 5263, 2963, 16065, 1, 1, 5, 7,
    17, 47, 79, 255, 259, 913, 1691, 1553, 2443, 14167, 24499, 1, 3, 3, 3, 21,
    7, 17, 71, 57, 715, 2023, 2133, 5439, 12483, 32547, 1, 3, 3, 15, 1, 37,
    23, 235, 35, 739, 1767, 3531, 597, 13259, 7869, 1, 3, 3, 9, 7, 5, 29,
    129, 223, 991, 31, 375, 1917, 1157, 9723, 1, 3, 5, 5, 29, 33, 33, 73,
    339, 21, 2037, 1127, 6385, 16335, 25825, 1, 3, 7, 7, 7, 49, 103, 235, 503,
    687, 277, 2639, 5997, 11797, 27141, 1, 1, 1, 13, 27, 31, 103, 145, 245, 493,
    867, 2075, 5369, 12551, 4907, 1, 3, 1, 5, 19, 57, 101, 165, 61, 201, 1299,
    3081, 8173, 12835, 7915, 1, 3, 5, 3, 29, 23, 49, 41, 473, 273, 1493, 1915,
    6669, 14263, 13385, 1, 1, 5, 9, 21, 27, 49, 73, 281, 1017, 1905, 1005, 631,
    5963, 5729, 1, 3, 3, 5, 9, 25, 1, 155, 275, 675, 831, 109, 5349, 9607,
    22431, 1, 1, 1, 3, 11, 33, 43, 63, 293, 425, 1525, 4091, 1865, 13187, 25191,
    1, 1, 1, 7, 27, 25, 89, 39, 11, 961, 1601, 785, 3317, 13121, 13647, 1,
    1, 7, 1, 31, 59, 25, 75, 317, 305, 1585, 3649, 7099, 1819, 10977, 1, 3,
    7, 5, 7, 29, 85, 189, 137, 783, 395, 1887, 6253, 4043, 32279, 1, 1, 3,
    7, 15, 47, 53, 125, 325, 579, 1783, 3393, 485, 13923, 4947, 1, 3, 5, 1,
    19, 53, 67, 47, 503, 875, 1717, 857, 5151, 12279, 21249, 1, 1, 5, 11, 1,
    53, 49, 211, 139, 955, 1129, 1967, 6833, 2923, 13251, 1, 3, 3, 9, 15, 53,
    103, 71, 51, 379, 1565, 2017, 6013, 13147, 1227, 1, 3, 3, 1, 17, 25, 105,
    177, 275, 969, 1373, 2471, 6959, 11107, 23657, 1, 3, 1, 13, 15, 3, 19, 145,
    309, 1021, 985, 2385, 5727, 10357, 4915, 1, 3, 1, 9, 27, 33, 63, 115, 369,
    613, 277, 751, 1959, 5709, 1851, 1, 1, 7, 7, 11, 31, 95, 131, 383, 821,
    725, 1381, 3953, 14945, 29101, 1, 1, 1, 11, 1, 59, 81, 89, 325, 27, 1865,
    987, 3877, 12509, 4129, 1, 3, 5, 7, 3, 33, 63, 141, 429, 847, 1355, 1451,
    4741, 5427, 16907, 1, 3, 5, 9, 25, 45, 27, 249, 453, 673, 1519, 905, 5235,
    10057, 24965, 1, 1, 5, 3, 27, 43, 91, 61, 121, 485, 1047, 405, 8159, 8363,
    19695, 1, 1, 3, 9, 17, 5, 107, 139, 293, 685, 521, 253, 3309, 15335, 4967,
    1, 1, 7, 13, 7, 43, 63, 119, 225, 269, 1489, 2983, 1041, 15149, 21039, 1,
    3, 1, 5, 5, 1, 123, 255, 469, 139, 1861, 385, 3123, 14739, 23049, 1, 3,
    5, 9, 25, 47, 107, 55, 435, 935, 1751, 555, 973, 10123, 31869, 1, 3, 7,
    5, 21, 25, 113, 169, 313, 607, 631, 3409, 6539, 5781, 12681, 1, 1, 3, 15,
    7, 13, 1, 245, 57, 495, 905, 1627, 7107, 13939, 22091, 1, 1, 1, 5, 7,
    55, 121, 137, 93, 265, 1263, 2251, 7101, 3095, 13779, 1, 1, 5, 13, 21, 11,
    37, 193, 481, 551, 1659, 563, 4405, 9541, 8495, 1, 1, 3, 15, 5, 7, 23,
    19, 147, 779, 1089, 723, 3837, 16291, 23911, 1, 1, 1, 11, 27, 17, 57, 191,
    337, 361, 1261, 3605, 8051, 8909, 14951, 1, 3, 3, 9, 25, 23, 39, 109, 107,
    605, 373, 649, 5747, 2037, 24933, 1, 3, 5, 7, 9, 27, 91, 53, 153, 497,
    941, 2999, 3721, 11115, 17589, 1, 3, 1, 7, 31, 7, 101, 115, 419, 479, 1097,
    2253, 4365, 14285, 26469, 1, 1, 1, 15, 13, 37, 31, 231, 195, 539, 941, 3723,
    2483, 2603, 18897, 1, 3, 5, 13, 7, 31, 19, 99, 197, 833, 79, 3899, 7045,
    6913, 17959, 1, 1, 3, 5, 1, 51, 83, 135, 307, 121, 187, 2135, 2927, 6183,
    20327, 1, 3, 5, 11, 7, 31, 47, 123, 409, 239, 1787, 3063, 6685, 7487, 31243,
    1, 3, 7, 9, 9, 31, 57, 5, 493, 771, 1941, 199, 6389, 681, 19379, 1,
    1, 5, 3, 1, 57, 63, 35, 369, 267, 923, 2019, 6487, 15555, 6993, 1, 3,
    7, 15, 15, 59, 123, 179, 5, 35, 1061, 125, 1025, 5907, 29671, 1, 3, 1,
    11, 21, 63, 71, 237, 333, 893, 1139, 1969, 2007, 10017, 27597, 1, 1, 1, 13,
    15, 29, 103, 241, 25, 135, 1147, 1263, 4793, 16109, 22447, 1, 1, 3, 7, 11,
    21, 85, 7, 123, 69, 1379, 3243, 7907, 15859, 19993, 1, 3, 5, 3, 17, 49,
    125, 211, 165, 307, 1331, 2287, 1127, 4031, 13719, 1, 1, 7, 1, 23, 23, 21,
    159, 387, 443, 291, 2843, 4413, 9035, 28887, 1, 1, 7, 15, 9, 25, 113, 185,
    285, 211, 317, 3721, 6921, 4921, 2353, 1, 1, 3, 5, 21, 9, 53, 21, 337,
    51, 429, 4035, 4697, 3695, 22589, 1, 1, 5, 5, 21, 63, 79, 213, 471, 183,
    299, 409, 6125, 3653, 9785, 1, 3, 3, 3, 27, 27, 9, 73, 129, 391, 1877,
    4023, 1631, 7101, 1491, 1, 3, 5, 3, 21, 7, 93, 51, 469, 3, 1343, 3827,
    6623, 10149, 29233, 1, 1, 1, 9, 31, 25, 35, 249, 469, 393, 1315, 1247, 275,
    15841, 23877, 1, 3, 5, 11, 25, 47, 105, 45, 79, 131, 499, 1411, 2077, 9809,
    14917, 1, 3, 3, 3, 13, 15, 117, 27, 499, 885, 301, 935, 3443, 3845, 26873,
    1, 3, 3, 1, 1, 47, 21, 97, 245, 95, 899, 993, 2493, 5249, 32695, 1,
    3, 3, 11, 21, 39, 53, 15, 53, 687, 1269, 1673, 2015, 3205, 21447, 1, 1,
    5, 11, 1, 39, 117, 85, 277, 635, 1459, 3977, 2449, 13341, 30607, 1, 1, 1,
    13, 27, 45, 7, 255, 281, 807, 533, 2173, 4561, 2501, 5767, 1, 3, 5, 1,
    21, 17, 65, 123, 239, 431, 1003, 241, 8115, 11633, 27709, 1, 3, 1, 1, 23,
    39, 81, 35, 33, 905, 2019, 3327, 1197, 6891, 5521, 1, 3, 3, 11, 1, 51,
    51, 153, 23, 685, 1663, 3167, 5803, 11111, 3371, 1, 3, 3, 11, 31, 29, 7,
    173, 27, 129, 341, 2971, 4907, 13481, 19619, 1, 3, 3, 9, 29, 29, 115, 3,
    45, 765, 385, 3775, 5349, 8809, 11019, 1, 1, 5, 7, 15, 19, 21, 29, 377,
    915, 1835, 517, 3763, 5439, 7649, 1, 3, 7, 13, 25, 27, 33, 225, 135, 869,
    1383, 3817, 2981, 8185, 5689, 1, 1, 5, 9, 1, 27, 19, 55, 39, 451, 365,
    2905, 4311, 16005, 4537, 1, 1, 7, 15, 19, 1, 99, 177, 163, 877, 511, 1977,
    3291, 7739, 6383, 1, 1, 7, 15, 1, 29, 27, 1, 411, 425, 2027, 1739, 5137,
    107, 3515, 1, 3, 7, 5, 5, 29, 15, 55, 423, 671, 1145, 2403, 5429, 11507,
    24747, 1, 1, 1, 13, 9, 61, 93, 215, 447, 969, 853, 487, 5735, 2153, 27857,
    1, 3, 1, 3, 29, 41, 47, 245, 197, 261, 77, 805, 965, 14089, 29199, 1,
    1, 5, 11, 3, 49, 53, 7, 91, 123, 413, 123, 7611, 11493, 16417, 1, 3,
    7, 9, 23, 59, 105, 191, 13, 421, 1541, 2045, 2821, 9769, 19893, 1, 3, 5,
    13, 3, 19, 37, 229, 465, 1015, 1871, 1101, 7515, 8547, 7853, 1, 3, 5, 13,
    9, 61, 113, 209, 503, 441, 905, 2693, 1827, 9551, 26081, 1, 1, 1, 7, 31,
    27, 123, 37, 415, 729, 921, 453, 673, 14393, 9139, 1, 1, 5, 3, 13, 9,
    79, 243, 211, 89, 295, 3663, 8165, 12099, 1413, 1, 1, 5, 7, 23, 33, 33,
    129, 51, 965, 1145, 713, 8143, 10045, 5291, 1, 1, 3, 3, 11, 45, 77, 223,
    423, 1021, 343, 3103, 119, 3371, 24053, 1, 1, 7, 7, 7, 3, 65, 31, 433,
    277, 1541, 2001, 121, 13543, 6723, 1, 1, 7, 1, 1, 15, 83, 85, 351, 351,
    1063, 3989, 5739, 11939, 28009, 1, 1, 5, 11, 25, 57, 73, 127, 25, 67, 1789,
    199, 6373, 10945, 17839, 1, 3, 5, 11, 17, 15, 5, 191, 209, 455, 89, 2611,
    7557, 16167, 25993, 1, 1, 7, 7, 29, 21, 79, 81, 257, 373, 557, 2363, 5497,
    8343, 2011, 1, 1, 5, 11, 25, 63, 83, 31, 477, 201, 2013, 3349, 3517, 9527,
    14883, 1, 3, 7, 13, 21, 13, 41, 151, 359, 829, 661, 1959, 6109, 13757, 17677,
    1, 3, 7, 1, 11, 15, 119, 25, 351, 135, 515, 3727, 5701, 5283, 18771, 1,
    1, 1, 3, 3, 59, 55, 117, 269, 161, 645, 3459, 8173, 7193, 10275, 1, 3,
    5, 7, 21, 25, 53, 211, 237, 775, 43, 3613, 5555, 1689, 1781, 1, 1, 1,
    7, 31, 43, 71, 201, 371, 457, 1757, 2529, 7067, 2987, 3945, 1, 1, 5, 7,
    15, 47, 29, 83, 259, 813, 881, 1901, 6635, 8515, 20385, 1, 1, 5, 5, 3,
    45, 55, 43, 17, 179, 1801, 49, 8121, 9333, 12701, 1, 1, 3, 9, 21, 9,
    55, 59, 275, 775, 1567, 1557, 3465, 5727, 12881, 1, 1, 1, 5, 21, 63, 81,
    27, 139, 859, 1211, 3787, 1179, 4045, 26225, 1, 3, 7, 3, 7, 5, 99, 125,
    499, 437, 1141, 3557, 5349, 2701, 25741, 1, 1, 5, 1, 7, 59, 65, 117, 201,
    351, 1063, 3083, 6637, 5969, 23037, 1, 3, 7, 7, 25, 45, 115, 31, 351, 203,
    1791, 2931, 7127, 12117, 10781, 1, 1, 3, 3, 29, 59, 85, 101, 147, 219, 1293,
    1645, 7653, 649, 32221, 1, 1, 7, 5, 29, 51, 127, 139, 205, 77, 859, 2277,
    2333, 105, 9053, 1, 3, 5, 3, 29, 23, 119, 71, 263, 551, 1095, 359, 6223,
    7665, 1095, 1, 3, 1, 11, 13, 47, 11, 207, 507, 139, 1383, 1339, 4111, 11685,
    12607, 1, 3, 7, 3, 25, 9, 87, 117, 21, 289, 351, 225, 4045, 5275, 531,
    1, 3, 7, 3, 29, 55, 31, 57, 83, 423, 201, 4055, 1977, 8891, 17961, 1,
    1, 1, 3, 9, 7, 45, 237, 413, 53, 1063, 23, 6615, 16359, 4743, 1, 3,
    1, 3, 21, 57, 63, 221, 111, 95, 647, 3419, 1919, 923, 8357, 1, 1, 1,
    3, 27, 25, 119, 237, 397, 73, 41, 17, 6839, 15695, 30365, 1, 3, 1, 1,
    23, 59, 107, 121, 267, 163, 181, 2289, 167, 7077, 12895, 1, 1, 5, 5, 15,
    45, 45, 179, 195, 95, 43, 377, 629, 11983, 23439, 1, 3, 3, 9, 17, 43,
    67, 143, 223, 243, 209, 3, 7651, 12607, 3927, 1, 3, 1, 11, 19, 21, 59,
    75, 353, 509, 1215, 3223, 2373, 3873, 20391, 1, 1, 7, 3, 7, 9, 53, 89,
    407, 987, 1165, 2473, 4295, 2531, 5615, 1, 1, 3, 11, 23, 7, 111, 147, 49,
    627, 1769, 3497, 2807, 4743, 26491, 1, 3, 3, 13, 29, 29, 83, 57, 377, 581,
    1699, 1689, 2297, 1377, 24551, 1, 3, 5, 15, 25, 33, 41, 187, 195, 647, 73,
    619, 5585, 8379, 26079, 1, 1, 3, 9, 3, 47, 105, 83, 501, 843, 1867, 1855,
    6347, 3269, 26155, 1, 3, 3, 15, 29, 33, 117, 141, 171, 801, 1489, 1, 4081,
    15529, 4081, 1, 1, 3, 13, 21, 43, 13, 75, 75, 443, 1443, 3227, 907, 11821,
    24209, 1, 1, 3, 3, 31, 31, 111, 193, 275, 545, 371, 3071, 3491, 6661, 1113,
    1, 1, 7, 3, 11, 39, 17, 107, 303, 201, 321, 3083, 6839, 4381, 3449, 1,
    1, 7, 15, 31, 21, 7, 143, 211, 369, 369, 323, 3811, 5131, 11425, 1, 1,
    1, 3, 9, 27, 23, 21, 349, 607, 529, 1161, 5753, 6015, 20489, 1, 3, 7,
    11, 23, 17, 103, 97, 227, 933, 2011, 1705, 5185, 299, 5673, 1, 3, 5, 9,
    7, 45, 63, 43, 339, 299, 1617, 1393, 4507, 13513, 29039, 1, 1, 5, 5, 17,
    11, 49, 159, 51, 449, 497, 2627, 1541, 15711, 16591, 1, 1, 7, 3, 23, 19,
    53, 79, 133, 279, 327, 2847, 5825, 14429, 26491, 1, 3, 1, 3, 17, 3, 33,
    55, 263, 663, 1253, 1509, 4487, 1811, 32123, 1, 3, 7, 9, 17, 7, 23, 87,
    221, 183, 1577, 1373, 2717, 3323, 24573, 1, 3, 3, 9, 5, 51, 45, 11, 11,
    135, 505, 221, 3847, 13487, 23843, 1, 1, 5, 13, 15, 61, 85, 53, 321, 433,
    61, 3377, 3993, 15325, 8641, 1, 3, 7, 13, 27, 35, 57, 43, 509, 595, 2033,
    77, 7533, 5027, 15567, 1, 1, 1, 1, 31, 51, 69, 157, 105, 797, 249, 2033,
    2457, 10773, 31537, 1, 3, 3, 13, 23, 25, 75, 11, 145, 361, 819, 3689, 5751,
    6395, 30685, 1, 1, 7, 11, 13, 25, 13, 175, 11, 685, 835, 2641, 2037, 2037,
    2807, 1, 1, 7, 11, 21, 27, 115, 91, 21, 105, 1817, 2057, 2797, 3825, 23761,
    1, 3, 3, 5, 5, 49, 51, 57, 425, 959, 473, 575, 6851, 3683, 27429, 1,
    1, 7, 5, 29, 1, 65, 13, 447, 467, 1193, 4021, 275, 13453, 29749, 1, 3,
    5, 11, 27, 53, 71, 63, 125, 545, 1673, 3917, 6625, 12805, 2905, 1, 3, 3,
    1, 7, 1, 45, 65, 23, 237, 1573, 3445, 6307, 5015, 11263, 1, 1, 5, 1,
    7, 29, 67, 35, 307, 675, 727, 2789, 2353, 13241, 16621, 1, 3, 1, 15, 13,
    5, 115, 75, 21, 745, 2027, 265, 3583, 1365, 397, 1, 1, 5, 7, 9, 31,
    115, 25, 441, 433, 1665, 2499, 5765, 4001, 22105, 1, 3, 7, 9, 23, 21, 71,
    165, 353, 101, 1335, 3411, 1415, 12641, 21961, 1, 3, 7, 1, 3, 3, 21, 157,
    85, 117, 469, 1573, 2475, 6471, 15975, 1, 1, 7, 9, 31, 35, 127, 221, 447,
    697, 1393, 701, 7291, 4279, 2897, 1, 3, 5, 5, 21, 13, 15, 15, 395, 519,
    1985, 2331, 5483, 13905, 31549, 1, 1, 7, 5, 1, 43, 57, 131, 7, 893, 1631,
    1581, 6691, 6249, 4975, 1, 3, 3, 9, 29, 33, 51, 177, 423, 459, 1293, 2467,
    3877, 15653, 2727, 1, 3, 5, 1, 5, 45, 11, 27, 311, 645, 283, 65, 5913,
    12811, 20041, 1, 3, 7, 5, 19, 3, 39, 99, 269, 429, 1901, 2213, 6755, 1205,
    16073, 1, 3, 5, 13, 7, 37, 109, 113, 395, 981, 1991, 845, 2473, 3801, 24405,
    1, 1, 1, 15, 9, 31, 117, 213, 141, 867, 387, 1985, 1985, 12683, 20501, 1,
    1, 1, 15, 11, 3, 25, 31, 375, 437, 645, 335, 207, 14915, 2577, 1, 1,
    7, 7, 19, 61, 87, 107, 53, 777, 31, 3335, 157, 2927, 25905, 1, 1, 7,
    9, 13, 13, 21, 151, 51, 501, 213, 2177, 2821, 3081, 5955, 1, 1, 5, 13,
    19, 33, 5, 209, 283, 613, 281, 715, 297, 15033, 20489, 1, 3, 5, 5, 31,
    7, 31, 49, 5, 41, 939, 2359, 3663, 10151, 20457, 1, 1, 7, 1, 7, 61,
    69, 255, 17, 637, 863, 3351, 6033, 5005, 23107, 1, 1, 5, 3, 5, 61, 15,
    87, 111, 383, 1577, 3515, 789, 4219, 2527, 1, 1, 5, 11, 19, 9, 37, 61,
    329, 811, 1829, 3109, 397, 2065, 32001, 1, 3, 1, 9, 7, 13, 55, 7, 463,
    307, 1551, 3161, 649, 14073, 20839, 1, 3, 1, 9, 1, 43, 71, 87, 149, 557,
    857, 2739, 6269, 3297, 26067, 1, 3, 1, 5, 5, 29, 45, 159, 125, 389, 627,
    983, 755, 15585, 12555, 1, 1, 3, 7, 9, 53, 79, 29, 423, 423, 1493, 61,
    1631, 5157, 29845, 1, 3, 5, 9, 23, 27, 57, 235, 57, 833, 371, 1797, 4541,
    12491, 23127, 1, 3, 3, 1, 17, 1, 79, 87, 247, 987, 651, 3167, 4423, 831,
    16811, 1, 3, 3, 5, 15, 23, 51, 167, 421, 493, 1877, 1079, 4147, 13485, 28619,
    1, 1, 7, 13, 19, 15, 69, 31, 225, 597, 1477, 2363, 6969, 13221, 2561, 1,
    3, 1, 7, 19, 61, 75, 199, 103, 823, 375, 1301, 4349, 135, 5701, 1, 3,
    7, 11, 21, 25, 85, 249, 91, 885, 469, 1809, 4351, 14393, 19607, 1, 3, 5,
    1, 25, 19, 71, 111, 427, 523, 1691, 4085, 7587, 1949, 10471, 1, 3, 1, 11,
    27, 59, 13, 117, 155, 369, 1767, 2951, 6109, 13867, 13887, 1, 3, 3, 3, 31,
    53, 35, 101, 295, 653, 337, 2281, 7563, 8847, 15235, 1, 1, 7, 13, 3, 17,
    63, 251, 293, 861, 1539, 2409, 663, 1637, 22309, 1, 3, 7, 9, 13, 27, 41,
    81, 483, 901, 1963, 1855, 799, 10933, 14395, 1, 1, 3, 5, 19, 23, 97, 179,
    93, 657, 1361, 4019, 7577, 355, 4881, 1, 3, 3, 15, 23, 25, 101, 141, 91,
    37, 1165, 3509, 2445, 7675, 30803, 1, 1, 1, 5, 13, 53, 87, 197, 321, 297,
    277, 2159, 5457, 6463, 1797, 1, 3, 3, 7, 3, 3, 117, 5, 95, 527, 755,
    2865, 6359, 4859, 11395, 1, 3, 3, 13, 1, 49, 43, 247, 369, 351, 1277, 1639,
    3133, 4193, 26645, 1, 1, 1, 9, 27, 21, 59, 191, 365, 95, 337, 3279, 4455,
    8235, 12457, 1, 1, 7, 5, 9, 1, 7, 23, 117, 711, 1027, 613, 4729, 14415,
    15705, 1, 3, 1, 3, 29, 13, 43, 3, 117, 763, 1787, 2109, 4949, 7579, 24083,
    1, 1, 5, 11, 7, 61, 107, 113, 127, 495, 1167, 2871, 7187, 13235, 2037, 1,
    1, 5, 5, 13, 33, 23, 69, 5, 137, 157, 1107, 1025, 1907, 2279, 1, 1,
    1, 9, 11, 63, 27, 13, 295, 951, 2027, 3625, 1447, 8939, 3965, 1, 3, 3,
    13, 29, 31, 67, 221, 413, 13, 1643, 2847, 4889, 3733, 25713, 1, 3, 5, 11,
    11, 17, 37, 37, 159, 835, 1775, 2059, 2995, 6141, 12277, 1, 3, 3, 7, 11,
    25, 107, 239, 361, 835, 1943, 1375, 7077, 13843, 5685, 1, 1, 3, 11, 23, 27,
    3, 191, 339, 675, 1181, 2005, 245, 7305, 5831, 1, 3, 5, 9, 15, 17, 91,
    15, 255, 201, 535, 3063, 4351, 12527, 15981, 1, 3, 5, 9, 7, 47, 111, 245,
    223, 781, 367, 559, 1433, 9631, 7207, 1, 3, 7, 5, 23, 5, 111, 237, 371,
    541, 663, 693, 6591, 13089, 11381, 1, 1, 3, 9, 25, 5, 99, 17, 401, 787,
    971, 1035, 1143, 12041, 22455, 1, 1, 5, 1, 3, 5, 125, 193, 69, 939, 37,
    2843, 3139, 7967, 15099, 1, 1, 5, 3, 11, 39, 35, 103, 203, 255, 727, 2513,
    1981, 12855, 20887, 1, 3, 3, 15, 27, 41, 41, 57, 275, 497, 727, 901, 5653,
    12917, 20783, 1, 3, 1, 5, 17, 13, 101, 95, 465, 155, 973, 1911, 2719, 157,
    19475, 1, 3, 3, 5, 3, 61, 31, 225, 351, 931, 855, 3871, 1835, 11133, 25203,
    1, 3, 7, 7, 25, 1, 91, 193, 455, 873, 1255, 1657, 4143, 433, 22789, 1,
    3, 7, 9, 31, 19, 35, 81, 175, 885, 1007, 3443, 2063, 3179, 28563, 1, 1,
    3, 9, 1, 25, 109, 249, 341, 393, 497, 1181, 2943, 9021, 9985, 1, 1, 7,
    13, 15, 49, 27, 145, 351, 119, 257, 151, 4287, 1709, 2585, 1, 1, 7, 7,
    3, 19, 105, 51, 443, 693, 29, 2657, 6967, 4797, 14565, 1, 3, 3, 1, 25,
    53, 65, 169, 461, 275, 1191, 731, 6295, 15083, 28445, 1, 3, 1, 1, 11, 39,
    21, 3, 411, 45, 1325, 3279, 3153, 289, 30973, 1, 1, 1, 11, 29, 57, 107,
    245, 279, 677, 599, 1145, 5135, 6131, 12667, 1, 3, 1, 15, 27, 7, 99, 215,
    17, 171, 977, 2065, 1357, 8705, 29641, 1, 1, 3, 9, 31, 23, 53, 9, 177,
    645, 99, 3175, 3543, 13637, 9923, 1, 1, 1, 13, 5, 45, 69, 39, 207, 651,
    1507, 2969, 2743, 4025, 9983, 1, 1, 5, 13, 13, 57, 27, 215, 51, 927, 1973,
    3127, 3655, 10653, 5649, 1, 3, 3, 7, 21, 7, 119, 163, 461, 859, 253, 2817,
    8001, 393, 20171, 1, 3, 3, 3, 25, 7, 101, 109, 57, 185, 2005, 3167, 3539,
    2465, 783, 1, 3, 1, 3, 31, 43, 69, 189, 471, 669, 339, 1125, 4273, 10417,
    20129, 1, 1, 3, 7, 19, 37, 115, 111, 439, 19, 425, 995, 3983, 15523, 25679,
    1, 3, 5, 9, 5, 1, 37, 105, 359, 423, 545, 1099, 6809, 8531, 25155, 1,
    1, 3, 3, 9, 37, 37, 149, 457, 1017, 25, 3641, 2673, 1501, 28811, 1, 3,
    5, 11, 25, 31, 57, 233, 125, 755, 1807, 337, 81, 14709, 4061, 1, 1, 1,
    7, 25, 7, 37, 35, 437, 889, 965, 3997, 4493, 1357, 26383, 1, 1, 1, 3,
    9, 37, 105, 127, 283, 141, 1451, 2275, 3261, 8135, 429, 1, 1, 1, 5, 3,
    19, 9, 233, 293, 827, 103, 1963, 2877, 7701, 17431, 1, 3, 7, 11, 15, 17,
    87, 243, 141, 721, 829, 3569, 4081, 6039, 21523, 1, 3, 3, 11, 17, 21, 31,
    169, 425, 755, 1391, 3433, 3275, 15657, 9085, 1, 3, 1, 7, 25, 23, 49, 227,
    103, 5, 1995, 3803, 1109, 6015, 2433, 1, 1, 7, 7, 19, 39, 91, 219, 403,
    475, 1629, 117, 2317, 3991, 23467, 1, 1, 7, 5, 19, 63, 79, 9, 19, 747,
    1045, 875, 5809, 949, 10943, 1, 1, 3, 11, 3, 29, 83, 103, 481, 565, 451,
    1353, 5417, 2747, 141, 1, 1, 1, 11, 17, 43, 75, 51, 335, 257, 1077, 517,
    4029, 13761, 8653, 1, 1, 1, 1, 13, 51, 41, 195, 331, 155, 1711, 2787, 6163,
    12641, 20731, 1, 1, 1, 11, 5, 37, 117, 97, 133, 793, 491, 2185, 3671, 12257,
    6239, 1, 1, 1, 5, 9, 33, 69, 153, 29, 443, 921, 3679, 7385, 7229, 16443,
    1, 3, 3, 9, 19, 19, 87, 147, 113, 577, 505, 343, 7385, 3247, 6411, 1,
