// This code is generated by [cargo-atcoder](https://github.com/tanakh/cargo-atcoder)
// Original source code:
/*
use std::collections::BTreeSet;
struct S {
    h: usize,
    w: usize,
    k: u32,
    hw: Vec<Vec<char>>,
}

impl S {
    fn dfs(self: &Self, i: usize, rest: u32, used: BTreeSet<usize>) -> u32 {
        if i >= self.h + self.w {
            return 0;
        }
        let mut new_used = used.clone();
        new_used.insert(i);
        let mut s = self.dfs(i + 1, rest, used);

        let diff = if i < self.h {
            let h_idx = i;
            self.count_h(h_idx)
        } else {
            let w_idx = i - self.h;
            self.count_w_with_used(w_idx, &new_used)
        };

        let nr = rest - diff;

        if nr == self.k {
            s += 1;
        }
        s += self.dfs(i + 1, nr, new_used);

        s
    }

    fn count_w_with_used(self: &Self, w_idx: usize, used: &BTreeSet<usize>) -> u32 {
        let mut cnt = 0;
        for h_idx in 0..self.h {
            if !used.contains(&h_idx) {
                if self.hw[h_idx][w_idx] == '#' {
                    cnt += 1;
                }
            }
        }
        cnt
    }

    fn total(self: &Self) -> u32 {
        let mut ans = 0;
        for h in 0..self.h {
            ans += self.count_h(h);
        }
        ans
    }

    fn count_h(self: &Self, h_idx: usize) -> u32 {
        let mut ans = 0;
        for &c in self.hw[h_idx].iter() {
            if c == '#' {
                ans += 1;
            }
        }
        ans
    }
}

fn main() {
    use proconio::input;
    input!(h: usize, w: usize, k: u32);
    input!(hw: [proconio::marker::Chars; h]);
    let s = S { h, w, k, hw };
    let total = s.total();
    let mut ans = s.dfs(0, total, BTreeSet::new());
    if total == k {
        ans += 1;
    }
    println!("{}", ans);
}
*/

fn main() {
    let exe = "/tmp/bin527AC1C8";
    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 = "
f0VMRgIBAQAAAAAAAAAAAAIAPgABAAAAYANAAAAAAABAAAAAAAAAAOhBBAAAAAAAAAAAAEAAOAAHAEAA
DwAOAAEAAAAFAAAAAAAAAAAAAAAAAEAAAAAAAAAAQAAAAAAAmCIEAAAAAACYIgQAAAAAAAAAIAAAAAAA
AQAAAAYAAAAgKwQAAAAAACArZAAAAAAAICtkAAAAAAA4FgAAAAAAACgyAAAAAAAAAAAgAAAAAAAEAAAA
BAAAAMgBAAAAAAAAyAFAAAAAAADIAUAAAAAAACQAAAAAAAAAJAAAAAAAAAAEAAAAAAAAAAcAAAAEAAAA
ICsEAAAAAAAgK2QAAAAAACArZAAAAAAAAAAAAAAAAADIAAAAAAAAACAAAAAAAAAAUOV0ZAQAAADM4AMA
AAAAAMzgQwAAAAAAzOBDAAAAAABkCQAAAAAAAGQJAAAAAAAABAAAAAAAAABR5XRkBgAAAAAAAAAAAAAA
AAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAQAAAAAAAAAFLldGQEAAAAICsEAAAAAAAgK2QA
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