#ifndef DEBUG
#  define NDEBUG
#endif
#include <iostream>
#include <algorithm>
#include <string>
#include <iterator>
#include <utility>
#include <type_traits>
#include <limits>
#include <cassert>
#include <numeric>
#include <vector>

using namespace std;

// template {{{
// misc {{{
using Z = long long;
[[maybe_unused]]
constexpr Z INF = numeric_limits<Z>::max() / 3;
// }}}

// debug {{{
template <class T>
using enable_if_sequence_t = enable_if_t<
  is_same<
    typename iterator_traits<
      typename remove_cv_t<remove_reference_t<T>>::iterator
    >::iterator_category,
    random_access_iterator_tag>{}>;
#ifdef NDEBUG
# define dump(x)
# define debug if (0)
template <class T>
inline T&& ix(T&& value) { return value; }
template <class T, class Index, class... Indices, class = enable_if_sequence_t<T>>
inline auto&& ix(T&& container, Index index, Indices... indices) {
  return ix(container[index], indices...);
}
#else
# define dump(x) do { \
    cerr << "\e[33m[dump: " << __LINE__ << "] " << (#x) << " = " << x << "\e[0m" << endl; \
  } while (0);
# define debug
template <class T>
inline auto&& ix_impl([[maybe_unused]] int line, [[maybe_unused]] const char* code, T&& value) {
  return value;
}
template <class T, class Index, class... Indices, class = enable_if_sequence_t<T>>
inline auto&& ix_impl(int line, const char* code, T&& container, Index index, Indices... indices) {
  if (index < 0) {
    cerr << "\e[31mix: negative index at line " << line << ", ix(" << code << ")\e[0m" << endl;
    exit(1);
  }
  int size = container.size();
  if (index >= size) {
    cerr << "\e[31mix: index out of range at line " << line << ", ix(" << code << ")\n"
      << "index = " << index << " whereas size = " << size << "\e[0m" << endl;
    exit(1);
  }
  return ix_impl(line, code, container[index], indices...);
}
#define ix(...) ix_impl(__LINE__, #__VA_ARGS__, __VA_ARGS__)
#endif
// }}}

// IO {{{
template <class T, class U>
ostream& operator<< (ostream& os, pair<T, U> p) {
  os << '(' << p.first << ", " << p.second << ')';
  return os;
}
template <class T, class U>
istream& operator>> (istream& is, pair<T, U>& p) {
  is >> p.first >> p.second;
  return is;
}
template <class T>
false_type is_container_impl(...);
template <class T, class = typename T::iterator>
true_type is_container_impl(T);
template <class T>
struct is_container : decltype(is_container_impl<T>(declval<T>())) {};
template <>
struct is_container <string> : std::false_type {};
template <class Container, class = enable_if_t<is_container<Container>{}>>
istream& operator>> (istream& is, Container& cont) {
  for (auto& v : cont) is >> v;
  return is;
}
template <class Container, class = enable_if_t<is_container<Container>{}>>
ostream& operator<< (ostream& os, Container const& cont) {
  bool first = true;
  constexpr char sep =
    is_container<typename Container::value_type>{} ? '\n' : ' ';
  for (auto const& v : cont) {
    if (!first) {
      os << sep;
    }
    first = false;
    os << v;
  }
  return os;
}
// }}}
// }}}


template <class T>
inline void chmin(T& x, T const& v) {
  x = min(x, v);
}
template <class T>
inline void chmax(T& x, T const& v) {
  x = max(x, v);
}

int main() {
  ios_base::sync_with_stdio(false);
  cin.tie(nullptr);
  Z H, W, K;
  cin >> H >> W >> K;
  vector<string> S(H);
  cin >> S;
  Z ans = INF;
  for (auto i = 0; i < (1 << (H - 1)); i++) {
    dump(i);
    Z cuts = __builtin_popcount(i);
    Z width = 0;
    vector<Z> whites(H);
    bool ng = false;
    for (auto j = 0; j < W; j++) {
      width++;
      dump(j);
      for (auto k = 0; k < H; k++)
        if (ix(S, k, j) == '1')
          ix(whites, k) += 1;
      Z max_white = 0, small = 0;
      for (auto k = 0; k < H; k++) {
        small += ix(whites, k);
        dump(small);
        if ((((1 << (H - 1)) | i) >> k) & 1) {
          dump(k);
          dump(small);
          chmax(max_white, small);
          small = 0;
        }
      }
      if (max_white > K) {
        if (width == 1)
          ng = true;
        cuts++;
        whites.assign(H, 0);
        for (auto k = 0; k < H; k++)
          if (ix(S, k, j) == '1')
            ix(whites, k) += 1;
        width = 1;
      }
    }
    if (ng) continue;
    dump(cuts);
    chmin(ans, cuts);
  }
  cout << ans << endl;
}



Measured memory_bytes: 256