    1, 7, 9, 15, 33, 83, 69, 27, 519, 115, 4059, 5281, 7995, 25537, 1, 1,
    5, 15, 21, 25, 37, 35, 263, 531, 197, 27, 7871, 7383, 28467, 1, 3, 5,
    1, 1, 49, 87, 173, 37, 633, 65, 2449, 149, 7145, 6461, 1, 1, 3, 7,
    17, 35, 91, 45, 257, 351, 1569, 3757, 5203, 8071, 32211, 1, 1, 3, 9, 9,
    39, 51, 33, 77, 663, 287, 1127, 4549, 6321, 16199, 1, 1, 5, 9, 3, 3,
    123, 35, 75, 253, 1661, 3191, 1749, 14421, 15767, 1, 1, 1, 15, 21, 27, 69,
    233, 425, 89, 1069, 603, 5439, 5597, 24183, 1, 1, 7, 15, 19, 57, 127, 83,
    445, 619, 1541, 2695, 1657, 10787, 27703, 1, 3, 1, 3, 31, 31, 29, 61, 245,
    449, 145, 3619, 5267, 9403, 9637, 1, 1, 5, 9, 29, 61, 33, 245, 341, 991,
    639, 3391, 2971, 857, 26191, 1, 1, 1, 5, 9, 7, 57, 33, 79, 489, 379,
    3907, 3759, 4243, 9811, 1, 3, 5, 15, 7, 61, 7, 119, 51, 927, 1505, 2997,
    723, 8987, 29007, 1, 1, 3, 1, 31, 55, 63, 15, 421, 423, 1041, 3967, 2471,
    13273, 18587, 1, 3, 3, 13, 9, 49, 111, 211, 87, 887, 1867, 19, 5329, 12411,
    18537, 1, 3, 1, 1, 27, 35, 89, 81, 119, 635, 63, 2185, 7001, 11283, 11883,
    1, 1, 3, 9, 31, 61, 55, 237, 327, 537, 123, 3589, 3019, 705, 16701, 1,
    1, 7, 1, 7, 13, 103, 101, 473, 7, 381, 3643, 1227, 11335, 615, 1, 3,
    5, 13, 1, 9, 127, 65, 479, 623, 469, 3403, 2423, 4269, 15195, 1, 1, 7,
    15, 3, 23, 125, 195, 267, 923, 961, 799, 783, 893, 22403, 1, 3, 1, 3,
    21, 7, 21, 151, 373, 377, 1685, 3731, 6019, 1059, 32457, 1, 3, 3, 11, 9,
    31, 55, 207, 109, 945, 1073, 3545, 4191, 12965, 20863, 1, 1, 1, 5, 27, 45,
    15, 67, 101, 207, 77, 3309, 747, 13857, 25737, 1, 1, 1, 5, 1, 31, 15,
    235, 57, 449, 411, 3739, 5093, 12963, 30649, 1, 3, 7, 5, 5, 33, 87, 13,
    57, 727, 1041, 3369, 6047, 1007, 4587, 1, 1, 3, 9, 29, 43, 11, 251, 99,
    413, 1943, 3461, 993, 13983, 8157, 1, 1, 5, 15, 7, 27, 105, 9, 69, 949,
    245, 2537, 5941, 10961, 17115, 1, 1, 7, 5, 17, 41, 63, 167, 45, 391, 895,
    2565, 2681, 10855, 6919, 1, 3, 7, 3, 7, 53, 15, 207, 467, 131, 761, 189,
    4977, 4345, 7539, 1, 1, 5, 5, 23, 17, 127, 3, 455, 787, 383, 2381, 6407,
    3253, 1787, 1, 3, 5, 15, 5, 7, 37, 75, 351, 141, 93, 2631, 609, 11455,
    20603, 1, 3, 7, 9, 5, 33, 19, 15, 101, 1005, 7, 1341, 4577, 11627, 17061,
    1, 3, 3, 9, 5, 7, 87, 181, 197, 423, 361, 545, 2459, 7419, 14457, 1,
    1, 7, 7, 25, 37, 93, 85, 345, 459, 465, 3377, 795, 13439, 4765, 1, 1,
    7, 9, 25, 55, 109, 63, 381, 329, 1787, 3163, 279, 4647, 8723, 1, 3, 3,
    13, 23, 33, 85, 41, 151, 319, 265, 259, 29, 4217, 21025, 1, 1, 5, 9,
    31, 17, 93, 27, 455, 1015, 81, 621, 6511, 7617, 6775, 1, 1, 1, 11, 25,
    21, 73, 161, 267, 911, 25, 1385, 4073, 14423, 31473, 1, 3, 5, 11, 13, 33,
    95, 113, 371, 291, 1055, 3779, 991, 9699, 9495, 1, 1, 1, 7, 31, 55, 111,
    215, 399, 721, 1443, 763, 3119, 11075, 15489, 1, 1, 1, 3, 17, 57, 119, 171,
    299, 299, 1919, 3103, 5691, 7927, 18875, 1, 1, 5, 7, 13, 41, 35, 209, 383,
    381, 901, 3341, 3421, 11501, 2187, 1, 3, 1, 7, 1, 3, 83, 105, 495, 297,
    413, 2941, 4309, 9829, 32115, 1, 3, 5, 3, 3, 7, 81, 9, 55, 19, 225,
    2915, 6255, 10967, 8767, 1, 3, 1, 1, 23, 59, 21, 127, 7, 703, 1189, 2375,
    6273, 1655, 10115, 1, 1, 1, 15, 19, 35, 39, 185, 143, 163, 1491, 201, 2473,
    661, 12827, 1, 1, 1, 5, 29, 49, 5, 27, 131, 1005, 991, 1159, 5437, 5039,
    4037, 1, 3, 7, 3, 11, 41, 123, 43, 11, 443, 109, 3995, 5377, 2907, 30035,
    1, 3, 1, 1, 31, 59, 53, 219, 185, 31, 641, 1695, 5817, 9001, 28827, 1,
    1, 1, 3, 13, 37, 37, 119, 123, 57, 1241, 551, 5825, 11551, 23521, 1, 1,
    3, 15, 13, 37, 33, 61, 209, 375, 335, 1223, 4023, 12743, 8375, 1, 3, 3,
    3, 31, 7, 103, 43, 451, 517, 1025, 2853, 5943, 13655, 21409, 1, 1, 1, 13,
    11, 37, 11, 167, 271, 763, 85, 3727, 641, 2841, 23803, 1, 1, 7, 5, 3,
    19, 117, 225, 275, 327, 1263, 1597, 1439, 8531, 18063, 1, 3, 5, 3, 9, 45,
    57, 169, 453, 949, 585, 1365, 4263, 3461, 7191, 1, 3, 7, 9, 25, 51, 97,
    255, 457, 293, 1027, 1291, 6685, 2617, 3055, 1, 3, 7, 5, 27, 33, 47, 65,
    43, 545, 123, 1093, 5563, 3013, 18451, 1, 1, 3, 11, 9, 25, 71, 241, 495,
    561, 1565, 703, 809, 10961, 3001, 1, 3, 5, 1, 1, 47, 97, 233, 259, 39,
    543, 303, 2705, 3683, 32123, 1, 1, 5, 7, 1, 35, 91, 43, 417, 299, 1635,
    2163, 7959, 9015, 5661, 1, 1, 3, 11, 1, 63, 49, 209, 125, 241, 987, 3173,
    631, 9767, 8467, 1, 1, 1, 5, 25, 49, 43, 117, 65, 81, 313, 1917, 6087,
    1503, 3383, 1, 3, 5, 1, 23, 53, 43, 29, 91, 727, 1157, 2985, 3851, 15897,
    17577, 1, 1, 3, 15, 15, 27, 35, 129, 161, 679, 1001, 2681, 5287, 10367, 21017,
    1, 3, 3, 1, 23, 51, 127, 119, 467, 161, 1229, 2969, 6321, 1141, 7827, 1,
    3, 5, 15, 19, 45, 33, 173, 205, 815, 783, 1323, 69, 5191, 23795, 1, 3,
    5, 9, 19, 1, 111, 253, 463, 247, 1877, 1831, 8037, 12769, 8111, 1, 3, 1,
    1, 21, 7, 19, 241, 297, 953, 1759, 2187, 1587, 14857, 13245, 1, 1, 1, 15,
    27, 21, 111, 37, 333, 485, 127, 1781, 545, 251, 2757, 1, 3, 1, 1, 3,
    7, 21, 69, 171, 225, 1505, 2725, 923, 9451, 29443, 1, 3, 7, 7, 13, 57,
    97, 175, 429, 529, 677, 1501, 4717, 12705, 31473, 1, 3, 7, 11, 29, 7, 57,
    115, 55, 167, 903, 3855, 8051, 15567, 31733, 1, 1, 1, 1, 1, 1, 1, 1,
    1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 13, 11, 17, 73, 193, 151,
    927, 1375, 4037, 6855, 10481, 8973, 1, 3, 7, 1, 25, 7, 115, 39, 469, 903,
    655, 299, 6007, 6629, 11871, 1, 3, 7, 5, 15, 49, 79, 115, 55, 841, 1091,
    1641, 5693, 3607, 13699, 1, 1, 1, 15, 5, 33, 99, 239, 157, 133, 2023, 683,
    3419, 10993, 32187, 1, 1, 7, 1, 3, 13, 95, 233, 341, 243, 2043, 653, 4673,
    1441, 19087, 1, 3, 3, 3, 29, 51, 117, 199, 49, 467, 461, 2465, 7541, 6815,
    28711, 1, 3, 1, 1, 25, 47, 31, 79, 9, 39, 733, 3567, 5965, 6627, 1109,
    1, 3, 1, 13, 9, 53, 27, 101, 341, 369, 1659, 1645, 4465, 10175, 4565, 1,
    3, 5, 7, 13, 61, 67, 125, 427, 105, 133, 2303, 5595, 4527, 23151, 1, 1,
    5, 7, 19, 29, 87, 167, 141, 657, 947, 367, 2617, 9287, 629, 1, 3, 7,
    5, 21, 25, 35, 21, 391, 1019, 991, 3343, 1221, 1591, 18095, 1, 3, 7, 9,
    31, 49, 99, 185, 405, 261, 935, 3447, 4081, 5537, 26329, 1, 1, 3, 7, 25,
    51, 107, 83, 449, 733, 597, 1023, 7457, 14343, 7119, 1, 1, 1, 5, 23, 21,
    35, 83, 185, 531, 1283, 2235, 7775, 15895, 32651, 1, 1, 5, 15, 27, 13, 23,
    227, 491, 701, 341, 2109, 8045, 1529, 10589, 1, 1, 5, 5, 21, 51, 31, 101,
    31, 861, 401, 1519, 5349, 2623, 22667, 1, 3, 5, 5, 1, 41, 43, 25, 491,
    329, 537, 1357, 5567, 3951, 15293, 1, 3, 7, 3, 15, 39, 113, 105, 51, 483,
    1417, 2971, 3, 9673, 4331, 1, 3, 5, 13, 17, 3, 19, 55, 443, 967, 327,
    3463, 5427, 195, 7495, 1, 1, 3, 3, 15, 15, 11, 157, 311, 967, 89, 3691,
    7307, 12309, 1915, 1, 3, 5, 7, 25, 7, 125, 163, 231, 177, 1497, 3119, 3281,
    15033, 9457, 1, 3, 3, 9, 25, 51, 51, 243, 427, 831, 709, 3741, 445, 14275,
    32323, 1, 3, 3, 13, 1, 41, 123, 237, 401, 19, 1161, 985, 5119, 14879, 5785,
    1, 3, 1, 3, 3, 11, 121, 209, 507, 271, 1045, 2547, 1019, 7107, 31823, 1,
    1, 5, 3, 21, 3, 33, 73, 79, 607, 47, 3045, 2471, 2023, 8115, 1, 3,
    7, 13, 19, 49, 111, 185, 209, 683, 1459, 3827, 6591, 13139, 2057, 1, 3, 7,
    9, 17, 63, 77, 217, 161, 287, 335, 3947, 5255, 12297, 16829, 1, 3, 1, 11,
    17, 17, 31, 231, 483, 437, 431, 957, 6499, 12947, 29751, 1, 3, 7, 15, 5,
    57, 119, 43, 385, 743, 249, 3479, 7751, 6321, 31747, 1, 1, 5, 3, 5, 1,
    113, 87, 439, 507, 1517, 2081, 5947, 10967, 10219, 1, 3, 1, 13, 23, 29, 39,
    33, 129, 493, 1119, 2177, 4135, 5051, 20241, 1, 3, 7, 13, 19, 13, 71, 163,
    107, 285, 1999, 3371, 3555, 16265, 2825, 1, 3, 7, 11, 5, 19, 67, 201, 203,
    619, 927, 1769, 5655, 4539, 1719, 1, 3, 5, 7, 15, 43, 107, 91, 315, 281,
    525, 3243, 7751, 8991, 29195, 1, 1, 7, 7, 21, 43, 35, 81, 199, 51, 935,
    357, 1723, 8183, 6209, 1, 3, 5, 5, 9, 31, 75, 71, 375, 181, 1503, 3479,
    2255, 1371, 16127, 1, 1, 7, 11, 29, 61, 57, 145, 149, 673, 1953, 2111, 3525,
    1007, 15927, 1, 1, 7, 15, 25, 25, 103, 175, 273, 193, 1215, 3059, 7805, 1455,
    1627, 1, 3, 1, 1, 23, 45, 61, 227, 487, 89, 739, 1867, 3643, 9879, 17307,
    1, 1, 5, 1, 23, 5, 117, 25, 325, 725, 1999, 3453, 2353, 5467, 2065, 1,
    1, 5, 5, 25, 3, 95, 243, 175, 291, 821, 3531, 4873, 9975, 30437, 1, 3,
    3, 11, 5, 41, 121, 23, 15, 195, 1141, 171, 2245, 8043, 2201, 1, 3, 7,
    1, 29, 1, 41, 233, 217, 501, 913, 3589, 1153, 4601, 23147, 1, 1, 5, 15,
    1, 41, 71, 255, 283, 125, 845, 1261, 7519, 15623, 13301, 1, 3, 3, 15, 11,
    3, 73, 161, 203, 775, 905, 411, 4139, 8289, 8581, 1, 1, 7, 13, 7, 57,
    17, 115, 273, 949, 913, 3267, 6949, 6785, 30449, 1, 1, 7, 5, 3, 49, 55,
    191, 505, 807, 287, 3595, 2261, 13751, 15339, 1, 1, 5, 11, 23, 13, 83, 145,
    387, 37, 341, 111, 3309, 4481, 21679, 1, 1, 7, 15, 3, 51, 13, 247, 419,
    555, 431, 187, 2753, 9071, 25189, 1, 3, 7, 3, 29, 33, 119, 63, 363, 197,
    1901, 2231, 1453, 3901, 13713, 1, 1, 5, 7, 9, 15, 91, 107, 397, 739, 1419,
    481, 5713, 14089, 11699, 1, 3, 3, 7, 9, 37, 47, 183, 45, 135, 903, 2769,
    5929, 8175, 8661, 1, 1, 3, 9, 7, 63, 117, 81, 385, 459, 1455, 4089, 395,
    7569, 18089, 1, 1, 1, 3, 15, 29, 71, 47, 423, 177, 1481, 1087, 3703, 5857,
    9631, 1, 3, 1, 7, 23, 45, 127, 91, 457, 81, 681, 257, 361, 11739, 1503,
    1, 3, 3, 9, 29, 29, 107, 125, 55, 759, 1287, 1937, 353, 1275, 14349, 1,
    3, 5, 11, 15, 53, 35, 1, 419, 255, 1891, 7, 3005, 1493, 165, 1, 3,
    5, 1, 5, 19, 45, 109, 479, 309, 277, 2749, 4859, 4301, 17799, 1, 3, 7,
    15, 21, 57, 39, 19, 433, 77, 1999, 3467, 2097, 6853, 1763, 1, 1, 5, 5,
    7, 39, 109, 53, 1, 543, 623, 573, 4039, 1367, 23177, 1, 3, 1, 11, 1,
    31, 3, 203, 409, 409, 1471, 1245, 3881, 14467, 22731, 1, 3, 1, 11, 19, 41,
    39, 95, 187, 823, 973, 3055, 3803, 4229, 29363, 1, 1, 5, 15, 29, 41, 69,
    121, 385, 717, 1601, 3061, 6523, 13423, 12559, 1, 3, 7, 1, 5, 45, 85, 153,
    337, 587, 595, 1183, 3799, 12775, 19537, 1, 3, 7, 15, 11, 45, 97, 37, 167,
    227, 1003, 2991, 2291, 15865, 6645, 1, 3, 3, 7, 31, 41, 123, 225, 275, 733,
    1611, 1599, 7345, 297, 22551, 1, 1, 5, 3, 7, 45, 45, 155, 41, 581, 635,
    4065, 3993, 7233, 27097, 1, 1, 7, 11, 9, 39, 17, 19, 335, 819, 1845, 1199,
    591, 7743, 26797, 1, 3, 7, 9, 29, 33, 35, 19, 287, 935, 1463, 3639, 5537,
    2751, 20073, 1, 3, 5, 5, 3, 45, 59, 117, 431, 419, 1325, 983, 6065, 3501,
    15765, 1, 1, 1, 9, 27, 7, 123, 205, 155, 59, 1139, 1147, 4845, 15131, 10155,
    1, 3, 7, 5, 23, 37, 97, 33, 337, 837, 1379, 2459, 469, 10615, 16475, 1,
    3, 1, 7, 1, 23, 27, 63, 503, 635, 935, 1767, 6887, 6675, 10973, 1, 3,
    1, 9, 13, 29, 15, 109, 185, 33, 1039, 959, 1745, 10587, 9269, 1, 3, 3,
    1, 5, 29, 89, 63, 341, 773, 1851, 775, 1717, 6041, 11901, 1, 1, 7, 9,
    23, 47, 21, 111, 289, 997, 1559, 501, 5913, 4737, 4623, 1, 1, 1, 15, 3,
    3, 87, 197, 391, 121, 627, 3705, 4093, 3933, 13787, 1, 3, 3, 15, 31, 9,
    117, 47, 373, 697, 131, 3933, 3135, 9155, 3937, 1, 1, 7, 3, 11, 39, 5,
    27, 253, 301, 1151, 3771, 1581, 9811, 17617, 1, 3, 7, 15, 25, 59, 97, 229,
    291, 349, 1153, 1859, 3357, 7919, 2733, 1, 1, 5, 13, 5, 7, 37, 177, 177,
    969, 29, 4017, 6791, 2823, 10607, 1, 1, 7, 13, 27, 17, 25, 137, 325, 949,
    1519, 3711, 4399, 9501, 2989, 1, 1, 5, 5, 29, 27, 75, 195, 417, 945, 1851,
    2887, 2379, 15229, 4805, 1, 1, 3, 11, 31, 45, 105, 87, 241, 153, 1941, 3459,
    4809, 9823, 19419, 1, 1, 1, 1, 1, 59, 75, 51, 309, 671, 1039, 2999, 1025,
    15823, 4835, 1, 3, 7, 13, 19, 37, 41, 85, 11, 713, 1047, 989, 2941, 6423,
    7983, 1, 3, 5, 13, 1, 55, 103, 207, 275, 431, 563, 101, 691, 1997, 17227,
    1, 3, 1, 3, 19, 15, 67, 197, 125, 377, 367, 601, 4983, 1699, 29315, 1,
    1, 5, 3, 23, 19, 19, 133, 83, 625, 757, 1349, 5821, 2483, 26653, 1, 1,
    3, 3, 19, 17, 19, 83, 235, 657, 733, 1773, 7011, 3893, 8495, 1, 1, 3,
    15, 19, 33, 37, 69, 385, 835, 1025, 1585, 6685, 10627, 19203, 1, 1, 5, 11,
    9, 31, 65, 177, 153, 781, 1183, 1215, 6271, 13099, 12449, 1, 1, 7, 9, 13,
    49, 41, 57, 443, 633, 1953, 2423, 789, 5591, 20891, 1, 1, 1, 15, 17, 21,
    69, 177, 57, 797, 13, 3987, 6597, 9935, 26559, 1, 3, 3, 1, 21, 27, 17,
    207, 139, 43, 1935, 3285, 4251, 4411, 24469, 1, 3, 3, 11, 11, 47, 63, 243,
    19, 801, 971, 1925, 5981, 13055, 12185, 1, 3, 5, 5, 9, 13, 49, 251, 315,
    889, 1613, 1007, 7849, 3121, 4279, 1, 3, 1, 15, 7, 37, 95, 253, 65, 177,
    1551, 2307, 2325, 9975, 18277, 1, 3, 1, 15, 7, 53, 45, 5, 447, 1005, 279,
    2141, 4271, 4707, 11225, 1, 1, 3, 13, 31, 11, 15, 133, 313, 249, 1971, 2905,
    819, 11603, 25679, 1, 3, 3, 15, 21, 49, 107, 229, 101, 449, 245, 1401, 391,
    3749, 14555, 1, 1, 1, 15, 7, 39, 69, 223, 37, 771, 1469, 2085, 1075, 14485,
    10019, 1, 3, 1, 13, 3, 27, 37, 59, 69, 675, 807, 2711, 3867, 9737, 21913,
    1, 1, 3, 9, 25, 45, 109, 113, 267, 867, 771, 1647, 2063, 14063, 27737, 1,
    1, 7, 15, 23, 51, 71, 33, 103, 71, 1177, 2353, 4741, 6907, 11121, 1, 3,
    3, 7, 21, 31, 77, 255, 341, 249, 1263, 505, 1845, 12867, 11393, 1, 3, 1,
    1, 3, 1, 5, 215, 155, 107, 1283, 3501, 8079, 13921, 22415, 1, 1, 7, 9,
    31, 21, 21, 29, 341, 13, 155, 2161, 517, 13135, 15893, 1, 1, 7, 5, 21,
    33, 23, 131, 367, 939, 1139, 865, 6015, 6945, 2301, 1, 3, 7, 3, 1, 25,
    109, 183, 267, 757, 371, 1459, 3671, 2925, 10345, 1, 1, 5, 15, 29, 57, 95,
    169, 301, 645, 5, 225, 5711, 305, 16515, 1, 3, 7, 9, 27, 47, 95, 121,
    203, 341, 657, 2467, 7619, 9587, 7981, 1, 3, 1, 5, 27, 11, 103, 67, 19,
    289, 187, 3857, 8117, 12931, 11279, 1, 1, 5, 1, 31, 9, 57, 67, 507, 405,
    181, 2301, 715, 12165, 18415, 1, 1, 7, 1, 11, 3, 35, 215, 177, 679, 735,
    1569, 6231, 5141, 28291, 1, 3, 1, 9, 7, 7, 101, 247, 103, 373, 1485, 2515,
    3981, 12029, 5845, 1, 1, 1, 9, 29, 27, 117, 111, 107, 737, 629, 1331, 7495,
    9813, 24925, 1, 1, 1, 13, 17, 11, 95, 11, 1, 525, 1677, 2673, 2353, 7211,
    1075, 1, 3, 3, 7, 9, 29, 9, 125, 249, 815, 105, 1649, 2789, 6041, 15287,
    1, 3, 3, 3, 25, 53, 87, 99, 427, 255, 285, 2339, 5003, 10395, 20969, 1,
    3, 1, 5, 25, 33, 97, 149, 207, 925, 645, 1867, 4591, 10823, 16603, 1, 3,
    3, 13, 1, 33, 71, 49, 417, 535, 923, 525, 811, 7443, 12971, 1, 3, 5,
    3, 5, 9, 39, 121, 87, 883, 1957, 1375, 4109, 12691, 15557, 1, 1, 7, 9,
    23, 11, 59, 41, 117, 243, 1953, 3967, 7303, 10767, 1345, 1, 3, 1, 7, 29,
    59, 19, 177, 405, 197, 59, 855, 5009, 11887, 6361, 1, 3, 7, 7, 19, 59,
    71, 199, 207, 757, 1147, 1857, 3787, 16081, 29557, 1, 1, 5, 9, 25, 13, 37,
    27, 511, 983, 1087, 371, 4953, 8987, 3155, 1, 3, 7, 15, 21, 43, 75, 227,
    441, 523, 551, 3517, 77, 5869, 24607, 1, 1, 5, 15, 1, 33, 25, 217, 277,
    73, 105, 1697, 1545, 10205, 4275, 1, 1, 5, 7, 3, 53, 99, 19, 121, 427,
    585, 2471, 103, 3771, 23525, 1, 3, 5, 3, 15, 17, 35, 205, 9, 941, 1281,
    1339, 7421, 3341, 4393, 1, 1, 1, 13, 27, 13, 35, 99, 87, 157, 951, 2739,
    1993, 6107, 29023, 1, 3, 5, 15, 15, 5, 83, 5, 283, 393, 1273, 2251, 4181,
    3851, 6845, 1, 1, 5, 3, 1, 9, 63, 97, 83, 93, 293, 2087, 2259, 10313,
    1037, 1, 1, 1, 5, 11, 19, 39, 19, 327, 329, 189, 3851, 4839, 1669, 25805,
    1, 3, 3, 7, 21, 1, 41, 233, 497, 265, 1041, 4003, 8029, 15, 14437, 1,
    3, 7, 5, 7, 15, 123, 215, 403, 931, 277, 3501, 3667, 13313, 23977, 1, 1,
    3, 9, 5, 23, 99, 161, 25, 403, 1695, 2493, 199, 15745, 9167, 1, 1, 1,
    15, 1, 25, 93, 31, 227, 833, 1891, 1171, 4551, 3329, 30593, 1, 3, 1, 11,
    29, 51, 109, 27, 475, 511, 1763, 2285, 3191, 7943, 8373, 1, 1, 5, 3, 21,
    63, 89, 9, 429, 613, 141, 4011, 6563, 5871, 30701, 1, 1, 5, 1, 31, 49,
    87, 15, 481, 237, 133, 3267, 7385, 4733, 16853, 1, 3, 7, 9, 1, 63, 95,
    17, 311, 29, 1543, 2971, 695, 3641, 28155, 1, 3, 3, 7, 27, 1, 59, 181,
    321, 431, 143, 213, 1471, 4707, 22897, 1, 1, 3, 11, 19, 3, 95, 1, 407,
    755, 1581, 3435, 2025, 7781, 5573, 1, 1, 1, 1, 19, 15, 119, 169, 109, 1003,
    403, 1633, 4963, 9785, 18483, 1, 3, 7, 1, 23, 5, 77, 79, 429, 921, 1913,
    2075, 7923, 5515, 19257, 1, 3, 1, 11, 1, 45, 99, 249, 385, 427, 1201, 1363,
    335, 12561, 18753, 1, 1, 1, 11, 27, 41, 9, 13, 267, 987, 1023, 2723, 3873,
    15911, 3165, 1, 3, 5, 1, 17, 7, 117, 241, 509, 757, 1301, 3935, 3361, 13745,
    27239, 1, 1, 5, 15, 21, 33, 55, 245, 1, 263, 437, 2279, 1201, 2043, 20473,
    1, 3, 7, 5, 29, 9, 31, 165, 299, 923, 847, 769, 5683, 1805, 13433, 1,
    1, 1, 11, 29, 13, 49, 173, 269, 35, 1057, 973, 1853, 12677, 13565, 1, 3,
    1, 11, 11, 21, 19, 3, 127, 133, 193, 2665, 7187, 15425, 23805, 1, 3, 5,
    7, 13, 61, 95, 17, 197, 381, 865, 1241, 685, 9525, 2503, 1, 1, 5, 7,
    13, 19, 83, 141, 179, 201, 463, 2083, 3617, 1945, 20371, 1, 3, 5, 13, 9,
    39, 47, 3, 13, 739, 1501, 1007, 6963, 15819, 29739, 1, 1, 5, 7, 3, 17,
    105, 27, 165, 515, 949, 81, 947, 9615, 24403, 1, 3, 7, 5, 23, 43, 81,
    141, 181, 1007, 1343, 1919, 5971, 8563, 17091, 1, 3, 3, 11, 1, 25, 19, 117,
    225, 347, 785, 791, 7321, 15647, 25491, 1, 1, 5, 5, 11, 61, 25, 205, 145,
    695, 713, 1787, 8087, 5935, 5105, 1, 1, 7, 1, 15, 17, 25, 141, 75, 657,
    1641, 575, 3387, 6093, 15565, 1, 3, 7, 11, 31, 49, 113, 37, 321, 547, 819,
    2079, 7231, 7497, 29877, 1, 1, 3, 11, 31, 19, 39, 99, 271, 527, 1551, 2491,
    5515, 5541, 6131, 1, 1, 1, 7, 23, 35, 31, 35, 315, 911, 1133, 3509, 1381,
    15869, 23211, 1, 3, 3, 5, 1, 33, 127, 175, 311, 497, 187, 2983, 6553, 9653,
