lhr01/

lhr01.rs

const ANSWER: f64 = 1.0;

fn main() {
    env_logger::init();

    // Compute the matrix and right-hand-side vector that define
    // the linear system, Ax = b.
    let (n, rowind, colst, nz) = lhr01();

    // Set exact solution; then compute right-hand-side vector.
    let x0 = vec![ANSWER; n as usize];

    // let opts = rlu::Options {
    //     expand_ratio: 2.0,
    //
    //     ..rlu::Options::default()
    // };

    let mut b = mat_vec(n, &rowind, &colst, &nz, &x0);

    let mut gp = lufact::GP::default();
    gp.expand_ratio = 2.0;

    let mut a_desc = lufact::CSC {
        m: n,
        n,
        nnz: nz.len() as i32,
        base: 0,
        colptr: colst,
        rowind,
    };

    let mut lu = lufact::dgstrf(&gp, n, n, &nz, &mut a_desc /*, &lu*/).unwrap();
    // let lu = rlu::factor(n, &rowind, &colst, &nz, None, &opts).unwrap();

    // rlu::solve(&lu, &mut b, false).unwrap();
    let _ierr = lufact::dgstrs(&gp, 'N', n, 1, &mut lu, 1, 1, &mut b, 1, 1);

    let resid = residual(&b);
    assert!(resid < 1e-10);
    println!("resid = {}", resid);
}

fn mat_vec(n: i32, rowind: &[i32], colst: &[i32], nz: &[f64], x: &[f64]) -> Vec<f64> {
    let mut y = vec![0.0; n as usize];
    for j in 0..n {
        let start = colst[j as usize];
        let end = colst[(j + 1) as usize];

        for ii in start..end {
            let i = rowind[ii as usize];
            y[i as usize] += nz[ii as usize] * x[j as usize];
        }
    }
    y
}

fn residual(x: &[f64]) -> f64 {
    let mut norm = f64::NEG_INFINITY;
    for i in 0..x.len() {
        //let abs = (x[i] - b[i]).abs();
        let abs = (x[i] - ANSWER).abs();
        if abs > norm {
            norm = abs;
        }
    }
    norm
}

fn lhr01() -> (i32, Vec<i32>, Vec<i32>, Vec<f64>) {
    let n: i32 = 1477;

