Problem: Let's define logical OR as an operation on two logical values (i. e. values that belong to the set {0, 1}) that is equal to 1 if either or both of the logical values is set to 1, otherwise it is 0. We can define logical OR of three or more logical values in the same manner:

<image> where <image> is equal to 1 if some ai = 1, otherwise it is equal to 0.

Nam has a matrix A consisting of m rows and n columns. The rows are numbered from 1 to m, columns are numbered from 1 to n. Element at row i (1 ≤ i ≤ m) and column j (1 ≤ j ≤ n) is denoted as Aij. All elements of A are either 0 or 1. From matrix A, Nam creates another matrix B of the same size using formula:

<image>.

(Bij is OR of all elements in row i and column j of matrix A)

Nam gives you matrix B and challenges you to guess matrix A. Although Nam is smart, he could probably make a mistake while calculating matrix B, since size of A can be large.

Input

The first line contains two integer m and n (1 ≤ m, n ≤ 100), number of rows and number of columns of matrices respectively.

The next m lines each contain n integers separated by spaces describing rows of matrix B (each element of B is either 0 or 1).

Output

In the first line, print "NO" if Nam has made a mistake when calculating B, otherwise print "YES". If the first line is "YES", then also print m rows consisting of n integers representing matrix A that can produce given matrix B. If there are several solutions print any one.

Examples

Input

2 2
1 0
0 0


Output

NO


Input

2 3
1 1 1
1 1 1


Output

YES
1 1 1
1 1 1


Input

2 3
0 1 0
1 1 1


Output

YES
0 0 0
0 1 0

Solution (in JAVA):

Solution:
/*
 ID: govind.3, GhpS, govindpatel
 LANG: JAVA
 TASK: Main 
 */

import java.io.*;
import java.util.*;

public class Main {

    private void solve() throws IOException {
        StringBuilder sb = new StringBuilder("");
        int testcase = 1;//nextInt();
        int test = 0;
        while (test++ < testcase) {
            int m = nextInt();
            int n = nextInt();
            int[][] a = new int[m][n];
            int[][] b = new int[m][n];

            for (int i = 0; i < m; i++) {
                for (int j = 0; j < n; j++) {
                    b[i][j] = nextInt();
                    a[i][j] = 1;
                }
            }
            for (int i = m - 1; i >= 0; i--) {
                for (int j = n - 1; j >= 0; j--) {
                    if (b[i][j] == 0) {
                        for (int k = 0; k < m; k++) {
                            a[k][j] = 0;
                        }
                        for (int k = 0; k < n; k++) {
                            a[i][k] = 0;
                        }
                    }
                }
            }

            for (int i = m - 1; i >= 0; i--) {
                for (int j = n - 1; j >= 0; j--) {
                    int or = 0;
                    for (int k = 0; k < m; k++) {
                        or |= a[k][j];
                    }
                    for (int k = 0; k < n; k++) {
                        or |= a[i][k];
                    }
                    if (or != b[i][j]) {
                        out.println("NO");
                        return;
                    }
                }
            }

            sb.append("YES\n");
            for (int i = 0; i < m; i++) {
                for (int j = 0; j < n; j++) {
                    sb.append(a[i][j]);
                    if (j != n - 1) {
                        sb.append(" ");
                    }
                }
                sb.append("\n");
            }
        }
        out.print(sb);
    }

    private void shuffle(int[] a, int N) {
        for (int i = 0; i < N; i++) {
            int r = i + (int) ((N - i) * Math.random());
            int t = a[i];
            a[i] = a[r];
            a[r] = t;
        }
    }

    public static void main(String[] args) {
        new Main().run();
    }

    public void run() {
        try {
            in = new BufferedReader(new FileReader("D-large.in"));
            out = new PrintWriter(new BufferedWriter(new FileWriter("Main.out")));
            tok = null;
            solve();
            in.close();
            out.close();
            System.exit(0);
        } catch (IOException e) {//(FileNotFoundException e) {
            try {
                in = new BufferedReader(new InputStreamReader(System.in));
                out = new PrintWriter(new OutputStreamWriter(System.out));
                tok = null;
                solve();
                in.close();
                out.close();
                System.exit(0);
            } catch (IOException ex) {
                System.out.println(ex.getMessage());
                System.exit(0);
            }
        }
    }

    private String nextToken() throws IOException {
        while (tok == null || !tok.hasMoreTokens()) {
            tok = new StringTokenizer(in.readLine());
        }
        return tok.nextToken();
    }

    private int nextInt() throws IOException {
        return Integer.parseInt(nextToken());
    }

    private long nextLong() throws IOException {
        return Long.parseLong(nextToken());
    }

    private double nextDouble() throws IOException {
        return Double.parseDouble(nextToken());
    }
    BufferedReader in;
    StringTokenizer tok;
    PrintWriter out;
}