    5711, 1, 1, 3, 13, 19, 3, 65, 91, 265, 199, 2035, 1277, 4575, 5517, 15247,
    1, 1, 5, 15, 31, 39, 71, 167, 337, 245, 399, 2681, 1257, 15117, 24145, 1,
    1, 1, 11, 7, 19, 113, 133, 83, 851, 1543, 1699, 4527, 3167, 10793, 1, 3,
    3, 3, 31, 55, 35, 161, 133, 83, 469, 3011, 4513, 4677, 2363, 1, 1, 3,
    1, 29, 51, 29, 163, 95, 221, 973, 2819, 3103, 9969, 10347, 1, 1, 5, 7,
    31, 5, 73, 159, 339, 523, 399, 4041, 4341, 11527, 505, 1, 1, 3, 7, 15,
    55, 91, 117, 233, 497, 485, 1187, 5185, 13127, 14393, 1, 3, 7, 9, 27, 19,
    23, 197, 99, 779, 423, 2735, 3513, 8227, 31127, 1, 3, 3, 1, 3, 61, 89,
    137, 189, 325, 1797, 2287, 5033, 7351, 1131, 1, 3, 3, 15, 19, 9, 83, 87,
    451, 317, 667, 3379, 2225, 6437, 31515, 1, 1, 1, 15, 13, 31, 121, 131, 473,
    717, 1507, 1483, 4819, 14375, 24667, 1, 1, 1, 5, 5, 55, 101, 111, 89, 481,
    2031, 3043, 5727, 1253, 11951, 1, 3, 1, 1, 3, 13, 67, 129, 311, 125, 121,
    2833, 3555, 7761, 27343, 1, 3, 7, 7, 29, 37, 63, 59, 5, 691, 1625, 97,
    6113, 14795, 31471, 1, 3, 3, 3, 25, 7, 65, 207, 371, 29, 1627, 1785, 5203,
    5153, 1461, 1, 3, 3, 11, 1, 37, 121, 249, 381, 309, 1545, 4039, 5657, 6783,
    1889, 1, 1, 1, 9, 29, 19, 51, 213, 185, 481, 1929, 2475, 567, 10045, 32619,
    1, 1, 3, 7, 13, 13, 17, 47, 55, 521, 473, 495, 7807, 1645, 17713, 1,
    1, 1, 3, 5, 63, 119, 167, 357, 231, 1915, 3605, 3579, 3041, 603, 1, 3,
    3, 7, 31, 5, 93, 193, 175, 801, 1963, 1413, 1641, 4073, 16017, 1, 3, 3,
    11, 11, 49, 53, 57, 1, 799, 301, 2611, 2975, 7595, 25891, 1, 3, 1, 3,
    19, 41, 63, 173, 257, 903, 1977, 3799, 3985, 14807, 24903, 1, 3, 3, 11, 17,
    53, 61, 115, 453, 395, 993, 3365, 4071, 4737, 29469, 1, 3, 1, 13, 3, 55,
    109, 149, 313, 621, 345, 4037, 677, 3787, 6701, 1, 3, 3, 9, 23, 11, 63,
    21, 47, 949, 47, 3055, 3403, 7581, 12853, 1, 1, 1, 9, 7, 21, 15, 203,
    167, 677, 49, 2777, 7817, 13207, 31485, 1, 1, 1, 3, 29, 41, 37, 61, 343,
    279, 127, 925, 7091, 14477, 24149, 1, 1, 1, 11, 3, 33, 35, 237, 133, 653,
    1491, 2183, 3565, 14773, 4521, 1, 1, 5, 3, 31, 43, 13, 79, 465, 785, 1913,
    1133, 2701, 9007, 15695, 1, 3, 3, 1, 23, 43, 5, 155, 369, 131, 671, 1109,
    7951, 1929, 23965, 1, 1, 5, 7, 9, 15, 23, 59, 511, 931, 259, 1953, 1197,
    9441, 25545, 1, 1, 7, 7, 27, 25, 51, 81, 479, 491, 203, 4009, 4621, 11153,
    12049, 1, 3, 5, 15, 25, 11, 77, 253, 249, 761, 707, 161, 7519, 5381, 1549,
    1, 1, 1, 13, 11, 39, 59, 191, 443, 471, 53, 1639, 505, 1281, 1919, 1,
    1, 3, 7, 29, 47, 121, 135, 411, 95, 1255, 635, 835, 7905, 18435, 1, 1,
    3, 15, 21, 57, 65, 75, 333, 61, 1861, 3903, 6051, 8311, 2791, 1, 3, 3,
    7, 7, 49, 121, 233, 305, 697, 525, 3921, 5747, 2951, 24321, 1, 1, 3, 3,
    9, 23, 53, 121, 187, 35, 1973, 829, 575, 4003, 32159, 1, 1, 3, 1, 3,
    57, 25, 99, 383, 97, 1751, 1799, 2001, 8335, 20349, 1, 1, 7, 9, 11, 17,
    25, 107, 483, 183, 559, 2531, 6509, 9449, 1793, 1, 3, 3, 1, 3, 43, 89,
    57, 15, 269, 521, 1119, 3573, 9801, 30943, 1, 3, 7, 3, 7, 41, 101, 177,
    47, 47, 2009, 2127, 5113, 13541, 4133, 1, 1, 3, 7, 23, 63, 67, 73, 335,
    471, 1137, 3101, 5539, 16203, 15395, 12455, 1, 3, 1, 11, 5, 9, 43, 123, 91,
    23, 1199, 287, 5343, 1937, 12115, 4749, 1, 1, 7, 11, 27, 3, 29, 251, 413,
    147, 403, 2065, 2695, 11657, 15519, 49391, 1, 3, 7, 11, 25, 7, 125, 137, 479,
    753, 309, 1075, 7991, 2629, 4039, 6749, 1, 1, 7, 1, 3, 27, 69, 227, 503,
    915, 569, 115, 4299, 10799, 13745, 7973, 1, 3, 1, 11, 17, 49, 33, 161, 429,
    153, 1179, 4005, 6507, 10507, 1779, 5331, 1, 3, 1, 13, 25, 45, 117, 47, 253,
    851, 627, 593, 7555, 3677, 30695, 38851, 1, 3, 1, 11, 25, 19, 95, 191, 505,
    683, 67, 2375, 995, 8647, 4853, 17483, 1, 3, 3, 15, 7, 57, 101, 151, 477,
    343, 879, 2161, 1585, 1903, 6459, 45285, 1, 1, 5, 3, 7, 7, 31, 219, 137,
    107, 119, 2959, 7453, 9215, 20463, 61165, 1, 1, 3, 15, 25, 39, 41, 165, 421,
    567, 1095, 4055, 7321, 831, 81, 50377, 1, 1, 3, 1, 21, 23, 65, 31, 331,
    875, 1449, 653, 1975, 783, 29021, 47225, 1, 1, 7, 1, 21, 21, 39, 39, 289,
    129, 345, 2983, 2419, 133, 2519, 33307, 1, 3, 5, 1, 27, 23, 53, 63, 315,
    93, 335, 3239, 6749, 12985, 5863, 49565, 1, 3, 7, 11, 17, 23, 89, 253, 329,
    837, 589, 1135, 4099, 3123, 25567, 21017, 1, 3, 7, 3, 21, 17, 111, 21, 73,
    901, 2017, 3711, 159, 6703, 32209, 34411, 1, 1, 1, 9, 19, 59, 1, 31, 273,
    683, 1155, 2543, 477, 8479, 25235, 61595, 1, 1, 7, 1, 13, 17, 97, 49, 221,
    63, 197, 465, 1801, 5389, 10395, 54157, 1, 1, 5, 9, 11, 59, 79, 139, 249,
    185, 1131, 507, 3325, 2713, 27293, 21539, 1, 1, 3, 5, 9, 45, 103, 145, 327,
    675, 1609, 1703, 761, 4947, 187, 53903, 1, 1, 1, 9, 19, 13, 77, 143, 303,
    119, 1985, 1347, 6661, 6081, 9723, 52129, 1, 3, 3, 3, 27, 27, 15, 163, 139,
    159, 1921, 3549, 6477, 11423, 16055, 32399, 1, 3, 1, 13, 19, 59, 5, 73, 481,
    945, 187, 1223, 1771, 12961, 13853, 14513, 1, 1, 7, 11, 5, 63, 33, 185, 477,
    857, 1057, 2509, 7341, 7669, 13829, 51965, 1, 1, 3, 5, 23, 17, 7, 87, 101,
    817, 241, 853, 4067, 6409, 28217, 54395, 1, 3, 3, 3, 21, 55, 47, 159, 407,
    675, 1805, 2079, 1113, 149, 26071, 30829, 1, 1, 3, 13, 7, 3, 89, 161, 95,
    333, 525, 3979, 6831, 8007, 7063, 45299, 1, 1, 7, 5, 17, 37, 95, 129, 215,
    313, 1395, 2415, 6191, 6409, 29717, 4199, 1, 1, 1, 7, 7, 45, 75, 175, 407,
    763, 1037, 2477, 3167, 6991, 23905, 14707, 1, 3, 7, 7, 23, 23, 103, 217, 479,
    779, 941, 3173, 3639, 12833, 7133, 39269, 1, 1, 1, 5, 9, 55, 19, 147, 287,
    291, 1751, 2475, 6639, 5933, 27837, 33713, 1, 1, 5, 5, 11, 39, 65, 109, 95,
    637, 1897, 2395, 6975, 12431, 25097, 15649, 1, 1, 3, 7, 25, 37, 27, 53, 373,
    881, 1221, 2127, 1775, 2025, 10249, 55325, 1, 1, 7, 15, 5, 37, 1, 99, 249,
    209, 1177, 2953, 4455, 12125, 7679, 25543, 1, 3, 3, 13, 9, 19, 97, 11, 331,
    107, 1475, 769, 1749, 9375, 19477, 47559, 1, 3, 7, 15, 25, 57, 69, 45, 21,
    455, 1841, 1101, 2931, 2845, 21925, 43731, 1, 1, 3, 11, 27, 33, 31, 33, 9,
    825, 883, 2259, 7317, 5507, 3931, 61075, 1, 3, 7, 5, 7, 21, 97, 203, 449,
    671, 1037, 3985, 5655, 11099, 21981, 50149, 1, 1, 1, 1, 5, 19, 109, 247, 73,
    981, 1981, 3613, 6575, 3493, 9553, 259, 1, 1, 7, 9, 3, 55, 13, 175, 285,
    865, 1817, 911, 6393, 4843, 31569, 30115, 1, 1, 3, 15, 21, 51, 85, 239, 171,
    741, 881, 749, 4021, 2049, 25495, 62913, 1, 3, 1, 1, 19, 9, 111, 119, 171,
    903, 567, 1513, 8179, 10553, 5315, 63291, 1, 3, 5, 1, 1, 61, 21, 197, 165,
    371, 3, 2085, 669, 4497, 27467, 52995, 1, 3, 5, 13, 29, 37, 95, 247, 161,
    621, 83, 2597, 6779, 13747, 18873, 6173, 1, 1, 3, 5, 21, 5, 41, 137, 77,
    829, 689, 563, 5331, 8061, 21371, 58565, 1, 3, 7, 13, 1, 19, 11, 111, 35,
    39, 1513, 1241, 3739, 16191, 25097, 25947, 1, 1, 5, 1, 27, 45, 11, 29, 153,
    321, 1657, 1419, 6983, 11935, 8295, 24313, 1, 3, 3, 11, 1, 57, 109, 139, 53,
    883, 81, 333, 5133, 13891, 7775, 13401, 1, 3, 5, 15, 5, 35, 121, 15, 73,
    313, 1903, 437, 1567, 11905, 7679, 14265, 1, 3, 7, 3, 31, 63, 69, 135, 75,
    489, 1271, 585, 7361, 15965, 3099, 37309, 1, 1, 7, 11, 15, 21, 97, 73, 115,
    795, 421, 69, 7795, 9895, 1755, 44375, 1, 3, 5, 9, 17, 13, 49, 61, 395,
    637, 1737, 3103, 5197, 7799, 25425, 56313, 1, 3, 1, 9, 17, 19, 87, 131, 315,
    865, 813, 163, 1045, 12573, 12657, 43715, 1, 3, 7, 3, 27, 23, 9, 185, 291,
    421, 603, 1339, 1085, 15449, 1543, 5815, 1, 3, 1, 5, 29, 35, 15, 75, 135,
    911, 1153, 3067, 3475, 11653, 27485, 8459, 1, 3, 5, 7, 3, 9, 43, 29, 77,
    551, 973, 2165, 1499, 9185, 27025, 31605, 1, 1, 1, 9, 23, 49, 13, 229, 295,
    497, 187, 1995, 1883, 9109, 2689, 37275, 1, 1, 7, 15, 11, 1, 61, 183, 129,
    869, 1271, 3439, 7743, 5831, 12829, 1341, 1, 3, 7, 1, 17, 45, 31, 29, 441,
    533, 1479, 3519, 2083, 149, 22119, 37615, 1, 1, 3, 7, 31, 39, 101, 209, 237,
    211, 1015, 1339, 857, 3833, 16875, 38147, 1, 3, 7, 13, 29, 23, 9, 79, 71,
    363, 487, 595, 259, 12425, 28181, 20717, 1, 3, 3, 11, 1, 21, 97, 39, 101,
    1, 121, 3083, 109, 7889, 29005, 57081, 1, 3, 3, 15, 19, 19, 91, 17, 281,
    121, 1653, 3099, 181, 15911, 29553, 10047, 1, 1, 3, 9, 27, 39, 69, 57, 25,
    595, 723, 1779, 7537, 9397, 5563, 8197, 1, 1, 1, 1, 11, 61, 127, 81, 439,
    723, 1147, 3639, 1207, 5127, 10209, 33629, 1, 3, 1, 9, 27, 55, 69, 147, 477,
    663, 833, 3113, 2585, 9497, 679, 62759, 1, 3, 1, 15, 9, 51, 67, 191, 105,
    3, 1439, 1915, 3059, 3001, 4035, 551, 1, 1, 3, 15, 1, 3, 11, 171, 189,
    659, 1279, 3995, 6729, 6187, 22213, 22709, 1, 1, 7, 11, 27, 31, 3, 183, 209,
    931, 99, 1901, 113, 15779, 11525, 29949, 1, 3, 7, 13, 11, 51, 1, 173, 271,
    785, 1875, 2115, 1977, 189, 7819, 8133, 1, 3, 7, 7, 21, 9, 5, 253, 495,
    415, 3, 1979, 2331, 12229, 29901, 7115, 1, 3, 1, 15, 21, 11, 105, 81, 269,
    347, 901, 81, 7077, 11813, 18739, 57959, 1, 1, 1, 1, 19, 57, 17, 87, 325,
    129, 1907, 1641, 6247, 12073, 31629, 28503, 1, 1, 5, 15, 29, 27, 81, 11, 383,
    881, 1385, 3787, 503, 1369, 25031, 42049, 1, 3, 7, 15, 27, 15, 13, 13, 279,
    785, 163, 1907, 4523, 12133, 1497, 18845, 1, 3, 7, 9, 13, 37, 51, 83, 309,
    645, 383, 1607, 2087, 14287, 14375, 39619, 1, 3, 7, 5, 11, 13, 21, 45, 95,
    667, 1597, 1823, 5887, 10909, 26279, 29845, 1, 3, 1, 1, 25, 61, 21, 91, 81,
    173, 1271, 339, 2185, 16033, 3687, 53797, 1, 3, 3, 15, 19, 27, 59, 153, 453,
    523, 85, 3367, 4439, 13605, 6219, 25593, 1, 3, 5, 3, 27, 57, 127, 225, 199,
    823, 431, 2911, 4421, 14063, 1467, 46787, 1, 3, 5, 1, 31, 33, 17, 73, 357,
    199, 677, 2015, 1213, 8503, 4785, 54835, 1, 1, 1, 11, 15, 13, 65, 1, 311,
    469, 1307, 2605, 5281, 15665, 6349, 61753, 1, 1, 1, 3, 19, 33, 49, 141, 229,
    925, 1059, 1295, 3093, 6207, 7607, 63987, 1, 1, 3, 1, 21, 63, 17, 131, 27,
    295, 1969, 3259, 2011, 11005, 32249, 57641, 1, 3, 7, 15, 25, 27, 11, 105, 99,
    923, 1003, 2765, 49, 10367, 22119, 27199, 1, 1, 1, 3, 31, 11, 57, 253, 31,
    259, 1687, 1135, 1675, 12051, 3543, 19087, 1, 3, 5, 9, 9, 53, 119, 215, 213,
    67, 343, 2743, 7303, 14225, 13379, 51001, 1, 3, 7, 9, 1, 45, 11, 125, 209,
    459, 1037, 673, 2497, 669, 11251, 19387, 1, 1, 1, 15, 21, 47, 63, 45, 349,
    561, 1823, 2005, 4173, 5595, 3789, 34133, 1, 1, 3, 3, 5, 7, 83, 63, 305,
    679, 879, 3613, 7627, 9849, 3987, 28795, 1, 3, 7, 11, 7, 51, 119, 1, 21,
    213, 1399, 3715, 7775, 1003, 6749, 5547, 1, 1, 7, 9, 21, 53, 51, 137, 379,
    439, 1497, 3455, 2509, 2539, 3583, 5107, 1, 3, 5, 3, 9, 13, 73, 237, 65,
    53, 663, 3895, 7579, 10027, 23969, 34767, 1, 3, 7, 3, 13, 57, 125, 245, 243,
    561, 91, 863, 1925, 13553, 4113, 31077, 1, 1, 5, 7, 9, 31, 9, 83, 355,
    249, 1741, 3593, 425, 6377, 10607, 48275, 1, 3, 7, 3, 19, 17, 123, 75, 413,
    981, 877, 3489, 5907, 6141, 2729, 49219, 1, 3, 1, 3, 31, 39, 97, 233, 99,
    17, 105, 2911, 347, 4069, 32535, 47179, 1, 1, 5, 7, 1, 51, 1, 59, 197,
    487, 1763, 2449, 4249, 55, 11885, 57597, 1, 3, 5, 3, 25, 49, 43, 101, 353,
    759, 1295, 3441, 1521, 2879, 9815, 27091, 1, 3, 5, 11, 1, 7, 69, 205, 271,
    511, 1157, 3597, 2857, 10997, 15525, 6807, 1, 1, 1, 15, 11, 1, 45, 213, 463,
    389, 1761, 3005, 3359, 12829, 18211, 2107, 1, 1, 7, 13, 27, 59, 115, 203, 321,
    711, 1489, 2893, 1427, 4599, 17105, 10063, 1, 3, 1, 13, 5, 5, 53, 221, 97,
    535, 1967, 1951, 4077, 327, 18243, 43285, 1, 3, 5, 13, 9, 61, 59, 255, 143,
    21, 1859, 3509, 4295, 5107, 11117, 29431, 1, 3, 3, 13, 19, 13, 33, 169, 17,
    773, 1693, 147, 5143, 2357, 2295, 50187, 1, 1, 5, 11, 11, 19, 79, 151, 441,
    825, 665, 2947, 5391, 8695, 155, 26751, 1, 1, 7, 15, 13, 31, 77, 61, 249,
    341, 1737, 3567, 6337, 14457, 3799, 20283, 1, 1, 7, 11, 13, 5, 83, 59, 185,
    325, 2029, 1329, 1125, 10799, 27107, 2817, 1, 3, 5, 7, 17, 43, 21, 113, 57,
    503, 1647, 393, 4525, 8385, 27153, 37175, 1, 3, 1, 15, 23, 57, 3, 177, 419,
    65, 1895, 1107, 7705, 7915, 20677, 27931, 1, 3, 7, 13, 13, 63, 53, 237, 237,
    161, 265, 1053, 161, 11635, 1455, 55551, 1, 3, 7, 5, 15, 41, 7, 77, 93,
    737, 1195, 1381, 399, 7829, 6251, 34883, 1, 1, 5, 7, 23, 63, 119, 35, 115,
    829, 441, 4059, 4755, 11331, 18071, 6911, 1, 3, 3, 7, 21, 33, 49, 47, 329,
    341, 45, 3093, 5937, 6803, 31681, 9575, 1, 1, 1, 13, 13, 19, 121, 71, 231,
    915, 981, 93, 5879, 15645, 8555, 58411, 1, 3, 7, 5, 31, 45, 71, 189, 337,
    955, 1263, 2271, 1615, 15137, 29933, 16585, 1, 1, 7, 15, 29, 49, 85, 255, 143,
    585, 1099, 1159, 1519, 15593, 6177, 16083, 1, 3, 5, 1, 13, 59, 79, 67, 341,
    815, 703, 3857, 4711, 15155, 15997, 31699, 1, 3, 3, 7, 11, 51, 77, 231, 241,
    261, 1607, 4031, 3779, 4289, 22039, 47177, 1, 3, 7, 1, 21, 23, 31, 233, 225,
    883, 715, 777, 2433, 3665, 26695, 60997, 1, 3, 1, 1, 27, 17, 55, 33, 133,
    899, 1443, 283, 6839, 9497, 22399, 60527, 1, 1, 3, 3, 5, 63, 91, 5, 275,
    219, 1679, 2385, 4727, 9995, 14079, 24695, 1, 3, 7, 15, 9, 3, 77, 215, 265,
    317, 1655, 1027, 5029, 6867, 9465, 64257, 1, 3, 1, 3, 23, 7, 67, 63, 503,
    269, 85, 3669, 5941, 13833, 25857, 34221, 1, 1, 1, 7, 13, 31, 83, 113, 389,
    923, 1173, 2457, 997, 9761, 17033, 50521, 1, 3, 1, 1, 15, 31, 93, 243, 221,
    331, 1961, 3251, 6459, 3341, 28535, 27909, 1, 3, 1, 15, 27, 1, 75, 169, 277,
    921, 5, 1391, 5665, 14659, 6895, 37927, 1, 3, 1, 9, 17, 63, 93, 35, 225,
    109, 977, 2623, 3779, 8011, 11643, 57789, 1, 1, 5, 3, 17, 5, 63, 109, 449,
    695, 1021, 2749, 3981, 2073, 24537, 43643, 1, 1, 5, 1, 1, 19, 15, 249, 3,
    431, 743, 3813, 4013, 4027, 1943, 23569, 1, 3, 7, 1, 9, 49, 93, 59, 425,
    325, 1925, 495, 6611, 2425, 19847, 58683, 1, 3, 5, 5, 7, 21, 71, 51, 335,
    67, 373, 1805, 1805, 4069, 6585, 56579, 1, 3, 1, 7, 25, 27, 49, 131, 491,
    105, 1467, 665, 6777, 15467, 13597, 49141, 1, 3, 5, 13, 9, 9, 37, 159, 19,
    91, 1963, 3133, 5147, 8655, 11153, 44491, 1, 3, 5, 7, 13, 55, 41, 67, 155,
    853, 1651, 3511, 4391, 6359, 9129, 32359, 1, 3, 5, 5, 9, 3, 27, 101, 467,
    185, 1071, 1477, 1523, 9535, 15433, 7493, 1, 1, 1, 3, 15, 19, 3, 97, 241,
    995, 451, 1651, 241, 1063, 2521, 65531, 1, 3, 3, 5, 23, 13, 117, 65, 119,
    871, 1245, 3577, 7303, 9433, 13701, 21321, 1, 1, 1, 11, 25, 33, 121, 203, 325,
    775, 1835, 1385, 2541, 3399, 275, 54311, 1, 1, 3, 3, 13, 41, 5, 63, 415,
    771, 375, 3933, 5239, 1731, 7675, 11855, 1, 1, 5, 7, 23, 49, 27, 119, 231,
    897, 1995, 3847, 25, 7505, 2823, 10115, 1, 3, 5, 1, 5, 41, 41, 129, 339,
    861, 147, 3299, 1123, 2175, 27111, 2067, 1, 1, 3, 5, 5, 39, 71, 53, 483,
    585, 1167, 2037, 3125, 499, 29491, 43467, 1, 1, 1, 3, 25, 9, 85, 197, 271,
    457, 1159, 3805, 2423, 11777, 4383, 57495, 1, 3, 7, 9, 25, 5, 33, 255, 325,
    643, 499, 3233, 4477, 14189, 12183, 7667, 1, 3, 3, 5, 1, 63, 3, 51, 173,
    1011, 1423, 3453, 2471, 7801, 29989, 8347, 1, 1, 7, 11, 17, 39, 23, 13, 413,
    503, 321, 3699, 6441, 11953, 24253, 2561, 1, 1, 1, 3, 31, 45, 21, 215, 55,
    555, 771, 2703, 8113, 3279, 6053, 48617, 1, 1, 7, 9, 25, 25, 33, 101, 111,
    643, 1277, 3833, 7431, 14395, 20849, 14455, 1, 3, 7, 11, 21, 15, 95, 179, 437,
    747, 1131, 83, 415, 12605, 29245, 28021, 1, 3, 7, 5, 13, 59, 9, 217, 287,
    929, 691, 3201, 4915, 3301, 15371, 17063, 1, 1, 1, 7, 31, 3, 27, 229, 151,
    321, 801, 1271, 1195, 11221, 16903, 27919, 1, 1, 5, 9, 5, 41, 105, 133, 265,
    167, 505, 3939, 771, 1291, 1109, 52601, 1, 3, 5, 11, 21, 23, 23, 229, 197,
    623, 1973, 901, 147, 15751, 29429, 13159, 1, 1, 5, 11, 25, 53, 79, 123, 245,
    939, 1889, 4073, 417, 13625, 14691, 56965, 1, 1, 1, 11, 1, 39, 51, 231, 367,
    233, 1453, 3095, 6071, 7521, 469, 8407, 1, 3, 5, 1, 9, 17, 109, 135, 85,
    151, 1217, 1643, 4455, 3923, 11681, 32807, 1, 1, 1, 13, 11, 39, 27, 205, 85,
    1019, 1759, 1705, 4585, 8311, 29123, 44045, 1, 3, 1, 3, 9, 33, 65, 253, 319,
    65, 851, 3357, 2827, 10107, 10197, 19111, 1, 3, 7, 3, 3, 53, 67, 99, 501,
    603, 1409, 359, 7395, 12827, 10867, 17473, 1, 1, 7, 5, 5, 35, 97, 49, 365,
    971, 1707, 1305, 6801, 14451, 32473, 57269, 1, 1, 5, 11, 25, 57, 115, 195, 47,
    923, 1515, 2043, 803, 6371, 25341, 63263, 1, 1, 5, 3, 27, 53, 83, 91, 367,
    695, 1809, 927, 6815, 1229, 27359, 28937, 1, 1, 3, 7, 3, 3, 17, 203, 95,
    577, 1531, 1645, 7271, 5541, 30905, 38825, 1, 1, 7, 9, 7, 57, 97, 185, 75,
    681, 1197, 3713, 6429, 4723, 26275, 23495, 1, 3, 1, 3, 5, 25, 71, 171, 143,
    603, 1349, 1723, 7493, 8417, 24171, 13421, 1, 3, 1, 15, 23, 57, 33, 247, 409,
    511, 29, 1403, 5831, 1749, 28441, 4117, 1, 1, 3, 15, 31, 11, 105, 239, 431,
    127, 343, 961, 6449, 1677, 24937, 15859, 1, 1, 5, 3, 27, 57, 61, 245, 425,
    417, 301, 521, 2425, 2547, 11349, 47931, 1, 3, 5, 3, 15, 19, 19, 127, 151,
    913, 1061, 1795, 2519, 6297, 2519, 56677, 1, 1, 3, 9, 25, 3, 67, 53, 305,
    609, 1067, 1003, 6933, 14009, 24475, 23183, 1, 1, 5, 7, 21, 35, 89, 95, 399,
    341, 1337, 2815, 3605, 3209, 9881, 6399, 1, 1, 7, 1, 29, 63, 23, 219, 145,
    583, 985, 2577, 3951, 15199, 26981, 2755, 1, 3, 7, 1, 13, 45, 105, 139, 103,
    83, 819, 2655, 39, 11661, 11057, 38189, 1, 3, 1, 15, 23, 41, 79, 237, 353,
    67, 1551, 2345, 1169, 4623, 1391, 18607, 1, 1, 1, 13, 29, 31, 43, 65, 25,
    387, 1109, 2515, 3967, 2221, 27321, 20511, 1, 1, 1, 3, 17, 45, 35, 211, 31,
    45, 1791, 2225, 6995, 15241, 24555, 45993, 1, 1, 5, 5, 31, 25, 71, 57, 87,
