#pragma GCC target("avx2")
#pragma GCC optimize("O3")
#pragma GCC optimize("unroll-loops")

#include <cassert>
#include <iostream>
#include <string>
#include <vector>

constexpr int MAX_N = 24;
constexpr int HALF = MAX_N / 2;

int res[1 << (MAX_N - 1)][HALF];
int f[1 << MAX_N]{};

int main() {
    std::ios::sync_with_stdio(false);
    std::cin.tie(nullptr);

    int n, m, k;
    std::cin >> n >> m >> k;

    std::vector<int> S(m);

    for (int i = 0; i < m; ++i) {
        std::string s;
        std::cin >> s;
        for (int j = 0; j < n; ++j) {
            S[i] |= (s[j] - '0') << j;
        }
    }

    if (k <= HALF) {
        /*
        [1,1]
        [1,x]
        */

        for (int i = 0; i < 1 << n; ++i) {
            f[i] = m;
        }

        for (int topbit : { 0, 1 }) {
            for (int i = 0; i < 1 << (MAX_N - 1); ++i) for (int j = 0; j < HALF; ++j) res[i][j] = 0;

            for (const int s : S) if ((s >> (n - 1)) == topbit) ++res[s & ~(1 << (n - 1))][0];

            for (int B = 1; B < 1 << (n - 1); B <<= 1) {
                for (int L = 0; L < 1 << (n - 1); L += 2 * B) {
                    for (int p = 0; p < B; ++p) {
                        int* u = res[L + p], * v = res[L + B + p];
                        for (int t = k; t--;) {
                            int tmp = u[t];
                            u[t] = tmp + v[t];
                            v[t] = tmp + (t ? v[t - 1] : 0);
                        }
                    }
                }
            }
            for (int T = 0; T < 1 << n; ++T) {
                int x = (T >> (n - 1)) == 1 and topbit == 1;
                for (int i = 0; i < k - x; ++i) {
                    f[T] -= res[T & ~(1 << (n - 1))][i];
                }
            }
        }

        std::vector<int> g(m + 1, n);
        for (int T = 0; T < 1 << n; ++T) {
            int T_size = __builtin_popcount(T);
            g[f[T]] = std::min(g[f[T]], T_size);
        }

        for (int i = m - 1; i >= 0; --i) g[i] = std::min(g[i], g[i + 1]);

        for (int i = 1; i <= m; ++i) std::cout << g[i] << '\n';
    } else {
        const int r = n - k + 1;
        /*
        [x,x]
        [x,1]
        */

        for (int topbit : { 0, 1 }) {
            for (int i = 0; i < 1 << (MAX_N - 1); ++i) for (int j = 0; j < HALF; ++j) res[i][j] = 0;
        
            for (const int s : S) if ((s >> (n - 1)) == topbit) ++res[s & ~(1 << (n - 1))][0];
        
            for (int B = 1; B < 1 << (n - 1); B <<= 1) {
                for (int L = 0; L < 1 << (n - 1); L += 2 * B) {
                    for (int p = 0; p < B; ++p) {
                        int* u = res[L + p], * v = res[L + B + p];
                        for (int t = r; t-- > 1;) {
                            u[t] = u[t - 1] + v[t - 1];
                            v[t] += u[t - 1];
                        }
                        u[0] = 0;
                    }
                }
            }
            for (int T = 0; T < 1 << n; ++T) {
                int x = (T >> (n - 1)) == 0 or topbit == 0;
                for (int i = 0; i < r - x; ++i) {
                    f[T] += res[T & ~(1 << (n - 1))][i];
                }
            }
        }

        std::vector<int> g(m + 1, n);
        for (int T = 0; T < 1 << n; ++T) {
            int T_size = __builtin_popcount(T);
            g[f[T]] = std::min(g[f[T]], T_size);
        }

        for (int i = m - 1; i >= 0; --i) g[i] = std::min(g[i], g[i + 1]);

        for (int i = 1; i <= m; ++i) std::cout << g[i] << '\n';
    }
}