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.io.BufferedReader;
import java.io.IOException;
import java.io.InputStream;
import java.io.InputStreamReader;
import java.math.BigInteger;
import java.util.*;

public class sa {
	
	public static void helper(int [][]arr,int n,int m,int c1,int[][]ans){
		if(n==1 && m==1) {
			System.out.println("YES");
			System.out.println(arr[0][0]);
			return;
		}
		
		if(c1==n*m) {
			System.out.println("YES");
			for(int i=0;i<n;i++) {
				for(int j=0;j<m;j++) {
					System.out.print(1+" ");
				}
				System.out.println();
			}
			return;
			
		}
		
		if(c1==0) {
			System.out.println("YES");
			for(int i=0;i<n;i++) {
				for(int j=0;j<m;j++) {
					System.out.print(0+" ");
				}
				System.out.println();
			}
			return;
			
		}
		HashSet<Integer> rows=new HashSet<>();
		HashSet<Integer> columns=new HashSet<>();
		for(int i=0;i<n;i++) {
			for(int j=0;j<m;j++) {
				if(arr[i][j]==0) {
					rows.add(i);
					columns.add(j);
				}
			}
		}
		HashSet<Integer> rows2=new HashSet<>();
		HashSet<Integer> columns2=new HashSet<>();
		
		for(int i=0;i<n;i++) {
			for(int j=0;j<m;j++) {
				if(rows.contains(i) || columns.contains(j)) {
					ans[i][j]=0;
				}
				else {
					ans[i][j]=1;
					rows2.add(i);
					columns2.add(j);
				}
			}
		}
		for(int i=0;i<n;i++) {
			for(int j=0;j<m;j++) {
				if(arr[i][j]==1) {
					if(rows2.contains(i) || columns2.contains(j))
						continue;
					else {
						System.out.println("NO");
						return;
					}
				}
			}
		}
		System.out.println("YES");
		for(int i=0;i<n;i++) {
			for(int j=0;j<m;j++)
				System.out.print(ans[i][j]+" ");
			System.out.println();
		}
		
		
		
		
		
	}

	public static void main(String[] args) throws IOException {
		// TODO Auto-generated method stub
		Reader.init(System.in);
		int n=Reader.nextInt();
		int m=Reader.nextInt();
		int arr[][]=new int[n][m];
		int ans[][]=new int[n][m];
		int c1=0;
		for(int i=0;i<n;i++) {
			for(int j=0;j<m;j++) {
				arr[i][j]=Reader.nextInt();
				if(arr[i][j]==1)
					c1++;
			}
		}
		helper(arr,n,m,c1,ans);
	
	
		
		
		
		
		
		
	}
			

}





class Reader {
    static BufferedReader reader;
    static StringTokenizer tokenizer;
 
    /** call this method to initialize reader for InputStream */
    static void init(InputStream input) {
        reader = new BufferedReader(
                     new InputStreamReader(input) );
        tokenizer = new StringTokenizer("");
    }
 
    /** get next word */
    static String next() throws IOException {
        while ( !tokenizer.hasMoreTokens() ) {
            //TODO add check for eof if necessary
            tokenizer = new StringTokenizer(
                   reader.readLine() );
        }
        return tokenizer.nextToken();
    }
    static int nextInt() throws IOException {
        return Integer.parseInt(next());
    }
	
    static double nextDouble() throws IOException {
        return Double.parseDouble(next());
    }
}