// Problem : E - Dividing Chocolate
// Contest : AtCoder Beginner Contest 159
// URL : https://atcoder.jp/contests/abc159/tasks/abc159_e
// Memory Limit : 1024 MB
// Time Limit : 2000 ms
// Powered by CP Editor (https://github.com/cpeditor/cpeditor)

/* ID: vqt
LANG: C++14
PROB: namenum
*/

#pragma GCC optimize("O3")
#pragma GCC optimize("Ofast")
#pragma GCC optimize("unroll-loops")
#include <bits/stdc++.h>
#include<unistd.h>
#include <ext/pb_ds/assoc_container.hpp>
#include <ext/pb_ds/tree_policy.hpp>

using namespace std;
using namespace __gnu_pbds;
template <typename T>
using ordered_set = tree<T, null_type, less<T>, rb_tree_tag, tree_order_statistics_node_update>;
typedef long long ll;
#define ordered_set tree<pair<ll,ll>, null_type,less<pair<ll,ll>>, rb_tree_tag,tree_order_statistics_node_update>

// defines
#define int long long
// #define double long double
#define vec vector
#define vi vector<int>
#define vvi vector<vector<int>>
#define ii pair<int, int>
#define F first
#define S second
#define MP make_pair
#define vii vector<ii>
#define PQ priority_queue
#define minPQ priority_queue<int,vt <int>,greater <int>>
#define PB push_back
#define LB lower_bound
#define UB upper_bound
#define ER equal_range
#define ALL(x) begin(x),end(x)
#define SZ(x) ((int)(x).size())
#define FOR(i, a, b) for(int i = (a); i < (b); i++)
#define FORE(i, a, b) for(int i = (a); i <= (b); i++)
#define FORD(i, a, b) for(int i = (a); i >= (b); i--)
#define UNI(c) c.resize(distance(c.begin(),unique(c.begin(),c.end())));
#define SORT_UNI(c) (sort(c.begin(),c.end()), c.resize(distance(c.begin(),unique(c.begin(),c.end()))))
#define POS(c,x) (lower_bound(c.begin(),c.end(),(x))-c.begin())
// #define MS0(X) memset((X), 0, sizeof((X)))
// #define MS1(X) memset((X), -1, sizeof((X)))
// #define RESET(X, y) memset(X, y, sizeof(X))
#define chkmin(a, b) a = min(a, b)
#define chkmax(a, b) a = max(a, b)
#define max3(a, b, c) max({a, b, c})
#define min3(a, b, c) min({a, b, c})
#define MINMAX(x) minmax_element(begin(x), end(x))

//Universal DEBUG: https://codeforces.com/blog/entry/68809
void __print(int x) {cerr << x;}
void __print(long x) {cerr << x;}
// void __print(long long x) {cerr << x;}
void __print(unsigned x) {cerr << x;}
void __print(unsigned long x) {cerr << x;}
void __print(unsigned long long x) {cerr << x;}
void __print(float x) {cerr << x;}
void __print(double x) {cerr << x;}
void __print(long double x) {cerr << x;}
void __print(char x) {cerr << '\'' << x << '\'';}
void __print(const char *x) {cerr << '\"' << x << '\"';}
void __print(const string &x) {cerr << '\"' << x << '\"';}
void __print(bool x) {cerr << (x ? "true" : "false");}
template<typename T, typename V>
void __print(const pair<T, V> &x) {cerr << '{'; __print(x.first); cerr << ','; __print(x.second); cerr << '}';}
template<typename T>
void __print(const T &x) {int f = 0; cerr << '{'; for (auto &i: x) cerr << (f++ ? "," : ""), __print(i); cerr << "}";}
void _print() {cerr << "]\n";}
template <typename T, typename... V>
void _print(T t, V... v) {__print(t); if (sizeof...(v)) cerr << ", "; _print(v...);}
/* To debug, just type: debug(x, y, z...). It requires C++ 11 or above.
It can work with: Primitive data types: bool, int, long long, float, ...; pair, string;
Collection types: std::vector, std::map, std::set, ...; Expressions
*/

//permanent constants
const long long INF64 = 1e18; const int INF32 = 1e9; const int BIG = (int)(1e9 + 239);
const int MOD = 1000000007; // (int)1e9+7; //998244353; const ll MOD2 = (ll)MOD * (ll)MOD;
const double PI = 2.0*acos(0.0); //acos(-1.0L);
const double EPS = static_cast<double>(1e-10);
const int day[12] = {31, 28, 31, 30, 31, 30, 31, 31, 30, 31, 30, 31};
const int dx[4] = {0, 1, 0, -1}; const int dy[4] = {1, 0, -1, 0};

//random
mt19937 rnd(239); //(chrono::high_resolution_clock::now().time_since_epoch().count());

// Sort w Lambda Function: sort(begin(v), end(v), [] (int a, int b) { return a > b; });
// struct MyStr {int a, b, c;}; vector<MyStr> v; ...fill v...
// sort(all(v), [](MyStr &a, MyStr &b) { return tie(a.a, a.b, a.c) < tie(b.a, b.b, b.c); });

