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.io.OutputStream;
import java.io.PrintWriter;
import java.util.Arrays;
import java.util.StringTokenizer;

public class Main {

    public static void main(String[] args) {
        // TODO Auto-generated method stub


        InputStream inputStream = System.in;
        OutputStream outputStream = System.out;
        InputReader s = new InputReader(inputStream);
        PrintWriter out = new PrintWriter(outputStream);
        int m=s.nextInt(),n=s.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]=s.nextInt();
                a[i][j]=1;
            }
        
        for (int i=0;i<m;i++){
            for (int j=0;j<n;j++)
            {
                if (b[i][j]==0)
                {
                    Arrays.fill(a[i], 0);
                    for (int k=0;k<m;k++)
                    {
                        a[k][j]=0;
                    }
                }
            }
        }
            for (int i=0;i<m;i++){
                for (int j=0;j<n;j++)
                {
                    int e=0;
                    for (int o=0;o<m;o++)
                        e|=a[o][j];
                    for (int o=0;o<n;o++)
                        e|=a[i][o];
                    if (e!=b[i][j])
                    {
                        out.println("NO");
                        out.flush();
                        out.close();
                        return;
                    }
                }
                
            }
            
            out .println("YES");
            for (int i=0;i<m;i++){
                for (int j=0;j<n;j++)
                {
                out.print(a[i][j]+" "); 
                } 
                out.println();
                }
                
        
        
        out.flush();
        out.close();
    }

}



class InputReader{
    public BufferedReader reader;
    public StringTokenizer tokenizer;
    
    public InputReader(InputStream stream){
        reader= new BufferedReader(new InputStreamReader (stream), 32768);
        tokenizer=null;
    }
    
    public String next(){
        while(tokenizer==null || !tokenizer.hasMoreTokens()){
            try{
                tokenizer=new StringTokenizer(reader.readLine());
            } catch (IOException e){
                throw new RuntimeException(e);
            }
        }
        return tokenizer.nextToken();
    }
    
    public int nextInt(){
        return Integer.parseInt(next());
    }
    }