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.*;
import java.util.*;

public class Prb2{

    static PrintWriter pw;
    static Scanner sc;
    
    static void print(final String arg) {
      pw.write(arg);
      pw.flush();
    } 

    static void runFile() throws Exception {

      sc = new Scanner(new FileReader("input.txt"));
      pw = new PrintWriter(new BufferedWriter(new FileWriter("output.txt")));

    }

    static void runIo() throws Exception  {

      pw =new PrintWriter(System.out);
      sc = new Scanner(System.in);

    }    



   static long mod = 1000000000+7;

    public static void main(String[] args)  throws Exception {


         // runFile();

          runIo();   

         int m = sc.nextInt();

         int n = sc.nextInt();

         int ar[][] = new int[m][n];
         int org[][] = new int[m][n];

         ArrayList< int[] > zero = new ArrayList();  

         for(int i = 0; i<m; i++) {
            for(int j = 0; j<n; j++){

                int v = sc.nextInt();
                org[i][j] = v;
                ar[i][j] = 1;

                if(v == 0){
                    zero.add(new int[]{i, j});
                }
            }
        }



        for(int [] p : zero) {


            int r = p[0];
            int c = p[1];

            for(int i = 0; i < n; i++)
                ar[r][i] = 0;

            for(int i = 0; i < m; i++)
                ar[i][c] = 0;


        }

        Set<Integer> row = new HashSet();
        Set<Integer> col = new HashSet();

        for(int i = 0; i<m;i++)
            for(int j = 0;j<n;j++)
                if(ar[i][j ] == 1){
                    row.add(i);
                    col.add(j);
                }

        boolean flag = true;

        for(int i = 0; i<m;i++){
            for(int j = 0;j<n;j++){

                if( org[i][j] == 1) {
                    if( ! (row.contains(i) || col.contains(j)) ){
                        flag = false;
                        break;
                    }
                }

            }
            if( !flag){
                break;
            }
        }


        if( flag){
            print("YES\n");
        for(int i = 0; i<m;i++){
            for(int j = 0;j<n;j++){
                print(ar[i][j]+" ");
            }
            print("\n");
        }
        }
        else print("NO");

                                         
   }


}