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 Codeforces {
    static int ans[][];
    static void change(int p,int q,int n,int m)
    {
        for(int i=0;i<m;i++)
        {
            ans[i][q]=0;
        }
        for(int j=0;j<n;j++)
            ans[p][j]=0;
    }
    static boolean check(int p,int q,int n,int m)
    {
        for(int i=0;i<m;i++)
        {
            if(ans[i][q]==1)
                return true;
        }
        for(int j=0;j<n;j++)
        {
            if(ans[p][j]==1)
                return true;
        }
        return false;
    }
    public static void main(String[] args) throws java.lang.Exception {
        /* your code goes here */
        BufferedReader buf = new BufferedReader(new InputStreamReader(System.in));
        // int t = Integer.parseInt(buf.readLine());
        StringBuilder sb = new StringBuilder();

        //  for(int i=0;i<t;i++) {
        String st1[] = (buf.readLine()).split(" ");
        int m = Integer.parseInt(st1[0]);
        int n=Integer.parseInt(st1[1]);
        int arr[][]=new int[m][n];
        for(int j=0;j<m;j++)
        {
            String st2[]=(buf.readLine()).split(" ");
            for(int z=0;z<n;z++)
                arr[j][z]=Integer.parseInt(st2[z]);
        }
        ans=new int[m][n];
        for(int j=0;j<m;j++)
        {
            for(int z=0;z<n;z++)
                ans[j][z]=1;
        }
        for(int j=0;j<m;j++)
        {
            for(int z=0;z<n;z++)
            {
                if(arr[j][z]==0)
                    change(j,z,n,m);
            }
        }
        int flag=0;
        for(int j=0;j<m;j++)
        {
            for(int z=0;z<n;z++)
            {
                if(arr[j][z]==1)
                {
                    boolean get=check(j,z,n,m);
                            if(get==false) {
                                flag = 1;
                                break;
                            }
                }
            }
            if(flag==1)
                break;
        }
        if(flag==1)
            sb.append("NO"+"\n");
        else
        {
            sb.append("YES"+"\n");
            for(int j=0;j<m;j++)
            {
                for(int z=0;z<n;z++)
                    sb.append(ans[j][z]+" ");
                sb.append("\n");
            }
        }
        System.out.println(sb);
    }
}