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

type GF = competitive::gf::GF<promote!(1_000_000_007)>;

fn main() {
    input! {
        n: usize,
        m: usize,
    }

    let fact = gen_fact_table::<GF>(m + 1);

    let p = |n, k| (fact[n] / fact[n - k]);

    let mut ans = p(m, n).pow(2);

    for i in 1..=n {
        let t = comb_from_table(n, i, &fact) * p(m, i) * p(m - i, n - i).pow(2);
        if i % 2 == 1 {
            ans -= t;
        } else {
            ans += t;
        }
    }

    echo!(ans);
}
*/

fn main() {
    let exe = "/tmp/bin3FF77145";
    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 = "
f0VMRgIBAQAAAAAAAAAAAAIAPgABAAAAsPtBAAAAAABAAAAAAAAAAAAAAAAAAAAAAAAAAEAAOAADAEAA
AAAAAAEAAAAFAAAAAAAAAAAAAAAAAEAAAAAAAAAAQAAAAAAAsAMCAAAAAACwAwIAAAAAAAAAIAAAAAAA
AQAAAAYAAABADQAAAAAAAEB9ZAAAAAAAQH1kAAAAAAAAAAAAAAAAAAAAAAAAAAAAABAAAAAAAABR5XRk
BgAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAQAAAAAAAAAMmtpEpVUFgh
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";


Measured memory_bytes: 5012