    531, 117, 267, 2415, 2213, 603, 23369, 1, 1, 1, 5, 23, 53, 39, 3, 93,
    697, 25, 465, 1517, 6061, 11759, 34863, 1, 1, 1, 13, 29, 29, 41, 27, 499,
    285, 355, 3915, 1683, 11933, 24685, 59013, 1, 3, 1, 3, 21, 21, 25, 251, 109,
    469, 1841, 889, 6541, 12961, 9449, 48755, 1, 3, 1, 1, 21, 59, 41, 159, 159,
    105, 999, 2535, 3251, 12213, 24005, 17145, 1, 1, 7, 9, 1, 39, 43, 235, 447,
    767, 871, 453, 7285, 3387, 14625, 40099, 1, 1, 3, 3, 5, 11, 15, 205, 183,
    309, 1747, 1089, 3141, 9129, 25149, 63109, 1, 3, 7, 15, 23, 15, 7, 157, 45,
    263, 1383, 735, 205, 16021, 13233, 23425, 1, 1, 7, 13, 11, 31, 53, 23, 357,
    953, 611, 2579, 475, 15183, 12755, 10347, 1, 1, 1, 5, 7, 27, 41, 215, 247,
    1001, 1369, 3105, 3195, 13417, 6967, 52501, 1, 3, 7, 3, 3, 61, 35, 175, 415,
    835, 1381, 3951, 6857, 10273, 26657, 5239, 1, 3, 7, 5, 1, 27, 3, 251, 499,
    637, 1101, 3817, 4823, 3065, 29919, 4151, 1, 3, 7, 13, 19, 39, 1, 141, 353,
    853, 295, 1201, 6895, 3965, 6417, 47379, 1, 1, 7, 13, 11, 9, 99, 225, 161,
    349, 421, 2803, 4461, 2319, 2495, 62429, 1, 3, 1, 13, 31, 1, 47, 115, 299,
    331, 1917, 2547, 969, 4841, 8237, 2405, 1, 1, 1, 9, 9, 19, 77, 35, 225,
    211, 1875, 3531, 2753, 12679, 6863, 42143, 1, 1, 1, 3, 29, 25, 105, 19, 269,
    863, 811, 2741, 143, 6353, 25109, 62251, 1, 3, 5, 3, 27, 51, 11, 61, 245,
    517, 891, 2081, 4523, 11703, 31477, 12113, 1, 1, 1, 1, 27, 29, 25, 47, 143,
    489, 1475, 1139, 1855, 8031, 21341, 23619, 1, 1, 5, 1, 3, 45, 103, 59, 123,
    831, 1883, 149, 5843, 10275, 3121, 21411, 1, 1, 7, 1, 21, 11, 1, 35, 285,
    501, 1407, 1307, 1371, 15057, 14091, 52279, 1, 1, 3, 13, 3, 5, 9, 167, 139,
    255, 1561, 2183, 1079, 2055, 24779, 19737, 1, 1, 7, 13, 31, 29, 59, 157, 311,
    447, 21, 2177, 3679, 7519, 987, 44221, 1, 3, 3, 1, 11, 31, 95, 23, 457,
    733, 1413, 273, 333, 14391, 16557, 35227, 1, 1, 3, 9, 5, 3, 103, 59, 21,
    475, 1455, 2995, 7651, 4893, 21739, 21379, 1, 3, 5, 1, 9, 63, 55, 127, 283,
    603, 1477, 331, 2115, 15965, 22433, 17311, 1, 1, 3, 3, 5, 61, 105, 175, 245,
    431, 479, 821, 3835, 3585, 16533, 63233, 1, 1, 7, 1, 31, 57, 9, 11, 145,
    519, 1915, 2809, 2943, 13885, 31223, 32897, 1, 3, 1, 15, 5, 39, 67, 179, 285,
    91, 1429, 3571, 1925, 9737, 28647, 8189, 1, 3, 7, 11, 21, 25, 51, 173, 151,
    283, 765, 2717, 3541, 10317, 9827, 24445, 1, 3, 1, 13, 31, 25, 121, 71, 347,
    129, 159, 1845, 475, 12777, 19607, 7163, 1, 3, 1, 9, 29, 37, 59, 117, 375,
    411, 1031, 3781, 3119, 6851, 30759, 46181, 1, 3, 1, 7, 5, 41, 81, 141, 377,
    817, 1007, 2211, 7303, 5833, 6117, 52265, 1, 3, 5, 3, 7, 63, 83, 181, 169,
    19, 1589, 3793, 7003, 12145, 25625, 35731, 1, 1, 1, 5, 21, 39, 15, 225, 231,
    497, 917, 559, 6515, 13637, 17721, 4725, 1, 3, 1, 15, 17, 19, 93, 65, 281,
    775, 613, 2453, 1969, 2499, 5373, 28207, 1, 1, 5, 11, 9, 37, 103, 211, 357,
    409, 457, 1527, 3289, 14293, 7681, 58069, 1, 3, 5, 9, 1, 29, 83, 1, 35,
    655, 491, 1447, 725, 7807, 13311, 345, 1, 3, 1, 7, 19, 59, 103, 243, 157,
    209, 399, 1113, 1595, 15075, 22475, 42835, 1, 3, 5, 5, 27, 53, 69, 73, 413,
    443, 559, 427, 2841, 13107, 8909, 35265, 1, 3, 3, 7, 21, 39, 99, 75, 341,
    917, 11, 1247, 247, 14285, 24531, 58523, 1, 1, 7, 9, 29, 1, 55, 143, 363,
    527, 103, 3735, 6373, 7837, 24451, 36999, 1, 1, 3, 3, 3, 51, 71, 103, 173,
    397, 1683, 489, 6515, 2531, 12517, 63165, 1, 3, 7, 3, 27, 15, 31, 63, 323,
    903, 1025, 2761, 1813, 2839, 2065, 20013, 1, 1, 1, 13, 19, 37, 49, 207, 57,
    45, 1517, 2715, 6315, 10499, 27195, 56175, 1, 3, 5, 11, 13, 47, 91, 81, 459,
    801, 1111, 3023, 5901, 12735, 14233, 24383, 1, 3, 1, 5, 19, 39, 11, 69, 333,
    17, 1339, 2991, 4411, 2749, 15423, 13805, 1, 3, 5, 9, 19, 3, 109, 45, 461,
    103, 811, 3089, 893, 16121, 1337, 31929, 1, 3, 7, 11, 3, 21, 125, 241, 355,
    519, 1551, 3273, 2413, 3371, 11435, 2277, 1, 1, 5, 9, 7, 21, 93, 79, 25,
    265, 1045, 2011, 4883, 8631, 22461, 31117, 1, 1, 3, 9, 13, 35, 61, 203, 371,
    185, 1445, 2017, 363, 13603, 23097, 22617, 1, 1, 1, 1, 29, 33, 9, 139, 73,
    119, 755, 2117, 3949, 3403, 30007, 58147, 1, 1, 3, 5, 9, 29, 85, 1, 349,
    573, 1191, 133, 235, 1557, 18147, 5839, 1, 3, 3, 5, 15, 45, 5, 95, 359,
    223, 37, 547, 3407, 4927, 32417, 49205, 1, 1, 7, 11, 21, 57, 127, 95, 355,
    903, 1555, 9, 1249, 2463, 7921, 20633, 1, 3, 3, 11, 29, 35, 95, 237, 43,
    289, 1547, 3951, 5489, 2699, 347, 14405, 1, 3, 3, 11, 11, 23, 33, 171, 37,
    989, 917, 139, 5497, 617, 25555, 27031, 1, 1, 5, 1, 21, 55, 63, 191, 93,
    207, 1799, 2143, 4147, 6853, 18129, 18287, 1, 3, 7, 15, 23, 39, 59, 131, 51,
    113, 941, 2599, 5593, 11311, 30561, 22307, 1, 3, 7, 5, 21, 49, 93, 5, 399,
    173, 1017, 3551, 937, 13653, 21411, 56835, 1, 3, 1, 1, 15, 47, 57, 19, 93,
    931, 1803, 2947, 1291, 10979, 22069, 47485, 1, 3, 7, 11, 31, 19, 75, 195, 23,
    235, 137, 2521, 4109, 233, 26961, 19185, 1, 3, 3, 15, 9, 17, 87, 239, 233,
    939, 1643, 1189, 7875, 5199, 26603, 52223, 1, 3, 5, 7, 3, 31, 21, 255, 41,
    95, 1267, 1873, 5535, 8419, 19791, 14811, 1, 1, 7, 15, 7, 51, 27, 35, 17,
    1015, 661, 2679, 1269, 15729, 17329, 33555, 1, 1, 5, 1, 13, 19, 39, 105, 173,
    255, 1873, 1527, 253, 3517, 19867, 56765, 1, 1, 7, 1, 15, 13, 85, 27, 491,
    827, 1151, 3591, 7819, 10085, 11307, 45059, 1, 3, 5, 15, 21, 17, 23, 207, 223,
    721, 655, 243, 4289, 4973, 29709, 9203, 1, 1, 5, 11, 27, 51, 3, 199, 277,
    121, 1637, 3973, 861, 7215, 32577, 4391, 1, 1, 7, 9, 21, 27, 33, 199, 29,
    917, 99, 2755, 821, 16003, 8325, 55587, 1, 1, 7, 1, 19, 17, 61, 39, 377,
    739, 13, 3435, 5081, 10591, 11957, 30049, 1, 1, 5, 1, 25, 13, 117, 5, 479,
    579, 907, 3135, 1011, 3389, 135, 41711, 1, 3, 5, 5, 19, 15, 89, 169, 321,
    981, 365, 333, 4913, 9577, 13835, 23439, 1, 1, 5, 11, 31, 27, 103, 25, 129,
    207, 259, 2033, 7931, 8357, 17451, 60583, 1, 1, 7, 11, 15, 47, 59, 151, 291,
    669, 663, 111, 4809, 14179, 22313, 51969, 1, 3, 3, 5, 1, 5, 87, 25, 179,
    641, 1133, 629, 2281, 6213, 14281, 54147, 1, 1, 5, 15, 29, 33, 89, 63, 331,
    379, 453, 1903, 7319, 15063, 31383, 23099, 1, 3, 1, 15, 23, 7, 13, 71, 367,
    53, 983, 3615, 5601, 2569, 18173, 40563, 1, 3, 1, 15, 23, 41, 35, 215, 401,
    807, 1809, 3919, 5651, 1249, 9699, 14275, 1, 1, 3, 1, 15, 55, 7, 235, 171,
    911, 1351, 2863, 5735, 8577, 7489, 42047, 1, 3, 1, 5, 29, 35, 11, 211, 133,
    507, 1127, 2443, 7895, 10519, 13035, 26165, 1, 1, 1, 9, 21, 39, 107, 55, 235,
    409, 39, 1681, 2699, 3143, 847, 35635, 1, 3, 7, 3, 27, 57, 79, 173, 273,
    919, 1917, 4005, 1299, 14743, 24093, 64047, 1, 1, 7, 11, 13, 53, 45, 195, 39,
    379, 1699, 2401, 7131, 7205, 24419, 32161, 1, 3, 3, 15, 31, 31, 35, 199, 421,
    367, 1517, 1559, 3627, 10281, 27963, 31115, 1, 1, 5, 15, 5, 59, 89, 195, 263,
    853, 1043, 3699, 2543, 9893, 727, 62533, 1, 1, 7, 5, 29, 49, 101, 219, 135,
    643, 321, 83, 1651, 2347, 1519, 21683, 1, 1, 3, 5, 11, 17, 3, 75, 255,
    359, 1231, 2333, 6745, 2393, 4213, 7689, 1, 1, 5, 13, 23, 27, 53, 51, 307,
    87, 1409, 3555, 8139, 8597, 27357, 28489, 1, 3, 3, 1, 29, 31, 53, 175, 245,
    815, 461, 1681, 2255, 761, 18061, 13273, 1, 3, 3, 7, 21, 41, 81, 243, 9,
    973, 1411, 2327, 4575, 2659, 22903, 27605, 1, 1, 3, 7, 1, 3, 91, 203, 149,
    101, 1745, 1427, 4107, 11967, 13545, 19249, 1, 3, 1, 1, 3, 13, 47, 13, 291,
    813, 97, 2741, 2847, 2845, 6437, 1497, 1, 3, 3, 1, 15, 7, 121, 173, 333,
    977, 357, 3439, 8023, 8741, 205, 11447, 1, 1, 3, 13, 17, 57, 79, 3, 455,
    673, 1877, 2019, 4809, 10635, 19927, 38703, 1, 1, 1, 15, 17, 23, 65, 157, 265,
    177, 697, 3281, 409, 471, 113, 16349, 1, 3, 3, 11, 19, 57, 125, 55, 343,
    177, 621, 1827, 983, 2491, 10389, 49879, 1, 1, 5, 1, 23, 21, 125, 13, 155,
    459, 1677, 2585, 6703, 945, 5341, 54821, 1, 3, 3, 1, 1, 59, 75, 137, 261,
    563, 1145, 759, 2363, 12949, 16677, 43535, 1, 3, 1, 1, 31, 13, 29, 59, 263,
    879, 49, 1365, 4977, 6981, 32683, 25063, 1, 3, 3, 11, 27, 63, 41, 101, 353,
    611, 349, 1947, 6473, 3099, 28855, 27945, 1, 1, 5, 3, 13, 49, 59, 5, 401,
    679, 2045, 2267, 5879, 12809, 23767, 47855, 1, 1, 5, 11, 17, 1, 25, 235, 67,
    155, 629, 25, 2565, 12261, 28847, 19987, 1, 3, 1, 1, 23, 39, 117, 147, 155,
    797, 1487, 921, 1205, 9947, 14603, 21335, 1, 1, 3, 13, 21, 45, 49, 175, 447,
    303, 531, 2923, 3887, 16273, 5121, 38965, 1, 1, 7, 11, 5, 21, 53, 201, 1,
    207, 181, 1263, 833, 5435, 28363, 62913, 1, 1, 3, 5, 11, 31, 1, 63, 343,
    221, 23, 1315, 7639, 9983, 9167, 63489, 1, 3, 3, 1, 21, 43, 7, 161, 471,
    749, 1547, 1645, 1557, 9719, 14017, 43281, 1, 1, 1, 7, 3, 23, 49, 29, 259,
    367, 1929, 3925, 4197, 8353, 28995, 41225, 1, 3, 1, 9, 5, 31, 33, 195, 33,
    171, 1021, 127, 5275, 10751, 12483, 7097, 1, 3, 5, 3, 19, 21, 3, 113, 217,
    953, 419, 1689, 8011, 805, 20691, 39159, 1, 1, 5, 1, 27, 35, 83, 173, 299,
    687, 493, 3965, 5963, 1307, 16379, 34297, 1, 3, 7, 3, 11, 63, 103, 199, 207,
    25, 1471, 2047, 7271, 7735, 4313, 45205, 1, 3, 1, 7, 9, 23, 33, 207, 213,
    125, 1871, 2073, 53, 9953, 1327, 41943, 1, 3, 7, 3, 19, 55, 3, 159, 147,
    649, 1161, 2245, 4303, 9971, 29633, 56535, 1, 3, 3, 5, 1, 1, 57, 101, 265,
    859, 137, 763, 6657, 8659, 21037, 22757, 1, 1, 1, 7, 11, 23, 39, 129, 49,
    987, 2013, 4071, 1289, 6471, 6231, 23987, 1, 3, 7, 3, 29, 7, 87, 253, 111,
    55, 1719, 321, 3579, 4489, 28323, 35091, 1, 1, 5, 13, 17, 1, 39, 73, 455,
    31, 1215, 2683, 6193, 15725, 2737, 24927, 1, 3, 1, 7, 15, 63, 69, 125, 127,
    337, 129, 2667, 4723, 8489, 6129, 14973, 1, 3, 1, 9, 21, 37, 109, 91, 499,
    767, 1095, 2731, 6129, 2167, 21311, 43503, 1, 3, 7, 7, 29, 11, 87, 101, 19,
    699, 1601, 2341, 3623, 1799, 2253, 40705, 1, 1, 7, 1, 27, 25, 111, 91, 49,
    3, 13, 3851, 3735, 13387, 4501, 64303, 1, 1, 3, 13, 21, 63, 7, 65, 241,
    925, 705, 3745, 827, 7227, 1869, 60375, 1, 3, 1, 7, 31, 45, 5, 51, 45,
    595, 1069, 3139, 5843, 2581, 22573, 53297, 1, 1, 5, 3, 5, 9, 89, 91, 349,
    241, 369, 279, 617, 4479, 12761, 14473, 1, 3, 1, 1, 13, 45, 91, 29, 219,
    341, 1831, 1993, 3661, 1855, 7243, 3477, 1, 3, 3, 13, 15, 17, 27, 123, 223,
    127, 111, 2375, 3919, 7569, 4419, 24957, 1, 3, 7, 1, 17, 1, 49, 111, 103,
    67, 75, 3109, 1783, 13291, 5409, 33123, 1, 3, 5, 3, 1, 51, 107, 89, 233,
    51, 745, 2005, 5485, 7537, 13353, 34579, 1, 1, 7, 3, 9, 3, 25, 95, 413,
    461, 1597, 767, 3183, 10285, 10579, 26581, 1, 1, 5, 7, 25, 3, 27, 93, 433,
    59, 701, 1825, 6375, 6477, 6743, 42101, 1, 3, 1, 3, 19, 45, 95, 207, 267,
    623, 1523, 1541, 3955, 4681, 2365, 16661, 1, 1, 3, 13, 19, 35, 83, 151, 159,
    825, 205, 2215, 4767, 797, 12821, 14951, 1, 1, 5, 13, 15, 5, 99, 141, 21,
    537, 657, 2055, 1571, 12725, 4227, 21061, 1, 1, 1, 13, 1, 39, 85, 229, 9,
    721, 1117, 519, 1763, 13211, 32533, 41393, 1, 1, 3, 15, 23, 11, 125, 59, 439,
    887, 1273, 3707, 7737, 4115, 7013, 47453, 1, 1, 1, 5, 9, 25, 53, 203, 9,
    189, 471, 637, 5983, 1693, 8425, 52181, 1, 1, 1, 1, 29, 61, 33, 87, 153,
    625, 539, 3595, 3161, 3929, 22825, 50113, 1, 3, 7, 7, 1, 31, 105, 169, 475,
    631, 1511, 3687, 5321, 3859, 19329, 9571, 1, 3, 7, 1, 9, 13, 111, 79, 245,
    351, 69, 59, 5561, 4713, 22789, 14929, 1, 1, 3, 1, 1, 55, 87, 147, 37,
    587, 479, 3175, 5437, 12267, 7057, 57899, 1, 1, 5, 11, 15, 55, 87, 53, 359,
    491, 343, 621, 1055, 8697, 28993, 20473, 1, 3, 3, 15, 13, 11, 63, 179, 293,
    639, 809, 1365, 7043, 13269, 5423, 36465, 1, 1, 5, 11, 31, 49, 27, 71, 187,
    377, 283, 2407, 2987, 8565, 15159, 44501, 1, 3, 1, 1, 27, 5, 79, 211, 315,
    645, 951, 4025, 1647, 2893, 23829, 23941, 1, 1, 7, 15, 15, 29, 81, 133, 345,
    573, 1605, 2693, 5293, 13579, 21793, 30981, 1, 3, 7, 5, 31, 19, 109, 141, 389,
    473, 1359, 1695, 6761, 3701, 27583, 47907, 1, 1, 3, 5, 7, 43, 51, 139, 81,
    111, 417, 2627, 2297, 12493, 24401, 42525, 1, 3, 7, 3, 21, 9, 65, 141, 119,
    971, 589, 2635, 6365, 1925, 15853, 47123, 1, 1, 3, 1, 25, 15, 93, 151, 443,
    325, 457, 3779, 7669, 2063, 20005, 6513, 1, 1, 5, 11, 7, 13, 127, 55, 183,
    663, 437, 3475, 6391, 8423, 8473, 41971, 1, 1, 5, 9, 7, 15, 113, 225, 259,
    85, 945, 645, 5129, 3657, 931, 30429, 1, 3, 3, 15, 9, 63, 23, 117, 205,
    295, 1325, 1349, 5521, 9399, 7907, 26373, 1, 3, 7, 5, 17, 23, 47, 75, 97,
    35, 1363, 793, 2811, 3491, 18173, 8353, 1, 3, 3, 11, 25, 27, 107, 9, 331,
    1017, 615, 1123, 1303, 5705, 14013, 39207, 1, 3, 1, 7, 3, 17, 101, 17, 461,
    781, 345, 2687, 5867, 1367, 17245, 18929, 1, 1, 1, 13, 3, 53, 55, 37, 257,
    101, 195, 1193, 5419, 4243, 6079, 32461, 1, 1, 1, 13, 29, 21, 51, 123, 145,
    105, 639, 2389, 6985, 2519, 12351, 45859, 1, 1, 3, 13, 31, 17, 75, 121, 11,
    945, 1917, 601, 3765, 14215, 19075, 26317, 1, 3, 7, 13, 21, 3, 57, 17, 97,
    567, 839, 135, 2441, 4613, 10511, 21927, 1, 3, 5, 1, 21, 27, 1, 109, 381,
    241, 1701, 1255, 1469, 8415, 18789, 1769, 1, 3, 1, 11, 11, 45, 77, 209, 55,
    371, 1323, 2899, 7387, 10317, 32695, 52199, 1, 3, 5, 9, 15, 59, 45, 97, 369,
    247, 1621, 2037, 4569, 16043, 2225, 39055, 1, 1, 7, 1, 21, 43, 85, 195, 99,
    85, 1759, 547, 4371, 14467, 17551, 52185, 1, 1, 3, 1, 17, 53, 79, 203, 49,
    289, 1547, 1173, 1445, 11593, 29927, 63479, 1, 3, 3, 5, 3, 61, 31, 71, 321,
    923, 1337, 3465, 3305, 10841, 31921, 3057, 1, 3, 5, 11, 31, 1, 39, 201, 57,
    913, 1953, 193, 4185, 5895, 27027, 10889, 1, 3, 1, 9, 7, 9, 89, 145, 445,
    643, 279, 1983, 491, 11825, 1857, 11201, 1, 3, 1, 5, 9, 39, 21, 245, 403,
    393, 779, 1419, 967, 14309, 6789, 54477, 1, 3, 5, 7, 31, 21, 65, 211, 447,
    263, 665, 3311, 405, 1775, 31121, 54025, 1, 3, 5, 11, 13, 9, 95, 243, 139,
    733, 813, 3855, 2731, 11651, 2175, 9655, 1, 1, 1, 1, 21, 5, 5, 241, 415,
    241, 1223, 3237, 2265, 3761, 26883, 37875, 1, 1, 1, 13, 25, 45, 97, 73, 353,
    393, 1217, 563, 5813, 2791, 16477, 4401, 1, 3, 5, 13, 17, 61, 1, 247, 439,
    1013, 501, 881, 353, 4689, 18733, 46731, 1, 3, 1, 11, 11, 29, 87, 53, 461,
    751, 1503, 2851, 2891, 15231, 1513, 12573, 1, 3, 1, 3, 1, 13, 95, 239, 151,
    159, 55, 1203, 1331, 10429, 19159, 18431, 1, 3, 3, 15, 11, 43, 81, 133, 449,
    523, 667, 2759, 6829, 15129, 19829, 31745, 1, 1, 1, 13, 25, 43, 115, 171, 475,
    553, 1615, 1421, 2363, 13091, 27505, 21247, 1, 3, 5, 13, 1, 23, 15, 25, 205,
    797, 1013, 1903, 1595, 16373, 29983, 23009, 1, 1, 1, 11, 3, 27, 79, 179, 147,
    905, 1893, 2459, 3063, 7447, 16293, 14331, 1, 3, 7, 1, 19, 49, 41, 19, 97,
    559, 1213, 847, 3715, 13963, 20273, 25565, 1, 3, 7, 3, 27, 21, 75, 1, 157,
    715, 41, 2383, 4609, 9875, 21509, 57199, 1, 1, 1, 9, 5, 51, 93, 115, 495,
    687, 1805, 1369, 1525, 15841, 8897, 21023, 1, 1, 3, 11, 21, 41, 93, 107, 391,
    567, 223, 2331, 6009, 9405, 13137, 54727, 1, 3, 1, 15, 5, 59, 119, 165, 485,
    765, 243, 2589, 4631, 4045, 26867, 55329, 1, 1, 7, 9, 17, 45, 35, 219, 137,
    315, 293, 1137, 6675, 10693, 17455, 35603, 1, 3, 7, 13, 11, 43, 65, 205, 351,
    155, 1371, 3069, 1345, 859, 21385, 25923, 1, 1, 3, 3, 11, 21, 39, 195, 349,
    333, 687, 1155, 1491, 10453, 17615, 64801, 1, 3, 1, 9, 17, 45, 39, 137, 25,
    105, 441, 2437, 7715, 8501, 3999, 15913, 1, 1, 1, 9, 31, 21, 93, 31, 63,
    635, 331, 149, 1683, 6183, 19333, 34947, 1, 3, 3, 5, 23, 11, 15, 239, 365,
    983, 389, 945, 1765, 6417, 4471, 41431, 1, 3, 1, 5, 5, 49, 49, 27, 417,
    605, 1495, 4021, 1775, 3691, 21803, 60999, 1, 3, 3, 5, 23, 21, 33, 205, 481,
    105, 359, 1407, 4007, 35, 10789, 27721, 1, 1, 5, 3, 5, 33, 51, 61, 29,
    337, 1523, 955, 4923, 1977, 16505, 21249, 1, 3, 1, 11, 17, 19, 39, 7, 443,
    557, 611, 4037, 5873, 15161, 449, 41747, 1, 1, 7, 11, 5, 53, 91, 227, 217,
    689, 7, 775, 8139, 10997, 29539, 60185, 1, 1, 5, 1, 7, 59, 117, 101, 145,
    779, 1359, 3375, 2493, 13075, 11475, 49507, 1, 1, 1, 3, 13, 31, 39, 219, 181,
    203, 19, 659, 533, 2541, 7285, 29353, 1, 3, 3, 1, 29, 33, 1, 125, 283,
    61, 303, 1613, 4309, 1891, 7107, 25977, 1, 3, 5, 9, 21, 59, 41, 63, 123,
    715, 893, 3509, 6785, 11009, 17749, 18349, 1, 3, 1, 1, 25, 23, 15, 1, 147,
    709, 957, 1101, 2733, 14069, 18905, 12467, 1, 3, 3, 13, 9, 63, 109, 39, 123,
    919, 427, 435, 5241, 14169, 31179, 15887, 1, 1, 7, 15, 13, 25, 29, 187, 433,
    633, 1203, 113, 4577, 13349, 18407, 62825, 1, 1, 5, 1, 15, 33, 53, 209, 415,
    711, 1543, 1529, 4991, 9545, 19655, 40427, 1, 1, 5, 5, 23, 59, 27, 23, 7,
    841, 1715, 43, 4987, 2073, 13765, 36105, 1, 3, 3, 15, 31, 5, 51, 183, 319,
    443, 621, 349, 2835, 10847, 19059, 51689, 1, 3, 1, 9, 5, 3, 21, 81, 357,
    609, 2019, 2613, 333, 5699, 2485, 52105, 1, 1, 3, 15, 3, 11, 73, 121, 263,
    833, 65, 347, 4821, 4631, 29929, 42157, 1, 1, 7, 3, 1, 63, 7, 191, 47,
    405, 43, 1499, 5539, 12607, 26095, 20759, 1, 3, 3, 5, 15, 21, 109, 3, 15,
    57, 1669, 4033, 5251, 4465, 28057, 64943, 1, 1, 3, 9, 7, 61, 31, 17, 331,
    671, 1955, 1035, 7183, 6559, 19299, 10225, 1, 1, 5, 11, 31, 15, 97, 3, 361,
    541, 323, 1463, 6867, 12717, 9593, 15407, 1, 1, 1, 5, 29, 39, 71, 27, 305,
    589, 1441, 2349, 185, 447, 24223, 53591, 1, 1, 7, 15, 15, 59, 81, 77, 371,
    891, 31, 457, 3073, 8427, 8225, 53157, 1, 3, 3, 11, 23, 61, 71, 85, 39,
    77, 1583, 933, 6147, 2271, 24761, 15835, 1, 3, 7, 11, 25, 55, 41, 131, 275,
    603, 43, 761, 5071, 14149, 4001, 6545, 1, 1, 5, 3, 5, 1, 25, 217, 445,
