// 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! {
        n: usize, k: usize,
        a: [i64; n],
    }
    let s = a.iter().sum::<i64>();
    let mut div = std::collections::BTreeSet::new();
    for i in 1.. {
        if s % i == 0 {
            div.insert(i);
            div.insert(s / i);
        }
        if i * i >= s {
            break;
        }
    }

    for x in div.iter().rev() {
        let mut a = a.iter().map(|a| a % x).collect::<Vec<i64>>();
        a.sort();
        let s = a.iter().sum::<i64>();
        let mut ss = 0;
        for i in 0..n {
            ss += a[i];
            let y = std::cmp::max(ss, (n - i - 1) as i64 * x - (s - ss));
            if y <= k as i64 {
                println!("{}", x);
                return;
            }
        }
    }
    println!("-1");
}
*/

fn main() {
    let exe = "/tmp/binD7905B3B";
    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 = "
f0VMRgIBAQAAAAAAAAAAAAIAPgABAAAAYANAAAAAAABAAAAAAAAAAHCiAwAAAAAAAAAAAEAAOAAHAEAA
EAAPAAEAAAAFAAAAAAAAAAAAAAAAAEAAAAAAAAAAQAAAAAAAmH8DAAAAAACYfwMAAAAAAAAAIAAAAAAA
AQAAAAYAAADgiQMAAAAAAOCJYwAAAAAA4IljAAAAAAD4FwAAAAAAAEgzAAAAAAAAAAAgAAAAAAAEAAAA
BAAAAMgBAAAAAAAAyAFAAAAAAADIAUAAAAAAACQAAAAAAAAAJAAAAAAAAAAEAAAAAAAAAAcAAAAEAAAA
4IkDAAAAAADgiWMAAAAAAOCJYwAAAAAAMAAAAAAAAADIAAAAAAAAACAAAAAAAAAAUOV0ZAQAAADsOQMA
AAAAAOw5QwAAAAAA7DlDAAAAAADsCQAAAAAAAOwJAAAAAAAABAAAAAAAAABR5XRkBgAAAAAAAAAAAAAA
AAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAQAAAAAAAAAFLldGQEAAAA4IkDAAAAAADgiWMA
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Measured memory_bytes: 8828