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

fn main() {
    input! {
        k : usize, q : usize,
        d : [u64; k],
        q : [(u64,u64,u64); q]
    }

    for (n, x, m) in q {
        let s = {
            let mut s = vec![0; k + 1];
            for i in 0..k {
                let x = d[i] % m;
                s[i + 1] = s[i] + x;
                if x == 0 {
                    s[i + 1] += m;
                }
            }
            s
        };
        let n = n - 1;
        let l = x;
        let r = x + n / k as u64 * s[k] + s[n as usize % k];
        println!("{}", n - (r / m - l / m));
    }
}
*/

fn main() {
    let exe = "/tmp/binD041EDE5";
    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 = "
f0VMRgIBAQAAAAAAAAAAAAIAPgABAAAAYANAAAAAAABAAAAAAAAAAHCCAwAAAAAAAAAAAEAAOAAHAEAA
EAAPAAEAAAAFAAAAAAAAAAAAAAAAAEAAAAAAAAAAQAAAAAAAKGEDAAAAAAAoYQMAAAAAAAAAIAAAAAAA
AQAAAAYAAADgaQMAAAAAAOBpYwAAAAAA4GljAAAAAAD4FwAAAAAAAEgzAAAAAAAAAAAgAAAAAAAEAAAA
BAAAAMgBAAAAAAAAyAFAAAAAAADIAUAAAAAAACQAAAAAAAAAJAAAAAAAAAAEAAAAAAAAAAcAAAAEAAAA
4GkDAAAAAADgaWMAAAAAAOBpYwAAAAAAMAAAAAAAAADIAAAAAAAAACAAAAAAAAAAUOV0ZAQAAABsHAMA
AAAAAGwcQwAAAAAAbBxDAAAAAADMCQAAAAAAAMwJAAAAAAAABAAAAAAAAABR5XRkBgAAAAAAAAAAAAAA
AAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAQAAAAAAAAAFLldGQEAAAA4GkDAAAAAADgaWMA
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