#include <bits/stdc++.h>
using namespace std;
 
typedef long long ll;
#define pa pair<int, int>
#define pal pair<long long, long long>
#define pali pair<long long, int>
#define pad pair<double, double>
#define pb push_back
#define mp make_pair
#define COUT(v)                              \
    for (int64_t i = 0; i < (v).size(); ++i) \
    {                                        \
        cout << v.at(i) << endl;             \
    }
#define REP(i, n) for (int64_t i = 0; i < n; ++i)
#define FOR(i, r, n) for (int64_t i = (r); i < n; ++i)
#define VIN(v)                               \
    for (int64_t i = 0; i < (v).size(); ++i) \
    {                                        \
        cin >> (v).at(i);                    \
    }
 
typedef vector<bool> bvec;
typedef vector<int> ivec;
typedef vector<long long> lvec;
typedef vector<double> dvec;
typedef vector<pa> pavec;
typedef vector<vector<pa> > pamat;
typedef vector<pali> palivec;
typedef vector<pal> palvec;
 
typedef vector<vector<bool> > bmat;
typedef vector<vector<int> > imat;
typedef vector<vector<long long> > lmat;
 
typedef vector<string> svec;
typedef vector<vector<string> > smat;
const ll infll = (1LL << 60) - 1;
const int inf = (1 << 30) - 1;
const ll MOD = 1000000007;
 
ll gcd(ll x, ll y)
{
    ll r = x % y;
    if (r == 0)
        return y;
    else
        return gcd(y, r);
}

ll lcm(ll x, ll y)
{
    return x * y / gcd(x, y);
}
 
lvec mfactor(ll n)
{
    bvec ip(n, true);
    lvec mf(n, -1);
    ip[0] = false;
    ip[1] = false;
    mf[0] = 0;
    mf[1] = 1;
    REP(i, n)
    {
        if (ip[i])
        {
            mf[i] = i;
            for (ll j = i * i; j < n; j += i)
            {
                ip[j] = false;
                if (mf[j] == -1)
                    mf[j] = i;
            }
        }
    }
    return mf;
}
 
palivec get_prime(ll n, const lvec &mf)
{
    palivec plist;
    while (n != 1)
    {
        int cnt = 0;
        ll m = mf[n];
        while (mf[n] == m)
        {
            cnt++;
            n /= m;
        }
        plist.pb(pali(m, cnt));
    }
    return plist;
}
 
void COMinit(int m, lvec &fac, lvec &finv)
{
    lvec inv(m);
    fac[0] = fac[1] = 1;
    finv[0] = finv[1] = 1;
    inv[1] = 1;
    for (int i = 2; i < m; i++)
    {
        fac[i] = fac[i - 1] * i % MOD;
        inv[i] = MOD - inv[MOD % i] * (MOD / i) % MOD;
        finv[i] = finv[i - 1] * inv[i] % MOD;
 
    }
}
 
ll pow_mod(ll a, ll n)
{
    ll x = 1;
    while (n > 0)
    {
        if (n & 1)
        {
            x = x * a % MOD;
        }
        a = a * a % MOD;
        n >>= 1;
    }
    return x;
}
 
 
ll COM(int n, int k, const lvec &fac, const lvec &finv)
{
    if (n < k)
        return 0;
    if (n < 0 || k < 0)
        return 0;
    return (fac[n] * (finv[k] * finv[n - k] % MOD)) % MOD;
}
 
ll modinv(ll a, ll m)
{
    ll b = m, u = 1, v = 0;
    while (b)
    {
        ll t = a / b;
        a -= t * b;
        swap(a, b);
        u -= t * v;
        swap(u, v);
    }
    u %= m;
    if (u < 0)
        u += m;
    return u;
}




int main()
{
    cin.tie(0);
    ios::sync_with_stdio(false);
    int h, w, k;
    cin >> h >> w >> k;
    svec m(h);
    for (int i=0; i<h; i++){
        cin >> m[i];
    }


    function<int(const bvec&, int)> cal = [&m, &h, &w, &k](const bvec& hline, int n){
        int nw=0;
        ivec v(n+1, 0);
        /*
        for (int i=0; i<h-1; i++){
            cout << hline[i] << ' ';
        }
        cout << endl;
        */
        for (int i=0; i<w; i++){
            int num=0;
            ivec vv(n+1, 0);
            bool flg=false;
            for (int j=0; j<h; j++){
                if(m[j][i] == '1') ++vv[num];
                if(vv[num]>k) return -1;
                if(hline[min(j, h-2)] || j==(h-1)) {
                    if(v[num] + vv[num] > k && !flg) {
                        ++nw;
                        flg=true;
                    }
                    
                    ++num;
                }
            }
            if(flg) v = vv;
            else {
                for(int j=0; j<n+1; j++){
                    v[j] += vv[j];
                }
            }

        }
        int a = n + nw;
        return a;
    };

    int INF = 1e9;
    int ans = INF;
    bvec hline(h-1, false);
    
    function<void(int, int)> dfs = [&dfs, &h, &hline, &ans, &cal](int d, int n1){
        if(d==h-1) {
            int a = cal(hline, n1);
            if(a!=-1) ans = min(ans, a);   
            return;
        }

        hline[d] = false;
        dfs(d+1, n1);
        hline[d] = true;
        dfs(d+1, n1+1);
    };
    dfs(0, 0);
    cout << ans << endl;
}




Measured memory_bytes: 256