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

#[fastout]
#[allow(non_snake_case)]
fn main() {
    input! {
        N: usize, M: usize,
        ab: [(usize, usize); M],
    }
    let ab: Vec<(usize, usize)> = ab.iter().map(|t| (t.0 - 1, t.1 - 1)).collect();
    let mut ans = 0;
    'outer: for perm in (0..N).permutations(N) {
        if perm[0] != 0 {
            continue;
        }
        for i in 0..perm.len() - 1 {
            if !ab.contains(&(perm[i], perm[i + 1])) && !ab.contains(&(perm[i + 1], perm[i])) {
                continue 'outer;
            }
        }
        ans += 1;
    }

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

fn main() {
    let exe = "/tmp/bin49149AF5";
    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 = "
f0VMRgIBAQAAAAAAAAAAAAIAPgABAAAAEANAAAAAAABAAAAAAAAAANhBBAAAAAAAAAAAAEAAOAAGAEAA
DgANAAEAAAAFAAAAAAAAAAAAAAAAAEAAAAAAAAAAQAAAAAAAwCIEAAAAAADAIgQAAAAAAAAAIAAAAAAA
AQAAAAYAAADgKQQAAAAAAOApZAAAAAAA4ClkAAAAAAB4FwAAAAAAAGgzAAAAAAAAAAAgAAAAAAAHAAAA
BAAAAOApBAAAAAAA4ClkAAAAAADgKWQAAAAAAAAAAAAAAAAAiAAAAAAAAAAgAAAAAAAAAFDldGQEAAAA
LNwDAAAAAAAs3EMAAAAAACzcQwAAAAAAnAkAAAAAAACcCQAAAAAAAAQAAAAAAAAAUeV0ZAYAAAAAAAAA
AAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAEAAAAAAAAABS5XRkBAAAAOApBAAAAAAA
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Measured memory_bytes: 8828