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.*;
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 int checkc(int i,int j,int n,int m,int a[][]){
		int ans=0;
		for(int jj=0;jj<m;jj++){
		   ans=ans | a[i][jj];
		}
		for(int jj=0;jj<n;jj++){
			ans= ans| a[jj][j];
		}
		return ans;
	}
	
	public static void checkr(int i,int j,int n,int m,int a[][]){
		for(int jj=0;jj<m;jj++){
			a[i][jj]=0;
		}
		for(int jj=0;jj<n;jj++){
			a[jj][j]=0;
		}
		return;
	}
	
	public static void main (String[] args) throws java.lang.Exception
	{
		// your code goes here
		Scanner in=new Scanner(System.in);
		int n=in.nextInt();
		int m=in.nextInt();
		int b[][]=new int[n][m];
			int a[][]=new int[n][m];
				int c[][]=new int[n][m];
		for(int i=0;i<n;i++){
			for(int j=0;j<m;j++){
				
				b[i][j]=in.nextInt();
				a[i][j]=-1;
			
			}
			
		}
		
		
		for(int i=0;i<n;i++){
		
		for(int j=0;j<m;j++){
				if(b[i][j]==0){
				checkr(i,j,n,m,a);
				
				}
		}
			
		}
		
		
		for(int i=0;i<n;i++){
			for(int j=0;j<m;j++){
				if(a[i][j]==-1){
					a[i][j]=1;
				}
			}
		}
		
		for(int i=0;i<n;i++){
			for(int j=0;j<m;j++){
				c[i][j]=checkc(i,j,n,m,a);
				
			}
		}
		boolean flag=true;
		for(int i=0;i<n;i++){
				for(int j=0;j<m;j++){
		           if(b[i][j]!=c[i][j]){
		           	flag=false;
		           	break;
		           }		
				
				}
			
			}
		
		if(flag){
			System.out.println("YES");
			for(int i=0;i<n;i++){
				for(int j=0;j<m;j++){
					System.out.print(a[i][j]+" ");
				}
			System.out.println();	
			}
			
		}
		else{
			System.out.println("NO");
		}
		
	}
}