//Tricks:
#define odd(x) ((x) & 1)
#define even(x) !((x) & 1)
// vec - vector, p(x) - predicate so that p(x) = true for all elements of some prefix of vector
// vec and false on all others. To find the first place where p(x) doesn't hold one can simply use: 
#define FIRST_FAIL(vec, p) partition_point(all(vec), p) - vec.begin()
// partition_point(begin, end, p) returns the first iterator it that p(*it) = false
#define isIn(vec, key) binary_search(all(vec), key)
#define toBool(num) !!(num)
#define bin(N, num) cerr << bitset<N>(num) << "\n"
// vector a: tinh XOR sum tu l den r:
#define XORsum(a, l, r) accumulate(a.begin()+l-1, a.begin()+r, 0, [](int x, int y){ return x^y; })
// basic_string: just like vector but allows to use a few string member functions/operators: operator+ and operator+=.:
/*  int n;    basic_string<int> a;
    cin >> n; FOR(i, 0, n) { int x;   cin >> x; a += x; }
    a += a; a = a.substr(n/2, n);
    cout << (a + a).find({1, 2, 1}) << '\n';
*/
vector<int> prefixSum(vector<int> &a) {std::partial_sum(a.begin(), a.end(), a.begin()); return a;} 

int mostSignDigit(int n) { double k = log10(n); return (int)pow(10, k-floor(k));}
int numOfDigits(int n) {return (int)floor(log10(n)) + 1;}
bool isPowerOfTwo(int x) {return x && (!(x&(x-1)));} // first x is for the case x=0

bool allPositive(vector<int> &a) {return all_of(begin(a), end(a), [](int x){return x > 0;});} // are all of the elements positive?
bool anyPositive(vector<int> &a) {return any_of(begin(a), end(a), [](int x){return x > 0;});} // is there at least one positive element?
bool nonePositive(vector<int> &a) {return none_of(begin(a), end(a), [](int x){return x > 0;});} // are none of the elements positive?

void FILEIO() {  freopen("in.txt", "r", stdin);  freopen("out.txt", "w", stdout); }
//void FILEIO() {  freopen("berries.in", "r", stdin);  freopen("berries.out", "w", stdout); }

#define ONLINE_JUDGE

#ifndef ONLINE_JUDGE
#define debug(x...) cerr << "[" << #x << "] = ["; _print(x)
#else
#define debug(x...)
#endif
//******************//

void solve() {
	int h, w, k; cin >> h >> w >> k;
	vvi t(h, vi(w, 0));
	FOR(i, 0, h) FOR(j, 0, w) {char c; cin >> c; t[i][j]=c-'0';}
	vvi pre(h+1, vi(w+1, 0));
	FORE(i, 1, h) FORE(j, 1, w) pre[i][j] = pre[i][j-1] + t[i-1][j-1];
	vvi p(h+1, vi(w+1, 0));
	FORE(i, 1, h) FORE(j, 1, w) p[i][j] = p[i-1][j] + pre[i][j];
	
	debug(pre);
	debug(p);
	
	if(p[h][w] <= k) {cout << 0 << endl; return;}
	int ans = INT_MAX;
	FOR(mask, 0, (1<<(h-1))) {
		vi hBar; hBar.PB(0);
		FOR(i, 0, h) if(mask & (1 << i)) hBar.PB(i+1);
		hBar.PB(h);
		
		// bin(10, mask);
		debug(hBar);
		
		int cnt = 0, h0=0, j=1;
		while(j<=w) { //lat cat doc
			int mx = INT_MIN;
			FOR(i, 1, SZ(hBar)) { // cac dai cat ngang tinh boi hBar
				int w1 = p[hBar[i]][j] - p[hBar[i-1]][j];
				int w0 = p[hBar[i]][h0] - p[hBar[i-1]][h0];
				mx = max(mx, w1-w0);
				
		// debug(mask, j, i, w0, w1, mx);
				
			}
			
			debug(h0, j, mx, cnt, SZ(hBar)-2+cnt);
			
			if(mx<=k) {j++; continue;}
			if(j==h0+1 and mx>k) {cnt=INF32; break;} // ngay dong dau sau h0 khong duoc, phai tim mask tiep theo
			h0 = j-1; j--; cnt++;
		}
		ans = min(ans, SZ(hBar)-2 + cnt);
	}
	cout << ans << endl;
}

signed main() {
  ios_base::sync_with_stdio(false); cin.tie();
  // FILEIO();
//  auto beginProgram = chrono::steady_clock::now();

// preCalc();

// int t; cin >> t;
// FOR(i, 0, t)
  {
//	  cout << "Case #" << i+1 << ": " << solve() << endl;
	  solve();
  }

//  auto endProgram = chrono::steady_clock::now();
//  cout << chrono::duration_cast<chrono::milliseconds>(endProgram - beginProgram).count() << " ms" << endl;

  return 0;
}



Measured memory_bytes: 512