// This code is generated by [cargo-atcoder](https://github.com/tanakh/cargo-atcoder)
// Original source code:
/*
#![allow(unused_imports)]
#![allow(unused_macros)]
#![allow(non_snake_case)]
#![allow(dead_code)]
#![allow(unused_variables)]
#![allow(unused_mut)]
#![allow(unused_assignments)]
use proconio::input;
use proconio::marker::*;
use std::collections::*;
use std::cmp::*;
use std::mem::swap;
use std::f64::consts::*;

const MOD: u64 = 1000000007;
const INF: usize = std::usize::MAX / 4;

fn add(cum: &mut Vec<usize>, w: usize, L: &Vec<usize>, S: &Vec<Vec<char>>) {
    for i in 0..(L.len() - 1) {
        let (t, b) = (L[i], L[i + 1]);
        for h in t..b {
            if S[h][w] == '1' {
                cum[i] += 1;
            }
        }
    }
}

fn main() {
    input! {
        H: usize,
        W: usize,
        K: usize,
        S: [Chars; H],
    }

    let mut ans = INF;

    for state in 0..(1 << (H - 1)) {
        let mut L = vec![0];
        for d in 0..(H - 1) {
            if (state & (1 << d)) != 0 {
                L.push(d + 1);
            }
        }
        L.push(H);

        let mut cnt = L.len() - 2;
        let mut cum = vec![0; L.len() - 1];

        for w in 0..W {
            add(&mut cum, w, &L, &S);
            if cum.iter().all(|&c| c <= K) {
                continue;
            }

            cnt += 1;
            cum = vec![0; L.len() - 1];
            add(&mut cum, w, &L, &S);
            if cum.iter().all(|&c| c <= K) {
                continue;
            }
            cnt = INF;
            break;
        }

        ans = min(ans, cnt);
    }

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

fn main() {
    let exe = "/tmp/bin0DC9E194";
    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 = "
f0VMRgIBAQAAAAAAAAAAAAIAPgABAAAAIARAAAAAAABAAAAAAAAAANhRBAAAAAAAAAAAAEAAOAAGAEAA
DgANAAEAAAAFAAAAAAAAAAAAAAAAAEAAAAAAAAAAQAAAAAAA4DUEAAAAAADgNQQAAAAAAAAAIAAAAAAA
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BAAAACA3BAAAAAAAIDdkAAAAAAAgN2QAAAAAAAAAAAAAAAAAyAAAAAAAAAAgAAAAAAAAAFDldGQEAAAA
zOwDAAAAAADM7EMAAAAAAMzsQwAAAAAAzAkAAAAAAADMCQAAAAAAAAQAAAAAAAAAUeV0ZAYAAAAAAAAA
AAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAEAAAAAAAAABS5XRkBAAAACA3BAAAAAAA
IDdkAAAAAAAgN2QAAAAAAOAYAAAAAAAA4BgAAAAAAAABAAAAAAAAAFBYwwAAAAAAAAAAAAAAAABBV0FW
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";


Measured memory_bytes: 8828