    let rowind = vec![
        0, 62, 83, 84, 1, 63, 83, 84, 2, 64, 83, 84, 3, 65, 83, 84, 4, 66, 83, 84, 5, 67, 83, 84,
        6, 68, 83, 84, 7, 69, 83, 84, 8, 70, 83, 84, 9, 71, 83, 84, 10, 72, 83, 84, 11, 73, 83, 84,
        12, 74, 83, 84, 13, 75, 83, 84, 14, 76, 83, 84, 15, 77, 83, 84, 16, 78, 83, 84, 17, 79, 83,
        84, 18, 80, 83, 84, 19, 83, 84, 61, 83, 20, 84, 21, 84, 87, 84, 88, 62, 81, 82, 90, 63, 81,
        82, 91, 64, 81, 82, 92, 65, 81, 82, 93, 66, 81, 82, 94, 67, 81, 82, 95, 68, 81, 82, 96, 69,
        81, 82, 97, 70, 81, 82, 98, 71, 81, 82, 99, 72, 81, 82, 100, 73, 81, 82, 101, 74, 81, 82,
        102, 75, 81, 82, 103, 76, 81, 82, 104, 77, 81, 82, 105, 78, 81, 82, 106, 79, 81, 82, 107,
        80, 81, 82, 108, 81, 82, 61, 81, 89, 82, 82, 87, 111, 82, 88, 112, 90, 109, 110, 114, 91,
        109, 110, 115, 92, 109, 110, 116, 93, 109, 110, 117, 94, 109, 110, 118, 95, 109, 110, 119,
        96, 109, 110, 120, 97, 109, 110, 121, 98, 109, 110, 122, 99, 109, 110, 123, 100, 109, 110,
        124, 101, 109, 110, 125, 102, 109, 110, 126, 103, 109, 110, 127, 104, 109, 110, 128, 105,
        109, 110, 129, 106, 109, 110, 130, 107, 109, 110, 131, 108, 109, 110, 132, 109, 110, 89,
        109, 113, 22, 110, 110, 111, 135, 110, 112, 162, 114, 133, 134, 164, 115, 133, 134, 165,
        116, 133, 134, 166, 117, 133, 134, 167, 118, 133, 134, 168, 119, 133, 134, 169, 120, 133,
        134, 170, 121, 133, 134, 171, 122, 133, 134, 172, 123, 133, 134, 173, 124, 133, 134, 174,
        125, 133, 134, 175, 126, 133, 134, 176, 127, 133, 134, 177, 128, 133, 134, 178, 129, 133,
        134, 179, 130, 133, 134, 180, 131, 133, 134, 181, 132, 133, 134, 182, 133, 134, 113, 133,
        163, 134, 161, 184, 134, 135, 185, 134, 162, 186, 164, 183, 188, 165, 183, 189, 166, 183,
        190, 167, 183, 191, 168, 183, 192, 169, 183, 193, 170, 183, 194, 171, 183, 195, 172, 183,
        196, 173, 183, 197, 174, 183, 198, 175, 183, 199, 176, 183, 200, 177, 183, 201, 178, 183,
        202, 179, 183, 203, 180, 183, 204, 181, 183, 205, 182, 183, 206, 183, 163, 183, 187, 184,
        23, 185, 186, 211, 137, 156, 157, 188, 212, 213, 214, 216, 218, 220, 222, 224, 226, 228,
        230, 232, 234, 236, 238, 240, 242, 244, 246, 248, 250, 138, 156, 157, 189, 212, 214, 215,
        216, 218, 220, 222, 224, 226, 228, 230, 232, 234, 236, 238, 240, 242, 244, 246, 248, 250,
        139, 156, 157, 190, 212, 214, 216, 217, 218, 220, 222, 224, 226, 228, 230, 232, 234, 236,
        238, 240, 242, 244, 246, 248, 250, 140, 156, 157, 191, 212, 214, 216, 218, 219, 220, 222,
        224, 226, 228, 230, 232, 234, 236, 238, 240, 242, 244, 246, 248, 250, 141, 156, 157, 192,
        212, 214, 216, 218, 220, 221, 222, 224, 226, 228, 230, 232, 234, 236, 238, 240, 242, 244,
        246, 248, 250, 142, 156, 157, 193, 212, 214, 216, 218, 220, 222, 223, 224, 226, 228, 230,
        232, 234, 236, 238, 240, 242, 244, 246, 248, 250, 143, 156, 157, 194, 212, 214, 216, 218,
        220, 222, 224, 225, 226, 228, 230, 232, 234, 236, 238, 240, 242, 244, 246, 248, 250, 144,
        156, 157, 195, 212, 214, 216, 218, 220, 222, 224, 226, 227, 228, 230, 232, 234, 236, 238,
        240, 242, 244, 246, 248, 250, 145, 156, 157, 196, 212, 214, 216, 218, 220, 222, 224, 226,
        228, 229, 230, 232, 234, 236, 238, 240, 242, 244, 246, 248, 250, 146, 156, 157, 197, 212,
        214, 216, 218, 220, 222, 224, 226, 228, 230, 231, 232, 234, 236, 238, 240, 242, 244, 246,
        248, 250, 147, 156, 157, 198, 212, 214, 216, 218, 220, 222, 224, 226, 228, 230, 232, 233,
        234, 236, 238, 240, 242, 244, 246, 248, 250, 148, 156, 157, 199, 212, 214, 216, 218, 220,
        222, 224, 226, 228, 230, 232, 234, 235, 236, 238, 240, 242, 244, 246, 248, 250, 149, 156,
        157, 200, 212, 214, 216, 218, 220, 222, 224, 226, 228, 230, 232, 234, 236, 237, 238, 240,
        242, 244, 246, 248, 250, 150, 156, 157, 201, 212, 214, 216, 218, 220, 222, 224, 226, 228,
        230, 232, 234, 236, 238, 239, 240, 242, 244, 246, 248, 250, 151, 156, 157, 202, 212, 214,
        216, 218, 220, 222, 224, 226, 228, 230, 232, 234, 236, 238, 240, 241, 242, 244, 246, 248,
        250, 152, 156, 157, 203, 212, 214, 216, 218, 220, 222, 224, 226, 228, 230, 232, 234, 236,
        238, 240, 242, 243, 244, 246, 248, 250, 153, 156, 157, 204, 212, 214, 216, 218, 220, 222,
        224, 226, 228, 230, 232, 234, 236, 238, 240, 242, 244, 245, 246, 248, 250, 154, 156, 157,
        205, 212, 214, 216, 218, 220, 222, 224, 226, 228, 230, 232, 234, 236, 238, 240, 242, 244,
        246, 247, 248, 250, 155, 156, 157, 206, 212, 214, 216, 218, 220, 222, 224, 226, 228, 230,
        232, 234, 236, 238, 240, 242, 244, 246, 248, 249, 250, 156, 157, 212, 214, 216, 218, 220,
        222, 224, 226, 228, 230, 232, 234, 236, 238, 240, 242, 244, 246, 248, 250, 251, 136, 156,
        187, 213, 215, 217, 219, 221, 223, 225, 227, 229, 231, 233, 235, 237, 239, 241, 243, 245,
        247, 249, 251, 24, 157, 209, 212, 214, 216, 218, 220, 222, 224, 226, 228, 230, 232, 234,
        236, 238, 240, 242, 244, 246, 248, 250, 25, 157, 160, 210, 212, 214, 216, 218, 220, 222,
        224, 226, 228, 230, 232, 234, 236, 238, 240, 242, 244, 246, 248, 250, 157, 162, 211, 188,
        207, 208, 212, 213, 214, 216, 218, 220, 222, 224, 226, 228, 230, 232, 234, 236, 238, 240,
        242, 244, 246, 248, 250, 253, 189, 207, 208, 212, 214, 215, 216, 218, 220, 222, 224, 226,
        228, 230, 232, 234, 236, 238, 240, 242, 244, 246, 248, 250, 254, 190, 207, 208, 212, 214,
        216, 217, 218, 220, 222, 224, 226, 228, 230, 232, 234, 236, 238, 240, 242, 244, 246, 248,
        250, 255, 191, 207, 208, 212, 214, 216, 218, 219, 220, 222, 224, 226, 228, 230, 232, 234,
        236, 238, 240, 242, 244, 246, 248, 250, 256, 192, 207, 208, 212, 214, 216, 218, 220, 221,
        222, 224, 226, 228, 230, 232, 234, 236, 238, 240, 242, 244, 246, 248, 250, 257, 193, 207,
        208, 212, 214, 216, 218, 220, 222, 223, 224, 226, 228, 230, 232, 234, 236, 238, 240, 242,
        244, 246, 248, 250, 258, 194, 207, 208, 212, 214, 216, 218, 220, 222, 224, 225, 226, 228,
        230, 232, 234, 236, 238, 240, 242, 244, 246, 248, 250, 259, 195, 207, 208, 212, 214, 216,
        218, 220, 222, 224, 226, 227, 228, 230, 232, 234, 236, 238, 240, 242, 244, 246, 248, 250,
        260, 196, 207, 208, 212, 214, 216, 218, 220, 222, 224, 226, 228, 229, 230, 232, 234, 236,
        238, 240, 242, 244, 246, 248, 250, 261, 197, 207, 208, 212, 214, 216, 218, 220, 222, 224,
        226, 228, 230, 231, 232, 234, 236, 238, 240, 242, 244, 246, 248, 250, 262, 198, 207, 208,
        212, 214, 216, 218, 220, 222, 224, 226, 228, 230, 232, 233, 234, 236, 238, 240, 242, 244,
        246, 248, 250, 263, 199, 207, 208, 212, 214, 216, 218, 220, 222, 224, 226, 228, 230, 232,
        234, 235, 236, 238, 240, 242, 244, 246, 248, 250, 264, 200, 207, 208, 212, 214, 216, 218,
        220, 222, 224, 226, 228, 230, 232, 234, 236, 237, 238, 240, 242, 244, 246, 248, 250, 265,
        201, 207, 208, 212, 214, 216, 218, 220, 222, 224, 226, 228, 230, 232, 234, 236, 238, 239,
        240, 242, 244, 246, 248, 250, 266, 202, 207, 208, 212, 214, 216, 218, 220, 222, 224, 226,
        228, 230, 232, 234, 236, 238, 240, 241, 242, 244, 246, 248, 250, 267, 203, 207, 208, 212,
        214, 216, 218, 220, 222, 224, 226, 228, 230, 232, 234, 236, 238, 240, 242, 243, 244, 246,
        248, 250, 268, 204, 207, 208, 212, 214, 216, 218, 220, 222, 224, 226, 228, 230, 232, 234,
        236, 238, 240, 242, 244, 245, 246, 248, 250, 269, 205, 207, 208, 212, 214, 216, 218, 220,
        222, 224, 226, 228, 230, 232, 234, 236, 238, 240, 242, 244, 246, 247, 248, 250, 270, 206,
        207, 208, 212, 214, 216, 218, 220, 222, 224, 226, 228, 230, 232, 234, 236, 238, 240, 242,
        244, 246, 248, 249, 250, 271, 207, 208, 212, 214, 216, 218, 220, 222, 224, 226, 228, 230,
        232, 234, 236, 238, 240, 242, 244, 246, 248, 250, 251, 187, 207, 213, 215, 217, 219, 221,
        223, 225, 227, 229, 231, 233, 235, 237, 239, 241, 243, 245, 247, 249, 251, 252, 208, 209,
        208, 210, 274, 208, 211, 301, 253, 272, 273, 303, 254, 272, 273, 304, 255, 272, 273, 305,
        256, 272, 273, 306, 257, 272, 273, 307, 258, 272, 273, 308, 259, 272, 273, 309, 260, 272,
        273, 310, 261, 272, 273, 311, 262, 272, 273, 312, 263, 272, 273, 313, 264, 272, 273, 314,
        265, 272, 273, 315, 266, 272, 273, 316, 267, 272, 273, 317, 268, 272, 273, 318, 269, 272,
        273, 319, 270, 272, 273, 320, 271, 272, 273, 321, 272, 273, 252, 272, 302, 273, 300, 323,
        273, 274, 324, 273, 301, 325, 303, 322, 327, 304, 322, 328, 305, 322, 329, 306, 322, 330,
        307, 322, 331, 308, 322, 332, 309, 322, 333, 310, 322, 334, 311, 322, 335, 312, 322, 336,
        313, 322, 337, 314, 322, 338, 315, 322, 339, 316, 322, 340, 317, 322, 341, 318, 322, 342,
        319, 322, 343, 320, 322, 344, 321, 322, 345, 322, 302, 322, 326, 323, 26, 324, 325, 350,
        276, 295, 296, 327, 351, 352, 353, 355, 357, 359, 361, 363, 365, 367, 369, 371, 373, 375,
        377, 379, 381, 383, 385, 387, 389, 277, 295, 296, 328, 351, 353, 354, 355, 357, 359, 361,
        363, 365, 367, 369, 371, 373, 375, 377, 379, 381, 383, 385, 387, 389, 278, 295, 296, 329,
        351, 353, 355, 356, 357, 359, 361, 363, 365, 367, 369, 371, 373, 375, 377, 379, 381, 383,
        385, 387, 389, 279, 295, 296, 330, 351, 353, 355, 357, 358, 359, 361, 363, 365, 367, 369,
        371, 373, 375, 377, 379, 381, 383, 385, 387, 389, 280, 295, 296, 331, 351, 353, 355, 357,
        359, 360, 361, 363, 365, 367, 369, 371, 373, 375, 377, 379, 381, 383, 385, 387, 389, 281,
        295, 296, 332, 351, 353, 355, 357, 359, 361, 362, 363, 365, 367, 369, 371, 373, 375, 377,
        379, 381, 383, 385, 387, 389, 282, 295, 296, 333, 351, 353, 355, 357, 359, 361, 363, 364,
        365, 367, 369, 371, 373, 375, 377, 379, 381, 383, 385, 387, 389, 283, 295, 296, 334, 351,
        353, 355, 357, 359, 361, 363, 365, 366, 367, 369, 371, 373, 375, 377, 379, 381, 383, 385,
        387, 389, 284, 295, 296, 335, 351, 353, 355, 357, 359, 361, 363, 365, 367, 368, 369, 371,
        373, 375, 377, 379, 381, 383, 385, 387, 389, 285, 295, 296, 336, 351, 353, 355, 357, 359,
        361, 363, 365, 367, 369, 370, 371, 373, 375, 377, 379, 381, 383, 385, 387, 389, 286, 295,
        296, 337, 351, 353, 355, 357, 359, 361, 363, 365, 367, 369, 371, 372, 373, 375, 377, 379,
        381, 383, 385, 387, 389, 287, 295, 296, 338, 351, 353, 355, 357, 359, 361, 363, 365, 367,
        369, 371, 373, 374, 375, 377, 379, 381, 383, 385, 387, 389, 288, 295, 296, 339, 351, 353,
        355, 357, 359, 361, 363, 365, 367, 369, 371, 373, 375, 376, 377, 379, 381, 383, 385, 387,
        389, 289, 295, 296, 340, 351, 353, 355, 357, 359, 361, 363, 365, 367, 369, 371, 373, 375,
        377, 378, 379, 381, 383, 385, 387, 389, 290, 295, 296, 341, 351, 353, 355, 357, 359, 361,
        363, 365, 367, 369, 371, 373, 375, 377, 379, 380, 381, 383, 385, 387, 389, 291, 295, 296,
        342, 351, 353, 355, 357, 359, 361, 363, 365, 367, 369, 371, 373, 375, 377, 379, 381, 382,
        383, 385, 387, 389, 292, 295, 296, 343, 351, 353, 355, 357, 359, 361, 363, 365, 367, 369,
        371, 373, 375, 377, 379, 381, 383, 384, 385, 387, 389, 293, 295, 296, 344, 351, 353, 355,
        357, 359, 361, 363, 365, 367, 369, 371, 373, 375, 377, 379, 381, 383, 385, 386, 387, 389,
        294, 295, 296, 345, 351, 353, 355, 357, 359, 361, 363, 365, 367, 369, 371, 373, 375, 377,
        379, 381, 383, 385, 387, 388, 389, 295, 296, 351, 353, 355, 357, 359, 361, 363, 365, 367,
        369, 371, 373, 375, 377, 379, 381, 383, 385, 387, 389, 390, 275, 295, 326, 352, 354, 356,
        358, 360, 362, 364, 366, 368, 370, 372, 374, 376, 378, 380, 382, 384, 386, 388, 390, 27,
        296, 348, 351, 353, 355, 357, 359, 361, 363, 365, 367, 369, 371, 373, 375, 377, 379, 381,
        383, 385, 387, 389, 28, 296, 299, 349, 351, 353, 355, 357, 359, 361, 363, 365, 367, 369,
        371, 373, 375, 377, 379, 381, 383, 385, 387, 389, 296, 301, 350, 327, 346, 347, 351, 352,
        353, 355, 357, 359, 361, 363, 365, 367, 369, 371, 373, 375, 377, 379, 381, 383, 385, 387,
        389, 392, 328, 346, 347, 351, 353, 354, 355, 357, 359, 361, 363, 365, 367, 369, 371, 373,
        375, 377, 379, 381, 383, 385, 387, 389, 393, 329, 346, 347, 351, 353, 355, 356, 357, 359,
        361, 363, 365, 367, 369, 371, 373, 375, 377, 379, 381, 383, 385, 387, 389, 394, 330, 346,
        347, 351, 353, 355, 357, 358, 359, 361, 363, 365, 367, 369, 371, 373, 375, 377, 379, 381,
        383, 385, 387, 389, 395, 331, 346, 347, 351, 353, 355, 357, 359, 360, 361, 363, 365, 367,
        369, 371, 373, 375, 377, 379, 381, 383, 385, 387, 389, 396, 332, 346, 347, 351, 353, 355,
        357, 359, 361, 362, 363, 365, 367, 369, 371, 373, 375, 377, 379, 381, 383, 385, 387, 389,
        397, 333, 346, 347, 351, 353, 355, 357, 359, 361, 363, 364, 365, 367, 369, 371, 373, 375,
        377, 379, 381, 383, 385, 387, 389, 398, 334, 346, 347, 351, 353, 355, 357, 359, 361, 363,
        365, 366, 367, 369, 371, 373, 375, 377, 379, 381, 383, 385, 387, 389, 399, 335, 346, 347,
        351, 353, 355, 357, 359, 361, 363, 365, 367, 368, 369, 371, 373, 375, 377, 379, 381, 383,
        385, 387, 389, 400, 336, 346, 347, 351, 353, 355, 357, 359, 361, 363, 365, 367, 369, 370,
        371, 373, 375, 377, 379, 381, 383, 385, 387, 389, 401, 337, 346, 347, 351, 353, 355, 357,
        359, 361, 363, 365, 367, 369, 371, 372, 373, 375, 377, 379, 381, 383, 385, 387, 389, 402,
        338, 346, 347, 351, 353, 355, 357, 359, 361, 363, 365, 367, 369, 371, 373, 374, 375, 377,
        379, 381, 383, 385, 387, 389, 403, 339, 346, 347, 351, 353, 355, 357, 359, 361, 363, 365,
        367, 369, 371, 373, 375, 376, 377, 379, 381, 383, 385, 387, 389, 404, 340, 346, 347, 351,
        353, 355, 357, 359, 361, 363, 365, 367, 369, 371, 373, 375, 377, 378, 379, 381, 383, 385,
        387, 389, 405, 341, 346, 347, 351, 353, 355, 357, 359, 361, 363, 365, 367, 369, 371, 373,
        375, 377, 379, 380, 381, 383, 385, 387, 389, 406, 342, 346, 347, 351, 353, 355, 357, 359,
        361, 363, 365, 367, 369, 371, 373, 375, 377, 379, 381, 382, 383, 385, 387, 389, 407, 343,
        346, 347, 351, 353, 355, 357, 359, 361, 363, 365, 367, 369, 371, 373, 375, 377, 379, 381,
        383, 384, 385, 387, 389, 408, 344, 346, 347, 351, 353, 355, 357, 359, 361, 363, 365, 367,
        369, 371, 373, 375, 377, 379, 381, 383, 385, 386, 387, 389, 409, 345, 346, 347, 351, 353,
        355, 357, 359, 361, 363, 365, 367, 369, 371, 373, 375, 377, 379, 381, 383, 385, 387, 388,
        389, 410, 346, 347, 351, 353, 355, 357, 359, 361, 363, 365, 367, 369, 371, 373, 375, 377,
        379, 381, 383, 385, 387, 389, 390, 326, 346, 352, 354, 356, 358, 360, 362, 364, 366, 368,
        370, 372, 374, 376, 378, 380, 382, 384, 386, 388, 390, 391, 347, 348, 412, 347, 349, 413,
        347, 350, 414, 392, 411, 416, 393, 411, 417, 394, 411, 418, 395, 411, 419, 396, 411, 420,
        397, 411, 421, 398, 411, 422, 399, 411, 423, 400, 411, 424, 401, 411, 425, 402, 411, 426,
        403, 411, 427, 404, 411, 428, 405, 411, 429, 406, 411, 430, 407, 411, 431, 408, 411, 432,
        409, 411, 433, 410, 411, 434, 411, 391, 411, 415, 412, 29, 413, 414, 441, 137, 158, 159,
        1408, 138, 158, 159, 1409, 139, 158, 159, 1410, 140, 158, 159, 1411, 141, 158, 159, 1412,
        142, 158, 159, 1413, 143, 158, 159, 1414, 144, 158, 159, 1415, 145, 158, 159, 1416, 146,
        158, 159, 1417, 147, 158, 159, 1418, 148, 158, 159, 1419, 149, 158, 159, 1420, 150, 158,
        159, 1421, 151, 158, 159, 1422, 152, 158, 159, 1423, 153, 158, 159, 1424, 154, 158, 159,
        1425, 155, 158, 159, 1426, 158, 159, 136, 158, 1407, 159, 161, 159, 160, 1429, 159, 162,
        1430, 276, 297, 298, 1408, 277, 297, 298, 1409, 278, 297, 298, 1410, 279, 297, 298, 1411,
        280, 297, 298, 1412, 281, 297, 298, 1413, 282, 297, 298, 1414, 283, 297, 298, 1415, 284,
        297, 298, 1416, 285, 297, 298, 1417, 286, 297, 298, 1418, 287, 297, 298, 1419, 288, 297,
        298, 1420, 289, 297, 298, 1421, 290, 297, 298, 1422, 291, 297, 298, 1423, 292, 297, 298,
        1424, 293, 297, 298, 1425, 294, 297, 298, 1426, 297, 298, 275, 297, 1407, 298, 300, 298,
        299, 1429, 298, 301, 1430, 1408, 1427, 1428, 1453, 1409, 1427, 1428, 1454, 1410, 1427,
        1428, 1455, 1411, 1427, 1428, 1456, 1412, 1427, 1428, 1457, 1413, 1427, 1428, 1458, 1414,
        1427, 1428, 1459, 1415, 1427, 1428, 1460, 1416, 1427, 1428, 1461, 1417, 1427, 1428, 1462,
        1418, 1427, 1428, 1463, 1419, 1427, 1428, 1464, 1420, 1427, 1428, 1465, 1421, 1427, 1428,
        1466, 1422, 1427, 1428, 1467, 1423, 1427, 1428, 1468, 1424, 1427, 1428, 1469, 1425, 1427,
        1428, 1470, 1426, 1427, 1428, 1471, 1427, 1428, 1407, 1427, 1452, 1428, 1428, 1429, 1474,
        1428, 1430, 1476, 1453, 1472, 1473, 1454, 1472, 1473, 1455, 1472, 1473, 1456, 1472, 1473,
        1457, 1472, 1473, 1458, 1472, 1473, 1459, 1472, 1473, 1460, 1472, 1473, 1461, 1472, 1473,
        1462, 1472, 1473, 1463, 1472, 1473, 1464, 1472, 1473, 1465, 1472, 1473, 1466, 1472, 1473,
        1467, 1472, 1473, 1468, 1472, 1473, 1469, 1472, 1473, 1470, 1472, 1473, 1471, 1472, 1473,
        1472, 1473, 1452, 1472, 1473, 1475, 1473, 1474, 1473, 1476, 1270, 1289, 1290, 1294, 1295,
        1296, 1298, 1300, 1302, 1304, 1306, 1308, 1310, 1312, 1314, 1316, 1318, 1320, 1322, 1324,
        1326, 1328, 1330, 1332, 1335, 1356, 1271, 1289, 1290, 1294, 1296, 1297, 1298, 1300, 1302,
        1304, 1306, 1308, 1310, 1312, 1314, 1316, 1318, 1320, 1322, 1324, 1326, 1328, 1330, 1332,
        1336, 1357, 1272, 1289, 1290, 1294, 1296, 1298, 1299, 1300, 1302, 1304, 1306, 1308, 1310,
        1312, 1314, 1316, 1318, 1320, 1322, 1324, 1326, 1328, 1330, 1332, 1337, 1358, 1273, 1289,
        1290, 1294, 1296, 1298, 1300, 1301, 1302, 1304, 1306, 1308, 1310, 1312, 1314, 1316, 1318,
