// This code is generated by [cargo-atcoder](https://github.com/tanakh/cargo-atcoder)
// Original source code:
/*
use proconio::{fastout, input, marker::Bytes};
use ralgo::flow::dinic::Dinic;
use ralgo::util::modint::Integer;

#[fastout]
fn main() {
    input! {
        h: usize,
        w: usize,
        mut b: [Bytes; h]
    }

    let mut dinic = Dinic::<i64>::new();
    dinic.reserve(h * w + 2);
    let enc = |u, v| u * w + v;
    let s = h * w;
    let t = s + 1;
    for u in 0..h {
        for v in 0..w {
            if b[u][v] == b'#' {
                continue;
            }
            if (u + v).is_even() {
                dinic.add_edge(s, enc(u, v), 1);
            } else {
                dinic.add_edge(enc(u, v), t, 1);
            }
        }
    }

    let mut up = vec![vec![Option::None; w]; h];
    let mut down = up.clone();
    let mut left = up.clone();
    let mut right = up.clone();

    for u in 0..h {
        for v in 0..w {
            if (u + v).is_odd() || b[u][v] == b'#' {
                continue;
            }
            if u > 0 && b[u - 1][v] == b'.' {
                up[u][v] = Some(dinic.add_edge(enc(u, v), enc(u - 1, v), 1));
            }
            if u + 1 < h && b[u + 1][v] == b'.' {
                down[u][v] = Some(dinic.add_edge(enc(u, v), enc(u + 1, v), 1));
            }
            if v > 0 && b[u][v - 1] == b'.' {
                left[u][v] = Some(dinic.add_edge(enc(u, v), enc(u, v - 1), 1));
            }
            if v + 1 < w && b[u][v + 1] == b'.' {
                right[u][v] = Some(dinic.add_edge(enc(u, v), enc(u, v + 1), 1));
            }
        }
    }
    println!("{}", dinic.max_flow(s, t).0);
    for u in 0..h {
        for v in 0..w {
            if Some(true) == up[u][v].map(|e| dinic.get_flow(&e) != 0) {
                b[u][v] = b'^';
                b[u - 1][v] = b'v';
            }
            if Some(true) == down[u][v].map(|e| dinic.get_flow(&e) != 0) {
                b[u][v] = b'v';
                b[u + 1][v] = b'^';
            }
            if Some(true) == left[u][v].map(|e| dinic.get_flow(&e) != 0) {
                b[u][v] = b'<';
                b[u][v - 1] = b'>';
            }
            if Some(true) == right[u][v].map(|e| dinic.get_flow(&e) != 0) {
                b[u][v] = b'>';
                b[u][v + 1] = b'<';
            }
        }
    }
    for line in b {
        println!("{}", String::from_utf8(line).unwrap());
    }
}
*/

fn main() {
    let exe = "/tmp/binCED8F03F";
    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 = "
f0VMRgIBAQAAAAAAAAAAAAIAPgABAAAAoGFCAAAAAABAAAAAAAAAAAAAAAAAAAAAAAAAAEAAOAADAEAA
AAAAAAEAAAAFAAAAAAAAAAAAAAAAAEAAAAAAAAAAQAAAAAAA52oCAAAAAADnagIAAAAAAAAQAAAAAAAA
AQAAAAYAAAAAAAAAAAAAAABwQgAAAAAAAHBCAAAAAAAAAAAAAAAAAGgdAwAAAAAAABAAAAAAAABR5XRk
BgAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAQAAAAAAAAAOI7GZBVUFgh
UAkNFgAAAAD4ZQUA+GUFADgCAADHAAAAAgAAAPv7If9/RUxGAgEBAAIAPgANkBJADxvybRYFAPhhBQAT
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";


Measured memory_bytes: 5744