    197, 863, 3557, 585, 13599, 12329, 17331, 1, 3, 3, 13, 9, 21, 21, 89, 121,
    1017, 1559, 83, 5225, 13247, 12003, 10049, 1, 3, 3, 9, 31, 15, 71, 45, 161,
    895, 1431, 1277, 2547, 1943, 17631, 59133, 1, 1, 1, 9, 11, 17, 29, 157, 355,
    89, 401, 983, 8175, 11687, 20087, 7541, 1, 3, 7, 5, 15, 45, 23, 141, 365,
    593, 1137, 873, 2903, 8861, 25805, 22601, 1, 1, 3, 11, 27, 17, 97, 3, 359,
    531, 329, 437, 3483, 8653, 15953, 48333, 1, 3, 5, 3, 9, 43, 79, 223, 149,
    177, 1075, 545, 7235, 4271, 20153, 65481, 1, 3, 1, 13, 5, 55, 29, 51, 497,
    677, 167, 391, 1371, 8753, 23771, 48167, 1, 1, 5, 3, 7, 17, 7, 227, 21,
    521, 221, 3529, 5641, 4139, 14839, 49863, 1, 1, 3, 9, 7, 41, 17, 151, 401,
    407, 689, 507, 6683, 12515, 26895, 60863, 1, 1, 3, 7, 3, 53, 27, 185, 119,
    891, 2025, 607, 6961, 4263, 7795, 34157, 1, 1, 3, 3, 25, 19, 15, 131, 323,
    27, 1749, 2429, 2207, 9207, 18333, 25857, 1, 1, 5, 5, 21, 57, 61, 93, 305,
    497, 1465, 3639, 7695, 3903, 31201, 45699, 1, 1, 5, 11, 25, 35, 93, 55, 415,
    397, 1375, 809, 6205, 9761, 23129, 28757, 1, 3, 5, 9, 13, 21, 1, 167, 65,
    689, 525, 2839, 4069, 10123, 24403, 4121, 1, 1, 3, 13, 11, 21, 67, 159, 131,
    579, 1397, 251, 3933, 14737, 22047, 4173, 1, 1, 3, 13, 9, 47, 71, 81, 141,
    607, 1879, 3057, 6493, 1177, 27261, 59313, 1, 1, 3, 11, 25, 45, 35, 193, 251,
    223, 1725, 1533, 5799, 12417, 29765, 50203, 1, 3, 1, 13, 27, 1, 41, 171, 293,
    65, 607, 2843, 2955, 8783, 21249, 41695, 1, 3, 1, 3, 3, 57, 39, 31, 507,
    687, 2009, 2881, 4595, 9275, 9773, 31489, 1, 3, 1, 7, 17, 11, 47, 233, 193,
    395, 1879, 1983, 4811, 1221, 27279, 52089, 1, 3, 1, 1, 13, 57, 51, 253, 381,
    779, 897, 2893, 4373, 6599, 7533, 30359, 1, 3, 3, 3, 5, 35, 1, 117, 81,
    35, 2005, 2133, 4493, 9773, 24265, 45945, 1, 1, 3, 1, 21, 57, 67, 157, 111,
    857, 899, 2081, 2097, 16005, 20535, 2955, 1, 1, 1, 11, 19, 45, 109, 83, 375,
    1003, 79, 3801, 3433, 4429, 32385, 31551, 1, 1, 3, 3, 1, 15, 115, 47, 511,
    533, 1711, 2433, 3027, 13511, 23743, 23805, 1, 1, 7, 15, 31, 11, 107, 215, 431,
    935, 1033, 213, 7913, 557, 22063, 7947, 1, 3, 3, 1, 23, 25, 109, 183, 445,
    477, 1297, 2269, 3593, 5657, 995, 19821, 1, 3, 3, 9, 5, 19, 93, 137, 155,
    5, 1905, 1551, 6321, 11213, 6305, 5063, 1, 1, 3, 15, 9, 5, 123, 203, 379,
    159, 1871, 2377, 665, 4877, 17663, 60371, 1, 1, 1, 15, 3, 7, 109, 15, 109,
    117, 79, 3061, 667, 6963, 30565, 25745, 1, 3, 5, 1, 15, 7, 105, 139, 29,
    923, 1449, 1349, 2951, 7443, 10243, 51739, 1, 1, 7, 5, 5, 47, 91, 77, 437,
    483, 1309, 1559, 6491, 13469, 9461, 40993, 1, 1, 7, 5, 5, 35, 57, 139, 207,
    267, 707, 1887, 3447, 3959, 8169, 14511, 1, 1, 7, 15, 23, 9, 57, 183, 437,
    595, 1317, 3847, 2515, 13415, 26651, 41885, 1, 3, 3, 3, 21, 49, 71, 129, 15,
    183, 315, 57, 1739, 15119, 15293, 8489, 1, 3, 1, 3, 7, 63, 91, 241, 355,
    921, 1827, 1, 5713, 3233, 21901, 48009, 1, 3, 7, 13, 31, 9, 103, 209, 289,
    575, 1543, 653, 7189, 1843, 5205, 27325, 1, 1, 7, 7, 15, 63, 7, 71, 95,
    861, 857, 701, 6843, 10609, 11177, 21043, 1, 3, 3, 9, 25, 31, 85, 255, 247,
    773, 1503, 2379, 7231, 6013, 16193, 33855, 1, 1, 3, 11, 5, 27, 125, 159, 381,
    665, 1059, 2527, 1423, 3055, 8363, 57053, 1, 1, 5, 3, 25, 57, 107, 89, 499,
    761, 909, 1487, 1569, 9353, 27477, 39373, 1, 3, 5, 9, 1, 57, 81, 27, 41,
    371, 1111, 2437, 3669, 6033, 28601, 38985, 1, 3, 5, 5, 25, 63, 85, 171, 187,
    387, 1971, 579, 2779, 7667, 25423, 61005, 1, 1, 5, 1, 25, 37, 87, 93, 387,
    95, 65, 3345, 6581, 13325, 9683, 25399, 1, 3, 5, 11, 9, 33, 81, 69, 483,
    79, 123, 3241, 2599, 7545, 17775, 34933, 1, 1, 7, 1, 9, 41, 27, 191, 385,
    439, 347, 1279, 4491, 8883, 31599, 27167, 1, 3, 5, 13, 1, 57, 51, 81, 161,
    15, 7, 3695, 1777, 14947, 27853, 22383, 1, 1, 5, 5, 15, 21, 79, 159, 85,
    677, 401, 665, 3547, 13659, 18035, 38181, 1, 3, 3, 15, 11, 55, 29, 219, 45,
    683, 673, 2653, 6841, 7809, 8969, 17773, 1, 3, 5, 13, 25, 61, 19, 67, 469,
    265, 1835, 2733, 4537, 8113, 27089, 59191, 1, 1, 5, 11, 9, 37, 99, 31, 229,
    635, 1615, 3073, 2161, 13917, 22197, 4331, 1, 3, 1, 11, 13, 59, 119, 65, 55,
    113, 189, 57, 903, 11119, 3835, 30549, 1, 1, 1, 5, 23, 25, 29, 167, 199,
    669, 691, 3047, 7433, 15043, 22471, 39473, 1, 1, 5, 13, 13, 15, 121, 127, 343,
    293, 511, 1873, 4535, 6395, 10161, 52113, 1, 3, 1, 11, 13, 7, 95, 151, 187,
    221, 843, 2433, 5083, 15319, 5763, 46801, 1, 3, 5, 3, 3, 57, 109, 65, 203,
    583, 209, 2395, 5615, 14949, 10819, 5109, 1, 3, 7, 15, 23, 41, 65, 17, 351,
    89, 1451, 219, 5863, 15197, 22741, 16599, 1, 1, 3, 13, 23, 49, 51, 9, 365,
    595, 1619, 933, 2231, 15219, 105, 1657, 1, 3, 5, 7, 27, 33, 39, 243, 257,
    299, 479, 1999, 1781, 9267, 3631, 21449, 1, 3, 1, 3, 13, 1, 83, 9, 373,
    99, 1873, 3959, 1009, 31, 29329, 1489, 1, 1, 7, 3, 15, 21, 99, 25, 265,
    461, 467, 2475, 8149, 5685, 22679, 9787, 1, 1, 3, 1, 5, 43, 109, 55, 451,
    11, 1631, 999, 1181, 3377, 4807, 14675, 1, 3, 7, 11, 5, 43, 27, 253, 73,
    697, 81, 3739, 4267, 3801, 2913, 33117, 1, 3, 1, 5, 11, 55, 97, 3, 3,
    949, 155, 3575, 941, 3727, 4047, 26071, 1, 1, 5, 3, 17, 35, 3, 9, 185,
    1, 421, 2831, 957, 4505, 6421, 16279, 1, 1, 3, 9, 21, 43, 115, 183, 231,
    13, 1711, 3403, 5447, 2761, 27591, 431, 1, 3, 3, 15, 1, 25, 111, 157, 429,
    981, 1117, 2767, 3107, 2203, 15335, 62597, 1, 1, 1, 9, 5, 11, 59, 163, 37,
    101, 63, 2829, 5583, 12695, 21683, 62563, 1, 3, 3, 15, 7, 29, 39, 241, 333,
    321, 931, 3811, 1981, 229, 18877, 6597, 1, 3, 3, 13, 31, 3, 83, 21, 253,
    117, 757, 2335, 291, 3723, 24961, 41985, 1, 1, 1, 1, 23, 37, 71, 227, 211,
    671, 757, 597, 4015, 7297, 26275, 46051, 1, 3, 3, 11, 9, 15, 23, 143, 207,
    235, 1215, 1401, 7487, 13397, 30443, 43735, 1, 1, 7, 7, 23, 5, 57, 169, 3,
    609, 1077, 109, 6029, 14891, 6641, 26525, 1, 3, 7, 13, 7, 45, 99, 187, 43,
    751, 1189, 1787, 4903, 10605, 15799, 61769, 1, 3, 1, 5, 31, 51, 95, 127, 149,
    557, 1027, 3377, 1461, 15217, 16955, 27339, 1, 3, 5, 11, 31, 29, 11, 143, 47,
    709, 1413, 343, 5421, 3567, 5383, 62347, 1, 3, 3, 11, 13, 3, 33, 19, 79,
    751, 1979, 785, 6339, 4133, 31633, 1963, 1, 3, 3, 9, 15, 21, 117, 13, 105,
    519, 1575, 3041, 5465, 7167, 17443, 15781, 1, 1, 1, 7, 29, 25, 51, 237, 11,
    431, 1597, 751, 4115, 12345, 9451, 1417, 1, 3, 5, 13, 1, 43, 61, 141, 279,
    541, 149, 3783, 1503, 7597, 25469, 21143, 1, 1, 3, 13, 23, 13, 21, 53, 49,
    491, 135, 3079, 2593, 10611, 24467, 18627, 1, 3, 3, 5, 19, 31, 59, 139, 137,
    839, 799, 1081, 251, 2685, 15993, 15909, 1, 3, 5, 1, 3, 1, 33, 131, 259,
    137, 651, 3879, 3089, 6957, 24589, 8945, 1, 1, 3, 1, 23, 13, 127, 255, 325,
    451, 275, 1425, 3649, 8149, 28913, 16481, 1, 1, 5, 3, 19, 35, 55, 183, 383,
    419, 551, 961, 5413, 3779, 10935, 30523, 1, 1, 7, 3, 19, 35, 125, 165, 21,
    23, 1119, 4061, 8057, 5129, 6035, 29907, 1, 1, 1, 11, 31, 5, 9, 165, 189,
    117, 1371, 3171, 3723, 9051, 11071, 1669, 1, 1, 1, 7, 23, 37, 61, 241, 253,
    79, 241, 2629, 6791, 2305, 17085, 17163, 1, 1, 7, 11, 25, 49, 109, 139, 271,
    325, 1673, 1827, 319, 10729, 15739, 19971, 1, 3, 3, 9, 15, 3, 21, 153, 229,
    781, 2029, 3169, 2191, 7861, 26817, 44695, 1, 1, 1, 11, 9, 45, 93, 117, 361,
    319, 1747, 2379, 259, 15451, 2431, 29633, 1, 1, 3, 1, 21, 3, 87, 157, 389,
    373, 1235, 1347, 6573, 3447, 1569, 42287, 1, 3, 5, 1, 3, 35, 27, 49, 283,
    281, 733, 1557, 3589, 4047, 4589, 981, 1, 3, 5, 5, 11, 15, 69, 209, 319,
    601, 1559, 35, 185, 8659, 26943, 10885, 1, 3, 3, 15, 15, 25, 105, 241, 153,
    813, 481, 2269, 5677, 11121, 21781, 29427, 1, 1, 1, 13, 1, 41, 123, 235, 487,
    339, 1815, 241, 5673, 9319, 6031, 3785, 1, 1, 3, 9, 3, 15, 111, 207, 281,
    7, 1089, 709, 8001, 14277, 27351, 21503, 1, 3, 1, 11, 29, 11, 69, 111, 471,
    549, 1731, 115, 1067, 8417, 19377, 18729, 1, 1, 7, 1, 29, 11, 31, 251, 437,
    217, 1815, 1229, 5735, 11813, 20831, 27237, 1, 1, 3, 9, 25, 63, 115, 45, 71,
    359, 1313, 543, 1837, 5359, 13635, 47057, 1, 3, 1, 13, 5, 21, 73, 47, 13,
    553, 471, 465, 591, 1943, 12549, 20245, 1, 3, 5, 1, 5, 35, 1, 5, 403,
    797, 987, 1227, 2847, 931, 7417, 7551, 1, 3, 3, 11, 15, 13, 7, 201, 145,
    475, 1557, 2871, 3161, 3489, 7893, 1745, 1, 1, 1, 7, 15, 27, 9, 129, 83,
    31, 1351, 647, 6217, 15201, 21019, 39925, 1, 1, 7, 3, 19, 39, 99, 253, 491,
    455, 405, 131, 4755, 8395, 26647, 65287, 1, 3, 5, 13, 13, 13, 15, 49, 397,
    237, 1491, 1881, 4233, 15801, 25591, 47061, 1, 1, 1, 15, 11, 11, 11, 161, 225,
    257, 231, 3303, 5145, 5217, 21527, 50231, 1, 3, 1, 13, 21, 51, 11, 161, 55,
    945, 1835, 1493, 5069, 9443, 31181, 2157, 1, 3, 1, 15, 29, 45, 75, 141, 475,
    43, 219, 2689, 7579, 523, 27125, 48615, 1, 3, 7, 13, 5, 7, 125, 13, 73,
    231, 1397, 295, 3197, 4023, 2167, 42101, 1, 1, 5, 11, 5, 15, 99, 241, 1,
    49, 1635, 2467, 4939, 9411, 145, 62117, 1, 3, 7, 1, 3, 43, 91, 179, 379,
    997, 1839, 3463, 4967, 12773, 26273, 52999, 1, 1, 1, 5, 7, 45, 127, 213, 63,
    93, 1735, 623, 153, 7039, 4233, 49775, 1, 3, 1, 9, 19, 57, 27, 225, 225,
    361, 1349, 829, 1441, 3557, 7595, 48405, 1, 1, 7, 13, 27, 19, 119, 115, 15,
    929, 345, 2199, 8101, 5787, 3105, 58313, 1, 3, 3, 9, 23, 41, 81, 19, 445,
    11, 771, 3767, 6781, 6969, 28385, 8473, 1, 1, 1, 3, 1, 49, 5, 149, 383,
    567, 1663, 1277, 733, 7651, 4835, 56429, 1, 1, 7, 1, 29, 53, 33, 135, 491,
    957, 1215, 687, 1025, 607, 459, 58433, 1, 1, 1, 5, 17, 29, 67, 149, 93,
    169, 851, 2311, 4971, 13403, 15023, 31645, 1, 1, 7, 15, 25, 61, 127, 73, 379,
    279, 1407, 285, 5697, 11141, 28961, 35551, 1, 3, 1, 3, 17, 17, 123, 113, 349,
    203, 685, 687, 6957, 13033, 25147, 61541, 1, 3, 7, 3, 29, 47, 67, 161, 163,
    427, 241, 2767, 6855, 4975, 19081, 4613, 1, 1, 1, 3, 7, 51, 81, 57, 107,
    171, 1671, 2373, 341, 4071, 12877, 55775, 1, 1, 7, 15, 29, 63, 111, 255, 189,
    33, 1613, 113, 4347, 549, 9793, 52611, 1, 3, 3, 3, 17, 11, 41, 103, 509,
    387, 1341, 663, 611, 12977, 6435, 40351, 1, 1, 1, 5, 5, 39, 13, 229, 473,
    159, 585, 2905, 3467, 8331, 11539, 57525, 1, 3, 1, 7, 13, 25, 87, 115, 199,
    611, 635, 2653, 5559, 7959, 9545, 14829, 1, 1, 3, 7, 5, 57, 53, 155, 57,
    301, 263, 1597, 7805, 8327, 20457, 6761, 1, 3, 3, 5, 17, 39, 105, 177, 317,
    681, 679, 691, 7751, 959, 2989, 31533, 1, 1, 3, 1, 23, 15, 65, 223, 379,
    523, 1285, 3175, 1821, 15655, 25183, 9415, 1, 3, 3, 1, 11, 15, 49, 33, 243,
    755, 2027, 3115, 4665, 12511, 8653, 35519, 1, 3, 3, 7, 5, 45, 45, 183, 409,
    107, 1277, 2975, 2291, 13839, 18513, 62993, 1, 3, 5, 3, 21, 39, 47, 175, 197,
    737, 707, 2769, 171, 12341, 22361, 16647, 1, 3, 3, 1, 3, 35, 127, 23, 349,
    477, 1347, 1939, 1199, 14441, 9795, 48051, 1, 3, 1, 15, 23, 59, 69, 227, 429,
    359, 507, 3615, 2331, 5741, 23905, 977, 1, 3, 3, 1, 7, 5, 111, 17, 425,
    697, 1957, 1771, 3495, 14373, 8385, 59295, 1, 3, 3, 1, 1, 25, 113, 237, 393,
    23, 575, 1117, 665, 3803, 28291, 60053, 1, 1, 7, 7, 5, 33, 43, 121, 109,
    201, 877, 3203, 7967, 11671, 13397, 9063, 1, 1, 1, 9, 31, 57, 31, 75, 429,
    471, 683, 3593, 4277, 10315, 1913, 54527, 1, 1, 1, 3, 29, 17, 69, 75, 251,
    595, 1127, 3015, 5621, 389, 2245, 43007, 1, 1, 1, 5, 7, 41, 127, 57, 321,
    971, 1217, 3731, 4667, 5919, 29871, 60487, 1, 3, 3, 7, 21, 9, 83, 109, 489,
    689, 1601, 2979, 405, 3131, 19409, 20739, 1, 3, 7, 15, 31, 45, 77, 129, 269,
    473, 427, 2751, 6841, 5957, 25297, 2301, 1, 3, 7, 3, 27, 3, 107, 99, 37,
    421, 1853, 2683, 7305, 467, 32481, 1085, 1, 3, 7, 15, 25, 3, 79, 7, 47,
    299, 731, 1321, 1917, 4315, 17177, 26499, 1, 3, 7, 15, 5, 1, 19, 163, 335,
    13, 1855, 3805, 6707, 2133, 19671, 53653, 1, 1, 3, 7, 3, 5, 77, 69, 31,
    959, 1815, 669, 5965, 2925, 16285, 42043, 1, 3, 5, 15, 25, 5, 35, 175, 55,
    765, 597, 703, 3141, 9825, 29067, 32817, 1, 1, 3, 5, 1, 57, 119, 85, 167,
    299, 561, 1045, 4255, 14663, 27787, 38785, 1, 3, 5, 13, 5, 41, 97, 31, 55,
    773, 707, 1083, 359, 15955, 11203, 50129, 1, 3, 7, 5, 9, 35, 101, 231, 23,
    301, 683, 3075, 3221, 7763, 5585, 35205, 1, 3, 1, 13, 23, 29, 83, 227, 111,
    307, 837, 465, 5933, 5265, 4507, 8719, 1, 3, 3, 11, 21, 9, 49, 157, 271,
    809, 1467, 1337, 5893, 13681, 11261, 56709, 1, 3, 7, 1, 29, 33, 89, 39, 131,
    339, 359, 3087, 5167, 5659, 629, 53865, 1, 3, 1, 15, 11, 23, 59, 105, 201,
    17, 923, 613, 1665, 8931, 28457, 63933, 1, 1, 5, 13, 17, 33, 67, 73, 367,
    263, 1377, 393, 1561, 3409, 24453, 61637, 1, 1, 5, 1, 29, 9, 31, 51, 485,
    775, 741, 1427, 1857, 10243, 18101, 29795, 1, 1, 1, 5, 5, 39, 29, 137, 171,
    837, 347, 1271, 7365, 3783, 22731, 18131, 1, 1, 5, 11, 1, 45, 89, 175, 11,
    859, 355, 1033, 4767, 11495, 28761, 11335, 1, 1, 7, 1, 25, 7, 85, 229, 243,
    259, 383, 1163, 4833, 11283, 31573, 30891, 1, 3, 7, 5, 11, 41, 111, 87, 203,
    177, 1113, 415, 3613, 1327, 20103, 61295, 1, 3, 3, 9, 15, 53, 25, 245, 335,
    31, 1335, 3339, 2337, 5719, 3333, 51325, 1, 1, 5, 3, 5, 29, 117, 11, 239,
    135, 1501, 2707, 2775, 2135, 11477, 44363, 1, 1, 3, 1, 23, 33, 3, 219, 301,
    643, 1555, 1, 709, 11, 30649, 19729, 1, 1, 5, 7, 31, 9, 45, 185, 203,
    741, 1851, 981, 6437, 1559, 27245, 36797, 1, 1, 3, 7, 1, 41, 11, 141, 53,
    533, 927, 2733, 1049, 16191, 1241, 49695, 1, 3, 7, 1, 31, 21, 105, 181, 487,
    1009, 135, 3649, 6459, 3397, 1805, 29793, 1, 1, 3, 1, 1, 29, 65, 127, 461,
    297, 1151, 2403, 4875, 343, 24293, 47203, 1, 1, 7, 3, 9, 1, 23, 139, 337,
    591, 1557, 1993, 6927, 5791, 29199, 2991, 1, 1, 7, 9, 7, 1, 81, 129, 469,
    215, 695, 2691, 6165, 14741, 24339, 58681, 1, 3, 5, 13, 29, 59, 113, 143, 15,
    399, 1141, 975, 1285, 12773, 593, 15481, 1, 1, 3, 11, 19, 41, 85, 95, 479,
    311, 1721, 1089, 7199, 15683, 15909, 40911, 1, 1, 1, 3, 25, 55, 23, 195, 413,
    623, 411, 279, 3381, 15313, 19323, 22829, 1, 3, 5, 15, 13, 1, 55, 91, 493,
    967, 1571, 2887, 2791, 1331, 20565, 61267, 1, 3, 5, 1, 1, 17, 127, 253, 249,
    559, 739, 2921, 1315, 13699, 22501, 9699, 1, 3, 7, 13, 19, 53, 31, 103, 307,
    821, 661, 591, 5379, 6401, 10109, 7325, 1, 1, 1, 5, 15, 35, 59, 149, 443,
    413, 139, 1851, 3679, 10721, 31393, 37329, 1, 1, 3, 3, 15, 47, 43, 241, 323,
    357, 1567, 3183, 6869, 4615, 5617, 28691, 1, 3, 3, 1, 25, 11, 55, 55, 105,
    277, 1317, 3631, 5351, 12747, 1685, 61239, 1, 1, 7, 7, 31, 19, 87, 119, 409,
    817, 97, 3549, 3517, 13901, 11707, 9501, 1, 1, 7, 11, 13, 17, 55, 195, 457,
    223, 837, 453, 2953, 2269, 10149, 48941, 1, 3, 3, 13, 5, 31, 63, 117, 419,
    329, 1759, 1167, 7967, 8975, 11247, 37159, 1, 1, 7, 1, 17, 19, 41, 61, 349,
    299, 1449, 2329, 471, 5119, 29595, 43335, 1, 1, 1, 13, 13, 63, 99, 239, 239,
    903, 55, 1347, 969, 9409, 11603, 28553, 1, 3, 1, 7, 25, 59, 23, 241, 361,
    1005, 771, 923, 3315, 4201, 32695, 54151, 1, 3, 3, 5, 19, 1, 113, 103, 469,
    591, 319, 2297, 1033, 9273, 20529, 58301, 1, 3, 7, 11, 23, 1, 77, 161, 321,
    855, 1987, 3735, 4533, 12061, 19305, 31679, 1, 1, 3, 7, 27, 15, 73, 83, 113,
    455, 1855, 2677, 3243, 14961, 27147, 21865, 1, 3, 5, 11, 15, 33, 61, 87, 237,
    775, 1765, 2783, 3051, 3617, 32519, 43991, 1, 3, 5, 1, 9, 57, 21, 177, 499,
    605, 391, 381, 2027, 9221, 11213, 10365, 1, 1, 7, 5, 31, 29, 57, 159, 413,
    321, 245, 2007, 2817, 5173, 23227, 19885, 1, 1, 7, 7, 29, 43, 113, 173, 505,
    449, 409, 981, 2257, 13261, 85, 6477, 1, 1, 5, 13, 9, 51, 1, 127, 65,
    963, 1541, 1321, 7849, 6481, 1583, 14737, 1, 1, 3, 3, 1, 45, 11, 157, 375,
    439, 1673, 271, 3853, 8795, 23287, 45365, 1, 1, 3, 11, 17, 7, 43, 3, 3,
    1005, 523, 2553, 2457, 259, 20999, 23611, 1, 3, 3, 11, 17, 33, 97, 227, 19,
    19, 2039, 3181, 1393, 1427, 215, 49915, 1, 1, 5, 9, 19, 1, 83, 95, 7,
    571, 655, 1281, 3841, 3925, 24603, 38413, 1, 3, 1, 3, 19, 47, 43, 105, 431,
    921, 927, 3713, 8181, 4177, 9411, 1481, 1, 3, 1, 9, 3, 29, 11, 121, 505,
    629, 959, 523, 257, 3089, 15075, 14087, 1, 3, 5, 13, 9, 3, 5, 167, 7,
    705, 1737, 583, 2297, 13073, 27617, 22083, 1, 3, 3, 13, 9, 51, 33, 191, 263,
    961, 1019, 2771, 3487, 7471, 10939, 23831, 1, 1, 5, 5, 25, 19, 75, 115, 221,
    93, 1135, 257, 5597, 14715, 2385, 46659, 1, 1, 3, 5, 31, 13, 63, 231, 463,
    501, 1437, 1777, 6161, 9885, 10543, 26031, 1, 1, 5, 5, 5, 1, 51, 141, 311,
    929, 261, 2959, 59, 4163, 9855, 54825, 1, 3, 1, 9, 1, 57, 31, 21, 395,
    211, 89, 3703, 7565, 2095, 16273, 52105, 1, 1, 3, 11, 25, 57, 27, 163, 459,
    849, 955, 2437, 7115, 8029, 165, 12007, 1, 1, 3, 7, 29, 57, 49, 71, 389,
    483, 991, 629, 1517, 2481, 4881, 39431, 1, 3, 5, 1, 1, 11, 29, 81, 323,
    581, 1515, 905, 2813, 12221, 20181, 9855, 1, 3, 1, 5, 27, 3, 41, 65, 369,
    925, 1449, 2711, 3333, 6263, 10639, 43537, 1, 1, 1, 15, 17, 5, 31, 181, 77,
    999, 1011, 2631, 1761, 10139, 24369, 39093, 1, 3, 3, 11, 11, 23, 65, 165, 41,
    591, 1045, 263, 1707, 4419, 24005, 47489, 1, 1, 7, 13, 11, 43, 65, 161, 229,
    35, 637, 3693, 721, 6863, 12001, 48067, 1, 3, 3, 15, 9, 39, 27, 65, 407,
    103, 1437, 3403, 7355, 2009, 5979, 37959, 1, 1, 5, 5, 13, 23, 65, 145, 395,
    603, 1711, 1529, 6309, 14631, 4615, 24459, 1, 3, 7, 13, 25, 27, 109, 91, 205,
    53, 199, 1215, 4371, 4821, 11793, 20719, 1, 1, 5, 5, 9, 9, 115, 77, 223,
    381, 1035, 1961, 5285, 12465, 20531, 51677, 1, 3, 3, 9, 13, 31, 123, 123, 325,
