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

fn search(
    H: i64,
    W: i64,
    K: usize,
    S: &Vec<Vec<u8>>,
    pos: i64,
    sumss: Vec<Vec<usize>>,
) -> Option<i64> {
    let mut min = None;
    if pos == H {
        let mut acc = vec![0; sumss.len()];
        let mut split = 0;
        'outer: for y in 0..W as usize {
            for x in 0..sumss.len() {
                let sums = &sumss[x];
                acc[x] += sums[y];
                if acc[x] > K {
                    split += 1;
                    for x in 0..sumss.len() {
                        acc[x] = sumss[x][y];
                        if acc[x] > K {
                            return None;
                        }
                    }
                    continue 'outer;
                }
            }
        }
        return Some(split);
    }
    for i in 1..=H - pos {
        let mut sumss = sumss.clone();
        let sums: Vec<usize> = (0..W)
            .map(|y| {
                (pos..pos + i)
                    .filter(|&x| S[x as usize][y as usize] == b'1')
                    .count()
            })
            .collect();
        sumss.push(sums);
        if let Some(result) = search(H, W, K, S, pos + i, sumss) {
            let target = result + 1;
            if let Some(m) = min {
                if target < m {
                    min = Some(target);
                }
            } else {
                min = Some(target);
            }
        }
    }
    min
}

// Generated by 1.1.6 https://github.com/kyuridenamida/atcoder-tools
fn main() {
    let con = read_string();
    let mut scanner = Scanner::new(&con);
    let H: i64 = scanner.next();
    let W: i64 = scanner.next();
    let K: usize = scanner.next();
    let mut S = Vec::new();
    for i in 0..H {
        let buf: String = scanner.next();
        S.push(buf.into_bytes());
    }
    println!("{}", search(H, W, K, &S, 0, Vec::new()).unwrap() - 1);
}

pub mod io {
    use std;
    use std::str::FromStr;

    pub struct Scanner<'a> {
        iter: std::str::SplitWhitespace<'a>,
    }

    impl<'a> Scanner<'a> {
        pub fn new(s: &'a str) -> Scanner<'a> {
            Scanner {
                iter: s.split_whitespace(),
            }
        }

        pub fn next<T: FromStr>(&mut self) -> T {
            let s = self.iter.next().unwrap();
            if let Ok(v) = s.parse::<T>() {
                v
            } else {
                panic!("Parse error")
            }
        }

        pub fn next_vec_len<T: FromStr>(&mut self) -> Vec<T> {
            let n: usize = self.next();
            self.next_vec(n)
        }

        pub fn next_vec<T: FromStr>(&mut self, n: usize) -> Vec<T> {
            (0..n).map(|_| self.next()).collect()
        }
    }

    pub fn read_string() -> String {
        use std::io::Read;

        let mut s = String::new();
        std::io::stdin().read_to_string(&mut s).unwrap();
        s
    }
}
*/

fn main() {
    let exe = "/tmp/bin8E2C7C4A";
    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 = "
f0VMRgIBAQAAAAAAAAAAAAIAPgABAAAAgBFAAAAAAABAAAAAAAAAAOgxBAAAAAAAAAAAAEAAOAAJAEAA
DwAOAAEAAAAEAAAAAAAAAAAAAAAAAEAAAAAAAAAAQAAAAAAAXAIAAAAAAABcAgAAAAAAAAAQAAAAAAAA
AQAAAAUAAAAAEAAAAAAAAAAQQAAAAAAAABBAAAAAAAAJXwMAAAAAAAlfAwAAAAAAABAAAAAAAAABAAAA
BAAAAABwAwAAAAAAAHBDAAAAAAAAcEMAAAAAAGiiAAAAAAAAaKIAAAAAAAAAEAAAAAAAAAEAAAAGAAAA
ABwEAAAAAAAALEQAAAAAAAAsRAAAAAAAWBUAAAAAAADIMAAAAAAAAAAQAAAAAAAABAAAAAQAAAA4AgAA
AAAAADgCQAAAAAAAOAJAAAAAAAAkAAAAAAAAACQAAAAAAAAABAAAAAAAAAAHAAAABAAAAAAcBAAAAAAA
ACxEAAAAAAAALEQAAAAAAAAAAAAAAAAAyAAAAAAAAAAgAAAAAAAAAFDldGQEAAAA7NEDAAAAAADs0UMA
AAAAAOzRQwAAAAAALAkAAAAAAAAsCQAAAAAAAAQAAAAAAAAAUeV0ZAYAAAAAAAAAAAAAAAAAAAAAAAAA
AAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAEAAAAAAAAABS5XRkBAAAAAAcBAAAAAAAACxEAAAAAAAALEQA
AAAAAAAUAAAAAAAAABQAAAAAAAABAAAAAAAAAAQAAAAUAAAAAwAAAEdOVQDMk1iUiP510qeUIF7Myh1u
awqwZQAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAA
AAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAA
AAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAA
AAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAA
AAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAA
AAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAA
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