        1320, 1322, 1324, 1326, 1328, 1330, 1332, 1338, 1359, 1274, 1289, 1290, 1294, 1296, 1298,
        1300, 1302, 1303, 1304, 1306, 1308, 1310, 1312, 1314, 1316, 1318, 1320, 1322, 1324, 1326,
        1328, 1330, 1332, 1339, 1360, 1275, 1289, 1290, 1294, 1296, 1298, 1300, 1302, 1304, 1305,
        1306, 1308, 1310, 1312, 1314, 1316, 1318, 1320, 1322, 1324, 1326, 1328, 1330, 1332, 1340,
        1361, 1276, 1289, 1290, 1294, 1296, 1298, 1300, 1302, 1304, 1306, 1307, 1308, 1310, 1312,
        1314, 1316, 1318, 1320, 1322, 1324, 1326, 1328, 1330, 1332, 1341, 1362, 1277, 1289, 1290,
        1294, 1296, 1298, 1300, 1302, 1304, 1306, 1308, 1309, 1310, 1312, 1314, 1316, 1318, 1320,
        1322, 1324, 1326, 1328, 1330, 1332, 1342, 1363, 1278, 1289, 1290, 1294, 1296, 1298, 1300,
        1302, 1304, 1306, 1308, 1310, 1311, 1312, 1314, 1316, 1318, 1320, 1322, 1324, 1326, 1328,
        1330, 1332, 1343, 1364, 1279, 1289, 1290, 1294, 1296, 1298, 1300, 1302, 1304, 1306, 1308,
        1310, 1312, 1313, 1314, 1316, 1318, 1320, 1322, 1324, 1326, 1328, 1330, 1332, 1344, 1365,
        1280, 1289, 1290, 1294, 1296, 1298, 1300, 1302, 1304, 1306, 1308, 1310, 1312, 1314, 1315,
        1316, 1318, 1320, 1322, 1324, 1326, 1328, 1330, 1332, 1345, 1366, 1281, 1289, 1290, 1294,
        1296, 1298, 1300, 1302, 1304, 1306, 1308, 1310, 1312, 1314, 1316, 1317, 1318, 1320, 1322,
        1324, 1326, 1328, 1330, 1332, 1346, 1367, 1282, 1289, 1290, 1294, 1296, 1298, 1300, 1302,
        1304, 1306, 1308, 1310, 1312, 1314, 1316, 1318, 1319, 1320, 1322, 1324, 1326, 1328, 1330,
        1332, 1347, 1368, 1283, 1289, 1290, 1294, 1296, 1298, 1300, 1302, 1304, 1306, 1308, 1310,
        1312, 1314, 1316, 1318, 1320, 1321, 1322, 1324, 1326, 1328, 1330, 1332, 1348, 1369, 1284,
        1289, 1290, 1294, 1296, 1298, 1300, 1302, 1304, 1306, 1308, 1310, 1312, 1314, 1316, 1318,
        1320, 1322, 1323, 1324, 1326, 1328, 1330, 1332, 1349, 1370, 1285, 1289, 1290, 1294, 1296,
        1298, 1300, 1302, 1304, 1306, 1308, 1310, 1312, 1314, 1316, 1318, 1320, 1322, 1324, 1325,
        1326, 1328, 1330, 1332, 1350, 1371, 1286, 1289, 1290, 1294, 1296, 1298, 1300, 1302, 1304,
        1306, 1308, 1310, 1312, 1314, 1316, 1318, 1320, 1322, 1324, 1326, 1327, 1328, 1330, 1332,
        1351, 1372, 1287, 1289, 1290, 1294, 1296, 1298, 1300, 1302, 1304, 1306, 1308, 1310, 1312,
        1314, 1316, 1318, 1320, 1322, 1324, 1326, 1328, 1329, 1330, 1332, 1352, 1373, 1288, 1289,
        1290, 1294, 1296, 1298, 1300, 1302, 1304, 1306, 1308, 1310, 1312, 1314, 1316, 1318, 1320,
        1322, 1324, 1326, 1328, 1330, 1331, 1332, 1353, 1374, 1289, 1290, 1294, 1296, 1298, 1300,
        1302, 1304, 1306, 1308, 1310, 1312, 1314, 1316, 1318, 1320, 1322, 1324, 1326, 1328, 1330,
        1332, 1333, 1375, 1269, 1289, 1295, 1297, 1299, 1301, 1303, 1305, 1307, 1309, 1311, 1313,
        1315, 1317, 1319, 1321, 1323, 1325, 1327, 1329, 1331, 1333, 1334, 1290, 1291, 1379, 1380,
        1290, 1292, 1381, 1382, 1290, 1293, 1376, 1378, 1335, 1354, 1336, 1354, 1337, 1354, 1338,
        1354, 1339, 1354, 1340, 1354, 1341, 1354, 1342, 1354, 1343, 1354, 1344, 1354, 1345, 1354,
        1346, 1354, 1347, 1354, 1348, 1354, 1349, 1354, 1350, 1354, 1351, 1354, 1352, 1354, 1353,
        1354, 1354, 1334, 1354, 1379, 1381, 1378, 1335, 1355, 1356, 1384, 1336, 1355, 1357, 1385,
        1337, 1355, 1358, 1386, 1338, 1355, 1359, 1387, 1339, 1355, 1360, 1388, 1340, 1355, 1361,
        1389, 1341, 1355, 1362, 1390, 1342, 1355, 1363, 1391, 1343, 1355, 1364, 1392, 1344, 1355,
        1365, 1393, 1345, 1355, 1366, 1394, 1346, 1355, 1367, 1395, 1347, 1355, 1368, 1396, 1348,
        1355, 1369, 1397, 1349, 1355, 1370, 1398, 1350, 1355, 1371, 1399, 1351, 1355, 1372, 1400,
        1352, 1355, 1373, 1401, 1353, 1355, 1374, 1402, 1355, 1375, 1334, 1355, 1383, 1380, 1382,
        1405, 1376, 1378, 1406, 1384, 1403, 1404, 1432, 1385, 1403, 1404, 1433, 1386, 1403, 1404,
        1434, 1387, 1403, 1404, 1435, 1388, 1403, 1404, 1436, 1389, 1403, 1404, 1437, 1390, 1403,
        1404, 1438, 1391, 1403, 1404, 1439, 1392, 1403, 1404, 1440, 1393, 1403, 1404, 1441, 1394,
        1403, 1404, 1442, 1395, 1403, 1404, 1443, 1396, 1403, 1404, 1444, 1397, 1403, 1404, 1445,
        1398, 1403, 1404, 1446, 1399, 1403, 1404, 1447, 1400, 1403, 1404, 1448, 1401, 1403, 1404,
        1449, 1402, 1403, 1404, 1450, 1403, 1404, 1383, 1403, 1431, 56, 1404, 1404, 1405, 1451,
        1404, 1406, 1476, 62, 85, 86, 1432, 63, 85, 86, 1433, 64, 85, 86, 1434, 65, 85, 86, 1435,
        66, 85, 86, 1436, 67, 85, 86, 1437, 68, 85, 86, 1438, 69, 85, 86, 1439, 70, 85, 86, 1440,
        71, 85, 86, 1441, 72, 85, 86, 1442, 73, 85, 86, 1443, 74, 85, 86, 1444, 75, 85, 86, 1445,
        76, 85, 86, 1446, 77, 85, 86, 1447, 78, 85, 86, 1448, 79, 85, 86, 1449, 80, 85, 86, 1450,
        85, 86, 61, 85, 1431, 86, 1475, 86, 87, 1451, 86, 88, 1476, 416, 435, 436, 442, 443, 444,
        446, 448, 450, 452, 454, 456, 458, 460, 462, 464, 466, 468, 470, 472, 474, 476, 478, 480,
        483, 417, 435, 436, 442, 444, 445, 446, 448, 450, 452, 454, 456, 458, 460, 462, 464, 466,
        468, 470, 472, 474, 476, 478, 480, 484, 418, 435, 436, 442, 444, 446, 447, 448, 450, 452,
        454, 456, 458, 460, 462, 464, 466, 468, 470, 472, 474, 476, 478, 480, 485, 419, 435, 436,
        442, 444, 446, 448, 449, 450, 452, 454, 456, 458, 460, 462, 464, 466, 468, 470, 472, 474,
        476, 478, 480, 486, 420, 435, 436, 442, 444, 446, 448, 450, 451, 452, 454, 456, 458, 460,
        462, 464, 466, 468, 470, 472, 474, 476, 478, 480, 487, 421, 435, 436, 442, 444, 446, 448,
        450, 452, 453, 454, 456, 458, 460, 462, 464, 466, 468, 470, 472, 474, 476, 478, 480, 488,
        422, 435, 436, 442, 444, 446, 448, 450, 452, 454, 455, 456, 458, 460, 462, 464, 466, 468,
        470, 472, 474, 476, 478, 480, 489, 423, 435, 436, 442, 444, 446, 448, 450, 452, 454, 456,
        457, 458, 460, 462, 464, 466, 468, 470, 472, 474, 476, 478, 480, 490, 424, 435, 436, 442,
        444, 446, 448, 450, 452, 454, 456, 458, 459, 460, 462, 464, 466, 468, 470, 472, 474, 476,
        478, 480, 491, 425, 435, 436, 442, 444, 446, 448, 450, 452, 454, 456, 458, 460, 461, 462,
        464, 466, 468, 470, 472, 474, 476, 478, 480, 492, 426, 435, 436, 442, 444, 446, 448, 450,
        452, 454, 456, 458, 460, 462, 463, 464, 466, 468, 470, 472, 474, 476, 478, 480, 493, 427,
        435, 436, 442, 444, 446, 448, 450, 452, 454, 456, 458, 460, 462, 464, 465, 466, 468, 470,
        472, 474, 476, 478, 480, 494, 428, 435, 436, 442, 444, 446, 448, 450, 452, 454, 456, 458,
        460, 462, 464, 466, 467, 468, 470, 472, 474, 476, 478, 480, 495, 429, 435, 436, 442, 444,
        446, 448, 450, 452, 454, 456, 458, 460, 462, 464, 466, 468, 469, 470, 472, 474, 476, 478,
        480, 496, 430, 435, 436, 442, 444, 446, 448, 450, 452, 454, 456, 458, 460, 462, 464, 466,
        468, 470, 471, 472, 474, 476, 478, 480, 497, 431, 435, 436, 442, 444, 446, 448, 450, 452,
        454, 456, 458, 460, 462, 464, 466, 468, 470, 472, 473, 474, 476, 478, 480, 498, 432, 435,
        436, 442, 444, 446, 448, 450, 452, 454, 456, 458, 460, 462, 464, 466, 468, 470, 472, 474,
        475, 476, 478, 480, 499, 433, 435, 436, 442, 444, 446, 448, 450, 452, 454, 456, 458, 460,
        462, 464, 466, 468, 470, 472, 474, 476, 477, 478, 480, 500, 434, 435, 436, 442, 444, 446,
        448, 450, 452, 454, 456, 458, 460, 462, 464, 466, 468, 470, 472, 474, 476, 478, 479, 480,
        501, 435, 436, 442, 444, 446, 448, 450, 452, 454, 456, 458, 460, 462, 464, 466, 468, 470,
        472, 474, 476, 478, 480, 481, 415, 435, 443, 445, 447, 449, 451, 453, 455, 457, 459, 461,
        463, 465, 467, 469, 471, 473, 475, 477, 479, 481, 482, 30, 436, 439, 442, 444, 446, 448,
        450, 452, 454, 456, 458, 460, 462, 464, 466, 468, 470, 472, 474, 476, 478, 480, 31, 436,
        440, 442, 444, 446, 448, 450, 452, 454, 456, 458, 460, 462, 464, 466, 468, 470, 472, 474,
        476, 478, 480, 506, 436, 441, 507, 416, 437, 438, 442, 443, 444, 446, 448, 450, 452, 454,
        456, 458, 460, 462, 464, 466, 468, 470, 472, 474, 476, 478, 480, 911, 417, 437, 438, 442,
        444, 445, 446, 448, 450, 452, 454, 456, 458, 460, 462, 464, 466, 468, 470, 472, 474, 476,
        478, 480, 912, 418, 437, 438, 442, 444, 446, 447, 448, 450, 452, 454, 456, 458, 460, 462,
        464, 466, 468, 470, 472, 474, 476, 478, 480, 913, 419, 437, 438, 442, 444, 446, 448, 449,
        450, 452, 454, 456, 458, 460, 462, 464, 466, 468, 470, 472, 474, 476, 478, 480, 914, 420,
        437, 438, 442, 444, 446, 448, 450, 451, 452, 454, 456, 458, 460, 462, 464, 466, 468, 470,
        472, 474, 476, 478, 480, 915, 421, 437, 438, 442, 444, 446, 448, 450, 452, 453, 454, 456,
        458, 460, 462, 464, 466, 468, 470, 472, 474, 476, 478, 480, 916, 422, 437, 438, 442, 444,
        446, 448, 450, 452, 454, 455, 456, 458, 460, 462, 464, 466, 468, 470, 472, 474, 476, 478,
        480, 917, 423, 437, 438, 442, 444, 446, 448, 450, 452, 454, 456, 457, 458, 460, 462, 464,
        466, 468, 470, 472, 474, 476, 478, 480, 918, 424, 437, 438, 442, 444, 446, 448, 450, 452,
        454, 456, 458, 459, 460, 462, 464, 466, 468, 470, 472, 474, 476, 478, 480, 919, 425, 437,
        438, 442, 444, 446, 448, 450, 452, 454, 456, 458, 460, 461, 462, 464, 466, 468, 470, 472,
        474, 476, 478, 480, 920, 426, 437, 438, 442, 444, 446, 448, 450, 452, 454, 456, 458, 460,
        462, 463, 464, 466, 468, 470, 472, 474, 476, 478, 480, 921, 427, 437, 438, 442, 444, 446,
        448, 450, 452, 454, 456, 458, 460, 462, 464, 465, 466, 468, 470, 472, 474, 476, 478, 480,
        922, 428, 437, 438, 442, 444, 446, 448, 450, 452, 454, 456, 458, 460, 462, 464, 466, 467,
        468, 470, 472, 474, 476, 478, 480, 923, 429, 437, 438, 442, 444, 446, 448, 450, 452, 454,
        456, 458, 460, 462, 464, 466, 468, 469, 470, 472, 474, 476, 478, 480, 924, 430, 437, 438,
        442, 444, 446, 448, 450, 452, 454, 456, 458, 460, 462, 464, 466, 468, 470, 471, 472, 474,
        476, 478, 480, 925, 431, 437, 438, 442, 444, 446, 448, 450, 452, 454, 456, 458, 460, 462,
        464, 466, 468, 470, 472, 473, 474, 476, 478, 480, 926, 432, 437, 438, 442, 444, 446, 448,
        450, 452, 454, 456, 458, 460, 462, 464, 466, 468, 470, 472, 474, 475, 476, 478, 480, 927,
        433, 437, 438, 442, 444, 446, 448, 450, 452, 454, 456, 458, 460, 462, 464, 466, 468, 470,
        472, 474, 476, 477, 478, 480, 928, 434, 437, 438, 442, 444, 446, 448, 450, 452, 454, 456,
        458, 460, 462, 464, 466, 468, 470, 472, 474, 476, 478, 479, 480, 929, 437, 438, 442, 444,
        446, 448, 450, 452, 454, 456, 458, 460, 462, 464, 466, 468, 470, 472, 474, 476, 478, 480,
        481, 415, 437, 443, 445, 447, 449, 451, 453, 455, 457, 459, 461, 463, 465, 467, 469, 471,
        473, 475, 477, 479, 481, 910, 438, 439, 438, 440, 932, 438, 441, 933, 483, 502, 503, 509,
        484, 502, 503, 510, 485, 502, 503, 511, 486, 502, 503, 512, 487, 502, 503, 513, 488, 502,
        503, 514, 489, 502, 503, 515, 490, 502, 503, 516, 491, 502, 503, 517, 492, 502, 503, 518,
        493, 502, 503, 519, 494, 502, 503, 520, 495, 502, 503, 521, 496, 502, 503, 522, 497, 502,
        503, 523, 498, 502, 503, 524, 499, 502, 503, 525, 500, 502, 503, 526, 501, 502, 503, 527,
        502, 503, 482, 502, 508, 503, 503, 506, 503, 507, 536, 509, 528, 529, 578, 604, 605, 606,
        608, 610, 612, 614, 616, 618, 620, 622, 624, 626, 628, 630, 632, 634, 636, 638, 640, 642,
        510, 528, 529, 579, 604, 606, 607, 608, 610, 612, 614, 616, 618, 620, 622, 624, 626, 628,
        630, 632, 634, 636, 638, 640, 642, 511, 528, 529, 580, 604, 606, 608, 609, 610, 612, 614,
        616, 618, 620, 622, 624, 626, 628, 630, 632, 634, 636, 638, 640, 642, 512, 528, 529, 581,
        604, 606, 608, 610, 611, 612, 614, 616, 618, 620, 622, 624, 626, 628, 630, 632, 634, 636,
        638, 640, 642, 513, 528, 529, 582, 604, 606, 608, 610, 612, 613, 614, 616, 618, 620, 622,
        624, 626, 628, 630, 632, 634, 636, 638, 640, 642, 514, 528, 529, 583, 604, 606, 608, 610,
        612, 614, 615, 616, 618, 620, 622, 624, 626, 628, 630, 632, 634, 636, 638, 640, 642, 515,
        528, 529, 584, 604, 606, 608, 610, 612, 614, 616, 617, 618, 620, 622, 624, 626, 628, 630,
        632, 634, 636, 638, 640, 642, 516, 528, 529, 585, 604, 606, 608, 610, 612, 614, 616, 618,
        619, 620, 622, 624, 626, 628, 630, 632, 634, 636, 638, 640, 642, 517, 528, 529, 586, 604,
        606, 608, 610, 612, 614, 616, 618, 620, 621, 622, 624, 626, 628, 630, 632, 634, 636, 638,
        640, 642, 518, 528, 529, 587, 604, 606, 608, 610, 612, 614, 616, 618, 620, 622, 623, 624,
        626, 628, 630, 632, 634, 636, 638, 640, 642, 519, 528, 529, 588, 604, 606, 608, 610, 612,
        614, 616, 618, 620, 622, 624, 625, 626, 628, 630, 632, 634, 636, 638, 640, 642, 520, 528,
        529, 589, 604, 606, 608, 610, 612, 614, 616, 618, 620, 622, 624, 626, 627, 628, 630, 632,
        634, 636, 638, 640, 642, 521, 528, 529, 590, 604, 606, 608, 610, 612, 614, 616, 618, 620,
        622, 624, 626, 628, 629, 630, 632, 634, 636, 638, 640, 642, 522, 528, 529, 591, 604, 606,
        608, 610, 612, 614, 616, 618, 620, 622, 624, 626, 628, 630, 631, 632, 634, 636, 638, 640,
        642, 523, 528, 529, 592, 604, 606, 608, 610, 612, 614, 616, 618, 620, 622, 624, 626, 628,
        630, 632, 633, 634, 636, 638, 640, 642, 524, 528, 529, 593, 604, 606, 608, 610, 612, 614,
        616, 618, 620, 622, 624, 626, 628, 630, 632, 634, 635, 636, 638, 640, 642, 525, 528, 529,
        594, 604, 606, 608, 610, 612, 614, 616, 618, 620, 622, 624, 626, 628, 630, 632, 634, 636,
        637, 638, 640, 642, 526, 528, 529, 595, 604, 606, 608, 610, 612, 614, 616, 618, 620, 622,
        624, 626, 628, 630, 632, 634, 636, 638, 639, 640, 642, 527, 528, 529, 596, 604, 606, 608,
        610, 612, 614, 616, 618, 620, 622, 624, 626, 628, 630, 632, 634, 636, 638, 640, 641, 642,
        528, 529, 604, 606, 608, 610, 612, 614, 616, 618, 620, 622, 624, 626, 628, 630, 632, 634,
        636, 638, 640, 642, 643, 508, 528, 577, 605, 607, 609, 611, 613, 615, 617, 619, 621, 623,
        625, 627, 629, 631, 633, 635, 637, 639, 641, 643, 529, 601, 529, 602, 529, 536, 603, 509,
        530, 531, 537, 538, 539, 541, 543, 545, 547, 549, 551, 553, 555, 557, 559, 561, 563, 565,
        567, 569, 571, 573, 575, 578, 510, 530, 531, 537, 539, 540, 541, 543, 545, 547, 549, 551,
        553, 555, 557, 559, 561, 563, 565, 567, 569, 571, 573, 575, 579, 511, 530, 531, 537, 539,
        541, 542, 543, 545, 547, 549, 551, 553, 555, 557, 559, 561, 563, 565, 567, 569, 571, 573,
        575, 580, 512, 530, 531, 537, 539, 541, 543, 544, 545, 547, 549, 551, 553, 555, 557, 559,
        561, 563, 565, 567, 569, 571, 573, 575, 581, 513, 530, 531, 537, 539, 541, 543, 545, 546,
        547, 549, 551, 553, 555, 557, 559, 561, 563, 565, 567, 569, 571, 573, 575, 582, 514, 530,
        531, 537, 539, 541, 543, 545, 547, 548, 549, 551, 553, 555, 557, 559, 561, 563, 565, 567,
        569, 571, 573, 575, 583, 515, 530, 531, 537, 539, 541, 543, 545, 547, 549, 550, 551, 553,
        555, 557, 559, 561, 563, 565, 567, 569, 571, 573, 575, 584, 516, 530, 531, 537, 539, 541,
        543, 545, 547, 549, 551, 552, 553, 555, 557, 559, 561, 563, 565, 567, 569, 571, 573, 575,
        585, 517, 530, 531, 537, 539, 541, 543, 545, 547, 549, 551, 553, 554, 555, 557, 559, 561,
        563, 565, 567, 569, 571, 573, 575, 586, 518, 530, 531, 537, 539, 541, 543, 545, 547, 549,
        551, 553, 555, 556, 557, 559, 561, 563, 565, 567, 569, 571, 573, 575, 587, 519, 530, 531,
        537, 539, 541, 543, 545, 547, 549, 551, 553, 555, 557, 558, 559, 561, 563, 565, 567, 569,
        571, 573, 575, 588, 520, 530, 531, 537, 539, 541, 543, 545, 547, 549, 551, 553, 555, 557,
        559, 560, 561, 563, 565, 567, 569, 571, 573, 575, 589, 521, 530, 531, 537, 539, 541, 543,
        545, 547, 549, 551, 553, 555, 557, 559, 561, 562, 563, 565, 567, 569, 571, 573, 575, 590,
        522, 530, 531, 537, 539, 541, 543, 545, 547, 549, 551, 553, 555, 557, 559, 561, 563, 564,
        565, 567, 569, 571, 573, 575, 591, 523, 530, 531, 537, 539, 541, 543, 545, 547, 549, 551,
        553, 555, 557, 559, 561, 563, 565, 566, 567, 569, 571, 573, 575, 592, 524, 530, 531, 537,
        539, 541, 543, 545, 547, 549, 551, 553, 555, 557, 559, 561, 563, 565, 567, 568, 569, 571,
        573, 575, 593, 525, 530, 531, 537, 539, 541, 543, 545, 547, 549, 551, 553, 555, 557, 559,
        561, 563, 565, 567, 569, 570, 571, 573, 575, 594, 526, 530, 531, 537, 539, 541, 543, 545,
        547, 549, 551, 553, 555, 557, 559, 561, 563, 565, 567, 569, 571, 572, 573, 575, 595, 527,
        530, 531, 537, 539, 541, 543, 545, 547, 549, 551, 553, 555, 557, 559, 561, 563, 565, 567,
        569, 571, 573, 574, 575, 596, 530, 531, 537, 539, 541, 543, 545, 547, 549, 551, 553, 555,
        557, 559, 561, 563, 565, 567, 569, 571, 573, 575, 576, 508, 530, 538, 540, 542, 544, 546,
        548, 550, 552, 554, 556, 558, 560, 562, 564, 566, 568, 570, 572, 574, 576, 577, 32, 531,
        534, 537, 539, 541, 543, 545, 547, 549, 551, 553, 555, 557, 559, 561, 563, 565, 567, 569,
        571, 573, 575, 33, 531, 535, 537, 539, 541, 543, 545, 547, 549, 551, 553, 555, 557, 559,
        561, 563, 565, 567, 569, 571, 573, 575, 531, 536, 603, 509, 532, 533, 537, 538, 539, 541,
        543, 545, 547, 549, 551, 553, 555, 557, 559, 561, 563, 565, 567, 569, 571, 573, 575, 911,
        510, 532, 533, 537, 539, 540, 541, 543, 545, 547, 549, 551, 553, 555, 557, 559, 561, 563,
        565, 567, 569, 571, 573, 575, 912, 511, 532, 533, 537, 539, 541, 542, 543, 545, 547, 549,
        551, 553, 555, 557, 559, 561, 563, 565, 567, 569, 571, 573, 575, 913, 512, 532, 533, 537,
        539, 541, 543, 544, 545, 547, 549, 551, 553, 555, 557, 559, 561, 563, 565, 567, 569, 571,
        573, 575, 914, 513, 532, 533, 537, 539, 541, 543, 545, 546, 547, 549, 551, 553, 555, 557,
