// This code is generated by [cargo-atcoder](https://github.com/tanakh/cargo-atcoder)
// Original source code:
/*
use std::io::{stdin, Read, StdinLock};
use std::str::FromStr;

#[allow(dead_code)]
struct Scanner<'a> {
    cin: StdinLock<'a>,
}
#[allow(dead_code)]
impl<'a> Scanner<'a> {
    fn new(cin: StdinLock<'a>) -> Scanner<'a> {
        Scanner { cin: cin }
    }

    fn read<T: FromStr>(&mut self) -> Option<T> {
        let token = self.cin.by_ref().bytes().map(|c| c.unwrap() as char)
            .skip_while(|c| c.is_whitespace())
            .take_while(|c| !c.is_whitespace())
            .collect::<String>();
        token.parse::<T>().ok()
    }

    fn input<T: FromStr>(&mut self) -> T {
        self.read().unwrap()
    }

    fn vec<T: FromStr>(&mut self, len: usize) -> Vec<T> {
        (0..len).map(|_| self.input()).collect()
    }

    fn mat<T: FromStr>(&mut self, row: usize, col: usize) -> Vec<Vec<T>> {
        (0..row).map(|_| self.vec(col)).collect()
    }
}

fn main() {
    let cin = stdin();
    let cin = cin.lock();
    let mut sc = Scanner::new(cin);

    let (h, w, k): (i64, i64, i64) = (sc.input(), sc.input(), sc.input());
    let arr: Vec<Vec<char>> = (0..h)
        .map(|_| {
            let s: String = sc.input();
            s.chars().collect()
        }).collect();

    let mut ans = 1_000_000i64;
    for bits in 0..(1i64 << (h - 1)) {
        let mut ys = Vec::new();
        ys.push(0);
        for y in 0..h - 1 {
            if bits >> y & 1 == 1 {
                ys.push(y + 1);
            }
        }
        ys.push(h);


        let mut ws = vec![0; ys.len() - 1];
        let mut cur = 0;

        for x in 0..w {
            let mut ok = true;

            for yi in 0..ws.len() {
                let y1 = ys[yi];
                let y2 = ys[yi + 1];
                for y in y1..y2 {
                    if arr[y as usize][x as usize] == '1' {
                        ws[yi] += 1;
                    }
                }

                if ws[yi] > k {
                    ok = false;
                }
            }

            if !ok {
                cur += 1;
                for i in 0..ws.len() {
                    ws[i] = 0;
                }
                ok = true;
                for yi in 0..ws.len() {
                    let y1 = ys[yi];
                    let y2 = ys[yi + 1];
                    for y in y1..y2 {
                        if arr[y as usize][x as usize] == '1' {
                            ws[yi] += 1;
                        }
                    }
                    if ws[yi] > k {
                        ok = false;
                    }
                }

                if !ok {
                    cur = 1_000_000;
                    break;
                }

            }
        }
        cur += bits.count_ones() as i64;
        ans = ans.min(cur);
    }
    println!("{}", ans);
}
*/

fn main() {
    let exe = "/tmp/bin9384B62F";
    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 = "
f0VMRgIBAQAAAAAAAAAAAAIAPgABAAAAYK9BAAAAAABAAAAAAAAAAAAAAAAAAAAAAAAAAEAAOAADAEAA
AAAAAAEAAAAFAAAAAAAAAAAAAAAAAEAAAAAAAAAAQAAAAAAAp7gBAAAAAACnuAEAAAAAAAAAIAAAAAAA
AQAAAAYAAAAAAAAAAAAAAADAQQAAAAAAAMBBAAAAAAAAAAAAAAAAAKjcIQAAAAAAABAAAAAAAABR5XRk
BgAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAQAAAAAAAAAOU7Y6NVUFgh
UAkNFgAAAACghQMAoIUDAJABAACYAAAAAgAAAPv7If9/RUxGAgEBAAIAPgANEANADxvybRYFAOCBAwAT
gR27ezgABgUPAA4rBQAALSFP2EAH8GEDAG22+84gADcGA6BrFwdhn52QY7gVLQgxADdgA1k3BwMENzAt
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YGADAIWnAQACSRYA//8H8lBYwwBBV0FWMcBBVUFUSYPM/1VTSbe3//+J/kyJz06NLAJIg+xISIk0JANM
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";


Measured memory_bytes: 8700