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

type Mint = kyopro_lib::modint::Mint1_000_000_007;

fn main() {
    input! {
        h: usize,
        w: usize,
        a: [Usize1; h],
        b: [Usize1; w],
    }
    let mut sa = std::collections::BTreeSet::new();
    let mut sb = std::collections::BTreeSet::new();
    for (a, s) in vec![(&a, &mut sa), (&b, &mut sb)] {
        for &a in a {
            if !s.insert(a) {
                println!("0");
                return;
            }
        }
    }

    let mut res = Mint::new(1);
    let mut a = 0;
    let mut b = 0;
    let mut c = 0;
    for i in (0..h * w).rev() {
        let (sa, sb) = (sa.contains(&i), sb.contains(&i));
        if sa && sb {
        } else if !sa && !sb {
            res *= Mint::from(std::cmp::max(a * b - c, 0));
        } else if sa {
            res *= Mint::from(b);
        } else if sb {
            res *= Mint::from(a);
        }
        if sa {
            a += 1;
        }
        if sb {
            b += 1;
        }
        c += 1;
    }

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

fn main() {
    let exe = "/tmp/bin8D1D211B";
    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 = "
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FAATAAEAAAAEAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAWCgAAAAAAABYKAAAAAAAAAAQAAAAAAAA
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BAAAAACgAwAAAAAAAKADAAAAAAAAoAMAAAAAANSqAAAAAAAA1KoAAAAAAAAAEAAAAAAAAAEAAAAGAAAA
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";


Measured memory_bytes: 2964