import java.io.PrintWriter;
import java.util.Arrays;
import java.util.Scanner;

public class Main {
    static final int MAX_N = 24;
    static final int MAX_HALF_N = (MAX_N + 1) / 2;
    static final int MASK_HALF_N = (1 << MAX_HALF_N) - 1;
    public static void main(String[] args) {
        var sc = new Scanner(System.in);
        final int n = Integer.parseInt(sc.next());
        final int m = Integer.parseInt(sc.next());
        final int k = Integer.parseInt(sc.next());
        var f = new int[1 << n];
        for (int i = 0; i < m; ++i) {
            var s = sc.next();
            int x = 0;
            for (int j = 0; j < n; ++j) {
                x |= (s.charAt(j) - '0') << j;
            }
            ++f[x];
        }
        sc.close();

        var binom = new int[n + 1][n + 1];
        for (int i = 0; i <= n; ++i) {
            binom[i][0] = 1;
            for (int j = 1; j <= i; ++j) binom[i][j] = binom[i - 1][j - 1] + binom[i - 1][j];
        }
        var a = new int[n + 1];
        for (int l = k; l <= n; ++l) {
            a[l] = 1;
            for (int i = k; i < l; ++i) a[l] -= a[i] * binom[l][i];
        }

        for (int b = 1; b < 1 << n; b *= 2) for (int l = 0; l < 1 << n; l += 2 * b) for (int p = l; p < l + b; ++p) {
            f[p] += f[b + p];
        }
        var popc = new int[1 << MAX_HALF_N];
        for (int i = 1; i < 1 << MAX_HALF_N; ++i) {
            popc[i] = 1 + popc[i & (i - 1)];
        }
        for (int i = 0; i < 1 << n; ++i) {
            f[i] *= a[popc[i & MASK_HALF_N] + popc[i >> MAX_HALF_N]];
        }
        for (int b = 1; b < 1 << n; b *= 2) for (int l = 0; l < 1 << n; l += 2 * b) for (int p = l; p < l + b; ++p) {
            f[b + p] += f[p];
        }
        
        var g = new int[m + 1];
        Arrays.fill(g, n);
        for (int t = 0; t < 1 << n; ++t) {
            g[f[t]] = Math.min(g[f[t]], popc[t & MASK_HALF_N] + popc[t >> MAX_HALF_N]);
        }
        for (int p = m - 1; p >= 0; --p) {
            g[p] = Math.min(g[p], g[p + 1]);
        }
        var pw = new PrintWriter(System.out);
        for (int p = 1; p <= m; ++p) {
            pw.println(g[p]);
        }
        pw.flush();
        pw.close();
    }
}