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:

import java.util.*;

public class OR_in_Matrix {

    public static void main(String[] args) {
        Scanner in = new Scanner(System.in);
        int m = in.nextInt();
        int n = in.nextInt();
        int[][] b = new int[m][n];
        int[][] a = new int[m][n];
        for (int i = 0; i < m; i++) {
            Arrays.fill(a[i], 1);
        }
        for (int i = 0; i < m; i++) {
            for (int j = 0; j < n; j++) {
                b[i][j] = in.nextInt();
                if (b[i][j] == 0) {
                    for (int k = 0; k < n; k++) {
                        a[i][k] = 0;
                    }
                    for (int k = 0; k < m; k++) {
                        a[k][j] = 0;
                    }
                }
            }
        }
        StringBuilder out = new StringBuilder();
        out.append("YES\n");
        int ans = 0;
        for (int i = 0; i < m; i++) {
            for (int j = 0; j < n; j++) {
                ans = 0;
                for (int k = 0; k < n; k++) {
                    if (ans == 0 && a[i][k] == 0) {
                        ans = 0;
                    } else {
                        ans = 1;
                    }
                }
                for (int k = 0; k < m; k++) {
                    if (ans == 0 && a[k][j] == 0) {
                        ans = 0;
                    } else {
                        ans = 1;
                    }
                }
                if (ans != b[i][j]) {
                    System.out.println("NO");
                    return;
                }
                out.append(a[i][j] + " ");
            }
            out.deleteCharAt(out.length() - 1);
            out.append("\n");
        }
        System.out.print(out);
    }
}