        559, 561, 563, 565, 567, 569, 571, 573, 575, 915, 514, 532, 533, 537, 539, 541, 543, 545,
        547, 548, 549, 551, 553, 555, 557, 559, 561, 563, 565, 567, 569, 571, 573, 575, 916, 515,
        532, 533, 537, 539, 541, 543, 545, 547, 549, 550, 551, 553, 555, 557, 559, 561, 563, 565,
        567, 569, 571, 573, 575, 917, 516, 532, 533, 537, 539, 541, 543, 545, 547, 549, 551, 552,
        553, 555, 557, 559, 561, 563, 565, 567, 569, 571, 573, 575, 918, 517, 532, 533, 537, 539,
        541, 543, 545, 547, 549, 551, 553, 554, 555, 557, 559, 561, 563, 565, 567, 569, 571, 573,
        575, 919, 518, 532, 533, 537, 539, 541, 543, 545, 547, 549, 551, 553, 555, 556, 557, 559,
        561, 563, 565, 567, 569, 571, 573, 575, 920, 519, 532, 533, 537, 539, 541, 543, 545, 547,
        549, 551, 553, 555, 557, 558, 559, 561, 563, 565, 567, 569, 571, 573, 575, 921, 520, 532,
        533, 537, 539, 541, 543, 545, 547, 549, 551, 553, 555, 557, 559, 560, 561, 563, 565, 567,
        569, 571, 573, 575, 922, 521, 532, 533, 537, 539, 541, 543, 545, 547, 549, 551, 553, 555,
        557, 559, 561, 562, 563, 565, 567, 569, 571, 573, 575, 923, 522, 532, 533, 537, 539, 541,
        543, 545, 547, 549, 551, 553, 555, 557, 559, 561, 563, 564, 565, 567, 569, 571, 573, 575,
        924, 523, 532, 533, 537, 539, 541, 543, 545, 547, 549, 551, 553, 555, 557, 559, 561, 563,
        565, 566, 567, 569, 571, 573, 575, 925, 524, 532, 533, 537, 539, 541, 543, 545, 547, 549,
        551, 553, 555, 557, 559, 561, 563, 565, 567, 568, 569, 571, 573, 575, 926, 525, 532, 533,
        537, 539, 541, 543, 545, 547, 549, 551, 553, 555, 557, 559, 561, 563, 565, 567, 569, 570,
        571, 573, 575, 927, 526, 532, 533, 537, 539, 541, 543, 545, 547, 549, 551, 553, 555, 557,
        559, 561, 563, 565, 567, 569, 571, 572, 573, 575, 928, 527, 532, 533, 537, 539, 541, 543,
        545, 547, 549, 551, 553, 555, 557, 559, 561, 563, 565, 567, 569, 571, 573, 574, 575, 929,
        532, 533, 537, 539, 541, 543, 545, 547, 549, 551, 553, 555, 557, 559, 561, 563, 565, 567,
        569, 571, 573, 575, 576, 508, 532, 538, 540, 542, 544, 546, 548, 550, 552, 554, 556, 558,
        560, 562, 564, 566, 568, 570, 572, 574, 576, 910, 533, 534, 533, 535, 932, 533, 536, 933,
        935, 954, 955, 1002, 1028, 1029, 1030, 1032, 1034, 1036, 1038, 1040, 1042, 1044, 1046,
        1048, 1050, 1052, 1054, 1056, 1058, 1060, 1062, 1064, 1066, 936, 954, 955, 1003, 1028,
        1030, 1031, 1032, 1034, 1036, 1038, 1040, 1042, 1044, 1046, 1048, 1050, 1052, 1054, 1056,
        1058, 1060, 1062, 1064, 1066, 937, 954, 955, 1004, 1028, 1030, 1032, 1033, 1034, 1036,
        1038, 1040, 1042, 1044, 1046, 1048, 1050, 1052, 1054, 1056, 1058, 1060, 1062, 1064, 1066,
        938, 954, 955, 1005, 1028, 1030, 1032, 1034, 1035, 1036, 1038, 1040, 1042, 1044, 1046,
        1048, 1050, 1052, 1054, 1056, 1058, 1060, 1062, 1064, 1066, 939, 954, 955, 1006, 1028,
        1030, 1032, 1034, 1036, 1037, 1038, 1040, 1042, 1044, 1046, 1048, 1050, 1052, 1054, 1056,
        1058, 1060, 1062, 1064, 1066, 940, 954, 955, 1007, 1028, 1030, 1032, 1034, 1036, 1038,
        1039, 1040, 1042, 1044, 1046, 1048, 1050, 1052, 1054, 1056, 1058, 1060, 1062, 1064, 1066,
        941, 954, 955, 1008, 1028, 1030, 1032, 1034, 1036, 1038, 1040, 1041, 1042, 1044, 1046,
        1048, 1050, 1052, 1054, 1056, 1058, 1060, 1062, 1064, 1066, 942, 954, 955, 1009, 1028,
        1030, 1032, 1034, 1036, 1038, 1040, 1042, 1043, 1044, 1046, 1048, 1050, 1052, 1054, 1056,
        1058, 1060, 1062, 1064, 1066, 943, 954, 955, 1010, 1028, 1030, 1032, 1034, 1036, 1038,
        1040, 1042, 1044, 1045, 1046, 1048, 1050, 1052, 1054, 1056, 1058, 1060, 1062, 1064, 1066,
        944, 954, 955, 1011, 1028, 1030, 1032, 1034, 1036, 1038, 1040, 1042, 1044, 1046, 1047,
        1048, 1050, 1052, 1054, 1056, 1058, 1060, 1062, 1064, 1066, 945, 954, 955, 1012, 1028,
        1030, 1032, 1034, 1036, 1038, 1040, 1042, 1044, 1046, 1048, 1049, 1050, 1052, 1054, 1056,
        1058, 1060, 1062, 1064, 1066, 946, 954, 955, 1013, 1028, 1030, 1032, 1034, 1036, 1038,
        1040, 1042, 1044, 1046, 1048, 1050, 1051, 1052, 1054, 1056, 1058, 1060, 1062, 1064, 1066,
        947, 954, 955, 1014, 1028, 1030, 1032, 1034, 1036, 1038, 1040, 1042, 1044, 1046, 1048,
        1050, 1052, 1053, 1054, 1056, 1058, 1060, 1062, 1064, 1066, 948, 954, 955, 1015, 1028,
        1030, 1032, 1034, 1036, 1038, 1040, 1042, 1044, 1046, 1048, 1050, 1052, 1054, 1055, 1056,
        1058, 1060, 1062, 1064, 1066, 949, 954, 955, 1016, 1028, 1030, 1032, 1034, 1036, 1038,
        1040, 1042, 1044, 1046, 1048, 1050, 1052, 1054, 1056, 1057, 1058, 1060, 1062, 1064, 1066,
        950, 954, 955, 1017, 1028, 1030, 1032, 1034, 1036, 1038, 1040, 1042, 1044, 1046, 1048,
        1050, 1052, 1054, 1056, 1058, 1059, 1060, 1062, 1064, 1066, 951, 954, 955, 1018, 1028,
        1030, 1032, 1034, 1036, 1038, 1040, 1042, 1044, 1046, 1048, 1050, 1052, 1054, 1056, 1058,
        1060, 1061, 1062, 1064, 1066, 952, 954, 955, 1019, 1028, 1030, 1032, 1034, 1036, 1038,
        1040, 1042, 1044, 1046, 1048, 1050, 1052, 1054, 1056, 1058, 1060, 1062, 1063, 1064, 1066,
        953, 954, 955, 1020, 1028, 1030, 1032, 1034, 1036, 1038, 1040, 1042, 1044, 1046, 1048,
        1050, 1052, 1054, 1056, 1058, 1060, 1062, 1064, 1065, 1066, 954, 955, 1028, 1030, 1032,
        1034, 1036, 1038, 1040, 1042, 1044, 1046, 1048, 1050, 1052, 1054, 1056, 1058, 1060, 1062,
        1064, 1066, 1067, 934, 954, 1001, 1029, 1031, 1033, 1035, 1037, 1039, 1041, 1043, 1045,
        1047, 1049, 1051, 1053, 1055, 1057, 1059, 1061, 1063, 1065, 1067, 46, 955, 1025, 1028,
        1030, 1032, 1034, 1036, 1038, 1040, 1042, 1044, 1046, 1048, 1050, 1052, 1054, 1056, 1058,
        1060, 1062, 1064, 1066, 47, 955, 1026, 1028, 1030, 1032, 1034, 1036, 1038, 1040, 1042,
        1044, 1046, 1048, 1050, 1052, 1054, 1056, 1058, 1060, 1062, 1064, 1066, 955, 960, 1027,
        911, 930, 931, 935, 912, 930, 931, 936, 913, 930, 931, 937, 914, 930, 931, 938, 915, 930,
        931, 939, 916, 930, 931, 940, 917, 930, 931, 941, 918, 930, 931, 942, 919, 930, 931, 943,
        920, 930, 931, 944, 921, 930, 931, 945, 922, 930, 931, 946, 923, 930, 931, 947, 924, 930,
        931, 948, 925, 930, 931, 949, 926, 930, 931, 950, 927, 930, 931, 951, 928, 930, 931, 952,
        929, 930, 931, 953, 930, 931, 910, 930, 934, 931, 931, 932, 931, 933, 960, 483, 504, 505,
        935, 961, 962, 963, 965, 967, 969, 971, 973, 975, 977, 979, 981, 983, 985, 987, 989, 991,
        993, 995, 997, 999, 484, 504, 505, 936, 961, 963, 964, 965, 967, 969, 971, 973, 975, 977,
        979, 981, 983, 985, 987, 989, 991, 993, 995, 997, 999, 485, 504, 505, 937, 961, 963, 965,
        966, 967, 969, 971, 973, 975, 977, 979, 981, 983, 985, 987, 989, 991, 993, 995, 997, 999,
        486, 504, 505, 938, 961, 963, 965, 967, 968, 969, 971, 973, 975, 977, 979, 981, 983, 985,
        987, 989, 991, 993, 995, 997, 999, 487, 504, 505, 939, 961, 963, 965, 967, 969, 970, 971,
        973, 975, 977, 979, 981, 983, 985, 987, 989, 991, 993, 995, 997, 999, 488, 504, 505, 940,
        961, 963, 965, 967, 969, 971, 972, 973, 975, 977, 979, 981, 983, 985, 987, 989, 991, 993,
        995, 997, 999, 489, 504, 505, 941, 961, 963, 965, 967, 969, 971, 973, 974, 975, 977, 979,
        981, 983, 985, 987, 989, 991, 993, 995, 997, 999, 490, 504, 505, 942, 961, 963, 965, 967,
        969, 971, 973, 975, 976, 977, 979, 981, 983, 985, 987, 989, 991, 993, 995, 997, 999, 491,
        504, 505, 943, 961, 963, 965, 967, 969, 971, 973, 975, 977, 978, 979, 981, 983, 985, 987,
        989, 991, 993, 995, 997, 999, 492, 504, 505, 944, 961, 963, 965, 967, 969, 971, 973, 975,
        977, 979, 980, 981, 983, 985, 987, 989, 991, 993, 995, 997, 999, 493, 504, 505, 945, 961,
        963, 965, 967, 969, 971, 973, 975, 977, 979, 981, 982, 983, 985, 987, 989, 991, 993, 995,
        997, 999, 494, 504, 505, 946, 961, 963, 965, 967, 969, 971, 973, 975, 977, 979, 981, 983,
        984, 985, 987, 989, 991, 993, 995, 997, 999, 495, 504, 505, 947, 961, 963, 965, 967, 969,
        971, 973, 975, 977, 979, 981, 983, 985, 986, 987, 989, 991, 993, 995, 997, 999, 496, 504,
        505, 948, 961, 963, 965, 967, 969, 971, 973, 975, 977, 979, 981, 983, 985, 987, 988, 989,
        991, 993, 995, 997, 999, 497, 504, 505, 949, 961, 963, 965, 967, 969, 971, 973, 975, 977,
        979, 981, 983, 985, 987, 989, 990, 991, 993, 995, 997, 999, 498, 504, 505, 950, 961, 963,
        965, 967, 969, 971, 973, 975, 977, 979, 981, 983, 985, 987, 989, 991, 992, 993, 995, 997,
        999, 499, 504, 505, 951, 961, 963, 965, 967, 969, 971, 973, 975, 977, 979, 981, 983, 985,
        987, 989, 991, 993, 994, 995, 997, 999, 500, 504, 505, 952, 961, 963, 965, 967, 969, 971,
        973, 975, 977, 979, 981, 983, 985, 987, 989, 991, 993, 995, 996, 997, 999, 501, 504, 505,
        953, 961, 963, 965, 967, 969, 971, 973, 975, 977, 979, 981, 983, 985, 987, 989, 991, 993,
        995, 997, 998, 999, 504, 505, 961, 963, 965, 967, 969, 971, 973, 975, 977, 979, 981, 983,
        985, 987, 989, 991, 993, 995, 997, 999, 1000, 482, 504, 934, 962, 964, 966, 968, 970, 972,
        974, 976, 978, 980, 982, 984, 986, 988, 990, 992, 994, 996, 998, 1000, 44, 505, 958, 961,
        963, 965, 967, 969, 971, 973, 975, 977, 979, 981, 983, 985, 987, 989, 991, 993, 995, 997,
        999, 45, 505, 506, 959, 961, 963, 965, 967, 969, 971, 973, 975, 977, 979, 981, 983, 985,
        987, 989, 991, 993, 995, 997, 999, 505, 507, 960, 935, 956, 957, 961, 962, 963, 965, 967,
        969, 971, 973, 975, 977, 979, 981, 983, 985, 987, 989, 991, 993, 995, 997, 999, 1002, 936,
        956, 957, 961, 963, 964, 965, 967, 969, 971, 973, 975, 977, 979, 981, 983, 985, 987, 989,
        991, 993, 995, 997, 999, 1003, 937, 956, 957, 961, 963, 965, 966, 967, 969, 971, 973, 975,
        977, 979, 981, 983, 985, 987, 989, 991, 993, 995, 997, 999, 1004, 938, 956, 957, 961, 963,
        965, 967, 968, 969, 971, 973, 975, 977, 979, 981, 983, 985, 987, 989, 991, 993, 995, 997,
        999, 1005, 939, 956, 957, 961, 963, 965, 967, 969, 970, 971, 973, 975, 977, 979, 981, 983,
        985, 987, 989, 991, 993, 995, 997, 999, 1006, 940, 956, 957, 961, 963, 965, 967, 969, 971,
        972, 973, 975, 977, 979, 981, 983, 985, 987, 989, 991, 993, 995, 997, 999, 1007, 941, 956,
        957, 961, 963, 965, 967, 969, 971, 973, 974, 975, 977, 979, 981, 983, 985, 987, 989, 991,
        993, 995, 997, 999, 1008, 942, 956, 957, 961, 963, 965, 967, 969, 971, 973, 975, 976, 977,
        979, 981, 983, 985, 987, 989, 991, 993, 995, 997, 999, 1009, 943, 956, 957, 961, 963, 965,
        967, 969, 971, 973, 975, 977, 978, 979, 981, 983, 985, 987, 989, 991, 993, 995, 997, 999,
        1010, 944, 956, 957, 961, 963, 965, 967, 969, 971, 973, 975, 977, 979, 980, 981, 983, 985,
        987, 989, 991, 993, 995, 997, 999, 1011, 945, 956, 957, 961, 963, 965, 967, 969, 971, 973,
        975, 977, 979, 981, 982, 983, 985, 987, 989, 991, 993, 995, 997, 999, 1012, 946, 956, 957,
        961, 963, 965, 967, 969, 971, 973, 975, 977, 979, 981, 983, 984, 985, 987, 989, 991, 993,
        995, 997, 999, 1013, 947, 956, 957, 961, 963, 965, 967, 969, 971, 973, 975, 977, 979, 981,
        983, 985, 986, 987, 989, 991, 993, 995, 997, 999, 1014, 948, 956, 957, 961, 963, 965, 967,
        969, 971, 973, 975, 977, 979, 981, 983, 985, 987, 988, 989, 991, 993, 995, 997, 999, 1015,
        949, 956, 957, 961, 963, 965, 967, 969, 971, 973, 975, 977, 979, 981, 983, 985, 987, 989,
        990, 991, 993, 995, 997, 999, 1016, 950, 956, 957, 961, 963, 965, 967, 969, 971, 973, 975,
        977, 979, 981, 983, 985, 987, 989, 991, 992, 993, 995, 997, 999, 1017, 951, 956, 957, 961,
        963, 965, 967, 969, 971, 973, 975, 977, 979, 981, 983, 985, 987, 989, 991, 993, 994, 995,
        997, 999, 1018, 952, 956, 957, 961, 963, 965, 967, 969, 971, 973, 975, 977, 979, 981, 983,
        985, 987, 989, 991, 993, 995, 996, 997, 999, 1019, 953, 956, 957, 961, 963, 965, 967, 969,
        971, 973, 975, 977, 979, 981, 983, 985, 987, 989, 991, 993, 995, 997, 998, 999, 1020, 956,
        957, 961, 963, 965, 967, 969, 971, 973, 975, 977, 979, 981, 983, 985, 987, 989, 991, 993,
        995, 997, 999, 1000, 934, 956, 962, 964, 966, 968, 970, 972, 974, 976, 978, 980, 982, 984,
        986, 988, 990, 992, 994, 996, 998, 1000, 1001, 957, 958, 957, 959, 957, 960, 1027, 578,
        599, 600, 604, 605, 606, 608, 610, 612, 614, 616, 618, 620, 622, 624, 626, 628, 630, 632,
        634, 636, 638, 640, 642, 645, 579, 599, 600, 604, 606, 607, 608, 610, 612, 614, 616, 618,
        620, 622, 624, 626, 628, 630, 632, 634, 636, 638, 640, 642, 646, 580, 599, 600, 604, 606,
        608, 609, 610, 612, 614, 616, 618, 620, 622, 624, 626, 628, 630, 632, 634, 636, 638, 640,
        642, 647, 581, 599, 600, 604, 606, 608, 610, 611, 612, 614, 616, 618, 620, 622, 624, 626,
        628, 630, 632, 634, 636, 638, 640, 642, 648, 582, 599, 600, 604, 606, 608, 610, 612, 613,
        614, 616, 618, 620, 622, 624, 626, 628, 630, 632, 634, 636, 638, 640, 642, 649, 583, 599,
        600, 604, 606, 608, 610, 612, 614, 615, 616, 618, 620, 622, 624, 626, 628, 630, 632, 634,
        636, 638, 640, 642, 650, 584, 599, 600, 604, 606, 608, 610, 612, 614, 616, 617, 618, 620,
        622, 624, 626, 628, 630, 632, 634, 636, 638, 640, 642, 651, 585, 599, 600, 604, 606, 608,
        610, 612, 614, 616, 618, 619, 620, 622, 624, 626, 628, 630, 632, 634, 636, 638, 640, 642,
        652, 586, 599, 600, 604, 606, 608, 610, 612, 614, 616, 618, 620, 621, 622, 624, 626, 628,
        630, 632, 634, 636, 638, 640, 642, 653, 587, 599, 600, 604, 606, 608, 610, 612, 614, 616,
        618, 620, 622, 623, 624, 626, 628, 630, 632, 634, 636, 638, 640, 642, 654, 588, 599, 600,
        604, 606, 608, 610, 612, 614, 616, 618, 620, 622, 624, 625, 626, 628, 630, 632, 634, 636,
        638, 640, 642, 655, 589, 599, 600, 604, 606, 608, 610, 612, 614, 616, 618, 620, 622, 624,
        626, 627, 628, 630, 632, 634, 636, 638, 640, 642, 656, 590, 599, 600, 604, 606, 608, 610,
        612, 614, 616, 618, 620, 622, 624, 626, 628, 629, 630, 632, 634, 636, 638, 640, 642, 657,
        591, 599, 600, 604, 606, 608, 610, 612, 614, 616, 618, 620, 622, 624, 626, 628, 630, 631,
        632, 634, 636, 638, 640, 642, 658, 592, 599, 600, 604, 606, 608, 610, 612, 614, 616, 618,
        620, 622, 624, 626, 628, 630, 632, 633, 634, 636, 638, 640, 642, 659, 593, 599, 600, 604,
        606, 608, 610, 612, 614, 616, 618, 620, 622, 624, 626, 628, 630, 632, 634, 635, 636, 638,
        640, 642, 660, 594, 599, 600, 604, 606, 608, 610, 612, 614, 616, 618, 620, 622, 624, 626,
        628, 630, 632, 634, 636, 637, 638, 640, 642, 661, 595, 599, 600, 604, 606, 608, 610, 612,
        614, 616, 618, 620, 622, 624, 626, 628, 630, 632, 634, 636, 638, 639, 640, 642, 662, 596,
        599, 600, 604, 606, 608, 610, 612, 614, 616, 618, 620, 622, 624, 626, 628, 630, 632, 634,
        636, 638, 640, 641, 642, 663, 599, 600, 604, 606, 608, 610, 612, 614, 616, 618, 620, 622,
        624, 626, 628, 630, 632, 634, 636, 638, 640, 642, 643, 577, 599, 605, 607, 609, 611, 613,
        615, 617, 619, 621, 623, 625, 627, 629, 631, 633, 635, 637, 639, 641, 643, 644, 34, 600,
        601, 604, 606, 608, 610, 612, 614, 616, 618, 620, 622, 624, 626, 628, 630, 632, 634, 636,
        638, 640, 642, 35, 600, 602, 604, 606, 608, 610, 612, 614, 616, 618, 620, 622, 624, 626,
        628, 630, 632, 634, 636, 638, 640, 642, 600, 603, 670, 645, 664, 665, 712, 738, 739, 740,
        742, 744, 746, 748, 750, 752, 754, 756, 758, 760, 762, 764, 766, 768, 770, 772, 774, 776,
        646, 664, 665, 713, 738, 740, 741, 742, 744, 746, 748, 750, 752, 754, 756, 758, 760, 762,
        764, 766, 768, 770, 772, 774, 776, 647, 664, 665, 714, 738, 740, 742, 743, 744, 746, 748,
        750, 752, 754, 756, 758, 760, 762, 764, 766, 768, 770, 772, 774, 776, 648, 664, 665, 715,
        738, 740, 742, 744, 745, 746, 748, 750, 752, 754, 756, 758, 760, 762, 764, 766, 768, 770,
        772, 774, 776, 649, 664, 665, 716, 738, 740, 742, 744, 746, 747, 748, 750, 752, 754, 756,
        758, 760, 762, 764, 766, 768, 770, 772, 774, 776, 650, 664, 665, 717, 738, 740, 742, 744,
        746, 748, 749, 750, 752, 754, 756, 758, 760, 762, 764, 766, 768, 770, 772, 774, 776, 651,
        664, 665, 718, 738, 740, 742, 744, 746, 748, 750, 751, 752, 754, 756, 758, 760, 762, 764,
        766, 768, 770, 772, 774, 776, 652, 664, 665, 719, 738, 740, 742, 744, 746, 748, 750, 752,
        753, 754, 756, 758, 760, 762, 764, 766, 768, 770, 772, 774, 776, 653, 664, 665, 720, 738,
        740, 742, 744, 746, 748, 750, 752, 754, 755, 756, 758, 760, 762, 764, 766, 768, 770, 772,
        774, 776, 654, 664, 665, 721, 738, 740, 742, 744, 746, 748, 750, 752, 754, 756, 757, 758,
        760, 762, 764, 766, 768, 770, 772, 774, 776, 655, 664, 665, 722, 738, 740, 742, 744, 746,
        748, 750, 752, 754, 756, 758, 759, 760, 762, 764, 766, 768, 770, 772, 774, 776, 656, 664,
        665, 723, 738, 740, 742, 744, 746, 748, 750, 752, 754, 756, 758, 760, 761, 762, 764, 766,
        768, 770, 772, 774, 776, 657, 664, 665, 724, 738, 740, 742, 744, 746, 748, 750, 752, 754,
        756, 758, 760, 762, 763, 764, 766, 768, 770, 772, 774, 776, 658, 664, 665, 725, 738, 740,
        742, 744, 746, 748, 750, 752, 754, 756, 758, 760, 762, 764, 765, 766, 768, 770, 772, 774,
        776, 659, 664, 665, 726, 738, 740, 742, 744, 746, 748, 750, 752, 754, 756, 758, 760, 762,
        764, 766, 767, 768, 770, 772, 774, 776, 660, 664, 665, 727, 738, 740, 742, 744, 746, 748,
        750, 752, 754, 756, 758, 760, 762, 764, 766, 768, 769, 770, 772, 774, 776, 661, 664, 665,
        728, 738, 740, 742, 744, 746, 748, 750, 752, 754, 756, 758, 760, 762, 764, 766, 768, 770,
        771, 772, 774, 776, 662, 664, 665, 729, 738, 740, 742, 744, 746, 748, 750, 752, 754, 756,
        758, 760, 762, 764, 766, 768, 770, 772, 773, 774, 776, 663, 664, 665, 730, 738, 740, 742,