    719, 1683, 1253, 4241, 1443, 7507, 8253, 1, 3, 3, 7, 5, 1, 71, 145, 299,
    1021, 677, 1733, 2791, 12337, 24395, 64145, 1, 1, 7, 11, 21, 31, 113, 79, 1,
    29, 1171, 4081, 7599, 11661, 4305, 11383, 1, 3, 3, 7, 27, 9, 97, 117, 205,
    391, 1571, 1801, 6085, 15867, 8987, 29925, 1, 3, 3, 3, 5, 35, 27, 143, 503,
    533, 1293, 3737, 3011, 4457, 18381, 45513, 1, 3, 1, 1, 21, 55, 113, 127, 365,
    265, 1211, 841, 807, 3901, 28993, 28467, 1, 1, 1, 7, 21, 17, 101, 217, 413,
    273, 53, 2415, 655, 9939, 11233, 31631, 1, 3, 7, 13, 11, 11, 111, 63, 301,
    343, 1757, 2615, 1683, 11143, 16405, 16671, 1, 1, 5, 15, 17, 19, 83, 195, 475,
    189, 1881, 699, 4853, 7849, 15063, 5517, 1, 1, 5, 5, 27, 25, 19, 239, 153,
    725, 709, 3717, 4801, 1433, 17789, 34549, 1, 3, 1, 9, 9, 5, 47, 215, 123,
    161, 583, 917, 5373, 6839, 20747, 47179, 1, 1, 1, 15, 1, 25, 31, 217, 185,
    331, 261, 3877, 2339, 11557, 22779, 58509, 1, 1, 7, 15, 11, 1, 13, 53, 319,
    237, 763, 2411, 7953, 2117, 24947, 26643, 1, 3, 5, 5, 17, 53, 9, 253, 219,
    715, 1923, 823, 1495, 1975, 3739, 61343, 1, 1, 1, 11, 27, 31, 121, 253, 319,
    1001, 125, 567, 215, 6879, 22581, 38495, 1, 1, 1, 11, 23, 17, 83, 65, 279,
    725, 1611, 3911, 509, 1729, 30025, 10791, 1, 3, 1, 11, 19, 17, 67, 101, 129,
    607, 557, 3475, 1445, 8789, 1815, 18171, 1, 3, 7, 7, 23, 57, 69, 127, 147,
    743, 549, 3269, 6193, 12667, 17081, 6899, 1, 3, 1, 9, 9, 29, 83, 175, 389,
    289, 367, 1259, 6631, 15675, 20975, 54067, 1, 1, 7, 1, 27, 11, 31, 209, 159,
    615, 1813, 3235, 7487, 7103, 5857, 19435, 1, 3, 7, 7, 17, 3, 13, 255, 405,
    925, 55, 3539, 3351, 359, 7633, 38209, 1, 3, 5, 5, 5, 51, 123, 61, 485,
    785, 1975, 121, 7841, 7253, 11769, 7389, 1, 1, 1, 9, 1, 3, 51, 169, 163,
    875, 35, 1573, 7931, 13611, 14697, 64843, 1, 1, 5, 13, 11, 35, 47, 135, 475,
    893, 39, 2763, 2671, 7417, 22905, 60593, 1, 3, 5, 3, 27, 27, 85, 219, 341,
    509, 1131, 3607, 1307, 15265, 28589, 61113, 1, 1, 5, 11, 11, 37, 53, 67, 177,
    951, 237, 3865, 2233, 1405, 28373, 47767, 1, 3, 7, 9, 17, 49, 35, 167, 67,
    397, 927, 3305, 2791, 3609, 3111, 4555, 1, 1, 5, 13, 13, 41, 123, 89, 65,
    931, 1959, 1751, 2765, 8361, 23653, 45677, 1, 1, 1, 3, 25, 37, 91, 225, 181,
    275, 1515, 1355, 7971, 16081, 13715, 63963, 1, 3, 3, 3, 7, 11, 125, 181, 127,
    855, 1277, 3587, 1351, 4907, 16985, 357, 1, 3, 5, 13, 13, 57, 23, 99, 115,
    923, 1395, 3083, 3939, 475, 12385, 30113, 1, 3, 1, 1, 1, 19, 27, 73, 91,
    155, 1145, 467, 5655, 341, 8875, 61583, 1, 3, 1, 1, 17, 33, 113, 219, 99,
    817, 1731, 3379, 5729, 13615, 19047, 14143, 1, 1, 3, 5, 29, 7, 35, 111, 405,
    207, 1811, 3701, 6101, 7147, 13825, 52081, 1, 1, 7, 9, 19, 23, 89, 95, 503,
    311, 1615, 371, 5853, 4635, 31911, 65345, 1, 1, 7, 5, 17, 41, 49, 143, 445,
    855, 1311, 3961, 3559, 5483, 31609, 34147, 1, 3, 1, 15, 19, 49, 67, 141, 293,
    757, 1905, 2513, 4405, 41, 1191, 15259, 1, 1, 3, 11, 11, 39, 113, 73, 23,
    117, 1315, 725, 7429, 5483, 26213, 9331, 1, 1, 3, 3, 3, 9, 119, 35, 309,
    515, 751, 323, 2521, 12093, 1123, 43651, 1, 1, 3, 3, 29, 43, 49, 53, 481,
    269, 915, 1845, 3341, 511, 23845, 34623, 1, 1, 3, 1, 23, 23, 71, 225, 269,
    713, 21, 1051, 7635, 14245, 3947, 41757, 1, 3, 5, 11, 5, 19, 39, 99, 309,
    531, 1645, 787, 6913, 8159, 1359, 61973, 1, 1, 5, 5, 5, 61, 107, 91, 197,
    109, 369, 1053, 1995, 11551, 4751, 4981, 1, 3, 5, 11, 29, 31, 103, 21, 393,
    63, 1465, 2813, 995, 67, 11997, 34887, 1, 3, 1, 7, 9, 49, 111, 135, 83,
    79, 353, 2703, 5027, 10287, 3753, 60785, 1, 1, 7, 15, 17, 17, 51, 69, 465,
    25, 1231, 995, 4643, 3405, 2237, 54357, 1, 1, 1, 1, 5, 39, 31, 187, 459,
    197, 905, 279, 2279, 6585, 7073, 1897, 1, 3, 3, 15, 13, 17, 105, 29, 183,
    193, 541, 977, 2247, 5173, 10511, 59969, 1, 1, 1, 15, 3, 11, 89, 1, 411,
    503, 267, 2875, 2585, 9391, 19395, 30107, 1, 1, 7, 9, 7, 19, 45, 251, 143,
    729, 1825, 2571, 6277, 12759, 5057, 58455, 1, 3, 3, 9, 7, 49, 119, 3, 127,
    1015, 937, 2585, 1229, 16289, 30087, 45069, 1, 3, 5, 13, 15, 39, 39, 13, 315,
    533, 143, 2107, 805, 1487, 8049, 3643, 1, 3, 1, 15, 23, 35, 127, 143, 247,
    491, 837, 2263, 1375, 8283, 24527, 37967, 1, 3, 7, 11, 13, 9, 51, 171, 421,
    161, 1777, 3679, 4821, 10113, 28459, 55339, 1, 3, 3, 1, 25, 61, 53, 145, 81,
    509, 2001, 315, 7775, 7741, 9239, 10041, 1, 1, 3, 3, 11, 31, 21, 91, 425,
    415, 523, 3649, 6595, 9409, 26631, 8761, 1, 3, 7, 7, 13, 1, 51, 53, 123,
    125, 1055, 3951, 6621, 9207, 25991, 36435, 1, 3, 5, 3, 21, 63, 57, 35, 197,
    601, 665, 3223, 817, 3467, 2667, 2811, 1, 3, 1, 11, 7, 29, 51, 29, 383,
    969, 557, 795, 7535, 513, 1329, 57567, 1, 1, 1, 13, 11, 59, 85, 183, 163,
    445, 1595, 133, 4277, 3323, 6833, 50359, 1, 3, 1, 13, 9, 11, 65, 209, 509,
    65, 1299, 2225, 7727, 3851, 17661, 39777, 1, 1, 5, 5, 13, 31, 15, 189, 43,
    435, 707, 83, 6713, 13721, 24013, 47037, 1, 1, 1, 9, 29, 49, 101, 205, 7,
    539, 1809, 4095, 7581, 8187, 16475, 10923, 1, 3, 3, 7, 27, 39, 65, 117, 183,
    439, 997, 1389, 2945, 13303, 10621, 63085, 1, 1, 3, 15, 11, 21, 121, 179, 37,
    993, 1299, 2741, 5797, 10677, 32519, 45061, 1, 1, 7, 1, 23, 47, 107, 131, 145,
    679, 1519, 1147, 887, 2017, 31191, 4047, 1, 1, 3, 11, 1, 51, 1, 105, 245,
    269, 1067, 3551, 6323, 3729, 16351, 62965, 1, 1, 3, 3, 17, 11, 53, 163, 387,
    601, 75, 3219, 5683, 783, 28143, 20695, 1, 1, 5, 15, 21, 21, 33, 171, 73,
    157, 49, 3443, 4057, 8631, 17555, 8959, 1, 1, 5, 9, 3, 35, 13, 211, 181,
    425, 1367, 2217, 5949, 2741, 8141, 45769, 1, 3, 1, 11, 27, 43, 117, 3, 331,
    553, 1847, 2085, 7125, 10827, 10583, 60169, 1, 1, 3, 1, 15, 35, 81, 15, 259,
    89, 1071, 3807, 3149, 3309, 17791, 63869, 1, 3, 3, 5, 19, 7, 113, 131, 399,
    691, 57, 1837, 3613, 1755, 521, 64867, 1, 3, 1, 11, 25, 53, 11, 241, 187,
    237, 1591, 4059, 6021, 8451, 14305, 30965, 1, 1, 7, 11, 27, 15, 9, 209, 43,
    137, 1351, 2553, 2841, 6375, 20291, 2523, 1, 3, 3, 5, 27, 37, 83, 61, 365,
    739, 69, 725, 6745, 7353, 2621, 57747, 1, 1, 1, 1, 17, 9, 53, 93, 103,
    467, 1543, 2353, 4901, 13269, 21635, 63425, 1, 3, 1, 9, 15, 19, 61, 127, 423,
    749, 809, 515, 7819, 1209, 22879, 54069, 1, 1, 3, 7, 11, 23, 93, 5, 91,
    613, 1529, 2621, 2689, 2251, 16049, 60773, 1, 1, 5, 5, 15, 27, 57, 177, 477,
    585, 249, 3673, 2651, 10137, 30395, 57475, 1, 3, 1, 5, 31, 39, 25, 185, 233,
    915, 1335, 2889, 1135, 12515, 27385, 54785, 1, 3, 5, 15, 3, 19, 13, 105, 465,
    11, 799, 1699, 6495, 14307, 18071, 55405, 1, 1, 1, 15, 31, 49, 27, 209, 503,
    979, 877, 3121, 3545, 12875, 799, 44427, 1, 1, 5, 3, 23, 17, 113, 109, 301,
    587, 1865, 1623, 453, 14449, 26901, 34687, 1, 3, 7, 11, 1, 29, 25, 113, 147,
    53, 27, 2971, 5663, 12013, 1281, 65173, 1, 3, 1, 11, 13, 47, 13, 209, 339,
    393, 1389, 2205, 537, 10911, 20093, 61499, 1, 1, 7, 9, 21, 45, 75, 43, 425,
    89, 1319, 2245, 6519, 12819, 30653, 18927, 1, 1, 3, 11, 1, 31, 55, 29, 337,
    733, 1303, 1721, 7163, 13807, 5865, 20009, 1, 1, 3, 15, 1, 5, 101, 211, 263,
    865, 59, 2473, 3857, 9909, 21353, 8807, 1, 1, 3, 9, 25, 29, 5, 157, 17,
    985, 369, 1903, 2431, 15395, 20245, 51253, 1, 3, 3, 11, 7, 31, 45, 209, 287,
    13, 591, 3907, 7501, 10003, 21815, 43213, 1, 3, 7, 5, 27, 25, 73, 191, 361,
    731, 757, 1907, 9, 16357, 4241, 40187, 1, 1, 7, 1, 5, 55, 121, 89, 39,
    531, 493, 3453, 5709, 8215, 21831, 5661, 1, 3, 7, 11, 27, 59, 49, 251, 17,
    223, 875, 1133, 3161, 10273, 26463, 45987, 1, 3, 5, 9, 17, 39, 117, 153, 243,
    449, 1261, 3917, 1359, 4525, 22119, 1781, 1, 1, 3, 7, 15, 15, 19, 151, 411,
    693, 445, 2525, 2867, 12809, 1487, 7019, 1, 1, 7, 7, 15, 57, 61, 243, 427,
    529, 1051, 3391, 6259, 8791, 3405, 54757, 1, 3, 1, 5, 13, 41, 105, 73, 485,
    881, 1943, 1419, 5761, 11807, 16497, 12763, 1, 3, 3, 15, 7, 47, 61, 99, 473,
    487, 1973, 1675, 3163, 4033, 5323, 31313, 1, 1, 1, 3, 21, 33, 23, 129, 469,
    743, 769, 1561, 235, 13713, 6827, 61273, 1, 3, 1, 13, 11, 19, 59, 37, 431,
    5, 1333, 2381, 5707, 2499, 9339, 35803, 1, 1, 5, 1, 17, 11, 77, 137, 111,
    567, 1469, 543, 5633, 1927, 26491, 37955, 1, 3, 5, 15, 21, 9, 57, 35, 291,
    371, 65, 2891, 841, 11859, 16685, 5641, 1, 3, 7, 1, 3, 35, 121, 153, 353,
    633, 995, 121, 7317, 273, 23329, 32591, 1, 3, 5, 1, 25, 19, 35, 221, 295,
    543, 1269, 3901, 2109, 4463, 4275, 89, 1, 3, 7, 13, 1, 13, 85, 97, 155,
    731, 1017, 3713, 1613, 805, 8927, 32165, 1, 3, 3, 13, 17, 1, 21, 235, 103,
    875, 1849, 2669, 3193, 9053, 16123, 29481, 1, 3, 7, 9, 23, 21, 37, 251, 441,
    437, 629, 1009, 5663, 14447, 23437, 32521, 1, 1, 7, 5, 9, 5, 7, 123, 483,
    433, 867, 149, 1975, 5497, 7887, 25779, 1, 3, 3, 3, 31, 17, 81, 167, 399,
    1, 1777, 833, 8035, 8597, 28371, 19293, 1, 3, 3, 11, 9, 45, 125, 121, 147,
    613, 599, 111, 7583, 3189, 13185, 35603, 1, 1, 1, 15, 31, 51, 9, 191, 55,
    837, 1773, 2781, 6351, 1909, 5407, 7533, 1, 1, 3, 13, 13, 35, 71, 25, 465,
    377, 613, 2487, 6297, 8299, 27541, 17779, 1, 1, 3, 15, 21, 59, 43, 115, 369,
    315, 315, 3451, 5785, 6353, 22609, 42793, 1, 1, 5, 15, 13, 3, 127, 87, 211,
    981, 629, 2683, 5683, 15475, 20431, 32977, 1, 1, 3, 7, 31, 3, 23, 7, 117,
    1001, 431, 2215, 5817, 16283, 12781, 63883, 1, 1, 3, 1, 27, 11, 43, 195, 329,
    375, 655, 3815, 5699, 11259, 6733, 26015, 1, 3, 3, 11, 19, 3, 63, 187, 47,
    891, 1463, 3259, 1479, 15109, 25387, 43753, 1, 1, 5, 11, 31, 43, 59, 149, 205,
    447, 1787, 627, 6227, 9951, 19069, 50193, 1, 3, 3, 7, 7, 1, 41, 33, 395,
    139, 689, 1597, 529, 6861, 2025, 19569, 1, 1, 1, 7, 17, 63, 17, 73, 459,
    1007, 1563, 879, 1441, 525, 32679, 56409, 1, 3, 3, 13, 3, 5, 23, 239, 7,
    807, 1999, 1427, 6647, 2249, 17687, 5519, 1, 3, 5, 1, 7, 15, 7, 243, 347,
    415, 1519, 2267, 3119, 3145, 27799, 24453, 1, 3, 3, 3, 5, 1, 93, 215, 475,
    209, 361, 951, 147, 1401, 6851, 59257, 1, 1, 7, 3, 29, 39, 67, 195, 287,
    587, 315, 1747, 7169, 11967, 4893, 797, 1, 3, 5, 5, 13, 49, 47, 97, 105,
    203, 1237, 805, 3595, 9225, 23105, 52679, 1, 1, 5, 1, 23, 41, 39, 85, 7,
    237, 1545, 2591, 1771, 2291, 20185, 46995, 1, 1, 1, 3, 15, 5, 43, 211, 109,
    599, 77, 703, 5749, 15909, 12619, 41635, 1, 3, 1, 9, 19, 9, 49, 211, 149,
    883, 1617, 497, 7689, 4253, 18737, 25293, 1, 1, 7, 11, 25, 3, 57, 83, 181,
    801, 1515, 3821, 5287, 15243, 2347, 42333, 1, 3, 7, 15, 15, 25, 107, 79, 249,
    721, 1237, 1587, 3469, 10319, 6421, 59103, 1, 1, 3, 3, 17, 21, 81, 35, 173,
    101, 1879, 3301, 4409, 8563, 27981, 64269, 1, 1, 7, 3, 29, 17, 103, 17, 443,
    821, 1133, 73, 2587, 16119, 17385, 2293, 1, 3, 7, 13, 9, 3, 41, 125, 149,
    403, 537, 695, 3885, 15769, 11315, 53979, 1, 3, 5, 7, 11, 47, 57, 105, 433,
    1009, 1749, 2453, 2083, 1543, 25941, 58037, 1, 1, 1, 3, 19, 63, 45, 251, 265,
    591, 1235, 1349, 6069, 14139, 4299, 32719, 1, 3, 5, 9, 1, 49, 125, 217, 247,
    915, 1289, 3589, 7, 5285, 32443, 56439, 1, 3, 5, 3, 31, 31, 67, 55, 203,
    487, 983, 1841, 1587, 14881, 29187, 59293, 1, 1, 1, 13, 1, 59, 121, 57, 99,
    857, 1085, 3505, 3615, 13725, 10363, 16841, 1, 1, 5, 3, 19, 55, 43, 95, 141,
    217, 1087, 1129, 3417, 515, 23815, 13135, 1, 1, 1, 15, 9, 63, 5, 139, 327,
    743, 1321, 4055, 4337, 15115, 8635, 53571, 1, 1, 5, 11, 31, 47, 105, 91, 493,
    77, 1767, 1647, 4287, 5455, 1875, 6669, 1, 3, 1, 1, 25, 47, 19, 243, 131,
    387, 69, 2057, 7151, 8497, 10975, 64383, 1, 3, 3, 1, 13, 19, 93, 35, 63,
    881, 1787, 331, 57, 12875, 5689, 56411, 1, 3, 5, 1, 1, 33, 39, 193, 17,
    291, 1507, 1719, 3507, 12683, 16467, 21453, 1, 1, 7, 7, 15, 41, 113, 23, 499,
    641, 937, 2505, 4093, 4897, 2493, 28043, 1, 3, 1, 15, 13, 11, 59, 175, 299,
    233, 189, 675, 2623, 15695, 2895, 29213, 1, 1, 3, 3, 25, 33, 113, 81, 485,
    615, 1451, 1331, 607, 13451, 5853, 5051, 1, 1, 7, 15, 13, 55, 107, 43, 343,
    383, 63, 2761, 5543, 10249, 2903, 28567, 1, 1, 7, 13, 7, 23, 13, 199, 109,
    87, 389, 561, 2403, 12411, 18247, 40239, 1, 1, 1, 13, 21, 31, 3, 109, 97,
    803, 991, 847, 6517, 3389, 15347, 18295, 1, 1, 1, 1, 27, 41, 115, 59, 189,
    105, 63, 3169, 2293, 6051, 26017, 49947, 1, 3, 5, 13, 19, 27, 47, 13, 9,
    135, 637, 2167, 2865, 13353, 1725, 41671, 1, 1, 5, 7, 17, 61, 37, 247, 447,
    633, 1761, 2075, 6385, 12393, 31483, 1857, 1, 3, 5, 13, 17, 17, 103, 47, 391,
    725, 1379, 3939, 6467, 6723, 4229, 50221, 1, 1, 5, 5, 1, 61, 13, 157, 379,
    935, 105, 419, 147, 6369, 15413, 38553, 1, 1, 5, 1, 13, 49, 63, 165, 207,
    741, 1285, 3247, 4053, 1647, 6571, 61075, 1, 1, 5, 15, 29, 41, 51, 5, 123,
    45, 537, 2887, 1329, 9447, 22285, 45247, 1, 3, 1, 3, 29, 51, 65, 91, 153,
    673, 1759, 401, 2969, 6631, 16965, 49027, 1, 3, 3, 15, 29, 61, 31, 85, 13,
    427, 1833, 2145, 4229, 14543, 22741, 24913, 1, 3, 5, 3, 21, 9, 45, 253, 89,
    397, 965, 685, 4013, 11731, 2947, 11995, 1, 3, 3, 11, 27, 45, 101, 151, 21,
    563, 203, 445, 6863, 2151, 4999, 8839, 1, 3, 5, 9, 25, 57, 15, 29, 3,
    127, 871, 1851, 7825, 1593, 11143, 24507, 1, 1, 1, 7, 17, 27, 49, 159, 425,
    773, 1841, 1693, 7829, 2905, 16347, 5581, 1, 3, 5, 7, 13, 29, 81, 77, 349,
    747, 119, 1195, 5, 8481, 1543, 50033, 1, 1, 7, 15, 1, 25, 33, 13, 9,
    565, 555, 699, 4691, 1749, 9531, 30133, 1, 1, 5, 5, 13, 43, 17, 31, 199,
    381, 393, 3511, 6331, 10377, 31467, 25305, 1, 3, 3, 13, 1, 49, 23, 241, 499,
    791, 1851, 321, 6057, 2141, 8825, 1829, 1, 1, 1, 1, 13, 23, 77, 103, 123,
    247, 1655, 1403, 6059, 14505, 1579, 48169, 1, 1, 7, 13, 9, 23, 125, 15, 479,
    447, 327, 3743, 1199, 5015, 19009, 50929, 1, 1, 7, 5, 5, 55, 39, 131, 229,
    607, 1591, 769, 2899, 9681, 11789, 62135, 1, 3, 3, 13, 17, 59, 65, 117, 299,
    85, 1187, 3249, 295, 15603, 28909, 60317, 1, 1, 5, 13, 13, 31, 7, 5, 65,
    785, 985, 1637, 3015, 14261, 15089, 37337, 1, 3, 3, 3, 17, 49, 123, 151, 41,
    419, 391, 1265, 6225, 2037, 8409, 13437, 1, 1, 5, 13, 1, 23, 111, 21, 381,
    343, 519, 1071, 3889, 14897, 9611, 10657, 1, 3, 5, 13, 25, 15, 79, 215, 99,
    783, 107, 3845, 443, 1115, 24657, 54263, 1, 3, 3, 7, 7, 29, 15, 213, 165,
    911, 351, 4025, 7657, 2079, 21525, 60751, 1, 1, 3, 3, 15, 19, 107, 181, 177,
    279, 803, 2825, 4609, 9955, 7725, 44161, 1, 1, 3, 7, 21, 9, 69, 107, 43,
    239, 397, 2567, 1375, 12483, 19783, 27889, 1, 3, 7, 5, 7, 39, 39, 71, 397,
    829, 373, 1869, 6229, 2299, 19737, 58479, 1, 1, 3, 7, 13, 53, 39, 41, 105,
    547, 1687, 153, 4067, 16317, 15, 52949, 1, 3, 7, 11, 9, 19, 97, 45, 225,
    977, 545, 3691, 5315, 6239, 26833, 28115, 1, 3, 7, 3, 23, 11, 17, 13, 437,
    145, 1153, 1193, 835, 5095, 5535, 17033, 1, 3, 1, 3, 7, 13, 17, 197, 289,
    875, 97, 1721, 2369, 8351, 10813, 10129, 1, 3, 7, 13, 7, 59, 11, 37, 77,
    541, 837, 2943, 423, 6093, 32495, 59203, 1, 1, 5, 9, 13, 17, 117, 239, 499,
    819, 1585, 1755, 219, 4681, 10771, 14713, 1, 3, 1, 9, 15, 21, 3, 123, 303,
    223, 1579, 1959, 7767, 6079, 2085, 7683, 1, 1, 7, 15, 13, 37, 35, 37, 479,
    341, 1315, 3339, 3059, 251, 31629, 32757, 1, 1, 5, 11, 19, 23, 55, 109, 443,
    77, 577, 1963, 3769, 1783, 5059, 35905, 1, 1, 5, 15, 17, 45, 53, 139, 261,
    147, 1117, 2255, 1389, 6505, 21785, 52763, 1, 1, 7, 15, 21, 61, 97, 147, 397,
    231, 775, 3297, 4883, 7059, 16769, 22765, 1, 3, 7, 13, 13, 29, 67, 117, 381,
    505, 1437, 939, 4551, 8767, 7355, 10507, 1, 3, 3, 7, 5, 57, 115, 205, 159,
    587, 169, 3787, 1271, 9583, 12205, 63993, 1, 3, 3, 13, 9, 59, 51, 165, 159,
    391, 421, 2179, 2943, 505, 19315, 16175, 1, 3, 5, 13, 21, 53, 95, 131, 275,
    421, 435, 2655, 4999, 14225, 26417, 57465, 1, 1, 1, 5, 29, 39, 115, 183, 507,
    849, 1935, 2849, 6301, 11937, 19519, 37019, 1, 1, 5, 1, 13, 15, 37, 25, 113,
    885, 1265, 2287, 4535, 12265, 10433, 56641, 1, 3, 1, 9, 29, 11, 67, 19, 11,
    347, 1659, 3251, 3179, 2583, 10127, 21549, 1, 3, 7, 7, 13, 27, 101, 101, 197,
    381, 987, 1699, 2913, 5179, 3423, 30389, 1, 1, 7, 13, 29, 39, 87, 65, 265,
    891, 973, 1487, 6687, 7875, 13389, 39141, 1, 1, 1, 3, 7, 13, 101, 223, 181,
    143, 1291, 2803, 251, 12541, 20713, 18137, 1, 1, 1, 15, 3, 9, 103, 137, 121,
    563, 1079, 3119, 5619, 2175, 27223, 25289, 1, 3, 3, 15, 7, 13, 109, 201, 385,
    347, 319, 883, 13, 3683, 19615, 9781, 1, 1, 1, 5, 13, 15, 127, 161, 353,
    567, 555, 2287, 1791, 9535, 26227, 15335, 1, 1, 5, 9, 3, 63, 11, 83, 235,
    741, 977, 2265, 449, 10293, 20451, 25143, 1, 1, 3, 3, 23, 25, 119, 1, 381,
    463, 67, 257, 7087, 10553, 10781, 60003, 1, 3, 7, 15, 17, 11, 81, 17, 363,
    163, 1765, 285, 4239, 14777, 15081, 54151, 1, 3, 3, 13, 17, 9, 73, 237, 273,
    439, 1419, 1539, 667, 13833, 31783, 49459, 1, 1, 3, 3, 15, 11, 85, 3, 481,
    169, 1443, 3403, 1157, 595, 6851, 59343, 1, 3, 7, 1, 23, 21, 13, 251, 403,
    859, 175, 1373, 3711, 1233, 16879, 4659, 1, 1, 5, 7, 21, 7, 15, 165, 265,
    117, 385, 2661, 1481, 1709, 19843, 29639, 1, 1, 1, 11, 3, 7, 81, 3, 429,
    997, 1759, 285, 375, 3487, 5257, 14203, 1, 3, 7, 1, 15, 17, 93, 69, 303,
    809, 929, 3025, 6333, 4525, 6441, 32265, 1, 3, 1, 5, 27, 41, 119, 25, 461,
    347, 369, 489, 377, 3899, 12711, 24475, 1, 3, 7, 5, 29, 59, 101, 159, 305,
    337, 1371, 891, 6013, 2987, 27201, 61055, 1, 1, 1, 3, 19, 5, 3, 219, 71,
    213, 137, 1925, 2365, 583, 11591, 9495, 1, 3, 7, 3, 31, 31, 85, 115, 169,
