// This code is generated by [cargo-atcoder](https://github.com/tanakh/cargo-atcoder)
// Original source code:
/*
use proconio::input;
#[allow(unused_imports)]
use std::cmp::{max, min};
use std::collections::BTreeSet;

fn main() {
    input! {
        n: usize,
        k: usize,
        a: [usize; n],
    }

    let mut sum = 0;
    for &ai in &a {
        sum += ai;
    }
    let sum = sum;

    let mut divs = BTreeSet::new();
    for i in 1..=sum {
        if i * i > sum {
            break;
        }

        if sum % i == 0 {
            divs.insert(i);
            divs.insert(sum / i);
        }
    }

    let mut ans = 1;
    for d in divs {
        let mut b = vec![];
        for &ai in &a {
            b.push(ai % d);
        }
        b.sort();
        let b = b;

        let mut tot = 0;
        for &bi in &b {
            tot += bi;
        }
        let l = n - tot / d;
        let mut need = 0;
        for i in 0..l {
            need += b[i];
        }

        if need <= k {
            ans = std::cmp::max(ans, d);
        }
    }

    println!("{}", ans);
}
*/

fn main() {
    let exe = "/tmp/binA5626851";
    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 = "
f0VMRgIBAQAAAAAAAAAAAAIAPgABAAAAIL9BAAAAAABAAAAAAAAAAAAAAAAAAAAAAAAAAEAAOAADAEAA
AAAAAAEAAAAFAAAAAAAAAAAAAAAAAEAAAAAAAAAAQAAAAAAAZ8gBAAAAAABnyAEAAAAAAAAQAAAAAAAA
AQAAAAYAAAAAAAAAAAAAAADQQQAAAAAAANBBAAAAAAAAAAAAAAAAACgdAgAAAAAAABAAAAAAAABR5XRk
BgAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAQAAAAAAAAANw7hWlVUFgh
UAkNFgAAAABwxgMAcMYDADgCAADFAAAAAgAAAPv7If9/RUxGAgEBAAIAPgANgBFADxvybRYFAHDCAwAT
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";


Measured memory_bytes: 8700