        744, 746, 748, 750, 752, 754, 756, 758, 760, 762, 764, 766, 768, 770, 772, 774, 775, 776,
        664, 665, 738, 740, 742, 744, 746, 748, 750, 752, 754, 756, 758, 760, 762, 764, 766, 768,
        770, 772, 774, 776, 777, 644, 664, 711, 739, 741, 743, 745, 747, 749, 751, 753, 755, 757,
        759, 761, 763, 765, 767, 769, 771, 773, 775, 777, 665, 735, 665, 736, 665, 670, 737, 645,
        666, 667, 671, 672, 673, 675, 677, 679, 681, 683, 685, 687, 689, 691, 693, 695, 697, 699,
        701, 703, 705, 707, 709, 712, 646, 666, 667, 671, 673, 674, 675, 677, 679, 681, 683, 685,
        687, 689, 691, 693, 695, 697, 699, 701, 703, 705, 707, 709, 713, 647, 666, 667, 671, 673,
        675, 676, 677, 679, 681, 683, 685, 687, 689, 691, 693, 695, 697, 699, 701, 703, 705, 707,
        709, 714, 648, 666, 667, 671, 673, 675, 677, 678, 679, 681, 683, 685, 687, 689, 691, 693,
        695, 697, 699, 701, 703, 705, 707, 709, 715, 649, 666, 667, 671, 673, 675, 677, 679, 680,
        681, 683, 685, 687, 689, 691, 693, 695, 697, 699, 701, 703, 705, 707, 709, 716, 650, 666,
        667, 671, 673, 675, 677, 679, 681, 682, 683, 685, 687, 689, 691, 693, 695, 697, 699, 701,
        703, 705, 707, 709, 717, 651, 666, 667, 671, 673, 675, 677, 679, 681, 683, 684, 685, 687,
        689, 691, 693, 695, 697, 699, 701, 703, 705, 707, 709, 718, 652, 666, 667, 671, 673, 675,
        677, 679, 681, 683, 685, 686, 687, 689, 691, 693, 695, 697, 699, 701, 703, 705, 707, 709,
        719, 653, 666, 667, 671, 673, 675, 677, 679, 681, 683, 685, 687, 688, 689, 691, 693, 695,
        697, 699, 701, 703, 705, 707, 709, 720, 654, 666, 667, 671, 673, 675, 677, 679, 681, 683,
        685, 687, 689, 690, 691, 693, 695, 697, 699, 701, 703, 705, 707, 709, 721, 655, 666, 667,
        671, 673, 675, 677, 679, 681, 683, 685, 687, 689, 691, 692, 693, 695, 697, 699, 701, 703,
        705, 707, 709, 722, 656, 666, 667, 671, 673, 675, 677, 679, 681, 683, 685, 687, 689, 691,
        693, 694, 695, 697, 699, 701, 703, 705, 707, 709, 723, 657, 666, 667, 671, 673, 675, 677,
        679, 681, 683, 685, 687, 689, 691, 693, 695, 696, 697, 699, 701, 703, 705, 707, 709, 724,
        658, 666, 667, 671, 673, 675, 677, 679, 681, 683, 685, 687, 689, 691, 693, 695, 697, 698,
        699, 701, 703, 705, 707, 709, 725, 659, 666, 667, 671, 673, 675, 677, 679, 681, 683, 685,
        687, 689, 691, 693, 695, 697, 699, 700, 701, 703, 705, 707, 709, 726, 660, 666, 667, 671,
        673, 675, 677, 679, 681, 683, 685, 687, 689, 691, 693, 695, 697, 699, 701, 702, 703, 705,
        707, 709, 727, 661, 666, 667, 671, 673, 675, 677, 679, 681, 683, 685, 687, 689, 691, 693,
        695, 697, 699, 701, 703, 704, 705, 707, 709, 728, 662, 666, 667, 671, 673, 675, 677, 679,
        681, 683, 685, 687, 689, 691, 693, 695, 697, 699, 701, 703, 705, 706, 707, 709, 729, 663,
        666, 667, 671, 673, 675, 677, 679, 681, 683, 685, 687, 689, 691, 693, 695, 697, 699, 701,
        703, 705, 707, 708, 709, 730, 666, 667, 671, 673, 675, 677, 679, 681, 683, 685, 687, 689,
        691, 693, 695, 697, 699, 701, 703, 705, 707, 709, 710, 644, 666, 672, 674, 676, 678, 680,
        682, 684, 686, 688, 690, 692, 694, 696, 698, 700, 702, 704, 706, 708, 710, 711, 36, 667,
        668, 671, 673, 675, 677, 679, 681, 683, 685, 687, 689, 691, 693, 695, 697, 699, 701, 703,
        705, 707, 709, 37, 667, 669, 671, 673, 675, 677, 679, 681, 683, 685, 687, 689, 691, 693,
        695, 697, 699, 701, 703, 705, 707, 709, 667, 670, 737, 578, 597, 598, 645, 671, 672, 673,
        675, 677, 679, 681, 683, 685, 687, 689, 691, 693, 695, 697, 699, 701, 703, 705, 707, 709,
        579, 597, 598, 646, 671, 673, 674, 675, 677, 679, 681, 683, 685, 687, 689, 691, 693, 695,
        697, 699, 701, 703, 705, 707, 709, 580, 597, 598, 647, 671, 673, 675, 676, 677, 679, 681,
        683, 685, 687, 689, 691, 693, 695, 697, 699, 701, 703, 705, 707, 709, 581, 597, 598, 648,
        671, 673, 675, 677, 678, 679, 681, 683, 685, 687, 689, 691, 693, 695, 697, 699, 701, 703,
        705, 707, 709, 582, 597, 598, 649, 671, 673, 675, 677, 679, 680, 681, 683, 685, 687, 689,
        691, 693, 695, 697, 699, 701, 703, 705, 707, 709, 583, 597, 598, 650, 671, 673, 675, 677,
        679, 681, 682, 683, 685, 687, 689, 691, 693, 695, 697, 699, 701, 703, 705, 707, 709, 584,
        597, 598, 651, 671, 673, 675, 677, 679, 681, 683, 684, 685, 687, 689, 691, 693, 695, 697,
        699, 701, 703, 705, 707, 709, 585, 597, 598, 652, 671, 673, 675, 677, 679, 681, 683, 685,
        686, 687, 689, 691, 693, 695, 697, 699, 701, 703, 705, 707, 709, 586, 597, 598, 653, 671,
        673, 675, 677, 679, 681, 683, 685, 687, 688, 689, 691, 693, 695, 697, 699, 701, 703, 705,
        707, 709, 587, 597, 598, 654, 671, 673, 675, 677, 679, 681, 683, 685, 687, 689, 690, 691,
        693, 695, 697, 699, 701, 703, 705, 707, 709, 588, 597, 598, 655, 671, 673, 675, 677, 679,
        681, 683, 685, 687, 689, 691, 692, 693, 695, 697, 699, 701, 703, 705, 707, 709, 589, 597,
        598, 656, 671, 673, 675, 677, 679, 681, 683, 685, 687, 689, 691, 693, 694, 695, 697, 699,
        701, 703, 705, 707, 709, 590, 597, 598, 657, 671, 673, 675, 677, 679, 681, 683, 685, 687,
        689, 691, 693, 695, 696, 697, 699, 701, 703, 705, 707, 709, 591, 597, 598, 658, 671, 673,
        675, 677, 679, 681, 683, 685, 687, 689, 691, 693, 695, 697, 698, 699, 701, 703, 705, 707,
        709, 592, 597, 598, 659, 671, 673, 675, 677, 679, 681, 683, 685, 687, 689, 691, 693, 695,
        697, 699, 700, 701, 703, 705, 707, 709, 593, 597, 598, 660, 671, 673, 675, 677, 679, 681,
        683, 685, 687, 689, 691, 693, 695, 697, 699, 701, 702, 703, 705, 707, 709, 594, 597, 598,
        661, 671, 673, 675, 677, 679, 681, 683, 685, 687, 689, 691, 693, 695, 697, 699, 701, 703,
        704, 705, 707, 709, 595, 597, 598, 662, 671, 673, 675, 677, 679, 681, 683, 685, 687, 689,
        691, 693, 695, 697, 699, 701, 703, 705, 706, 707, 709, 596, 597, 598, 663, 671, 673, 675,
        677, 679, 681, 683, 685, 687, 689, 691, 693, 695, 697, 699, 701, 703, 705, 707, 708, 709,
        597, 598, 671, 673, 675, 677, 679, 681, 683, 685, 687, 689, 691, 693, 695, 697, 699, 701,
        703, 705, 707, 709, 710, 577, 597, 644, 672, 674, 676, 678, 680, 682, 684, 686, 688, 690,
        692, 694, 696, 698, 700, 702, 704, 706, 708, 710, 598, 668, 598, 669, 598, 603, 670, 1069,
        1088, 1089, 1136, 1162, 1163, 1164, 1166, 1168, 1170, 1172, 1174, 1176, 1178, 1180, 1182,
        1184, 1186, 1188, 1190, 1192, 1194, 1196, 1198, 1200, 1070, 1088, 1089, 1137, 1162, 1164,
        1165, 1166, 1168, 1170, 1172, 1174, 1176, 1178, 1180, 1182, 1184, 1186, 1188, 1190, 1192,
        1194, 1196, 1198, 1200, 1071, 1088, 1089, 1138, 1162, 1164, 1166, 1167, 1168, 1170, 1172,
        1174, 1176, 1178, 1180, 1182, 1184, 1186, 1188, 1190, 1192, 1194, 1196, 1198, 1200, 1072,
        1088, 1089, 1139, 1162, 1164, 1166, 1168, 1169, 1170, 1172, 1174, 1176, 1178, 1180, 1182,
        1184, 1186, 1188, 1190, 1192, 1194, 1196, 1198, 1200, 1073, 1088, 1089, 1140, 1162, 1164,
        1166, 1168, 1170, 1171, 1172, 1174, 1176, 1178, 1180, 1182, 1184, 1186, 1188, 1190, 1192,
        1194, 1196, 1198, 1200, 1074, 1088, 1089, 1141, 1162, 1164, 1166, 1168, 1170, 1172, 1173,
        1174, 1176, 1178, 1180, 1182, 1184, 1186, 1188, 1190, 1192, 1194, 1196, 1198, 1200, 1075,
        1088, 1089, 1142, 1162, 1164, 1166, 1168, 1170, 1172, 1174, 1175, 1176, 1178, 1180, 1182,
        1184, 1186, 1188, 1190, 1192, 1194, 1196, 1198, 1200, 1076, 1088, 1089, 1143, 1162, 1164,
        1166, 1168, 1170, 1172, 1174, 1176, 1177, 1178, 1180, 1182, 1184, 1186, 1188, 1190, 1192,
        1194, 1196, 1198, 1200, 1077, 1088, 1089, 1144, 1162, 1164, 1166, 1168, 1170, 1172, 1174,
        1176, 1178, 1179, 1180, 1182, 1184, 1186, 1188, 1190, 1192, 1194, 1196, 1198, 1200, 1078,
        1088, 1089, 1145, 1162, 1164, 1166, 1168, 1170, 1172, 1174, 1176, 1178, 1180, 1181, 1182,
        1184, 1186, 1188, 1190, 1192, 1194, 1196, 1198, 1200, 1079, 1088, 1089, 1146, 1162, 1164,
        1166, 1168, 1170, 1172, 1174, 1176, 1178, 1180, 1182, 1183, 1184, 1186, 1188, 1190, 1192,
        1194, 1196, 1198, 1200, 1080, 1088, 1089, 1147, 1162, 1164, 1166, 1168, 1170, 1172, 1174,
        1176, 1178, 1180, 1182, 1184, 1185, 1186, 1188, 1190, 1192, 1194, 1196, 1198, 1200, 1081,
        1088, 1089, 1148, 1162, 1164, 1166, 1168, 1170, 1172, 1174, 1176, 1178, 1180, 1182, 1184,
        1186, 1187, 1188, 1190, 1192, 1194, 1196, 1198, 1200, 1082, 1088, 1089, 1149, 1162, 1164,
        1166, 1168, 1170, 1172, 1174, 1176, 1178, 1180, 1182, 1184, 1186, 1188, 1189, 1190, 1192,
        1194, 1196, 1198, 1200, 1083, 1088, 1089, 1150, 1162, 1164, 1166, 1168, 1170, 1172, 1174,
        1176, 1178, 1180, 1182, 1184, 1186, 1188, 1190, 1191, 1192, 1194, 1196, 1198, 1200, 1084,
        1088, 1089, 1151, 1162, 1164, 1166, 1168, 1170, 1172, 1174, 1176, 1178, 1180, 1182, 1184,
        1186, 1188, 1190, 1192, 1193, 1194, 1196, 1198, 1200, 1085, 1088, 1089, 1152, 1162, 1164,
        1166, 1168, 1170, 1172, 1174, 1176, 1178, 1180, 1182, 1184, 1186, 1188, 1190, 1192, 1194,
        1195, 1196, 1198, 1200, 1086, 1088, 1089, 1153, 1162, 1164, 1166, 1168, 1170, 1172, 1174,
        1176, 1178, 1180, 1182, 1184, 1186, 1188, 1190, 1192, 1194, 1196, 1197, 1198, 1200, 1087,
        1088, 1089, 1154, 1162, 1164, 1166, 1168, 1170, 1172, 1174, 1176, 1178, 1180, 1182, 1184,
        1186, 1188, 1190, 1192, 1194, 1196, 1198, 1199, 1200, 1088, 1089, 1162, 1164, 1166, 1168,
        1170, 1172, 1174, 1176, 1178, 1180, 1182, 1184, 1186, 1188, 1190, 1192, 1194, 1196, 1198,
        1200, 1201, 1068, 1088, 1135, 1163, 1165, 1167, 1169, 1171, 1173, 1175, 1177, 1179, 1181,
        1183, 1185, 1187, 1189, 1191, 1193, 1195, 1197, 1199, 1201, 50, 1089, 1159, 1162, 1164,
        1166, 1168, 1170, 1172, 1174, 1176, 1178, 1180, 1182, 1184, 1186, 1188, 1190, 1192, 1194,
        1196, 1198, 1200, 51, 1089, 1160, 1162, 1164, 1166, 1168, 1170, 1172, 1174, 1176, 1178,
        1180, 1182, 1184, 1186, 1188, 1190, 1192, 1194, 1196, 1198, 1200, 1089, 1094, 1161, 1002,
        1023, 1024, 1028, 1029, 1030, 1032, 1034, 1036, 1038, 1040, 1042, 1044, 1046, 1048, 1050,
        1052, 1054, 1056, 1058, 1060, 1062, 1064, 1066, 1069, 1003, 1023, 1024, 1028, 1030, 1031,
        1032, 1034, 1036, 1038, 1040, 1042, 1044, 1046, 1048, 1050, 1052, 1054, 1056, 1058, 1060,
        1062, 1064, 1066, 1070, 1004, 1023, 1024, 1028, 1030, 1032, 1033, 1034, 1036, 1038, 1040,
        1042, 1044, 1046, 1048, 1050, 1052, 1054, 1056, 1058, 1060, 1062, 1064, 1066, 1071, 1005,
        1023, 1024, 1028, 1030, 1032, 1034, 1035, 1036, 1038, 1040, 1042, 1044, 1046, 1048, 1050,
        1052, 1054, 1056, 1058, 1060, 1062, 1064, 1066, 1072, 1006, 1023, 1024, 1028, 1030, 1032,
        1034, 1036, 1037, 1038, 1040, 1042, 1044, 1046, 1048, 1050, 1052, 1054, 1056, 1058, 1060,
        1062, 1064, 1066, 1073, 1007, 1023, 1024, 1028, 1030, 1032, 1034, 1036, 1038, 1039, 1040,
        1042, 1044, 1046, 1048, 1050, 1052, 1054, 1056, 1058, 1060, 1062, 1064, 1066, 1074, 1008,
        1023, 1024, 1028, 1030, 1032, 1034, 1036, 1038, 1040, 1041, 1042, 1044, 1046, 1048, 1050,
        1052, 1054, 1056, 1058, 1060, 1062, 1064, 1066, 1075, 1009, 1023, 1024, 1028, 1030, 1032,
        1034, 1036, 1038, 1040, 1042, 1043, 1044, 1046, 1048, 1050, 1052, 1054, 1056, 1058, 1060,
        1062, 1064, 1066, 1076, 1010, 1023, 1024, 1028, 1030, 1032, 1034, 1036, 1038, 1040, 1042,
        1044, 1045, 1046, 1048, 1050, 1052, 1054, 1056, 1058, 1060, 1062, 1064, 1066, 1077, 1011,
        1023, 1024, 1028, 1030, 1032, 1034, 1036, 1038, 1040, 1042, 1044, 1046, 1047, 1048, 1050,
        1052, 1054, 1056, 1058, 1060, 1062, 1064, 1066, 1078, 1012, 1023, 1024, 1028, 1030, 1032,
        1034, 1036, 1038, 1040, 1042, 1044, 1046, 1048, 1049, 1050, 1052, 1054, 1056, 1058, 1060,
        1062, 1064, 1066, 1079, 1013, 1023, 1024, 1028, 1030, 1032, 1034, 1036, 1038, 1040, 1042,
        1044, 1046, 1048, 1050, 1051, 1052, 1054, 1056, 1058, 1060, 1062, 1064, 1066, 1080, 1014,
        1023, 1024, 1028, 1030, 1032, 1034, 1036, 1038, 1040, 1042, 1044, 1046, 1048, 1050, 1052,
        1053, 1054, 1056, 1058, 1060, 1062, 1064, 1066, 1081, 1015, 1023, 1024, 1028, 1030, 1032,
        1034, 1036, 1038, 1040, 1042, 1044, 1046, 1048, 1050, 1052, 1054, 1055, 1056, 1058, 1060,
        1062, 1064, 1066, 1082, 1016, 1023, 1024, 1028, 1030, 1032, 1034, 1036, 1038, 1040, 1042,
        1044, 1046, 1048, 1050, 1052, 1054, 1056, 1057, 1058, 1060, 1062, 1064, 1066, 1083, 1017,
        1023, 1024, 1028, 1030, 1032, 1034, 1036, 1038, 1040, 1042, 1044, 1046, 1048, 1050, 1052,
        1054, 1056, 1058, 1059, 1060, 1062, 1064, 1066, 1084, 1018, 1023, 1024, 1028, 1030, 1032,
        1034, 1036, 1038, 1040, 1042, 1044, 1046, 1048, 1050, 1052, 1054, 1056, 1058, 1060, 1061,
        1062, 1064, 1066, 1085, 1019, 1023, 1024, 1028, 1030, 1032, 1034, 1036, 1038, 1040, 1042,
        1044, 1046, 1048, 1050, 1052, 1054, 1056, 1058, 1060, 1062, 1063, 1064, 1066, 1086, 1020,
        1023, 1024, 1028, 1030, 1032, 1034, 1036, 1038, 1040, 1042, 1044, 1046, 1048, 1050, 1052,
        1054, 1056, 1058, 1060, 1062, 1064, 1065, 1066, 1087, 1023, 1024, 1028, 1030, 1032, 1034,
        1036, 1038, 1040, 1042, 1044, 1046, 1048, 1050, 1052, 1054, 1056, 1058, 1060, 1062, 1064,
        1066, 1067, 1001, 1023, 1029, 1031, 1033, 1035, 1037, 1039, 1041, 1043, 1045, 1047, 1049,
        1051, 1053, 1055, 1057, 1059, 1061, 1063, 1065, 1067, 1068, 1024, 1025, 1024, 1026, 1024,
        1027, 1094, 1002, 1021, 1022, 1069, 1095, 1096, 1097, 1099, 1101, 1103, 1105, 1107, 1109,
        1111, 1113, 1115, 1117, 1119, 1121, 1123, 1125, 1127, 1129, 1131, 1133, 1003, 1021, 1022,
        1070, 1095, 1097, 1098, 1099, 1101, 1103, 1105, 1107, 1109, 1111, 1113, 1115, 1117, 1119,
        1121, 1123, 1125, 1127, 1129, 1131, 1133, 1004, 1021, 1022, 1071, 1095, 1097, 1099, 1100,
        1101, 1103, 1105, 1107, 1109, 1111, 1113, 1115, 1117, 1119, 1121, 1123, 1125, 1127, 1129,
        1131, 1133, 1005, 1021, 1022, 1072, 1095, 1097, 1099, 1101, 1102, 1103, 1105, 1107, 1109,
        1111, 1113, 1115, 1117, 1119, 1121, 1123, 1125, 1127, 1129, 1131, 1133, 1006, 1021, 1022,
        1073, 1095, 1097, 1099, 1101, 1103, 1104, 1105, 1107, 1109, 1111, 1113, 1115, 1117, 1119,
        1121, 1123, 1125, 1127, 1129, 1131, 1133, 1007, 1021, 1022, 1074, 1095, 1097, 1099, 1101,
        1103, 1105, 1106, 1107, 1109, 1111, 1113, 1115, 1117, 1119, 1121, 1123, 1125, 1127, 1129,
        1131, 1133, 1008, 1021, 1022, 1075, 1095, 1097, 1099, 1101, 1103, 1105, 1107, 1108, 1109,
        1111, 1113, 1115, 1117, 1119, 1121, 1123, 1125, 1127, 1129, 1131, 1133, 1009, 1021, 1022,
        1076, 1095, 1097, 1099, 1101, 1103, 1105, 1107, 1109, 1110, 1111, 1113, 1115, 1117, 1119,
        1121, 1123, 1125, 1127, 1129, 1131, 1133, 1010, 1021, 1022, 1077, 1095, 1097, 1099, 1101,
        1103, 1105, 1107, 1109, 1111, 1112, 1113, 1115, 1117, 1119, 1121, 1123, 1125, 1127, 1129,
        1131, 1133, 1011, 1021, 1022, 1078, 1095, 1097, 1099, 1101, 1103, 1105, 1107, 1109, 1111,
        1113, 1114, 1115, 1117, 1119, 1121, 1123, 1125, 1127, 1129, 1131, 1133, 1012, 1021, 1022,
        1079, 1095, 1097, 1099, 1101, 1103, 1105, 1107, 1109, 1111, 1113, 1115, 1116, 1117, 1119,
        1121, 1123, 1125, 1127, 1129, 1131, 1133, 1013, 1021, 1022, 1080, 1095, 1097, 1099, 1101,
        1103, 1105, 1107, 1109, 1111, 1113, 1115, 1117, 1118, 1119, 1121, 1123, 1125, 1127, 1129,
        1131, 1133, 1014, 1021, 1022, 1081, 1095, 1097, 1099, 1101, 1103, 1105, 1107, 1109, 1111,
        1113, 1115, 1117, 1119, 1120, 1121, 1123, 1125, 1127, 1129, 1131, 1133, 1015, 1021, 1022,
        1082, 1095, 1097, 1099, 1101, 1103, 1105, 1107, 1109, 1111, 1113, 1115, 1117, 1119, 1121,
        1122, 1123, 1125, 1127, 1129, 1131, 1133, 1016, 1021, 1022, 1083, 1095, 1097, 1099, 1101,
        1103, 1105, 1107, 1109, 1111, 1113, 1115, 1117, 1119, 1121, 1123, 1124, 1125, 1127, 1129,
        1131, 1133, 1017, 1021, 1022, 1084, 1095, 1097, 1099, 1101, 1103, 1105, 1107, 1109, 1111,
        1113, 1115, 1117, 1119, 1121, 1123, 1125, 1126, 1127, 1129, 1131, 1133, 1018, 1021, 1022,
        1085, 1095, 1097, 1099, 1101, 1103, 1105, 1107, 1109, 1111, 1113, 1115, 1117, 1119, 1121,
        1123, 1125, 1127, 1128, 1129, 1131, 1133, 1019, 1021, 1022, 1086, 1095, 1097, 1099, 1101,
        1103, 1105, 1107, 1109, 1111, 1113, 1115, 1117, 1119, 1121, 1123, 1125, 1127, 1129, 1130,
        1131, 1133, 1020, 1021, 1022, 1087, 1095, 1097, 1099, 1101, 1103, 1105, 1107, 1109, 1111,
        1113, 1115, 1117, 1119, 1121, 1123, 1125, 1127, 1129, 1131, 1132, 1133, 1021, 1022, 1095,
        1097, 1099, 1101, 1103, 1105, 1107, 1109, 1111, 1113, 1115, 1117, 1119, 1121, 1123, 1125,
        1127, 1129, 1131, 1133, 1134, 1001, 1021, 1068, 1096, 1098, 1100, 1102, 1104, 1106, 1108,
        1110, 1112, 1114, 1116, 1118, 1120, 1122, 1124, 1126, 1128, 1130, 1132, 1134, 48, 1022,
        1092, 1095, 1097, 1099, 1101, 1103, 1105, 1107, 1109, 1111, 1113, 1115, 1117, 1119, 1121,
        1123, 1125, 1127, 1129, 1131, 1133, 49, 1022, 1093, 1095, 1097, 1099, 1101, 1103, 1105,
        1107, 1109, 1111, 1113, 1115, 1117, 1119, 1121, 1123, 1125, 1127, 1129, 1131, 1133, 1022,
        1027, 1094, 1069, 1090, 1091, 1095, 1096, 1097, 1099, 1101, 1103, 1105, 1107, 1109, 1111,
        1113, 1115, 1117, 1119, 1121, 1123, 1125, 1127, 1129, 1131, 1133, 1136, 1070, 1090, 1091,
        1095, 1097, 1098, 1099, 1101, 1103, 1105, 1107, 1109, 1111, 1113, 1115, 1117, 1119, 1121,
        1123, 1125, 1127, 1129, 1131, 1133, 1137, 1071, 1090, 1091, 1095, 1097, 1099, 1100, 1101,
        1103, 1105, 1107, 1109, 1111, 1113, 1115, 1117, 1119, 1121, 1123, 1125, 1127, 1129, 1131,
        1133, 1138, 1072, 1090, 1091, 1095, 1097, 1099, 1101, 1102, 1103, 1105, 1107, 1109, 1111,
        1113, 1115, 1117, 1119, 1121, 1123, 1125, 1127, 1129, 1131, 1133, 1139, 1073, 1090, 1091,
