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

// (h, w, k)
type Info = (usize, usize, usize);

fn main() {
    input! {
        h: usize,
        w: usize,
        k: usize,
        s: [Chars; h],
    }

    let mut s2 = vec![];
    for s_i in s {
        let s2_i: Vec<usize> = s_i
            .into_iter()
            .map(|x| x.to_digit(10).unwrap() as usize)
            .collect();
        s2.push(s2_i);
    }
    let s = s2;

    let mut counts = vec![vec![0]; h];
    for (i, row) in s.iter().enumerate() {
        for a in row {
            let prev = *counts[i].last().unwrap();
            counts[i].push(prev + a);
        }
    }

    let mut mn = std::usize::MAX;
    for bits in 0..(1 << (h - 1)) {
        // eprintln!("bits: {:b}", bits);
        let now = solve(bits, &counts, (h, w, k));
        // eprintln!("now: {:?}", now);
        if let Some(now) = now {
            if now < mn {
                mn = now;
            }
        }
    }
    println!("{}", mn);
}

// bitsで決まった箇所の横線で割る
// 二分探索してどこまで行けるか求める
fn solve(bits: usize, counts: &Vec<Vec<usize>>, info: Info) -> Option<usize> {
    let (h, w, k) = info;

    let mut horizontal = 0;
    for i in 0..(h - 1) {
        if (1 << i) & bits > 0 {
            horizontal += 1;
        }
    }
    let vertical = solve_vertical(bits, counts, info);

    match vertical {
        Some(vertical) => Some(horizontal + vertical),
        None => None,
    }
}

// 縦線で何箇所切るか
fn solve_vertical(bits: usize, counts: &Vec<Vec<usize>>, info: Info) -> Option<usize> {
    let (h, w, k) = info;

    let mut count = 0;
    let mut left = 1usize;
    while left < w {
        // dbg!(left);
        let mut curr = vec![];
        // どこの右で切るか
        let mut cut = w;
        for i in 0..h {
            curr.push(i);

            if bits & (1 << i) == 0 && i < h - 1 {
                continue;
            }

            let max_right = binary_search_int_max(left as isize, w as isize, |x| {
                count_range(&curr, left, x as usize, counts) <= k
            })? as usize;
            // dbg!(max_right);

            if max_right < cut {
                cut = max_right;
            }

            curr = vec![];
        }

        if cut < w {
            count += 1;
        }
        // dbg!(cut);
        left = cut + 1;
    }

    Some(count)
}

fn count_range(lines: &Vec<usize>, left: usize, right: usize, counts: &Vec<Vec<usize>>) -> usize {
    let mut ret = 0;
    for &l in lines {
        ret += counts[l][right] - counts[l][left - 1];
    }

    // dbg!(left);
    // dbg!(right);
    // dbg!(ret);
    ret
}

fn binary_search_int_max<F>(min: isize, max: isize, condition: F) -> Option<isize>
where
    F: Fn(isize) -> bool,
{
    if max < min {
        return None;
    }

    if condition(max) {
        return Some(max);
    }
    if !condition(min) {
        return None;
    }

    let mut left = min;
    let mut right = max;
    while left + 1 < right {
        let mid = (left + right) / 2;

        if condition(mid) {
            left = mid;
        } else {
            right = mid;
        }
    }

    Some(left)
}
*/

fn main() {
    let exe = "/tmp/binBED7405A";
    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 = "
f0VMRgIBAQAAAAAAAAAAAAIAPgABAAAA8LdBAAAAAABAAAAAAAAAAAAAAAAAAAAAAAAAAEAAOAADAEAA
AAAAAAEAAAAFAAAAAAAAAAAAAAAAAEAAAAAAAAAAQAAAAAAAN8EBAAAAAAA3wQEAAAAAAAAQAAAAAAAA
AQAAAAYAAAAAAAAAAAAAAADQQQAAAAAAANBBAAAAAAAAAAAAAAAAACgNAgAAAAAAABAAAAAAAABR5XRk
BgAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAQAAAAAAAAANw7hWlVUFgh
VAkNFgAAAABwtgMAcLYDADgCAADGAAAAAgAAAPv7If9/RUxGAgEBAAIAPgANgBFADxvybRYFAHCyAwAT
gR27ezgACQUQAA8rBAAAOyFP2EAHXAIAABAGZAvYNzcFDwdABpaQJ9nIAjdP2MHGb+AX4EIHUKgA7Q4s
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m/w3zEEHQyQK2x2WkABvUTcGAABgh7ACdlJvkbCPsKegGQAHAAAAhikACQAA/yQAAAAkAAAAAAAAAAQA
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";


Measured memory_bytes: 8700