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

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

constexpr int MAX_SIZE = HALF;

int res[1 << (MAX_N - 1)][MAX_SIZE]{};
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<std::string> S(m);

    for (int i = 0; i < m; ++i) {
        std::cin >> S[i];
    }

    if (n <= HALF) {
        for (const auto &s_str : S) {
            int s = 0;
            for (int i = 0; i < n; ++i) s |= (s_str[i] - '0') << i;
            ++res[s][0];
        }
        /*
        [1,1]
        [1,x]
        */
        for (int B = 1; B < 1 << n; B <<= 1) {
            for (int L = 0; L < 1 << n; 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);
                    }
                }
            }
        }

        std::vector<int> g(m + 1, n);
        for (int T = 0; T < 1 << n; ++T) {
            int T_size = __builtin_popcount(T);
            int f_T = m;
            for (int i = 0; i < k; ++i) f_T -= res[T][i];
            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';
        return 0;
    }

    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 << (n - 1); ++i) {
                for (int j = 0; j < HALF; ++j) res[i][j] = 0;
            }
            for (const auto &s_str : S) {
                int s = 0;
                for (int i = 0; i < n; ++i) s |= (s_str[i] - '0') << i;
                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);
                        }
                    }
                }
            }
            if (topbit == 0) {
                for (int T = 0; T < 1 << n; ++T) {
                    for (int i = 0; i < k; ++i) {
                        f[T] -= res[T & ~(1 << (n - 1))][i];
                    }
                }
            } else {
                for (int T = 0; T < 1 << n; ++T) {
                    if (T >> (n - 1)) {
                        for (int i = 0; i < k - 1; ++i) {
                            f[T] -= res[T & ~(1 << (n - 1))][i];
                        }
                    } else {
                        for (int i = 0; i < k; ++i) {
                            f[T] -= res[T][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 << (n - 1); ++i) {
                for (int j = 0; j < HALF; ++j) res[i][j] = 0;
            }
            for (const auto &s_str : S) {
                int s = 0;
                for (int i = 0; i < n; ++i) s |= (s_str[i] - '0') << i;
                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;
                    }
                }
            }
            if (topbit == 0) {
                for (int T = 0; T < 1 << n; ++T) {
                    for (int i = 0; i < r - 1; ++i) {
                        f[T] += res[T & ~(1 << (n - 1))][i];
                    }
                }
            } else {
                for (int T = 0; T < 1 << n; ++T) {
                    if (T >> (n - 1)) {
                        for (int i = 0; i < r; ++i) {
                            f[T] += res[T & ~(1 << (n - 1))][i];
                        }
                    } else {
                        for (int i = 0; i < r - 1; ++i) {
                            f[T] += res[T][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';
    }
}