// This code is generated by [cargo-atcoder](https://github.com/tanakh/cargo-atcoder)
// Original source code:
/*
use proconio::input;

fn main() {
    input! {
        k: usize,
        q: usize,
        dv: [usize; k],
        qv: [(usize, usize, usize); q]
    };

    for iq in 0..q {
        let (n, x, m) = qv[iq];
        let mut eq = 0;
        let mut xj = x;
        for ik in 0..k {
            let dm = dv[ik] % m;
            let c = ((n - 1 - ik) + (k - 1)) / k;
            if dm == 0 {
                eq += c;
            } else {
                xj += dm * c;
            }
        }
        let gt = xj / m - x / m;
        let ans = (n - 1) - gt - eq;
        println!("{}", ans);
    }
}
*/

fn main() {
    let exe = "/tmp/binCD68A5EB";
    std::io::Write::write_all(&mut std::fs::File::create(exe).unwrap(), &decode(BIN)).unwrap();
    std::fs::set_permissions(exe, std::os::unix::fs::PermissionsExt::from_mode(0o755)).unwrap();
    std::process::exit(std::process::Command::new(exe).status().unwrap().code().unwrap())
}

fn decode(v: &str) -> Vec<u8> {
    let mut ret = vec![];
    let mut buf = 0;
    let mut tbl = vec![64; 256];
    for i in 0..64 { tbl[TBL[i] as usize] = i as u8; }
    for (i, c) in v.bytes().filter_map(|c| { let c = tbl[c as usize]; if c < 64 { Some(c) } else { None } }).enumerate() {
        match i % 4 {
            0 => buf = c << 2,
            1 => { ret.push(buf | c >> 4); buf = c << 4; }
            2 => { ret.push(buf | c >> 2); buf = c << 6; }
            3 => ret.push(buf | c),
            _ => unreachable!(),
        }
    }
    ret
}

const TBL: &'static [u8] = b"ABCDEFGHIJKLMNOPQRSTUVWXYZabcdefghijklmnopqrstuvwxyz0123456789+/";
const BIN: &'static str = "
f0VMRgIBAQAAAAAAAAAAAAIAPgABAAAAEANAAAAAAABAAAAAAAAAAGCSAwAAAAAAAAAAAEAAOAAGAEAA
DwAOAAEAAAAFAAAAAAAAAAAAAAAAAEAAAAAAAAAAQAAAAAAAiGYDAAAAAACIZgMAAAAAAAAAIAAAAAAA
AQAAAAYAAABAdgMAAAAAAEB2YwAAAAAAQHZjAAAAAACYGwAAAAAAAOg2AAAAAAAAAAAgAAAAAAAHAAAA
BAAAAEB2AwAAAAAAQHZjAAAAAABAdmMAAAAAADAAAAAAAAAAyAAAAAAAAAAgAAAAAAAAAFDldGQEAAAA
rB4DAAAAAACsHkMAAAAAAKweQwAAAAAA1AkAAAAAAADUCQAAAAAAAAQAAAAAAAAAUeV0ZAYAAAAAAAAA
AAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAEAAAAAAAAABS5XRkBAAAAEB2AwAAAAAA
QHZjAAAAAABAdmMAAAAAAMAZAAAAAAAAwBkAAAAAAAABAAAAAAAAAFBYwwAAAAAAAAAAAAAAAABBV0FW
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