        1095, 1097, 1099, 1101, 1103, 1104, 1105, 1107, 1109, 1111, 1113, 1115, 1117, 1119, 1121,
        1123, 1125, 1127, 1129, 1131, 1133, 1140, 1074, 1090, 1091, 1095, 1097, 1099, 1101, 1103,
        1105, 1106, 1107, 1109, 1111, 1113, 1115, 1117, 1119, 1121, 1123, 1125, 1127, 1129, 1131,
        1133, 1141, 1075, 1090, 1091, 1095, 1097, 1099, 1101, 1103, 1105, 1107, 1108, 1109, 1111,
        1113, 1115, 1117, 1119, 1121, 1123, 1125, 1127, 1129, 1131, 1133, 1142, 1076, 1090, 1091,
        1095, 1097, 1099, 1101, 1103, 1105, 1107, 1109, 1110, 1111, 1113, 1115, 1117, 1119, 1121,
        1123, 1125, 1127, 1129, 1131, 1133, 1143, 1077, 1090, 1091, 1095, 1097, 1099, 1101, 1103,
        1105, 1107, 1109, 1111, 1112, 1113, 1115, 1117, 1119, 1121, 1123, 1125, 1127, 1129, 1131,
        1133, 1144, 1078, 1090, 1091, 1095, 1097, 1099, 1101, 1103, 1105, 1107, 1109, 1111, 1113,
        1114, 1115, 1117, 1119, 1121, 1123, 1125, 1127, 1129, 1131, 1133, 1145, 1079, 1090, 1091,
        1095, 1097, 1099, 1101, 1103, 1105, 1107, 1109, 1111, 1113, 1115, 1116, 1117, 1119, 1121,
        1123, 1125, 1127, 1129, 1131, 1133, 1146, 1080, 1090, 1091, 1095, 1097, 1099, 1101, 1103,
        1105, 1107, 1109, 1111, 1113, 1115, 1117, 1118, 1119, 1121, 1123, 1125, 1127, 1129, 1131,
        1133, 1147, 1081, 1090, 1091, 1095, 1097, 1099, 1101, 1103, 1105, 1107, 1109, 1111, 1113,
        1115, 1117, 1119, 1120, 1121, 1123, 1125, 1127, 1129, 1131, 1133, 1148, 1082, 1090, 1091,
        1095, 1097, 1099, 1101, 1103, 1105, 1107, 1109, 1111, 1113, 1115, 1117, 1119, 1121, 1122,
        1123, 1125, 1127, 1129, 1131, 1133, 1149, 1083, 1090, 1091, 1095, 1097, 1099, 1101, 1103,
        1105, 1107, 1109, 1111, 1113, 1115, 1117, 1119, 1121, 1123, 1124, 1125, 1127, 1129, 1131,
        1133, 1150, 1084, 1090, 1091, 1095, 1097, 1099, 1101, 1103, 1105, 1107, 1109, 1111, 1113,
        1115, 1117, 1119, 1121, 1123, 1125, 1126, 1127, 1129, 1131, 1133, 1151, 1085, 1090, 1091,
        1095, 1097, 1099, 1101, 1103, 1105, 1107, 1109, 1111, 1113, 1115, 1117, 1119, 1121, 1123,
        1125, 1127, 1128, 1129, 1131, 1133, 1152, 1086, 1090, 1091, 1095, 1097, 1099, 1101, 1103,
        1105, 1107, 1109, 1111, 1113, 1115, 1117, 1119, 1121, 1123, 1125, 1127, 1129, 1130, 1131,
        1133, 1153, 1087, 1090, 1091, 1095, 1097, 1099, 1101, 1103, 1105, 1107, 1109, 1111, 1113,
        1115, 1117, 1119, 1121, 1123, 1125, 1127, 1129, 1131, 1132, 1133, 1154, 1090, 1091, 1095,
        1097, 1099, 1101, 1103, 1105, 1107, 1109, 1111, 1113, 1115, 1117, 1119, 1121, 1123, 1125,
        1127, 1129, 1131, 1133, 1134, 1068, 1090, 1096, 1098, 1100, 1102, 1104, 1106, 1108, 1110,
        1112, 1114, 1116, 1118, 1120, 1122, 1124, 1126, 1128, 1130, 1132, 1134, 1135, 1091, 1092,
        1091, 1093, 1091, 1094, 1161, 712, 733, 734, 738, 739, 740, 742, 744, 746, 748, 750, 752,
        754, 756, 758, 760, 762, 764, 766, 768, 770, 772, 774, 776, 779, 713, 733, 734, 738, 740,
        741, 742, 744, 746, 748, 750, 752, 754, 756, 758, 760, 762, 764, 766, 768, 770, 772, 774,
        776, 780, 714, 733, 734, 738, 740, 742, 743, 744, 746, 748, 750, 752, 754, 756, 758, 760,
        762, 764, 766, 768, 770, 772, 774, 776, 781, 715, 733, 734, 738, 740, 742, 744, 745, 746,
        748, 750, 752, 754, 756, 758, 760, 762, 764, 766, 768, 770, 772, 774, 776, 782, 716, 733,
        734, 738, 740, 742, 744, 746, 747, 748, 750, 752, 754, 756, 758, 760, 762, 764, 766, 768,
        770, 772, 774, 776, 783, 717, 733, 734, 738, 740, 742, 744, 746, 748, 749, 750, 752, 754,
        756, 758, 760, 762, 764, 766, 768, 770, 772, 774, 776, 784, 718, 733, 734, 738, 740, 742,
        744, 746, 748, 750, 751, 752, 754, 756, 758, 760, 762, 764, 766, 768, 770, 772, 774, 776,
        785, 719, 733, 734, 738, 740, 742, 744, 746, 748, 750, 752, 753, 754, 756, 758, 760, 762,
        764, 766, 768, 770, 772, 774, 776, 786, 720, 733, 734, 738, 740, 742, 744, 746, 748, 750,
        752, 754, 755, 756, 758, 760, 762, 764, 766, 768, 770, 772, 774, 776, 787, 721, 733, 734,
        738, 740, 742, 744, 746, 748, 750, 752, 754, 756, 757, 758, 760, 762, 764, 766, 768, 770,
        772, 774, 776, 788, 722, 733, 734, 738, 740, 742, 744, 746, 748, 750, 752, 754, 756, 758,
        759, 760, 762, 764, 766, 768, 770, 772, 774, 776, 789, 723, 733, 734, 738, 740, 742, 744,
        746, 748, 750, 752, 754, 756, 758, 760, 761, 762, 764, 766, 768, 770, 772, 774, 776, 790,
        724, 733, 734, 738, 740, 742, 744, 746, 748, 750, 752, 754, 756, 758, 760, 762, 763, 764,
        766, 768, 770, 772, 774, 776, 791, 725, 733, 734, 738, 740, 742, 744, 746, 748, 750, 752,
        754, 756, 758, 760, 762, 764, 765, 766, 768, 770, 772, 774, 776, 792, 726, 733, 734, 738,
        740, 742, 744, 746, 748, 750, 752, 754, 756, 758, 760, 762, 764, 766, 767, 768, 770, 772,
        774, 776, 793, 727, 733, 734, 738, 740, 742, 744, 746, 748, 750, 752, 754, 756, 758, 760,
        762, 764, 766, 768, 769, 770, 772, 774, 776, 794, 728, 733, 734, 738, 740, 742, 744, 746,
        748, 750, 752, 754, 756, 758, 760, 762, 764, 766, 768, 770, 771, 772, 774, 776, 795, 729,
        733, 734, 738, 740, 742, 744, 746, 748, 750, 752, 754, 756, 758, 760, 762, 764, 766, 768,
        770, 772, 773, 774, 776, 796, 730, 733, 734, 738, 740, 742, 744, 746, 748, 750, 752, 754,
        756, 758, 760, 762, 764, 766, 768, 770, 772, 774, 775, 776, 797, 733, 734, 738, 740, 742,
        744, 746, 748, 750, 752, 754, 756, 758, 760, 762, 764, 766, 768, 770, 772, 774, 776, 777,
        711, 733, 739, 741, 743, 745, 747, 749, 751, 753, 755, 757, 759, 761, 763, 765, 767, 769,
        771, 773, 775, 777, 778, 38, 734, 735, 738, 740, 742, 744, 746, 748, 750, 752, 754, 756,
        758, 760, 762, 764, 766, 768, 770, 772, 774, 776, 39, 734, 736, 738, 740, 742, 744, 746,
        748, 750, 752, 754, 756, 758, 760, 762, 764, 766, 768, 770, 772, 774, 776, 734, 737, 804,
        779, 798, 799, 846, 870, 871, 872, 874, 876, 878, 880, 882, 884, 886, 888, 890, 892, 894,
        896, 898, 900, 902, 904, 906, 908, 780, 798, 799, 847, 870, 872, 873, 874, 876, 878, 880,
        882, 884, 886, 888, 890, 892, 894, 896, 898, 900, 902, 904, 906, 908, 781, 798, 799, 848,
        870, 872, 874, 875, 876, 878, 880, 882, 884, 886, 888, 890, 892, 894, 896, 898, 900, 902,
        904, 906, 908, 782, 798, 799, 849, 870, 872, 874, 876, 877, 878, 880, 882, 884, 886, 888,
        890, 892, 894, 896, 898, 900, 902, 904, 906, 908, 783, 798, 799, 850, 870, 872, 874, 876,
        878, 879, 880, 882, 884, 886, 888, 890, 892, 894, 896, 898, 900, 902, 904, 906, 908, 784,
        798, 799, 851, 870, 872, 874, 876, 878, 880, 881, 882, 884, 886, 888, 890, 892, 894, 896,
        898, 900, 902, 904, 906, 908, 785, 798, 799, 852, 870, 872, 874, 876, 878, 880, 882, 883,
        884, 886, 888, 890, 892, 894, 896, 898, 900, 902, 904, 906, 908, 786, 798, 799, 853, 870,
        872, 874, 876, 878, 880, 882, 884, 885, 886, 888, 890, 892, 894, 896, 898, 900, 902, 904,
        906, 908, 787, 798, 799, 854, 870, 872, 874, 876, 878, 880, 882, 884, 886, 887, 888, 890,
        892, 894, 896, 898, 900, 902, 904, 906, 908, 788, 798, 799, 855, 870, 872, 874, 876, 878,
        880, 882, 884, 886, 888, 889, 890, 892, 894, 896, 898, 900, 902, 904, 906, 908, 789, 798,
        799, 856, 870, 872, 874, 876, 878, 880, 882, 884, 886, 888, 890, 891, 892, 894, 896, 898,
        900, 902, 904, 906, 908, 790, 798, 799, 857, 870, 872, 874, 876, 878, 880, 882, 884, 886,
        888, 890, 892, 893, 894, 896, 898, 900, 902, 904, 906, 908, 791, 798, 799, 858, 870, 872,
        874, 876, 878, 880, 882, 884, 886, 888, 890, 892, 894, 895, 896, 898, 900, 902, 904, 906,
        908, 792, 798, 799, 859, 870, 872, 874, 876, 878, 880, 882, 884, 886, 888, 890, 892, 894,
        896, 897, 898, 900, 902, 904, 906, 908, 793, 798, 799, 860, 870, 872, 874, 876, 878, 880,
        882, 884, 886, 888, 890, 892, 894, 896, 898, 899, 900, 902, 904, 906, 908, 794, 798, 799,
        861, 870, 872, 874, 876, 878, 880, 882, 884, 886, 888, 890, 892, 894, 896, 898, 900, 901,
        902, 904, 906, 908, 795, 798, 799, 862, 870, 872, 874, 876, 878, 880, 882, 884, 886, 888,
        890, 892, 894, 896, 898, 900, 902, 903, 904, 906, 908, 796, 798, 799, 863, 870, 872, 874,
        876, 878, 880, 882, 884, 886, 888, 890, 892, 894, 896, 898, 900, 902, 904, 905, 906, 908,
        797, 798, 799, 864, 870, 872, 874, 876, 878, 880, 882, 884, 886, 888, 890, 892, 894, 896,
        898, 900, 902, 904, 906, 907, 908, 798, 799, 870, 872, 874, 876, 878, 880, 882, 884, 886,
        888, 890, 892, 894, 896, 898, 900, 902, 904, 906, 908, 909, 778, 798, 845, 871, 873, 875,
        877, 879, 881, 883, 885, 887, 889, 891, 893, 895, 897, 899, 901, 903, 905, 907, 909, 799,
        867, 799, 868, 799, 804, 869, 779, 800, 801, 805, 806, 807, 809, 811, 813, 815, 817, 819,
        821, 823, 825, 827, 829, 831, 833, 835, 837, 839, 841, 843, 846, 780, 800, 801, 805, 807,
        808, 809, 811, 813, 815, 817, 819, 821, 823, 825, 827, 829, 831, 833, 835, 837, 839, 841,
        843, 847, 781, 800, 801, 805, 807, 809, 810, 811, 813, 815, 817, 819, 821, 823, 825, 827,
        829, 831, 833, 835, 837, 839, 841, 843, 848, 782, 800, 801, 805, 807, 809, 811, 812, 813,
        815, 817, 819, 821, 823, 825, 827, 829, 831, 833, 835, 837, 839, 841, 843, 849, 783, 800,
        801, 805, 807, 809, 811, 813, 814, 815, 817, 819, 821, 823, 825, 827, 829, 831, 833, 835,
        837, 839, 841, 843, 850, 784, 800, 801, 805, 807, 809, 811, 813, 815, 816, 817, 819, 821,
        823, 825, 827, 829, 831, 833, 835, 837, 839, 841, 843, 851, 785, 800, 801, 805, 807, 809,
        811, 813, 815, 817, 818, 819, 821, 823, 825, 827, 829, 831, 833, 835, 837, 839, 841, 843,
        852, 786, 800, 801, 805, 807, 809, 811, 813, 815, 817, 819, 820, 821, 823, 825, 827, 829,
        831, 833, 835, 837, 839, 841, 843, 853, 787, 800, 801, 805, 807, 809, 811, 813, 815, 817,
        819, 821, 822, 823, 825, 827, 829, 831, 833, 835, 837, 839, 841, 843, 854, 788, 800, 801,
        805, 807, 809, 811, 813, 815, 817, 819, 821, 823, 824, 825, 827, 829, 831, 833, 835, 837,
        839, 841, 843, 855, 789, 800, 801, 805, 807, 809, 811, 813, 815, 817, 819, 821, 823, 825,
        826, 827, 829, 831, 833, 835, 837, 839, 841, 843, 856, 790, 800, 801, 805, 807, 809, 811,
        813, 815, 817, 819, 821, 823, 825, 827, 828, 829, 831, 833, 835, 837, 839, 841, 843, 857,
        791, 800, 801, 805, 807, 809, 811, 813, 815, 817, 819, 821, 823, 825, 827, 829, 830, 831,
        833, 835, 837, 839, 841, 843, 858, 792, 800, 801, 805, 807, 809, 811, 813, 815, 817, 819,
        821, 823, 825, 827, 829, 831, 832, 833, 835, 837, 839, 841, 843, 859, 793, 800, 801, 805,
        807, 809, 811, 813, 815, 817, 819, 821, 823, 825, 827, 829, 831, 833, 834, 835, 837, 839,
        841, 843, 860, 794, 800, 801, 805, 807, 809, 811, 813, 815, 817, 819, 821, 823, 825, 827,
        829, 831, 833, 835, 836, 837, 839, 841, 843, 861, 795, 800, 801, 805, 807, 809, 811, 813,
        815, 817, 819, 821, 823, 825, 827, 829, 831, 833, 835, 837, 838, 839, 841, 843, 862, 796,
        800, 801, 805, 807, 809, 811, 813, 815, 817, 819, 821, 823, 825, 827, 829, 831, 833, 835,
        837, 839, 840, 841, 843, 863, 797, 800, 801, 805, 807, 809, 811, 813, 815, 817, 819, 821,
        823, 825, 827, 829, 831, 833, 835, 837, 839, 841, 842, 843, 864, 800, 801, 805, 807, 809,
        811, 813, 815, 817, 819, 821, 823, 825, 827, 829, 831, 833, 835, 837, 839, 841, 843, 844,
        778, 800, 806, 808, 810, 812, 814, 816, 818, 820, 822, 824, 826, 828, 830, 832, 834, 836,
        838, 840, 842, 844, 845, 40, 801, 802, 805, 807, 809, 811, 813, 815, 817, 819, 821, 823,
        825, 827, 829, 831, 833, 835, 837, 839, 841, 843, 41, 801, 803, 805, 807, 809, 811, 813,
        815, 817, 819, 821, 823, 825, 827, 829, 831, 833, 835, 837, 839, 841, 843, 801, 804, 869,
        712, 731, 732, 779, 805, 806, 807, 809, 811, 813, 815, 817, 819, 821, 823, 825, 827, 829,
        831, 833, 835, 837, 839, 841, 843, 713, 731, 732, 780, 805, 807, 808, 809, 811, 813, 815,
        817, 819, 821, 823, 825, 827, 829, 831, 833, 835, 837, 839, 841, 843, 714, 731, 732, 781,
        805, 807, 809, 810, 811, 813, 815, 817, 819, 821, 823, 825, 827, 829, 831, 833, 835, 837,
        839, 841, 843, 715, 731, 732, 782, 805, 807, 809, 811, 812, 813, 815, 817, 819, 821, 823,
        825, 827, 829, 831, 833, 835, 837, 839, 841, 843, 716, 731, 732, 783, 805, 807, 809, 811,
        813, 814, 815, 817, 819, 821, 823, 825, 827, 829, 831, 833, 835, 837, 839, 841, 843, 717,
        731, 732, 784, 805, 807, 809, 811, 813, 815, 816, 817, 819, 821, 823, 825, 827, 829, 831,
        833, 835, 837, 839, 841, 843, 718, 731, 732, 785, 805, 807, 809, 811, 813, 815, 817, 818,
        819, 821, 823, 825, 827, 829, 831, 833, 835, 837, 839, 841, 843, 719, 731, 732, 786, 805,
        807, 809, 811, 813, 815, 817, 819, 820, 821, 823, 825, 827, 829, 831, 833, 835, 837, 839,
        841, 843, 720, 731, 732, 787, 805, 807, 809, 811, 813, 815, 817, 819, 821, 822, 823, 825,
        827, 829, 831, 833, 835, 837, 839, 841, 843, 721, 731, 732, 788, 805, 807, 809, 811, 813,
        815, 817, 819, 821, 823, 824, 825, 827, 829, 831, 833, 835, 837, 839, 841, 843, 722, 731,
        732, 789, 805, 807, 809, 811, 813, 815, 817, 819, 821, 823, 825, 826, 827, 829, 831, 833,
        835, 837, 839, 841, 843, 723, 731, 732, 790, 805, 807, 809, 811, 813, 815, 817, 819, 821,
        823, 825, 827, 828, 829, 831, 833, 835, 837, 839, 841, 843, 724, 731, 732, 791, 805, 807,
        809, 811, 813, 815, 817, 819, 821, 823, 825, 827, 829, 830, 831, 833, 835, 837, 839, 841,
        843, 725, 731, 732, 792, 805, 807, 809, 811, 813, 815, 817, 819, 821, 823, 825, 827, 829,
        831, 832, 833, 835, 837, 839, 841, 843, 726, 731, 732, 793, 805, 807, 809, 811, 813, 815,
        817, 819, 821, 823, 825, 827, 829, 831, 833, 834, 835, 837, 839, 841, 843, 727, 731, 732,
        794, 805, 807, 809, 811, 813, 815, 817, 819, 821, 823, 825, 827, 829, 831, 833, 835, 836,
        837, 839, 841, 843, 728, 731, 732, 795, 805, 807, 809, 811, 813, 815, 817, 819, 821, 823,
        825, 827, 829, 831, 833, 835, 837, 838, 839, 841, 843, 729, 731, 732, 796, 805, 807, 809,
        811, 813, 815, 817, 819, 821, 823, 825, 827, 829, 831, 833, 835, 837, 839, 840, 841, 843,
        730, 731, 732, 797, 805, 807, 809, 811, 813, 815, 817, 819, 821, 823, 825, 827, 829, 831,
        833, 835, 837, 839, 841, 842, 843, 731, 732, 805, 807, 809, 811, 813, 815, 817, 819, 821,
        823, 825, 827, 829, 831, 833, 835, 837, 839, 841, 843, 844, 711, 731, 778, 806, 808, 810,
        812, 814, 816, 818, 820, 822, 824, 826, 828, 830, 832, 834, 836, 838, 840, 842, 844, 732,
        802, 732, 803, 732, 737, 804, 1203, 1222, 1223, 1270, 1294, 1295, 1296, 1298, 1300, 1302,
        1304, 1306, 1308, 1310, 1312, 1314, 1316, 1318, 1320, 1322, 1324, 1326, 1328, 1330, 1332,
        1204, 1222, 1223, 1271, 1294, 1296, 1297, 1298, 1300, 1302, 1304, 1306, 1308, 1310, 1312,
        1314, 1316, 1318, 1320, 1322, 1324, 1326, 1328, 1330, 1332, 1205, 1222, 1223, 1272, 1294,
        1296, 1298, 1299, 1300, 1302, 1304, 1306, 1308, 1310, 1312, 1314, 1316, 1318, 1320, 1322,
        1324, 1326, 1328, 1330, 1332, 1206, 1222, 1223, 1273, 1294, 1296, 1298, 1300, 1301, 1302,
        1304, 1306, 1308, 1310, 1312, 1314, 1316, 1318, 1320, 1322, 1324, 1326, 1328, 1330, 1332,
        1207, 1222, 1223, 1274, 1294, 1296, 1298, 1300, 1302, 1303, 1304, 1306, 1308, 1310, 1312,
        1314, 1316, 1318, 1320, 1322, 1324, 1326, 1328, 1330, 1332, 1208, 1222, 1223, 1275, 1294,
        1296, 1298, 1300, 1302, 1304, 1305, 1306, 1308, 1310, 1312, 1314, 1316, 1318, 1320, 1322,
        1324, 1326, 1328, 1330, 1332, 1209, 1222, 1223, 1276, 1294, 1296, 1298, 1300, 1302, 1304,
        1306, 1307, 1308, 1310, 1312, 1314, 1316, 1318, 1320, 1322, 1324, 1326, 1328, 1330, 1332,
        1210, 1222, 1223, 1277, 1294, 1296, 1298, 1300, 1302, 1304, 1306, 1308, 1309, 1310, 1312,
        1314, 1316, 1318, 1320, 1322, 1324, 1326, 1328, 1330, 1332, 1211, 1222, 1223, 1278, 1294,
        1296, 1298, 1300, 1302, 1304, 1306, 1308, 1310, 1311, 1312, 1314, 1316, 1318, 1320, 1322,
        1324, 1326, 1328, 1330, 1332, 1212, 1222, 1223, 1279, 1294, 1296, 1298, 1300, 1302, 1304,
        1306, 1308, 1310, 1312, 1313, 1314, 1316, 1318, 1320, 1322, 1324, 1326, 1328, 1330, 1332,
        1213, 1222, 1223, 1280, 1294, 1296, 1298, 1300, 1302, 1304, 1306, 1308, 1310, 1312, 1314,
        1315, 1316, 1318, 1320, 1322, 1324, 1326, 1328, 1330, 1332, 1214, 1222, 1223, 1281, 1294,
        1296, 1298, 1300, 1302, 1304, 1306, 1308, 1310, 1312, 1314, 1316, 1317, 1318, 1320, 1322,
        1324, 1326, 1328, 1330, 1332, 1215, 1222, 1223, 1282, 1294, 1296, 1298, 1300, 1302, 1304,
        1306, 1308, 1310, 1312, 1314, 1316, 1318, 1319, 1320, 1322, 1324, 1326, 1328, 1330, 1332,
        1216, 1222, 1223, 1283, 1294, 1296, 1298, 1300, 1302, 1304, 1306, 1308, 1310, 1312, 1314,
        1316, 1318, 1320, 1321, 1322, 1324, 1326, 1328, 1330, 1332, 1217, 1222, 1223, 1284, 1294,
        1296, 1298, 1300, 1302, 1304, 1306, 1308, 1310, 1312, 1314, 1316, 1318, 1320, 1322, 1323,
        1324, 1326, 1328, 1330, 1332, 1218, 1222, 1223, 1285, 1294, 1296, 1298, 1300, 1302, 1304,
        1306, 1308, 1310, 1312, 1314, 1316, 1318, 1320, 1322, 1324, 1325, 1326, 1328, 1330, 1332,
        1219, 1222, 1223, 1286, 1294, 1296, 1298, 1300, 1302, 1304, 1306, 1308, 1310, 1312, 1314,
        1316, 1318, 1320, 1322, 1324, 1326, 1327, 1328, 1330, 1332, 1220, 1222, 1223, 1287, 1294,
        1296, 1298, 1300, 1302, 1304, 1306, 1308, 1310, 1312, 1314, 1316, 1318, 1320, 1322, 1324,
        1326, 1328, 1329, 1330, 1332, 1221, 1222, 1223, 1288, 1294, 1296, 1298, 1300, 1302, 1304,
        1306, 1308, 1310, 1312, 1314, 1316, 1318, 1320, 1322, 1324, 1326, 1328, 1330, 1331, 1332,
        1222, 1223, 1294, 1296, 1298, 1300, 1302, 1304, 1306, 1308, 1310, 1312, 1314, 1316, 1318,