    499, 1669, 499, 1987, 2505, 435, 6377, 1, 1, 3, 5, 3, 33, 33, 41, 199,
    187, 1023, 771, 3447, 4355, 29353, 42293, 1, 1, 5, 7, 1, 41, 17, 231, 305,
    975, 975, 1697, 7267, 9567, 9975, 51313, 1, 3, 5, 3, 9, 41, 27, 29, 285,
    469, 1845, 665, 3007, 4199, 3367, 50849, 1, 1, 5, 9, 29, 5, 93, 63, 227,
    751, 1591, 649, 6219, 13371, 3473, 34033, 1, 3, 3, 1, 13, 5, 27, 239, 89,
    893, 1869, 3789, 7569, 525, 32019, 17501, 1, 1, 5, 11, 9, 5, 51, 149, 351,
    81, 1895, 3011, 2521, 4185, 1277, 65397, 1, 3, 5, 3, 21, 13, 121, 213, 67,
    825, 1493, 2933, 6189, 14135, 7021, 47435, 1, 3, 7, 15, 11, 51, 63, 163, 371,
    363, 1885, 1535, 629, 2939, 12547, 24779, 1, 3, 7, 3, 3, 3, 49, 47, 409,
    963, 1499, 1107, 8063, 11137, 21251, 4695, 1, 1, 3, 1, 31, 17, 61, 149, 263,
    503, 219, 3419, 4525, 14689, 30841, 60799, 1, 3, 3, 5, 31, 25, 5, 247, 219,
    79, 1605, 3523, 4815, 12907, 22017, 16145, 1, 1, 7, 11, 21, 51, 47, 85, 37,
    461, 1299, 2007, 2093, 10707, 17997, 4221, 1, 3, 3, 11, 11, 59, 63, 191, 359,
    859, 1265, 853, 6733, 4605, 27559, 32557, 1, 3, 7, 11, 29, 61, 119, 73, 73,
    259, 1939, 59, 5177, 12375, 22143, 28073, 1, 3, 7, 7, 21, 29, 19, 33, 59,
    539, 281, 2989, 2239, 6671, 31629, 16065, 1, 3, 5, 7, 17, 27, 39, 57, 483,
    463, 51, 3771, 5641, 5875, 2369, 21619, 1, 3, 1, 1, 15, 9, 121, 217, 107,
    615, 1413, 2083, 231, 9177, 12275, 20069, 1, 3, 5, 15, 17, 55, 85, 27, 477,
    687, 1295, 3471, 6951, 2645, 30051, 36149, 1, 3, 3, 1, 1, 27, 9, 183, 39,
    559, 1639, 5, 1177, 16011, 1447, 42897, 1, 1, 1, 5, 21, 9, 75, 217, 311,
    679, 1913, 2623, 3853, 10889, 22501, 40089, 1, 3, 5, 7, 17, 59, 23, 199, 147,
    339, 1027, 1471, 6539, 7963, 30713, 1939, 1, 1, 3, 11, 23, 51, 111, 175, 433,
    803, 1577, 4091, 2197, 10003, 2597, 53553, 1, 3, 5, 1, 3, 11, 125, 11, 281,
    969, 1943, 1003, 2189, 3551, 25831, 64261, 1, 3, 7, 1, 17, 19, 111, 235, 511,
    723, 1779, 1041, 4067, 3827, 17285, 63075, 1, 1, 3, 15, 3, 63, 7, 165, 153,
    829, 221, 1485, 4319, 9865, 937, 65171, 1, 1, 7, 1, 21, 21, 89, 233, 417,
    15, 367, 311, 3575, 11285, 5245, 3947, 1, 3, 7, 9, 27, 55, 3, 71, 227,
    397, 561, 4075, 5495, 16071, 11495, 48733, 1, 3, 3, 3, 3, 39, 57, 219, 237,
    151, 1305, 2485, 5045, 5065, 21041, 20055, 1, 1, 3, 11, 15, 33, 75, 241, 335,
    207, 1695, 119, 839, 12449, 28467, 7445, 1, 1, 7, 3, 21, 3, 43, 137, 321,
    763, 575, 2317, 8073, 1225, 8257, 11639, 1, 3, 5, 11, 27, 21, 17, 115, 265,
    1023, 1403, 853, 757, 1799, 25505, 49207, 1, 1, 7, 5, 9, 45, 57, 77, 127,
    447, 1097, 1729, 2361, 1599, 15727, 49413, 1, 1, 1, 15, 21, 41, 13, 41, 183,
    151, 441, 3077, 4205, 125, 23767, 44667, 1, 3, 3, 9, 3, 37, 5, 203, 39,
    49, 1793, 3523, 7541, 23, 22527, 35999, 1, 3, 7, 13, 13, 5, 127, 169, 465,
    759, 393, 1543, 3327, 6223, 18675, 36075, 1, 3, 5, 15, 17, 57, 83, 237, 307,
    495, 135, 1461, 4353, 15251, 10005, 12769, 1, 1, 7, 13, 27, 49, 57, 19, 463,
    97, 217, 2825, 7729, 2375, 8339, 17563, 1, 3, 7, 1, 31, 13, 17, 245, 329,
    1021, 619, 3149, 7089, 4381, 14079, 35659, 1, 3, 5, 15, 31, 19, 15, 217, 115,
    159, 281, 2233, 4315, 7429, 25527, 44671, 1, 1, 7, 1, 11, 23, 7, 181, 43,
    271, 607, 389, 357, 3003, 15899, 50849, 1, 1, 7, 15, 11, 15, 41, 247, 37,
    163, 665, 3059, 5151, 15335, 13167, 18541, 1, 1, 7, 15, 25, 33, 33, 135, 425,
    785, 1557, 793, 7153, 13473, 8833, 21335, 1, 3, 3, 1, 17, 27, 7, 75, 205,
    71, 581, 733, 5009, 1029, 27537, 41905, 1, 3, 3, 3, 5, 63, 121, 3, 381,
    607, 1099, 1571, 1077, 15491, 13785, 31537, 1, 1, 5, 7, 17, 15, 87, 81, 313,
    683, 31, 3301, 1683, 12667, 17867, 38405, 1, 1, 1, 13, 3, 23, 51, 95, 409,
    711, 381, 245, 7, 15679, 14281, 39789, 1, 3, 1, 1, 31, 35, 97, 35, 121,
    45, 1397, 4009, 2829, 3273, 2725, 913, 1, 3, 1, 11, 29, 29, 111, 153, 499,
    371, 1767, 3063, 6175, 8205, 3485, 8951, 1, 3, 5, 5, 27, 9, 113, 141, 295,
    901, 1367, 791, 1645, 5993, 6139, 12853, 1, 1, 1, 7, 27, 17, 113, 187, 293,
    517, 1327, 579, 1191, 12039, 13973, 51129, 1, 1, 7, 3, 11, 9, 55, 71, 47,
    787, 1311, 2567, 7555, 2825, 11485, 16787, 1, 3, 1, 7, 29, 33, 115, 115, 69,
    155, 1185, 2653, 7127, 1449, 8875, 34819, 1, 3, 5, 15, 9, 61, 61, 161, 29,
    33, 1155, 613, 7233, 2811, 4837, 27781, 1, 1, 5, 3, 25, 57, 85, 121, 505,
    45, 1143, 3237, 6403, 2377, 30791, 26637, 1, 3, 3, 5, 31, 39, 63, 255, 153,
    417, 865, 441, 7649, 16321, 29147, 11089, 1, 1, 7, 5, 25, 19, 43, 45, 457,
    353, 25, 1135, 4663, 11419, 25373, 8411, 1, 3, 7, 11, 11, 47, 101, 255, 437,
    937, 263, 1171, 7893, 277, 4413, 20197, 1, 1, 5, 13, 21, 61, 1, 31, 227,
    345, 1535, 1597, 7061, 11595, 12055, 29611, 1, 1, 3, 1, 19, 49, 83, 61, 305,
    611, 399, 1397, 4753, 2309, 15097, 13439, 1, 1, 3, 9, 27, 37, 77, 165, 273,
    85, 483, 299, 5073, 1255, 4073, 56333, 1, 1, 7, 3, 5, 11, 127, 157, 489,
    653, 165, 2071, 4819, 121, 32755, 21623, 1, 3, 5, 11, 23, 5, 111, 25, 173,
    661, 353, 1167, 2625, 8021, 18731, 42705, 1, 3, 5, 15, 9, 33, 31, 137, 283,
    925, 1641, 115, 7047, 11365, 13097, 4711, 1, 3, 7, 13, 13, 13, 29, 135, 273,
    325, 1085, 1683, 1365, 9931, 8557, 3855, 1, 3, 5, 13, 17, 27, 103, 183, 237,
    343, 907, 2945, 3039, 12873, 28635, 14791, 1, 3, 3, 13, 5, 51, 13, 57, 131,
    1021, 1995, 921, 6911, 14381, 17113, 56783, 1, 3, 5, 5, 5, 55, 89, 29, 409,
    687, 1151, 3423, 1893, 12153, 8167, 14849, 1, 3, 5, 1, 1, 53, 41, 53, 81,
    797, 1665, 85, 8131, 3853, 17815, 7771, 1, 1, 7, 3, 31, 41, 37, 107, 319,
    421, 279, 2061, 1981, 6917, 25545, 46053, 1, 3, 3, 11, 13, 25, 85, 203, 399,
    863, 1577, 1445, 8093, 1845, 16307, 61075, 1, 1, 5, 5, 1, 35, 117, 201, 271,
    901, 1939, 2291, 343, 13591, 28371, 61429, 1, 3, 3, 7, 21, 55, 85, 123, 183,
    787, 1121, 447, 5761, 6925, 22407, 53149, 1, 3, 1, 13, 31, 25, 63, 247, 109,
    741, 231, 2621, 4939, 11155, 21625, 30433, 1, 1, 5, 15, 3, 49, 63, 147, 117,
    703, 1317, 2803, 4655, 5981, 14473, 52739, 1, 1, 7, 1, 27, 45, 117, 55, 391,
    275, 1793, 1279, 4799, 15509, 17173, 25103, 1, 3, 3, 1, 27, 15, 35, 43, 209,
    869, 1833, 3625, 5973, 8965, 1443, 59053, 1, 1, 1, 1, 1, 19, 93, 63, 407,
    735, 1821, 2875, 1263, 1461, 7811, 17257, 1, 1, 7, 5, 15, 35, 3, 89, 355,
    983, 1183, 2709, 127, 10671, 31223, 26689, 1, 3, 3, 3, 15, 29, 105, 239, 293,
    57, 515, 363, 5227, 14693, 18437, 13107, 1, 1, 5, 1, 29, 61, 65, 77, 23,
    311, 1581, 215, 1409, 2575, 13915, 63179, 1, 3, 1, 5, 27, 17, 113, 255, 347,
    493, 1795, 817, 7483, 10611, 9941, 56425, 1, 3, 1, 11, 1, 29, 79, 153, 183,
    975, 1127, 881, 1319, 11481, 16807, 23167, 1, 1, 5, 15, 7, 31, 107, 245, 59,
    579, 423, 2165, 5137, 14735, 13187, 28781, 1, 3, 1, 13, 13, 55, 63, 155, 63,
    581, 1083, 2249, 7397, 2081, 23727, 23981, 1, 3, 7, 9, 23, 29, 93, 215, 361,
    71, 119, 3215, 3529, 14249, 29593, 27305, 1, 1, 7, 9, 5, 63, 45, 181, 463,
    21, 229, 4069, 4889, 2141, 25623, 6191, 1, 3, 1, 1, 17, 31, 105, 153, 301,
    433, 517, 585, 285, 12805, 30173, 21363, 1, 3, 3, 15, 29, 23, 117, 19, 415,
    389, 881, 2067, 583, 11383, 24951, 34745, 1, 1, 3, 13, 27, 55, 37, 5, 337,
    943, 1851, 3227, 3881, 7365, 10853, 23325, 1, 3, 1, 11, 25, 5, 39, 189, 503,
    745, 1349, 3881, 5037, 13855, 19537, 22329, 1, 3, 7, 9, 7, 33, 63, 61, 39,
    825, 53, 1471, 3589, 13473, 29241, 40829, 1, 1, 7, 1, 1, 37, 111, 251, 427,
    427, 937, 3921, 8033, 269, 14261, 37345, 1, 1, 7, 7, 31, 59, 111, 205, 285,
    113, 951, 2867, 3769, 5237, 693, 42097, 1, 1, 1, 15, 29, 43, 15, 253, 383,
    783, 1407, 3851, 4333, 11607, 12777, 55499, 1, 1, 3, 15, 15, 27, 75, 57, 87,
    185, 1079, 2721, 915, 13633, 26439, 10697, 1, 1, 7, 13, 17, 63, 43, 65, 5,
    699, 1157, 2271, 837, 687, 29551, 22109, 1, 3, 7, 3, 5, 47, 103, 143, 281,
    81, 283, 3073, 3741, 11525, 4499, 41325, 1, 3, 7, 11, 13, 19, 63, 215, 215,
    21, 1443, 2485, 2661, 8123, 11739, 48729, 1, 3, 3, 3, 27, 13, 111, 153, 17,
    715, 1453, 1827, 5201, 1139, 19531, 18853, 1, 3, 7, 15, 7, 61, 109, 213, 383,
    483, 301, 1791, 559, 14205, 28441, 13179, 1, 1, 7, 7, 23, 55, 119, 45, 467,
    775, 951, 2533, 6703, 15791, 12891, 54513, 1, 1, 7, 15, 19, 49, 71, 127, 455,
    881, 329, 663, 4997, 8755, 17517, 31507, 1, 1, 5, 9, 9, 13, 75, 161, 109,
    631, 153, 15, 1181, 14299, 11815, 32017, 1, 3, 5, 15, 9, 63, 101, 85, 487,
    213, 1743, 2575, 6979, 14421, 18051, 14505, 1, 1, 5, 7, 5, 5, 109, 245, 427,
    765, 2013, 2929, 6737, 14561, 32227, 60605, 1, 3, 1, 3, 1, 7, 17, 169, 27,
    925, 1711, 101, 2065, 4857, 863, 38371, 1, 1, 7, 5, 5, 25, 119, 145, 27,
    377, 1535, 441, 5181, 9789, 26757, 46977, 1, 1, 7, 5, 31, 1, 79, 223, 199,
    409, 2033, 1781, 5269, 2631, 10627, 41785, 1, 3, 5, 3, 29, 7, 91, 123, 407,
    19, 847, 4019, 1029, 15763, 30265, 49287, 1, 1, 3, 9, 1, 37, 33, 53, 49,
    949, 1737, 229, 3419, 5125, 16365, 48867, 1, 3, 7, 9, 25, 17, 13, 31, 27,
    53, 287, 4021, 7687, 14511, 12627, 54409, 1, 1, 3, 9, 21, 29, 1, 193, 479,
    895, 605, 2013, 6571, 14073, 28185, 58845, 1, 3, 5, 11, 3, 21, 111, 215, 259,
    941, 1729, 645, 695, 3295, 23825, 1009, 1, 3, 3, 9, 25, 17, 103, 187, 153,
    287, 911, 1265, 41, 1687, 22443, 21117, 1, 3, 5, 5, 31, 25, 3, 107, 271,
    531, 1413, 2813, 5075, 2127, 18647, 5257, 1, 1, 1, 7, 5, 25, 71, 225, 391,
    877, 1713, 1841, 3239, 9063, 11445, 48693, 1, 1, 1, 13, 21, 25, 15, 157, 59,
    37, 1349, 413, 6401, 3533, 6019, 40373, 1, 1, 5, 5, 5, 3, 31, 185, 59,
    933, 1415, 901, 6075, 4839, 32477, 43085, 1, 3, 1, 5, 11, 7, 81, 109, 167,
    277, 1803, 39, 7421, 15573, 2233, 8193, 1, 3, 1, 1, 13, 15, 47, 109, 279,
    515, 1393, 1785, 4297, 813, 19177, 5951, 1, 3, 3, 1, 21, 23, 3, 27, 317,
    677, 1775, 1109, 93, 9007, 8767, 42181, 1, 3, 5, 13, 23, 15, 49, 9, 369,
    293, 529, 2115, 4781, 1955, 21897, 22871, 1, 1, 7, 9, 5, 39, 85, 85, 405,
    837, 1891, 27, 509, 14643, 10497, 34021, 1, 1, 7, 9, 7, 47, 49, 87, 481,
    1003, 741, 329, 2951, 5317, 21601, 20485, 1, 3, 5, 11, 27, 61, 45, 251, 489,
    623, 1673, 891, 5429, 4457, 23147, 5201, 1, 3, 3, 7, 25, 27, 3, 233, 193,
    253, 483, 1881, 6753, 7843, 3975, 23413, 1, 3, 1, 15, 27, 31, 51, 213, 463,
    995, 1127, 3589, 1409, 15743, 22755, 39913, 1, 3, 1, 13, 21, 17, 35, 157, 233,
    899, 1003, 201, 3425, 6703, 26585, 18389, 1, 3, 1, 9, 11, 23, 69, 93, 361,
    177, 1071, 3523, 4117, 6107, 3701, 64213, 1, 3, 5, 1, 19, 1, 35, 95, 385,
    853, 1635, 1815, 5307, 3155, 11347, 39289, 1, 1, 7, 9, 3, 41, 37, 161, 293,
    1005, 1915, 2867, 841, 195, 4247, 8621, 1, 3, 7, 11, 19, 43, 69, 95, 455,
    669, 217, 129, 1275, 8431, 22519, 39261, 1, 3, 7, 13, 31, 49, 105, 61, 437,
    923, 1579, 1695, 7129, 10555, 3177, 6667, 1, 1, 5, 7, 3, 47, 29, 159, 207,
    969, 433, 3541, 689, 1255, 1359, 38349, 1, 1, 3, 9, 9, 31, 23, 37, 435,
    729, 121, 2483, 8009, 14229, 6961, 40681, 1, 3, 1, 7, 19, 33, 111, 131, 155,
    641, 795, 3753, 4381, 11135, 8381, 62553, 1, 3, 7, 13, 29, 37, 15, 245, 341,
    1023, 1123, 3317, 2409, 8957, 4607, 53947, 1, 1, 7, 15, 7, 19, 105, 187, 407,
    339, 607, 11, 1679, 13701, 2385, 6203, 1, 3, 3, 9, 7, 63, 7, 173, 475,
    87, 807, 1467, 791, 1949, 20839, 54179, 1, 3, 3, 3, 25, 25, 111, 155, 249,
    55, 1455, 2503, 6869, 14463, 10519, 56761, 1, 3, 1, 9, 9, 31, 89, 235, 499,
    61, 747, 487, 6767, 4777, 12513, 43677, 1, 3, 3, 5, 25, 47, 13, 3, 313,
    541, 1323, 3551, 7971, 1453, 1531, 38915, 1, 1, 1, 5, 7, 63, 125, 243, 199,
    875, 791, 103, 3997, 16199, 20615, 18359, 1, 1, 7, 1, 21, 19, 13, 9, 117,
    625, 1333, 561, 889, 10961, 11313, 48139, 1, 3, 5, 9, 19, 57, 121, 163, 333,
    681, 1065, 885, 5961, 6385, 20135, 19733, 1, 1, 7, 13, 27, 11, 113, 187, 91,
    83, 591, 517, 7379, 12823, 31815, 14721, 1, 3, 5, 7, 27, 21, 47, 203, 411,
    191, 881, 2597, 6107, 135, 14525, 4059, 1, 3, 5, 7, 29, 3, 61, 231, 259,
    425, 1953, 803, 7921, 2321, 28919, 41349, 1, 3, 1, 1, 27, 7, 87, 197, 287,
    345, 457, 1813, 2701, 2095, 32705, 52579, 1, 3, 3, 9, 13, 59, 87, 105, 49,
    387, 73, 2983, 6453, 10977, 8851, 61031, 1, 3, 5, 7, 1, 53, 121, 129, 307,
    251, 1405, 3093, 4487, 1953, 2681, 4391, 1, 1, 3, 1, 1, 29, 119, 125, 95,
    425, 385, 1577, 3387, 14709, 25143, 4317, 1, 3, 1, 3, 27, 59, 53, 203, 75,
    731, 1019, 3179, 4533, 3217, 30801, 53439, 1, 1, 3, 11, 29, 53, 93, 251, 441,
    75, 363, 2405, 6263, 12121, 11963, 13219, 1, 3, 1, 13, 3, 7, 57, 169, 387,
    543, 1027, 1169, 5089, 5077, 17933, 8131, 1, 1, 3, 5, 17, 17, 123, 161, 21,
    641, 795, 2415, 2743, 1489, 25137, 19393, 1, 3, 3, 1, 1, 47, 37, 95, 315,
    37, 1481, 2189, 687, 2859, 5339, 26907, 1, 3, 7, 15, 23, 51, 71, 203, 237,
    777, 417, 2767, 5243, 1453, 17269, 27679, 1, 3, 1, 15, 17, 41, 29, 45, 363,
    77, 1071, 3419, 6453, 13897, 25275, 26379, 1, 3, 7, 11, 21, 5, 89, 133, 339,
    971, 1581, 377, 6563, 13073, 24521, 41107, 1, 1, 7, 15, 1, 27, 57, 249, 511,
    833, 269, 2771, 4127, 12567, 27359, 22105, 1, 1, 3, 5, 31, 47, 63, 221, 25,
    869, 1947, 3075, 6857, 13507, 16601, 29621, 1, 1, 3, 7, 17, 23, 109, 169, 211,
    407, 1147, 2453, 2281, 10763, 11539, 49127, 1, 1, 3, 11, 27, 25, 111, 75, 465,
    67, 1641, 3623, 7957, 14307, 17469, 52229, 1, 3, 1, 5, 23, 31, 49, 131, 351,
    311, 1937, 2181, 7485, 10883, 20843, 33447, 1, 3, 1, 3, 5, 47, 81, 47, 305,
    567, 219, 2495, 1207, 14359, 4683, 53717, 1, 1, 3, 3, 29, 43, 107, 81, 227,
    795, 1261, 3887, 6177, 6219, 2557, 53203, 1, 3, 1, 9, 25, 47, 87, 177, 511,
    899, 1967, 601, 3659, 3961, 27301, 9497, 1, 1, 5, 11, 7, 19, 69, 95, 319,
    811, 1539, 931, 6609, 4325, 4639, 60125, 1, 3, 3, 13, 31, 25, 65, 137, 67,
    903, 1519, 3, 81, 9991, 24985, 12571, 1, 3, 1, 15, 13, 45, 87, 95, 185,
    531, 591, 3649, 2289, 6353, 4305, 12801, 1, 3, 7, 11, 13, 49, 79, 205, 9,
    457, 151, 3363, 1865, 12337, 3601, 23781, 1, 3, 3, 7, 21, 7, 117, 177, 327,
    547, 385, 301, 5595, 14389, 8243, 3133, 1, 3, 1, 3, 17, 39, 61, 45, 489,
    769, 1893, 1633, 2645, 10849, 3827, 41365, 1, 1, 1, 11, 11, 43, 93, 81, 497,
    731, 1049, 91, 7979, 4707, 8757, 54837, 1, 1, 3, 7, 1, 63, 127, 173, 137,
    291, 473, 3095, 6291, 14415, 20763, 45687, 1, 1, 5, 13, 29, 59, 73, 47, 171,
    1001, 537, 2009, 5057, 15013, 22195, 56067, 1, 1, 3, 5, 21, 35, 121, 169, 377,
    389, 1209, 415, 2641, 10423, 11327, 64157, 1, 1, 7, 1, 23, 43, 59, 205, 39,
    455, 633, 1965, 7955, 305, 12245, 45229, 1, 3, 1, 15, 15, 27, 49, 77, 407,
    549, 1159, 1701, 7331, 6421, 1799, 43539, 1, 3, 5, 3, 5, 33, 41, 127, 141,
    149, 1957, 2823, 1303, 7339, 25253, 32329, 1, 1, 5, 15, 5, 37, 119, 111, 329,
    781, 983, 2021, 1191, 1579, 4191, 24065, 1, 3, 7, 9, 7, 11, 25, 111, 301,
    819, 1073, 2311, 2357, 6385, 17015, 8051, 1, 1, 1, 9, 29, 63, 91, 101, 71,
    679, 267, 2909, 5359, 2305, 2523, 32423, 1, 3, 1, 5, 11, 45, 107, 95, 487,
    605, 1647, 1977, 5305, 8855, 9057, 7809, 1, 1, 1, 1, 5, 45, 51, 51, 97,
    775, 1559, 935, 7421, 2823, 11415, 49193, 1, 3, 3, 5, 23, 63, 99, 189, 175,
    77, 675, 4021, 899, 11315, 18627, 46175, 1, 1, 3, 13, 9, 31, 67, 235, 409,
    541, 2013, 2715, 2121, 3695, 11953, 5745, 1, 3, 5, 1, 13, 3, 15, 111, 455,
    849, 231, 2711, 6831, 7813, 17173, 26019, 1, 1, 1, 15, 19, 3, 21, 135, 275,
    891, 61, 5, 2901, 15727, 18015, 55741, 1, 3, 1, 5, 5, 31, 5, 147, 353,
    199, 229, 3821, 537, 11667, 649, 33923, 1, 1, 7, 13, 3, 9, 75, 217, 423,
    487, 723, 4091, 7075, 819, 2755, 13593, 1, 1, 1, 9, 25, 45, 69, 41, 183,
    547, 69, 3591, 1331, 5701, 25891, 26553, 1, 3, 3, 13, 29, 51, 79, 153, 145,
    923, 1345, 3113, 93, 10617, 12865, 27341, 1, 3, 3, 13, 13, 61, 67, 115, 295,
    767, 1077, 3959, 7741, 16145, 3571, 38941, 1, 1, 3, 3, 1, 11, 25, 33, 481,
    901, 135, 2093, 3531, 12137, 4521, 42301, 1, 1, 3, 1, 9, 59, 105, 71, 57,
    131, 1491, 3259, 4125, 10279, 7537, 38827, 1, 3, 7, 13, 7, 53, 83, 43, 243,
    423, 43, 2021, 4269, 1793, 9969, 55429, 1, 1, 3, 11, 17, 57, 73, 55, 369,
    975, 603, 1893, 3299, 12177, 8965, 17159, 1, 3, 5, 11, 23, 11, 61, 11, 119,
    905, 1841, 2597, 691, 6237, 2285, 33503, 1, 3, 5, 3, 21, 17, 35, 169, 511,
    1009, 1287, 3967, 1543, 6983, 6895, 24959, 1, 1, 1, 13, 23, 9, 21, 47, 119,
    323, 1255, 3601, 3157, 14041, 32065, 4759, 1, 1, 7, 15, 9, 1, 103, 43, 485,
    281, 1651, 1957, 4215, 2105, 24455, 51001, 1, 1, 5, 7, 11, 11, 59, 31, 351,
    275, 573, 2481, 2545, 15767, 4319, 63375, 1, 3, 1, 1, 1, 41, 41, 13, 33,
    693, 1035, 905, 6129, 11131, 23571, 28789, 1, 1, 7, 11, 9, 39, 119, 31, 109,
    837, 1905, 763, 3737, 16031, 8751, 17307, 1, 3, 3, 7, 17, 49, 77, 199, 33,
    185, 1489, 445, 5495, 13693, 21453, 21039, 1, 3, 5, 15, 5, 9, 113, 179, 315,
    85, 1559, 1505, 593, 259, 10393, 39025, 1, 1, 1, 5, 31, 33, 41, 45, 313,
    513, 861, 2697, 4767, 10737, 25019, 12715, 1, 3, 3, 1, 19, 21, 19, 19, 127,
    1009, 859, 829, 6887, 5407, 28491, 61079, 1, 1, 3, 15, 15, 35, 69, 255, 367,
    889, 49, 3237, 3269, 1559, 26337, 16967, 1, 1, 5, 3, 17, 5, 125, 171, 505,
    981, 773, 2973, 2905, 1537, 17729, 52289, 1, 1, 3, 3, 29, 5, 57, 247, 149,
    707, 673, 429, 7583, 12135, 5405, 313, 1, 1, 3, 13, 31, 35, 117, 69, 413,
    723, 645, 3989, 6461, 77, 29713, 32381, 1, 3, 3, 13, 11, 59, 5, 53, 507,
    355, 335, 4027, 3111, 8385, 22369, 42907, 1, 1, 5, 9, 1, 47, 87, 13, 397,
