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:
/* package whatever; // don't place package name! */

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

/* Name of the class has to be "Main" only if the class is public. */
public class Ideone
{
	public static void main (String[] args) throws java.lang.Exception
	{
		Scanner in = new Scanner(System.in);
        int m = in.nextInt();int g = 0; int h = 0;int k = 0; int y = 0;int z = 0;int r = 0;int p = 0;
        int n = in.nextInt();
        int[][] b = new int[m][n];
        int[][] a = new int[m][n];
        int[][] c = new int[m][n];
        for(int i = 0 ; i < m; i++)
        {
            for(int j = 0; j < n; j++)
            {
                b[i][j] = in.nextInt();
            }
        }
        for(int i = 0 ; i < m; i++)
        {
            for(int j = 0; j < n; j++)
            {
                a[i][j] = 1;
            }
        }
        for(int i = 0 ; i < m; i++)
        {
            for(int j = 0; j < n; j++)
            {
                if(b[i][j] == 0)
                {
                    for( k = 0; k < n; k++)
                    {a[i][k] = 0;}
                    for( r = 0; r < m; r++)
                    {a[r][j] = 0;}
                }
            }
        }
        for(int i = 0 ; i < m; i++)
        {
            for(int j = 0; j < n; j++)
            {
                for( k = 0; k < n; k++)
                {y = y | a[i][k]; }
                for( k = 0; k < m; k++)
                {z = z | a[k][j];}
                c[i][j] = y | z ;
                y = 0;
                z = 0;
            }
        }//System.out.println(a[0][0] | 1);
        //h = 0;
        for(int i = 0 ; i < m; i++)
        {
            for(int j = 0; j < n; j++)
            {
                if(b[i][j] == c[i][j])
                  {  h++; }
            }
        }
        if(h == m*n)
        {System.out.println("YES");
        for(int i = 0 ; i < m; i++)
        {
            for(int j = 0; j < n; j++)
            {
                System.out.print(a[i][j] + " ");
            }
            System.out.println();
        }
        }
        else
        System.out.println("NO");
	}
}