        1320, 1322, 1324, 1326, 1328, 1330, 1332, 1333, 1202, 1222, 1269, 1295, 1297, 1299, 1301,
        1303, 1305, 1307, 1309, 1311, 1313, 1315, 1317, 1319, 1321, 1323, 1325, 1327, 1329, 1331,
        1333, 54, 1223, 1291, 1294, 1296, 1298, 1300, 1302, 1304, 1306, 1308, 1310, 1312, 1314,
        1316, 1318, 1320, 1322, 1324, 1326, 1328, 1330, 1332, 55, 1223, 1292, 1294, 1296, 1298,
        1300, 1302, 1304, 1306, 1308, 1310, 1312, 1314, 1316, 1318, 1320, 1322, 1324, 1326, 1328,
        1330, 1332, 1223, 1228, 1293, 1136, 1157, 1158, 1162, 1163, 1164, 1166, 1168, 1170, 1172,
        1174, 1176, 1178, 1180, 1182, 1184, 1186, 1188, 1190, 1192, 1194, 1196, 1198, 1200, 1203,
        1137, 1157, 1158, 1162, 1164, 1165, 1166, 1168, 1170, 1172, 1174, 1176, 1178, 1180, 1182,
        1184, 1186, 1188, 1190, 1192, 1194, 1196, 1198, 1200, 1204, 1138, 1157, 1158, 1162, 1164,
        1166, 1167, 1168, 1170, 1172, 1174, 1176, 1178, 1180, 1182, 1184, 1186, 1188, 1190, 1192,
        1194, 1196, 1198, 1200, 1205, 1139, 1157, 1158, 1162, 1164, 1166, 1168, 1169, 1170, 1172,
        1174, 1176, 1178, 1180, 1182, 1184, 1186, 1188, 1190, 1192, 1194, 1196, 1198, 1200, 1206,
        1140, 1157, 1158, 1162, 1164, 1166, 1168, 1170, 1171, 1172, 1174, 1176, 1178, 1180, 1182,
        1184, 1186, 1188, 1190, 1192, 1194, 1196, 1198, 1200, 1207, 1141, 1157, 1158, 1162, 1164,
        1166, 1168, 1170, 1172, 1173, 1174, 1176, 1178, 1180, 1182, 1184, 1186, 1188, 1190, 1192,
        1194, 1196, 1198, 1200, 1208, 1142, 1157, 1158, 1162, 1164, 1166, 1168, 1170, 1172, 1174,
        1175, 1176, 1178, 1180, 1182, 1184, 1186, 1188, 1190, 1192, 1194, 1196, 1198, 1200, 1209,
        1143, 1157, 1158, 1162, 1164, 1166, 1168, 1170, 1172, 1174, 1176, 1177, 1178, 1180, 1182,
        1184, 1186, 1188, 1190, 1192, 1194, 1196, 1198, 1200, 1210, 1144, 1157, 1158, 1162, 1164,
        1166, 1168, 1170, 1172, 1174, 1176, 1178, 1179, 1180, 1182, 1184, 1186, 1188, 1190, 1192,
        1194, 1196, 1198, 1200, 1211, 1145, 1157, 1158, 1162, 1164, 1166, 1168, 1170, 1172, 1174,
        1176, 1178, 1180, 1181, 1182, 1184, 1186, 1188, 1190, 1192, 1194, 1196, 1198, 1200, 1212,
        1146, 1157, 1158, 1162, 1164, 1166, 1168, 1170, 1172, 1174, 1176, 1178, 1180, 1182, 1183,
        1184, 1186, 1188, 1190, 1192, 1194, 1196, 1198, 1200, 1213, 1147, 1157, 1158, 1162, 1164,
        1166, 1168, 1170, 1172, 1174, 1176, 1178, 1180, 1182, 1184, 1185, 1186, 1188, 1190, 1192,
        1194, 1196, 1198, 1200, 1214, 1148, 1157, 1158, 1162, 1164, 1166, 1168, 1170, 1172, 1174,
        1176, 1178, 1180, 1182, 1184, 1186, 1187, 1188, 1190, 1192, 1194, 1196, 1198, 1200, 1215,
        1149, 1157, 1158, 1162, 1164, 1166, 1168, 1170, 1172, 1174, 1176, 1178, 1180, 1182, 1184,
        1186, 1188, 1189, 1190, 1192, 1194, 1196, 1198, 1200, 1216, 1150, 1157, 1158, 1162, 1164,
        1166, 1168, 1170, 1172, 1174, 1176, 1178, 1180, 1182, 1184, 1186, 1188, 1190, 1191, 1192,
        1194, 1196, 1198, 1200, 1217, 1151, 1157, 1158, 1162, 1164, 1166, 1168, 1170, 1172, 1174,
        1176, 1178, 1180, 1182, 1184, 1186, 1188, 1190, 1192, 1193, 1194, 1196, 1198, 1200, 1218,
        1152, 1157, 1158, 1162, 1164, 1166, 1168, 1170, 1172, 1174, 1176, 1178, 1180, 1182, 1184,
        1186, 1188, 1190, 1192, 1194, 1195, 1196, 1198, 1200, 1219, 1153, 1157, 1158, 1162, 1164,
        1166, 1168, 1170, 1172, 1174, 1176, 1178, 1180, 1182, 1184, 1186, 1188, 1190, 1192, 1194,
        1196, 1197, 1198, 1200, 1220, 1154, 1157, 1158, 1162, 1164, 1166, 1168, 1170, 1172, 1174,
        1176, 1178, 1180, 1182, 1184, 1186, 1188, 1190, 1192, 1194, 1196, 1198, 1199, 1200, 1221,
        1157, 1158, 1162, 1164, 1166, 1168, 1170, 1172, 1174, 1176, 1178, 1180, 1182, 1184, 1186,
        1188, 1190, 1192, 1194, 1196, 1198, 1200, 1201, 1135, 1157, 1163, 1165, 1167, 1169, 1171,
        1173, 1175, 1177, 1179, 1181, 1183, 1185, 1187, 1189, 1191, 1193, 1195, 1197, 1199, 1201,
        1202, 1158, 1159, 1158, 1160, 1158, 1161, 1228, 1136, 1155, 1156, 1203, 1229, 1230, 1231,
        1233, 1235, 1237, 1239, 1241, 1243, 1245, 1247, 1249, 1251, 1253, 1255, 1257, 1259, 1261,
        1263, 1265, 1267, 1137, 1155, 1156, 1204, 1229, 1231, 1232, 1233, 1235, 1237, 1239, 1241,
        1243, 1245, 1247, 1249, 1251, 1253, 1255, 1257, 1259, 1261, 1263, 1265, 1267, 1138, 1155,
        1156, 1205, 1229, 1231, 1233, 1234, 1235, 1237, 1239, 1241, 1243, 1245, 1247, 1249, 1251,
        1253, 1255, 1257, 1259, 1261, 1263, 1265, 1267, 1139, 1155, 1156, 1206, 1229, 1231, 1233,
        1235, 1236, 1237, 1239, 1241, 1243, 1245, 1247, 1249, 1251, 1253, 1255, 1257, 1259, 1261,
        1263, 1265, 1267, 1140, 1155, 1156, 1207, 1229, 1231, 1233, 1235, 1237, 1238, 1239, 1241,
        1243, 1245, 1247, 1249, 1251, 1253, 1255, 1257, 1259, 1261, 1263, 1265, 1267, 1141, 1155,
        1156, 1208, 1229, 1231, 1233, 1235, 1237, 1239, 1240, 1241, 1243, 1245, 1247, 1249, 1251,
        1253, 1255, 1257, 1259, 1261, 1263, 1265, 1267, 1142, 1155, 1156, 1209, 1229, 1231, 1233,
        1235, 1237, 1239, 1241, 1242, 1243, 1245, 1247, 1249, 1251, 1253, 1255, 1257, 1259, 1261,
        1263, 1265, 1267, 1143, 1155, 1156, 1210, 1229, 1231, 1233, 1235, 1237, 1239, 1241, 1243,
        1244, 1245, 1247, 1249, 1251, 1253, 1255, 1257, 1259, 1261, 1263, 1265, 1267, 1144, 1155,
        1156, 1211, 1229, 1231, 1233, 1235, 1237, 1239, 1241, 1243, 1245, 1246, 1247, 1249, 1251,
        1253, 1255, 1257, 1259, 1261, 1263, 1265, 1267, 1145, 1155, 1156, 1212, 1229, 1231, 1233,
        1235, 1237, 1239, 1241, 1243, 1245, 1247, 1248, 1249, 1251, 1253, 1255, 1257, 1259, 1261,
        1263, 1265, 1267, 1146, 1155, 1156, 1213, 1229, 1231, 1233, 1235, 1237, 1239, 1241, 1243,
        1245, 1247, 1249, 1250, 1251, 1253, 1255, 1257, 1259, 1261, 1263, 1265, 1267, 1147, 1155,
        1156, 1214, 1229, 1231, 1233, 1235, 1237, 1239, 1241, 1243, 1245, 1247, 1249, 1251, 1252,
        1253, 1255, 1257, 1259, 1261, 1263, 1265, 1267, 1148, 1155, 1156, 1215, 1229, 1231, 1233,
        1235, 1237, 1239, 1241, 1243, 1245, 1247, 1249, 1251, 1253, 1254, 1255, 1257, 1259, 1261,
        1263, 1265, 1267, 1149, 1155, 1156, 1216, 1229, 1231, 1233, 1235, 1237, 1239, 1241, 1243,
        1245, 1247, 1249, 1251, 1253, 1255, 1256, 1257, 1259, 1261, 1263, 1265, 1267, 1150, 1155,
        1156, 1217, 1229, 1231, 1233, 1235, 1237, 1239, 1241, 1243, 1245, 1247, 1249, 1251, 1253,
        1255, 1257, 1258, 1259, 1261, 1263, 1265, 1267, 1151, 1155, 1156, 1218, 1229, 1231, 1233,
        1235, 1237, 1239, 1241, 1243, 1245, 1247, 1249, 1251, 1253, 1255, 1257, 1259, 1260, 1261,
        1263, 1265, 1267, 1152, 1155, 1156, 1219, 1229, 1231, 1233, 1235, 1237, 1239, 1241, 1243,
        1245, 1247, 1249, 1251, 1253, 1255, 1257, 1259, 1261, 1262, 1263, 1265, 1267, 1153, 1155,
        1156, 1220, 1229, 1231, 1233, 1235, 1237, 1239, 1241, 1243, 1245, 1247, 1249, 1251, 1253,
        1255, 1257, 1259, 1261, 1263, 1264, 1265, 1267, 1154, 1155, 1156, 1221, 1229, 1231, 1233,
        1235, 1237, 1239, 1241, 1243, 1245, 1247, 1249, 1251, 1253, 1255, 1257, 1259, 1261, 1263,
        1265, 1266, 1267, 1155, 1156, 1229, 1231, 1233, 1235, 1237, 1239, 1241, 1243, 1245, 1247,
        1249, 1251, 1253, 1255, 1257, 1259, 1261, 1263, 1265, 1267, 1268, 1135, 1155, 1202, 1230,
        1232, 1234, 1236, 1238, 1240, 1242, 1244, 1246, 1248, 1250, 1252, 1254, 1256, 1258, 1260,
        1262, 1264, 1266, 1268, 52, 1156, 1226, 1229, 1231, 1233, 1235, 1237, 1239, 1241, 1243,
        1245, 1247, 1249, 1251, 1253, 1255, 1257, 1259, 1261, 1263, 1265, 1267, 53, 1156, 1227,
        1229, 1231, 1233, 1235, 1237, 1239, 1241, 1243, 1245, 1247, 1249, 1251, 1253, 1255, 1257,
        1259, 1261, 1263, 1265, 1267, 1156, 1161, 1228, 1203, 1224, 1225, 1229, 1230, 1231, 1233,
        1235, 1237, 1239, 1241, 1243, 1245, 1247, 1249, 1251, 1253, 1255, 1257, 1259, 1261, 1263,
        1265, 1267, 1270, 1204, 1224, 1225, 1229, 1231, 1232, 1233, 1235, 1237, 1239, 1241, 1243,
        1245, 1247, 1249, 1251, 1253, 1255, 1257, 1259, 1261, 1263, 1265, 1267, 1271, 1205, 1224,
        1225, 1229, 1231, 1233, 1234, 1235, 1237, 1239, 1241, 1243, 1245, 1247, 1249, 1251, 1253,
        1255, 1257, 1259, 1261, 1263, 1265, 1267, 1272, 1206, 1224, 1225, 1229, 1231, 1233, 1235,
        1236, 1237, 1239, 1241, 1243, 1245, 1247, 1249, 1251, 1253, 1255, 1257, 1259, 1261, 1263,
        1265, 1267, 1273, 1207, 1224, 1225, 1229, 1231, 1233, 1235, 1237, 1238, 1239, 1241, 1243,
        1245, 1247, 1249, 1251, 1253, 1255, 1257, 1259, 1261, 1263, 1265, 1267, 1274, 1208, 1224,
        1225, 1229, 1231, 1233, 1235, 1237, 1239, 1240, 1241, 1243, 1245, 1247, 1249, 1251, 1253,
        1255, 1257, 1259, 1261, 1263, 1265, 1267, 1275, 1209, 1224, 1225, 1229, 1231, 1233, 1235,
        1237, 1239, 1241, 1242, 1243, 1245, 1247, 1249, 1251, 1253, 1255, 1257, 1259, 1261, 1263,
        1265, 1267, 1276, 1210, 1224, 1225, 1229, 1231, 1233, 1235, 1237, 1239, 1241, 1243, 1244,
        1245, 1247, 1249, 1251, 1253, 1255, 1257, 1259, 1261, 1263, 1265, 1267, 1277, 1211, 1224,
        1225, 1229, 1231, 1233, 1235, 1237, 1239, 1241, 1243, 1245, 1246, 1247, 1249, 1251, 1253,
        1255, 1257, 1259, 1261, 1263, 1265, 1267, 1278, 1212, 1224, 1225, 1229, 1231, 1233, 1235,
        1237, 1239, 1241, 1243, 1245, 1247, 1248, 1249, 1251, 1253, 1255, 1257, 1259, 1261, 1263,
        1265, 1267, 1279, 1213, 1224, 1225, 1229, 1231, 1233, 1235, 1237, 1239, 1241, 1243, 1245,
        1247, 1249, 1250, 1251, 1253, 1255, 1257, 1259, 1261, 1263, 1265, 1267, 1280, 1214, 1224,
        1225, 1229, 1231, 1233, 1235, 1237, 1239, 1241, 1243, 1245, 1247, 1249, 1251, 1252, 1253,
        1255, 1257, 1259, 1261, 1263, 1265, 1267, 1281, 1215, 1224, 1225, 1229, 1231, 1233, 1235,
        1237, 1239, 1241, 1243, 1245, 1247, 1249, 1251, 1253, 1254, 1255, 1257, 1259, 1261, 1263,
        1265, 1267, 1282, 1216, 1224, 1225, 1229, 1231, 1233, 1235, 1237, 1239, 1241, 1243, 1245,
        1247, 1249, 1251, 1253, 1255, 1256, 1257, 1259, 1261, 1263, 1265, 1267, 1283, 1217, 1224,
        1225, 1229, 1231, 1233, 1235, 1237, 1239, 1241, 1243, 1245, 1247, 1249, 1251, 1253, 1255,
        1257, 1258, 1259, 1261, 1263, 1265, 1267, 1284, 1218, 1224, 1225, 1229, 1231, 1233, 1235,
        1237, 1239, 1241, 1243, 1245, 1247, 1249, 1251, 1253, 1255, 1257, 1259, 1260, 1261, 1263,
        1265, 1267, 1285, 1219, 1224, 1225, 1229, 1231, 1233, 1235, 1237, 1239, 1241, 1243, 1245,
        1247, 1249, 1251, 1253, 1255, 1257, 1259, 1261, 1262, 1263, 1265, 1267, 1286, 1220, 1224,
        1225, 1229, 1231, 1233, 1235, 1237, 1239, 1241, 1243, 1245, 1247, 1249, 1251, 1253, 1255,
        1257, 1259, 1261, 1263, 1264, 1265, 1267, 1287, 1221, 1224, 1225, 1229, 1231, 1233, 1235,
        1237, 1239, 1241, 1243, 1245, 1247, 1249, 1251, 1253, 1255, 1257, 1259, 1261, 1263, 1265,
        1266, 1267, 1288, 1224, 1225, 1229, 1231, 1233, 1235, 1237, 1239, 1241, 1243, 1245, 1247,
        1249, 1251, 1253, 1255, 1257, 1259, 1261, 1263, 1265, 1267, 1268, 1202, 1224, 1230, 1232,
        1234, 1236, 1238, 1240, 1242, 1244, 1246, 1248, 1250, 1252, 1254, 1256, 1258, 1260, 1262,
        1264, 1266, 1268, 1269, 1225, 1226, 1225, 1227, 1225, 1228, 1293, 846, 865, 866, 870, 871,
        872, 874, 876, 878, 880, 882, 884, 886, 888, 890, 892, 894, 896, 898, 900, 902, 904, 906,
        908, 847, 865, 866, 870, 872, 873, 874, 876, 878, 880, 882, 884, 886, 888, 890, 892, 894,
        896, 898, 900, 902, 904, 906, 908, 848, 865, 866, 870, 872, 874, 875, 876, 878, 880, 882,
        884, 886, 888, 890, 892, 894, 896, 898, 900, 902, 904, 906, 908, 849, 865, 866, 870, 872,
        874, 876, 877, 878, 880, 882, 884, 886, 888, 890, 892, 894, 896, 898, 900, 902, 904, 906,
        908, 850, 865, 866, 870, 872, 874, 876, 878, 879, 880, 882, 884, 886, 888, 890, 892, 894,
        896, 898, 900, 902, 904, 906, 908, 851, 865, 866, 870, 872, 874, 876, 878, 880, 881, 882,
        884, 886, 888, 890, 892, 894, 896, 898, 900, 902, 904, 906, 908, 852, 865, 866, 870, 872,
        874, 876, 878, 880, 882, 883, 884, 886, 888, 890, 892, 894, 896, 898, 900, 902, 904, 906,
        908, 853, 865, 866, 870, 872, 874, 876, 878, 880, 882, 884, 885, 886, 888, 890, 892, 894,
        896, 898, 900, 902, 904, 906, 908, 854, 865, 866, 870, 872, 874, 876, 878, 880, 882, 884,
        886, 887, 888, 890, 892, 894, 896, 898, 900, 902, 904, 906, 908, 855, 865, 866, 870, 872,
        874, 876, 878, 880, 882, 884, 886, 888, 889, 890, 892, 894, 896, 898, 900, 902, 904, 906,
        908, 856, 865, 866, 870, 872, 874, 876, 878, 880, 882, 884, 886, 888, 890, 891, 892, 894,
        896, 898, 900, 902, 904, 906, 908, 857, 865, 866, 870, 872, 874, 876, 878, 880, 882, 884,
        886, 888, 890, 892, 893, 894, 896, 898, 900, 902, 904, 906, 908, 858, 865, 866, 870, 872,
        874, 876, 878, 880, 882, 884, 886, 888, 890, 892, 894, 895, 896, 898, 900, 902, 904, 906,
        908, 859, 865, 866, 870, 872, 874, 876, 878, 880, 882, 884, 886, 888, 890, 892, 894, 896,
        897, 898, 900, 902, 904, 906, 908, 860, 865, 866, 870, 872, 874, 876, 878, 880, 882, 884,
        886, 888, 890, 892, 894, 896, 898, 899, 900, 902, 904, 906, 908, 861, 865, 866, 870, 872,
        874, 876, 878, 880, 882, 884, 886, 888, 890, 892, 894, 896, 898, 900, 901, 902, 904, 906,
        908, 862, 865, 866, 870, 872, 874, 876, 878, 880, 882, 884, 886, 888, 890, 892, 894, 896,
        898, 900, 902, 903, 904, 906, 908, 863, 865, 866, 870, 872, 874, 876, 878, 880, 882, 884,
        886, 888, 890, 892, 894, 896, 898, 900, 902, 904, 905, 906, 908, 864, 865, 866, 870, 872,
        874, 876, 878, 880, 882, 884, 886, 888, 890, 892, 894, 896, 898, 900, 902, 904, 906, 907,
        908, 865, 866, 870, 872, 874, 876, 878, 880, 882, 884, 886, 888, 890, 892, 894, 896, 898,
        900, 902, 904, 906, 908, 909, 845, 865, 871, 873, 875, 877, 879, 881, 883, 885, 887, 889,
        891, 893, 895, 897, 899, 901, 903, 905, 907, 909, 42, 866, 867, 870, 872, 874, 876, 878,
        880, 882, 884, 886, 888, 890, 892, 894, 896, 898, 900, 902, 904, 906, 908, 43, 866, 868,
        870, 872, 874, 876, 878, 880, 882, 884, 886, 888, 890, 892, 894, 896, 898, 900, 902, 904,
        906, 908, 866, 869, 112, 57, 161, 185, 211, 212, 213, 214, 215, 216, 217, 218, 219, 220,
        221, 222, 223, 224, 225, 226, 227, 228, 229, 230, 231, 232, 233, 234, 235, 236, 237, 238,
        239, 240, 241, 242, 243, 244, 245, 246, 247, 248, 249, 250, 251, 58, 300, 324, 350, 351,
        352, 353, 354, 355, 356, 357, 358, 359, 360, 361, 362, 363, 364, 365, 366, 367, 368, 369,
        370, 371, 372, 373, 374, 375, 376, 377, 378, 379, 380, 381, 382, 383, 384, 385, 386, 387,
        388, 389, 390, 413, 441, 442, 443, 444, 445, 446, 447, 448, 449, 450, 451, 452, 453, 454,
        455, 456, 457, 458, 459, 460, 461, 462, 463, 464, 465, 466, 467, 468, 469, 470, 471, 472,
        473, 474, 475, 476, 477, 478, 479, 480, 481, 536, 537, 538, 539, 540, 541, 542, 543, 544,
        545, 546, 547, 548, 549, 550, 551, 552, 553, 554, 555, 556, 557, 558, 559, 560, 561, 562,
        563, 564, 565, 566, 567, 568, 569, 570, 571, 572, 573, 574, 575, 576, 603, 604, 605, 606,
        607, 608, 609, 610, 611, 612, 613, 614, 615, 616, 617, 618, 619, 620, 621, 622, 623, 624,
        625, 626, 627, 628, 629, 630, 631, 632, 633, 634, 635, 636, 637, 638, 639, 640, 641, 642,
        643, 670, 671, 672, 673, 674, 675, 676, 677, 678, 679, 680, 681, 682, 683, 684, 685, 686,
        687, 688, 689, 690, 691, 692, 693, 694, 695, 696, 697, 698, 699, 700, 701, 702, 703, 704,
        705, 706, 707, 708, 709, 710, 737, 738, 739, 740, 741, 742, 743, 744, 745, 746, 747, 748,
        749, 750, 751, 752, 753, 754, 755, 756, 757, 758, 759, 760, 761, 762, 763, 764, 765, 766,
        767, 768, 769, 770, 771, 772, 773, 774, 775, 776, 777, 804, 805, 806, 807, 808, 809, 810,
        811, 812, 813, 814, 815, 816, 817, 818, 819, 820, 821, 822, 823, 824, 825, 826, 827, 828,
        829, 830, 831, 832, 833, 834, 835, 836, 837, 838, 839, 840, 841, 842, 843, 844, 869, 870,
        871, 872, 873, 874, 875, 876, 877, 878, 879, 880, 881, 882, 883, 884, 885, 886, 887, 888,
        889, 890, 891, 892, 893, 894, 895, 896, 897, 898, 899, 900, 901, 902, 903, 904, 905, 906,
        907, 908, 909, 960, 961, 962, 963, 964, 965, 966, 967, 968, 969, 970, 971, 972, 973, 974,
        975, 976, 977, 978, 979, 980, 981, 982, 983, 984, 985, 986, 987, 988, 989, 990, 991, 992,
        993, 994, 995, 996, 997, 998, 999, 1000, 1027, 1028, 1029, 1030, 1031, 1032, 1033, 1034,
        1035, 1036, 1037, 1038, 1039, 1040, 1041, 1042, 1043, 1044, 1045, 1046, 1047, 1048, 1049,
        1050, 1051, 1052, 1053, 1054, 1055, 1056, 1057, 1058, 1059, 1060, 1061, 1062, 1063, 1064,
        1065, 1066, 1067, 1094, 1095, 1096, 1097, 1098, 1099, 1100, 1101, 1102, 1103, 1104, 1105,
        1106, 1107, 1108, 1109, 1110, 1111, 1112, 1113, 1114, 1115, 1116, 1117, 1118, 1119, 1120,
        1121, 1122, 1123, 1124, 1125, 1126, 1127, 1128, 1129, 1130, 1131, 1132, 1133, 1134, 1161,
        1162, 1163, 1164, 1165, 1166, 1167, 1168, 1169, 1170, 1171, 1172, 1173, 1174, 1175, 1176,
        1177, 1178, 1179, 1180, 1181, 1182, 1183, 1184, 1185, 1186, 1187, 1188, 1189, 1190, 1191,
        1192, 1193, 1194, 1195, 1196, 1197, 1198, 1199, 1200, 1201, 1228, 1229, 1230, 1231, 1232,
        1233, 1234, 1235, 1236, 1237, 1238, 1239, 1240, 1241, 1242, 1243, 1244, 1245, 1246, 1247,
        1248, 1249, 1250, 1251, 1252, 1253, 1254, 1255, 1256, 1257, 1258, 1259, 1260, 1261, 1262,
        1263, 1264, 1265, 1266, 1267, 1268, 1293, 1294, 1295, 1296, 1297, 1298, 1299, 1300, 1301,
        1302, 1303, 1304, 1305, 1306, 1307, 1308, 1309, 1310, 1311, 1312, 1313, 1314, 1315, 1316,
        1317, 1318, 1319, 1320, 1321, 1322, 1323, 1324, 1325, 1326, 1327, 1328, 1329, 1330, 1331,
        1332, 1333, 59, 1377, 1356, 1357, 1358, 1359, 1360, 1361, 1362, 1363, 1364, 1365, 1366,
        1367, 1368, 1369, 1370, 1371, 1372, 1373, 1374, 1375, 1376, 1377, 1406, 60, 1475,
    ];