    693, 1745, 2907, 3919, 14843, 869, 24161, 1, 3, 7, 13, 11, 25, 25, 153, 501,
    305, 941, 2379, 2587, 8225, 27951, 14809, 1, 1, 7, 3, 31, 7, 9, 47, 129,
    611, 1367, 1575, 4421, 2277, 8113, 34229, 1, 1, 5, 11, 7, 41, 65, 5, 289,
    799, 1143, 291, 243, 12957, 2729, 14589, 1, 3, 3, 7, 15, 29, 49, 243, 191,
    565, 271, 2485, 1507, 13479, 3541, 10039, 1, 3, 5, 3, 25, 29, 113, 157, 357,
    891, 199, 3113, 7133, 11047, 27517, 26795, 1, 1, 3, 15, 27, 23, 5, 207, 183,
    85, 247, 15, 5559, 8005, 32485, 26403, 1, 1, 3, 9, 13, 9, 87, 9, 237,
    875, 1621, 2955, 4105, 9645, 9613, 31235, 1, 1, 7, 11, 17, 3, 77, 241, 75,
    433, 1481, 1901, 6249, 12411, 18975, 18911, 1, 3, 5, 15, 3, 43, 99, 197, 407,
    161, 1103, 587, 6695, 255, 15571, 7523, 1, 1, 1, 13, 1, 21, 9, 155, 447,
    785, 1573, 2497, 1515, 6031, 23509, 38199, 1, 1, 5, 15, 23, 43, 125, 187, 57,
    259, 941, 1213, 2303, 1127, 31819, 53539, 1, 3, 3, 9, 23, 19, 29, 83, 431,
    79, 781, 1887, 4857, 2079, 11521, 64925, 1, 3, 5, 5, 23, 11, 33, 107, 127,
    173, 223, 491, 1529, 14655, 18857, 25247, 1, 3, 3, 9, 17, 53, 119, 159, 503,
    153, 697, 657, 6207, 7659, 23899, 10347, 1, 3, 1, 15, 13, 37, 117, 219, 341,
    983, 193, 1641, 7811, 11961, 12553, 9467, 1, 1, 7, 5, 27, 11, 35, 45, 89,
    535, 965, 1269, 1243, 3987, 4629, 45335, 1, 1, 7, 1, 17, 25, 79, 133, 287,
    7, 269, 697, 2537, 241, 15747, 49429, 1, 3, 3, 3, 27, 63, 23, 229, 3,
    625, 453, 3037, 5747, 13525, 28835, 13411, 1, 3, 5, 5, 25, 57, 101, 13, 81,
    917, 1849, 3931, 3319, 1353, 8253, 28897, 1, 1, 3, 15, 3, 41, 89, 165, 1,
    935, 1859, 2881, 4351, 6737, 12361, 27821, 1, 3, 5, 3, 9, 45, 89, 251, 77,
    899, 777, 4063, 8111, 5953, 26645, 62567, 1, 3, 5, 1, 25, 7, 15, 189, 157,
    751, 627, 629, 2875, 11143, 23841, 58751, 1, 1, 1, 9, 7, 43, 95, 171, 311,
    809, 971, 1317, 3521, 15227, 18155, 11409, 1, 3, 3, 7, 29, 7, 69, 1, 235,
    699, 971, 3149, 71, 3609, 859, 17059, 1, 3, 1, 1, 3, 43, 3, 181, 465,
    843, 1391, 3313, 8115, 1835, 32365, 31303, 1, 1, 5, 1, 27, 49, 15, 37, 257,
    365, 1577, 3037, 2767, 8183, 173, 43089, 1, 1, 1, 7, 7, 29, 81, 33, 299,
    827, 221, 2049, 1163, 13023, 6755, 53987, 1, 3, 1, 11, 19, 17, 63, 19, 469,
    925, 37, 3291, 2699, 10083, 32197, 53749, 1, 3, 5, 15, 1, 23, 71, 173, 441,
    109, 391, 3611, 7515, 5095, 26379, 55999, 1, 3, 3, 13, 29, 13, 23, 57, 329,
    285, 1595, 2681, 5427, 3251, 7025, 3921, 1, 1, 1, 13, 7, 45, 121, 19, 19,
    317, 1619, 2245, 7151, 5797, 31369, 7765, 1, 3, 7, 13, 9, 17, 11, 127, 337,
    271, 2005, 787, 1017, 3075, 29453, 62275, 1, 3, 3, 13, 9, 51, 77, 31, 395,
    175, 247, 1021, 4343, 3829, 959, 12069, 1, 3, 1, 9, 21, 33, 3, 129, 327,
    13, 1943, 3305, 6173, 6903, 32539, 9525, 1, 1, 3, 15, 23, 5, 49, 125, 445,
    849, 547, 2911, 7611, 8137, 28701, 6883, 1, 1, 3, 13, 11, 15, 21, 35, 303,
    401, 187, 1981, 7919, 6179, 15643, 10327, 1, 1, 5, 7, 9, 45, 95, 205, 137,
    425, 353, 673, 1337, 4357, 12521, 55229, 1, 3, 5, 5, 29, 47, 93, 213, 357,
    821, 467, 395, 5079, 10341, 24117, 59757, 1, 3, 7, 5, 29, 39, 25, 85, 437,
    873, 795, 91, 1979, 15503, 12157, 6803, 1, 3, 7, 1, 31, 21, 31, 245, 79,
    661, 323, 1843, 2225, 15383, 17507, 30667, 1, 3, 5, 11, 1, 11, 119, 151, 489,
    303, 835, 319, 2071, 1497, 10343, 40641, 1, 1, 1, 13, 7, 7, 125, 237, 103,
    65, 1917, 2203, 5895, 8651, 7331, 27591, 1, 3, 3, 15, 21, 17, 73, 21, 485,
    985, 253, 1877, 7423, 6569, 25971, 57821, 1, 3, 5, 13, 3, 59, 9, 77, 99,
    851, 343, 2655, 367, 7253, 16357, 61563, 1, 3, 7, 13, 11, 1, 15, 227, 223,
    317, 1111, 2287, 4035, 6803, 16787, 27797, 1, 3, 3, 5, 17, 49, 103, 191, 245,
    473, 2007, 3297, 6487, 7371, 30497, 40255, 1, 3, 5, 13, 1, 61, 39, 1, 501,
    665, 1085, 3933, 855, 883, 26949, 48761, 1, 3, 3, 13, 29, 39, 5, 43, 39,
    529, 1605, 2235, 5081, 7467, 20727, 48611, 1, 1, 3, 11, 19, 61, 89, 15, 149,
    639, 337, 2953, 2229, 11161, 21981, 26003, 1, 1, 3, 5, 29, 47, 71, 65, 107,
    485, 57, 2255, 4383, 12383, 18161, 40233, 1, 1, 7, 3, 21, 41, 75, 133, 141,
    343, 633, 2043, 2441, 5479, 2493, 45707, 1, 1, 7, 15, 21, 37, 19, 73, 361,
    195, 1007, 1265, 4075, 1383, 11809, 64265, 1, 1, 5, 11, 19, 63, 21, 163, 349,
    961, 1221, 2265, 4801, 14049, 8655, 32823, 1, 1, 5, 1, 9, 1, 101, 37, 473,
    293, 1191, 791, 5327, 13739, 21761, 5755, 1, 1, 1, 15, 23, 57, 63, 195, 451,
    627, 1725, 2405, 6943, 6855, 31563, 44699, 1, 3, 7, 1, 31, 41, 51, 177, 95,
    961, 1407, 2847, 7, 8975, 4017, 46229, 1, 1, 3, 13, 19, 9, 67, 183, 255,
    1, 1769, 2585, 2157, 9747, 32047, 13063, 1, 3, 3, 1, 21, 39, 31, 117, 397,
    441, 1443, 3849, 5993, 13981, 23579, 40637, 1, 1, 7, 1, 31, 23, 61, 203, 111,
    273, 1693, 3031, 4125, 1527, 30525, 17465, 1, 3, 5, 9, 19, 39, 127, 51, 419,
    205, 425, 1939, 3703, 12009, 6291, 48639, 1, 3, 5, 13, 15, 27, 63, 239, 483,
    181, 1621, 3789, 1929, 11115, 29385, 53075, 1, 1, 1, 9, 13, 9, 61, 15, 221,
    163, 1645, 419, 639, 15081, 2097, 42133, 1, 3, 1, 7, 7, 31, 27, 141, 215,
    645, 1293, 2237, 7129, 12619, 14563, 46081, 1, 3, 1, 13, 3, 41, 85, 37, 295,
    815, 1417, 3083, 5873, 2037, 29909, 3817, 1, 3, 3, 9, 11, 49, 77, 103, 189,
    319, 439, 3547, 173, 1105, 12125, 49989, 1, 3, 1, 15, 21, 9, 5, 37, 87,
    905, 145, 1151, 2213, 4157, 16171, 56121, 1, 3, 5, 3, 15, 21, 91, 103, 367,
    423, 101, 327, 3819, 3141, 3515, 11433, 1, 3, 1, 13, 13, 11, 61, 175, 265,
    1011, 1825, 937, 983, 9575, 6053, 19633, 1, 3, 3, 9, 25, 47, 55, 233, 397,
    325, 1217, 1691, 2751, 5339, 14269, 28791, 1, 1, 7, 15, 15, 51, 29, 215, 47,
    713, 1879, 1981, 3087, 9945, 8959, 59367, 1, 1, 1, 9, 1, 33, 97, 7, 247,
    893, 655, 3137, 6593, 7261, 11829, 22101, 1, 1, 1, 7, 11, 23, 75, 55, 313,
    533, 529, 1929, 3647, 3317, 2987, 11917, 1, 1, 1, 11, 17, 35, 105, 221, 211,
    545, 1595, 1949, 1895, 39, 7163, 33303, 1, 1, 1, 9, 21, 29, 73, 235, 189,
    11, 1747, 1023, 3987, 10337, 1689, 64043, 1, 3, 1, 5, 11, 17, 115, 57, 465,
    899, 1421, 1329, 6099, 8081, 11297, 13217, 1, 3, 3, 9, 5, 23, 53, 23, 11,
    177, 817, 3003, 5073, 12071, 11263, 43159, 1, 1, 3, 13, 1, 63, 127, 41, 303,
    681, 1559, 2385, 6265, 2417, 7063, 57965, 1, 3, 1, 1, 3, 21, 21, 37, 485,
    771, 2043, 2065, 7047, 8867, 7019, 31437, 1, 3, 1, 11, 27, 49, 77, 89, 391,
    623, 1675, 1919, 3575, 2187, 22801, 11059, 1, 1, 3, 5, 9, 57, 51, 255, 287,
    851, 1999, 811, 7769, 11185, 19279, 65491, 1, 3, 1, 15, 31, 43, 113, 11, 461,
    95, 841, 2937, 3969, 5901, 32681, 9231, 1, 3, 3, 5, 31, 47, 21, 187, 171,
    249, 787, 459, 6897, 12131, 14843, 11805, 1, 1, 7, 13, 27, 61, 91, 77, 9,
    393, 1231, 1901, 291, 1487, 22139, 30569, 1, 1, 1, 1, 27, 33, 55, 151, 89,
    603, 551, 3767, 695, 15225, 9665, 60459, 1, 1, 7, 13, 31, 19, 83, 27, 381,
    105, 481, 3095, 137, 10433, 12967, 19555, 1, 1, 1, 11, 15, 1, 3, 121, 107,
    435, 1571, 3205, 5213, 3689, 31365, 14353, 1, 3, 7, 11, 23, 61, 93, 59, 179,
    361, 965, 413, 7757, 15779, 1119, 34673, 1, 1, 3, 13, 29, 63, 79, 135, 431,
    723, 727, 2685, 1775, 9027, 27051, 42581, 1, 3, 5, 9, 27, 19, 17, 141, 367,
    1021, 651, 2549, 4003, 15737, 22063, 12443, 1, 1, 1, 11, 23, 27, 35, 225, 399,
    173, 451, 1701, 1093, 5639, 1855, 1817, 1, 3, 7, 11, 23, 63, 119, 13, 147,
    997, 53, 3127, 101, 6633, 14377, 61843, 1, 1, 1, 15, 23, 21, 65, 213, 311,
    789, 1395, 1239, 241, 15041, 14683, 27805, 1, 3, 3, 9, 7, 29, 83, 153, 231,
    337, 153, 3097, 6137, 11003, 31091, 57005, 1, 3, 7, 9, 19, 33, 91, 235, 123,
    747, 1331, 2307, 3791, 2063, 23613, 3589, 1, 3, 3, 15, 9, 25, 95, 237, 381,
    349, 1339, 3187, 2387, 3487, 4149, 39343, 1, 1, 1, 13, 5, 3, 43, 193, 431,
    853, 1419, 905, 2395, 11459, 26109, 31277, 1, 3, 1, 15, 13, 29, 13, 253, 475,
    81, 1199, 841, 7385, 2609, 10445, 11151, 1, 1, 7, 15, 29, 11, 81, 91, 287,
    615, 949, 2541, 5059, 12567, 9547, 45647, 1, 3, 7, 13, 9, 27, 123, 165, 249,
    457, 607, 1203, 987, 4477, 21205, 44547, 1, 1, 3, 15, 3, 1, 37, 43, 445,
    205, 1849, 3461, 7667, 209, 8773, 1507, 1, 3, 1, 3, 27, 43, 75, 199, 185,
    249, 725, 301, 2181, 6859, 16825, 3471, 1, 3, 1, 9, 29, 5, 55, 5, 345,
    325, 1853, 3925, 1739, 14991, 27845, 6931, 1, 1, 3, 5, 31, 15, 33, 47, 201,
    649, 415, 639, 391, 12065, 17343, 3063, 1, 1, 7, 11, 19, 37, 39, 77, 367,
    29, 1251, 2637, 5601, 10661, 17647, 22131, 1, 1, 7, 15, 29, 51, 13, 129, 279,
    427, 1535, 2185, 2651, 8251, 14857, 61467, 1, 1, 7, 5, 25, 55, 45, 105, 213,
    31, 735, 3795, 6627, 14299, 3155, 3659, 1, 1, 1, 9, 21, 27, 21, 85, 315,
    793, 1663, 437, 4113, 4639, 11321, 13633, 1, 3, 5, 9, 23, 17, 49, 35, 451,
    799, 1451, 539, 4549, 43, 1901, 21155, 1, 3, 7, 9, 23, 53, 25, 71, 371,
    1005, 129, 157, 2977, 15823, 30393, 55629, 1, 1, 7, 7, 9, 27, 79, 101, 147,
    511, 199, 2843, 101, 14975, 3455, 843, 1, 3, 1, 7, 11, 33, 43, 7, 445,
    501, 1071, 1851, 5763, 5233, 16121, 23357, 1, 1, 1, 13, 11, 21, 75, 153, 421,
    311, 1709, 3745, 2971, 11219, 23107, 40057, 1, 1, 3, 15, 17, 39, 17, 165, 103,
    31, 575, 3945, 1921, 11305, 13417, 20603, 1, 3, 3, 3, 5, 49, 37, 61, 177,
    595, 1133, 1883, 819, 5137, 10423, 42009, 1, 1, 3, 5, 5, 15, 89, 191, 97,
    1017, 205, 4037, 3431, 13877, 29867, 26041, 1, 3, 3, 7, 9, 9, 109, 157, 357,
    815, 1539, 3507, 1379, 1105, 14387, 46689, 1, 3, 3, 9, 3, 11, 77, 161, 473,
    619, 741, 2945, 5123, 3325, 8679, 36167, 1, 1, 1, 9, 9, 53, 3, 77, 319,
    223, 875, 425, 1369, 509, 25895, 32803, 1, 1, 3, 13, 31, 15, 113, 133, 473,
    29, 1009, 1385, 871, 15785, 1015, 42627, 1, 3, 7, 13, 5, 53, 123, 7, 465,
    485, 1413, 1663, 6541, 13051, 12251, 36151, 1, 1, 1, 13, 9, 21, 123, 223, 483,
    849, 489, 3905, 4697, 7583, 5373, 62397, 1, 1, 7, 9, 29, 53, 85, 151, 511,
    917, 1719, 937, 2035, 6385, 23529, 62213, 1, 1, 3, 15, 11, 47, 111, 79, 377,
    585, 475, 3201, 7025, 1483, 8815, 47235, 1, 1, 3, 13, 13, 5, 39, 31, 71,
    39, 941, 2215, 2195, 2827, 24353, 18435, 1, 1, 7, 15, 13, 31, 31, 15, 421,
    81, 895, 1345, 7049, 4373, 28005, 41781, 1, 1, 3, 15, 17, 57, 21, 175, 453,
    755, 1295, 353, 5257, 15901, 15643, 31725, 1, 1, 1, 9, 17, 17, 71, 209, 155,
    511, 1461, 3313, 7515, 8407, 9561, 48169, 1, 3, 7, 15, 23, 59, 89, 39, 85,
    857, 1285, 3099, 6497, 5501, 21321, 34319, 1, 3, 5, 5, 27, 13, 41, 1, 191,
    275, 1567, 895, 13, 673, 10079, 55075, 1, 1, 7, 15, 9, 33, 33, 35, 55,
    597, 365, 3205, 6427, 837, 16011, 23279, 1, 3, 5, 11, 23, 23, 9, 79, 383,
    303, 1715, 1651, 7507, 14553, 30715, 56659, 1, 3, 1, 11, 1, 61, 31, 85, 181,
    593, 1783, 901, 6069, 1521, 13275, 18057, 1, 3, 1, 13, 23, 59, 111, 221, 47,
    599, 193, 1547, 4077, 15271, 19315, 1115, 1, 3, 7, 7, 23, 53, 115, 69, 19,
    409, 1041, 3395, 6429, 9263, 21637, 35533, 1, 1, 7, 1, 31, 45, 43, 251, 163,
    907, 761, 2009, 3807, 1529, 12001, 38823, 1, 3, 5, 3, 3, 59, 87, 247, 179,
    931, 709, 53, 6283, 13723, 15407, 22417, 1, 1, 1, 5, 27, 17, 21, 183, 393,
    177, 1187, 19, 5409, 2539, 17401, 29287, 1, 1, 5, 15, 3, 51, 91, 95, 389,
    855, 1453, 2815, 7507, 5449, 12459, 59111, 1, 1, 5, 3, 7, 53, 101, 255, 395,
    345, 915, 1649, 6641, 7771, 20747, 17067, 1, 3, 1, 7, 5, 35, 69, 63, 249,
    189, 1937, 965, 3463, 13615, 12449, 11891, 1, 3, 3, 9, 5, 59, 57, 187, 403,
    825, 1291, 2995, 6365, 15995, 6871, 25785, 1, 3, 5, 15, 17, 23, 117, 103, 131,
    601, 1259, 1331, 3039, 4761, 8105, 14521, 1, 1, 3, 15, 27, 51, 97, 221, 345,
    615, 487, 2535, 139, 16233, 16271, 713, 1, 3, 7, 13, 25, 49, 99, 71, 353,
    1015, 1889, 689, 1925, 6523, 30995, 23057, 1, 3, 5, 9, 21, 55, 11, 29, 477,
    581, 1719, 2603, 1757, 3995, 27025, 62833, 1, 3, 1, 9, 9, 39, 9, 121, 459,
    991, 2021, 1469, 2399, 4441, 11829, 36865, 1, 3, 1, 5, 9, 13, 115, 27, 487,
    307, 453, 351, 885, 12539, 39, 33887, 1, 3, 1, 7, 23, 35, 87, 131, 129,
    1, 2015, 3921, 1309, 7915, 16661, 45945, 1, 3, 1, 3, 1, 15, 93, 255, 285,
    915, 563, 527, 7763, 4581, 11161, 64619, 1, 3, 3, 9, 31, 37, 87, 81, 313,
    647, 1065, 863, 6121, 1385, 26171, 56323, 1, 1, 3, 7, 25, 49, 23, 107, 507,
    511, 951, 669, 67, 14319, 17669, 32497, 1, 3, 1, 13, 9, 33, 93, 171, 457,
    687, 703, 1073, 3699, 7029, 28983, 14501, 1, 1, 7, 13, 29, 3, 19, 173, 131,
    285, 469, 1223, 7779, 15367, 643, 63715, 1, 3, 7, 5, 5, 37, 21, 223, 227,
    939, 1205, 3167, 5535, 11543, 7411, 30841, 1, 3, 5, 11, 31, 37, 75, 39, 171,
    135, 1487, 3503, 7939, 77, 19745, 2551, 1, 3, 5, 13, 25, 33, 79, 213, 289,
    27, 1435, 1839, 3089, 8173, 27555, 20599, 1, 1, 3, 13, 19, 31, 67, 9, 229,
    591, 561, 3797, 1833, 3311, 16053, 61183, 1, 1, 3, 3, 27, 27, 79, 95, 7,
    1023, 517, 3627, 4117, 8165, 17961, 39011, 1, 3, 5, 3, 3, 43, 37, 231, 389,
    367, 517, 3117, 2643, 2103, 127, 42669, 1, 1, 1, 11, 11, 49, 35, 71, 295,
    87, 1653, 1899, 1177, 16071, 8429, 54751, 1, 1, 7, 13, 5, 47, 7, 229, 261,
    837, 645, 1581, 159, 73, 10233, 18557, 1, 3, 1, 9, 11, 45, 25, 3, 271,
    1005, 1193, 507, 269, 14689, 7601, 56781, 1, 1, 5, 11, 13, 61, 107, 29, 155,
    415, 1435, 1979, 7339, 1839, 21097, 5851, 1, 1, 5, 9, 9, 27, 83, 163, 15,
    539, 765, 463, 7493, 1413, 15597, 42819, 1, 3, 1, 9, 21, 7, 91, 213, 463,
    827, 1847, 2825, 2115, 14549, 29923, 61355, 1, 1, 3, 15, 1, 55, 69, 85, 7,
    847, 1935, 3225, 693, 12069, 26303, 19143, 1, 3, 1, 11, 15, 47, 53, 181, 327,
    493, 483, 999, 4421, 6707, 27933, 11533, 1, 3, 3, 3, 23, 7, 7, 63, 235,
    493, 937, 2935, 2869, 14243, 30975, 12881, 1, 1, 3, 9, 9, 7, 113, 203, 297,
    183, 1687, 3211, 8131, 7033, 15007, 1307, 1, 3, 1, 9, 9, 39, 99, 5, 61,
    435, 427, 2719, 7741, 4267, 2423, 37573, 1, 3, 7, 3, 17, 1, 105, 13, 89,
    693, 1835, 2455, 1135, 15545, 2447, 25673, 1, 3, 5, 5, 15, 47, 103, 167, 21,
    791, 1297, 3523, 4427, 7013, 1845, 44461, 1, 1, 5, 7, 11, 17, 55, 247, 317,
    229, 1465, 3781, 2397, 10541, 8943, 29155, 1, 1, 5, 3, 17, 17, 97, 141, 153,
    883, 449, 1163, 3165, 125, 4689, 44461, 1, 3, 7, 1, 17, 13, 9, 235, 87,
    251, 57, 2769, 4845, 5733, 4305, 49489, 1, 1, 7, 1, 9, 41, 79, 97, 201,
    789, 37, 2593, 8023, 139, 30623, 7667, 1, 1, 7, 7, 7, 27, 9, 99, 199,
    163, 1175, 729, 2731, 4391, 27597, 23087, 1, 3, 5, 5, 29, 39, 5, 129, 395,
    1007, 1751, 3951, 5879, 13105, 26223, 31361, 1, 3, 5, 3, 3, 55, 89, 253, 207,
    553, 1407, 2277, 6879, 16027, 23477, 43633, 1, 1, 1, 3, 13, 21, 9, 149, 31,
    359, 1631, 2199, 2937, 15663, 5899, 59959, 1, 1, 1, 7, 25, 63, 87, 13, 179,
    237, 359, 3841, 6467, 5621, 29459, 31339, 1, 1, 1, 15, 25, 45, 77, 17, 419,
    759, 1045, 1285, 6739, 11035, 11401, 44821, 1, 3, 7, 1, 31, 47, 17, 237, 69,
    389, 1251, 1205, 833, 2313, 17005, 32683, 1, 1, 7, 9, 13, 19, 51, 69, 261,
    85, 215, 2215, 1643, 12985, 10363, 17123, 1, 3, 1, 3, 3, 51, 41, 173, 161,
    633, 1727, 3089, 7791, 7367, 32641, 14361, 1, 3, 5, 3, 21, 49, 19, 243, 427,
    589, 1699, 2187, 4177, 927, 6201, 46319, 1, 1, 3, 11, 1, 59, 49, 235, 345,
    731, 793, 1893, 4735, 10647, 31169, 12051, 1, 1, 7, 15, 23, 51, 67, 151, 253,
    793, 1673, 3255, 4919, 11309, 24903, 9083, 1, 3, 3, 9, 7, 59, 41, 225, 397,
    671, 513, 1351, 2835, 15789, 17679, 28641, 1, 3, 1, 7, 17, 39, 49, 103, 181,
    375, 1843, 1183, 4219, 2931, 18385, 1203, 1, 1, 1, 3, 29, 19, 113, 55, 81,
    69, 1541, 3249, 643, 841, 6053, 63571, 1, 1, 7, 5, 1, 3, 39, 237, 283,
    283, 813, 3539, 5899, 8489, 18393, 22371, 1, 3, 7, 13, 5, 53, 15, 129, 95,
    181, 657, 3735, 7517, 2435, 17245, 4075, 1, 1, 5, 3, 9, 37, 73, 95, 175,
    989, 1443, 1745, 8117, 5867, 29729, 28441, 1, 3, 3, 11, 5, 41, 25, 3, 177,
    735, 187, 357, 5365, 8161, 2071, 41651, 1, 1, 1, 15, 29, 47, 27, 233, 177,
    339, 1839, 1761, 5483, 7203, 32411, 59859, 1, 3, 7, 9, 13, 59, 25, 17, 157,
    247, 697, 4011, 4539, 4253, 1381, 63009, 1, 1, 5, 13, 19, 21, 19, 161, 325,
    389, 1067, 525, 529, 277, 13775, 52265, 1, 1, 5, 13, 21, 17, 77, 191, 329,
    627, 1857, 1705, 2207, 5329, 29833, 1523, 1, 3, 3, 1, 21, 3, 107, 85, 29,
    887, 793, 1089, 1361, 10361, 15869, 1659, 1, 1, 1, 15, 11, 47, 85, 137, 373,
    777, 875, 2735, 4381, 8831, 5891, 44809, 1, 1, 1, 11, 19, 9, 77, 59, 497,
    643, 51, 3115, 7267, 11927, 28119, 28151, 1, 3, 1, 3, 13, 27, 55, 201, 319,
    167, 1435, 2197, 5049, 5923, 12759, 62383, 1, 3, 1, 3, 23, 43, 45, 193, 221,
    647, 1933, 2915, 6461, 4927, 22105, 54557, 1, 1, 5, 11, 5, 23, 67, 59, 79,
    507, 925, 3015, 317, 3887, 29967, 17205, 1, 3, 7, 7, 19, 39, 51, 159, 485,
    315, 1739, 2617, 8017, 11655, 1141, 26055, 1, 1, 3, 1, 27, 53, 119, 113, 135,
    85, 2023, 1659, 307, 8189, 28339, 53297, 1, 3, 3, 5, 9, 61, 57, 225, 137,
    381, 1045, 1253, 1185, 9885, 30153, 29355, 1, 1, 3, 5, 19, 9, 87, 87, 393,
    421, 1941, 57, 2483, 10855, 26741, 28091, 1, 1, 7, 5, 3, 35, 35, 137, 123,
    327, 933, 3429, 281, 1705, 17123, 29337, 1, 3, 7, 13, 9, 61, 111, 207, 45,
    57, 1093, 2223, 575, 11959, 21147, 30273, 1, 1, 5, 5, 31, 37, 123, 5, 277,
    273, 525, 1773, 2685, 11607, 32079, 25199, 1, 1, 7, 11, 5, 29, 121, 193, 437,
    417, 1521, 3057, 4681, 2773, 5391, 59747, 1, 3, 7, 11, 27, 3, 103, 17, 395,
    695, 1731, 4055, 2727, 2171, 26893, 7047, 1, 3, 7, 5, 23, 9, 25, 167, 241,
    755, 1789, 1977, 6325, 5425, 23247, 64181,
];