    let colst = vec![
        0, 4, 8, 12, 16, 20, 24, 28, 32, 36, 40, 44, 48, 52, 56, 60, 64, 68, 72, 76, 79, 81, 83,
        86, 88, 92, 96, 100, 104, 108, 112, 116, 120, 124, 128, 132, 136, 140, 144, 148, 152, 156,
        160, 164, 166, 169, 170, 173, 176, 180, 184, 188, 192, 196, 200, 204, 208, 212, 216, 220,
        224, 228, 232, 236, 240, 244, 248, 252, 254, 257, 259, 262, 265, 269, 273, 277, 281, 285,
        289, 293, 297, 301, 305, 309, 313, 317, 321, 325, 329, 333, 337, 341, 343, 346, 349, 352,
        355, 358, 361, 364, 367, 370, 373, 376, 379, 382, 385, 388, 391, 394, 397, 400, 403, 406,
        409, 412, 413, 416, 417, 419, 421, 446, 471, 496, 521, 546, 571, 596, 621, 646, 671, 696,
        721, 746, 771, 796, 821, 846, 871, 896, 919, 942, 965, 989, 992, 1017, 1042, 1067, 1092,
        1117, 1142, 1167, 1192, 1217, 1242, 1267, 1292, 1317, 1342, 1367, 1392, 1417, 1442, 1467,
        1490, 1513, 1515, 1518, 1521, 1525, 1529, 1533, 1537, 1541, 1545, 1549, 1553, 1557, 1561,
        1565, 1569, 1573, 1577, 1581, 1585, 1589, 1593, 1597, 1599, 1602, 1605, 1608, 1611, 1614,
        1617, 1620, 1623, 1626, 1629, 1632, 1635, 1638, 1641, 1644, 1647, 1650, 1653, 1656, 1659,
        1662, 1665, 1668, 1669, 1672, 1673, 1675, 1677, 1702, 1727, 1752, 1777, 1802, 1827, 1852,
        1877, 1902, 1927, 1952, 1977, 2002, 2027, 2052, 2077, 2102, 2127, 2152, 2175, 2198, 2221,
        2245, 2248, 2273, 2298, 2323, 2348, 2373, 2398, 2423, 2448, 2473, 2498, 2523, 2548, 2573,
        2598, 2623, 2648, 2673, 2698, 2723, 2746, 2769, 2772, 2775, 2778, 2781, 2784, 2787, 2790,
        2793, 2796, 2799, 2802, 2805, 2808, 2811, 2814, 2817, 2820, 2823, 2826, 2829, 2832, 2835,
        2836, 2839, 2840, 2842, 2844, 2848, 2852, 2856, 2860, 2864, 2868, 2872, 2876, 2880, 2884,
        2888, 2892, 2896, 2900, 2904, 2908, 2912, 2916, 2920, 2922, 2925, 2927, 2930, 2933, 2937,
        2941, 2945, 2949, 2953, 2957, 2961, 2965, 2969, 2973, 2977, 2981, 2985, 2989, 2993, 2997,
        3001, 3005, 3009, 3011, 3014, 3016, 3019, 3022, 3026, 3030, 3034, 3038, 3042, 3046, 3050,
        3054, 3058, 3062, 3066, 3070, 3074, 3078, 3082, 3086, 3090, 3094, 3098, 3100, 3103, 3104,
        3107, 3110, 3113, 3116, 3119, 3122, 3125, 3128, 3131, 3134, 3137, 3140, 3143, 3146, 3149,
        3152, 3155, 3158, 3161, 3164, 3167, 3169, 3171, 3173, 3175, 3177, 3203, 3229, 3255, 3281,
        3307, 3333, 3359, 3385, 3411, 3437, 3463, 3489, 3515, 3541, 3567, 3593, 3619, 3645, 3671,
        3695, 3718, 3722, 3726, 3730, 3732, 3734, 3736, 3738, 3740, 3742, 3744, 3746, 3748, 3750,
        3752, 3754, 3756, 3758, 3760, 3762, 3764, 3766, 3768, 3769, 3771, 3772, 3773, 3774, 3778,
        3782, 3786, 3790, 3794, 3798, 3802, 3806, 3810, 3814, 3818, 3822, 3826, 3830, 3834, 3838,
        3842, 3846, 3850, 3852, 3855, 3856, 3858, 3861, 3865, 3869, 3873, 3877, 3881, 3885, 3889,
        3893, 3897, 3901, 3905, 3909, 3913, 3917, 3921, 3925, 3929, 3933, 3937, 3939, 3942, 3944,
        3947, 3950, 3954, 3958, 3962, 3966, 3970, 3974, 3978, 3982, 3986, 3990, 3994, 3998, 4002,
        4006, 4010, 4014, 4018, 4022, 4026, 4028, 4031, 4033, 4036, 4039, 4064, 4089, 4114, 4139,
        4164, 4189, 4214, 4239, 4264, 4289, 4314, 4339, 4364, 4389, 4414, 4439, 4464, 4489, 4514,
        4537, 4560, 4583, 4607, 4610, 4635, 4660, 4685, 4710, 4735, 4760, 4785, 4810, 4835, 4860,
        4885, 4910, 4935, 4960, 4985, 5010, 5035, 5060, 5085, 5108, 5131, 5133, 5136, 5139, 5143,
        5147, 5151, 5155, 5159, 5163, 5167, 5171, 5175, 5179, 5183, 5187, 5191, 5195, 5199, 5203,
        5207, 5211, 5215, 5217, 5220, 5221, 5223, 5226, 5251, 5276, 5301, 5326, 5351, 5376, 5401,
        5426, 5451, 5476, 5501, 5526, 5551, 5576, 5601, 5626, 5651, 5676, 5701, 5724, 5747, 5749,
        5751, 5754, 5779, 5804, 5829, 5854, 5879, 5904, 5929, 5954, 5979, 6004, 6029, 6054, 6079,
        6104, 6129, 6154, 6179, 6204, 6229, 6252, 6275, 6298, 6321, 6324, 6349, 6374, 6399, 6424,
        6449, 6474, 6499, 6524, 6549, 6574, 6599, 6624, 6649, 6674, 6699, 6724, 6749, 6774, 6799,
        6822, 6845, 6847, 6850, 6853, 6878, 6903, 6928, 6953, 6978, 7003, 7028, 7053, 7078, 7103,
        7128, 7153, 7178, 7203, 7228, 7253, 7278, 7303, 7328, 7351, 7374, 7397, 7420, 7423, 7427,
        7431, 7435, 7439, 7443, 7447, 7451, 7455, 7459, 7463, 7467, 7471, 7475, 7479, 7483, 7487,
        7491, 7495, 7499, 7501, 7504, 7505, 7507, 7510, 7535, 7560, 7585, 7610, 7635, 7660, 7685,
        7710, 7735, 7760, 7785, 7810, 7835, 7860, 7885, 7910, 7935, 7960, 7985, 8008, 8031, 8054,
        8078, 8081, 8106, 8131, 8156, 8181, 8206, 8231, 8256, 8281, 8306, 8331, 8356, 8381, 8406,
        8431, 8456, 8481, 8506, 8531, 8556, 8579, 8602, 8604, 8606, 8609, 8634, 8659, 8684, 8709,
        8734, 8759, 8784, 8809, 8834, 8859, 8884, 8909, 8934, 8959, 8984, 9009, 9034, 9059, 9084,
        9107, 9130, 9153, 9176, 9179, 9204, 9229, 9254, 9279, 9304, 9329, 9354, 9379, 9404, 9429,
        9454, 9479, 9504, 9529, 9554, 9579, 9604, 9629, 9654, 9677, 9700, 9702, 9704, 9707, 9732,
        9757, 9782, 9807, 9832, 9857, 9882, 9907, 9932, 9957, 9982, 10007, 10032, 10057, 10082,
        10107, 10132, 10157, 10182, 10205, 10228, 10251, 10274, 10277, 10302, 10327, 10352, 10377,
        10402, 10427, 10452, 10477, 10502, 10527, 10552, 10577, 10602, 10627, 10652, 10677, 10702,
        10727, 10752, 10775, 10798, 10800, 10802, 10805, 10830, 10855, 10880, 10905, 10930, 10955,
        10980, 11005, 11030, 11055, 11080, 11105, 11130, 11155, 11180, 11205, 11230, 11255, 11280,
        11303, 11326, 11349, 11372, 11375, 11400, 11425, 11450, 11475, 11500, 11525, 11550, 11575,
        11600, 11625, 11650, 11675, 11700, 11725, 11750, 11775, 11800, 11825, 11850, 11873, 11896,
        11898, 11900, 11903, 11928, 11953, 11978, 12003, 12028, 12053, 12078, 12103, 12128, 12153,
        12178, 12203, 12228, 12253, 12278, 12303, 12328, 12353, 12378, 12401, 12424, 12447, 12470,
        12473, 12498, 12523, 12548, 12573, 12598, 12623, 12648, 12673, 12698, 12723, 12748, 12773,
        12798, 12823, 12848, 12873, 12898, 12923, 12948, 12971, 12994, 12996, 12998, 13001, 13026,
        13051, 13076, 13101, 13126, 13151, 13176, 13201, 13226, 13251, 13276, 13301, 13326, 13351,
        13376, 13401, 13426, 13451, 13476, 13499, 13522, 13545, 13568, 13571, 13596, 13621, 13646,
        13671, 13696, 13721, 13746, 13771, 13796, 13821, 13846, 13871, 13896, 13921, 13946, 13971,
        13996, 14021, 14046, 14069, 14092, 14094, 14096, 14099, 14124, 14149, 14174, 14199, 14224,
        14249, 14274, 14299, 14324, 14349, 14374, 14399, 14424, 14449, 14474, 14499, 14524, 14549,
        14574, 14597, 14620, 14643, 14666, 14669, 14694, 14719, 14744, 14769, 14794, 14819, 14844,
        14869, 14894, 14919, 14944, 14969, 14994, 15019, 15044, 15069, 15094, 15119, 15144, 15167,
        15190, 15192, 15194, 15197, 15222, 15247, 15272, 15297, 15322, 15347, 15372, 15397, 15422,
        15447, 15472, 15497, 15522, 15547, 15572, 15597, 15622, 15647, 15672, 15695, 15718, 15741,
        15764, 15767, 15792, 15817, 15842, 15867, 15892, 15917, 15942, 15967, 15992, 16017, 16042,
        16067, 16092, 16117, 16142, 16167, 16192, 16217, 16242, 16265, 16288, 16290, 16292, 16295,
        16320, 16345, 16370, 16395, 16420, 16445, 16470, 16495, 16520, 16545, 16570, 16595, 16620,
        16645, 16670, 16695, 16720, 16745, 16770, 16793, 16816, 16839, 16862, 16865, 16890, 16915,
        16940, 16965, 16990, 17015, 17040, 17065, 17090, 17115, 17140, 17165, 17190, 17215, 17240,
        17265, 17290, 17315, 17340, 17363, 17386, 17388, 17390, 17393, 17417, 17441, 17465, 17489,
        17513, 17537, 17561, 17585, 17609, 17633, 17657, 17681, 17705, 17729, 17753, 17777, 17801,
        17825, 17849, 17872, 17894, 17917, 17940, 17942, 17943, 17945, 17946, 17947, 17949, 17951,
        17953, 17955, 17957, 17959, 17961, 17963, 17965, 17967, 17969, 17971, 17973, 17975, 17977,
        17979, 17981, 17983, 17985, 17987, 17989, 17990, 17991, 17993, 17995, 17997, 17999, 18001,
        18003, 18005, 18007, 18009, 18011, 18013, 18015, 18017, 18019, 18021, 18023, 18025, 18027,
        18029, 18031, 18032, 18033, 18035, 18037, 18039, 18041, 18043, 18045, 18047, 18049, 18051,
        18053, 18055, 18057, 18059, 18061, 18063, 18065, 18067, 18069, 18071, 18073, 18074, 18076,
        18078, 18080, 18082, 18084, 18086, 18088, 18090, 18092, 18094, 18096, 18098, 18100, 18102,
        18104, 18106, 18108, 18110, 18112, 18114, 18115, 18117, 18119, 18121, 18123, 18125, 18127,
        18129, 18131, 18133, 18135, 18137, 18139, 18141, 18143, 18145, 18147, 18149, 18151, 18153,
        18155, 18156, 18158, 18160, 18162, 18164, 18166, 18168, 18170, 18172, 18174, 18176, 18178,
        18180, 18182, 18184, 18186, 18188, 18190, 18192, 18194, 18196, 18197, 18199, 18201, 18203,
        18205, 18207, 18209, 18211, 18213, 18215, 18217, 18219, 18221, 18223, 18225, 18227, 18229,
        18231, 18233, 18235, 18237, 18238, 18240, 18242, 18244, 18246, 18248, 18250, 18252, 18254,
        18256, 18258, 18260, 18262, 18264, 18266, 18268, 18270, 18272, 18274, 18276, 18278, 18279,
        18281, 18283, 18285, 18287, 18289, 18291, 18293, 18295, 18297, 18299, 18301, 18303, 18305,
        18307, 18309, 18311, 18313, 18315, 18317, 18319, 18320, 18322, 18324, 18326, 18328, 18330,
        18332, 18334, 18336, 18338, 18340, 18342, 18344, 18346, 18348, 18350, 18352, 18354, 18356,
        18358, 18360, 18361, 18363, 18365, 18367, 18369, 18371, 18373, 18375, 18377, 18379, 18381,
        18383, 18385, 18387, 18389, 18391, 18393, 18395, 18397, 18399, 18401, 18402, 18404, 18406,
        18408, 18410, 18412, 18414, 18416, 18418, 18420, 18422, 18424, 18426, 18428, 18430, 18432,
        18434, 18436, 18438, 18440, 18442, 18443, 18445, 18447, 18449, 18451, 18453, 18455, 18457,
        18459, 18461, 18463, 18465, 18467, 18469, 18471, 18473, 18475, 18477, 18479, 18481, 18483,
        18484, 18486, 18488, 18490, 18492, 18494, 18496, 18498, 18500, 18502, 18504, 18506, 18508,
        18510, 18512, 18514, 18516, 18518, 18520, 18522, 18524, 18525, 18527, 18529, 18531, 18533,
        18535, 18537, 18539, 18541, 18543, 18545, 18547, 18549, 18551, 18553, 18555, 18557, 18559,
        18561, 18563, 18565, 18567, 18589, 18590, 18592,
    ];

    let nz = vec![
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}