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:
// package codechef; // don't place package na


/* Name of the class has to be "Main" only if the class is public. */
    import java.util.*;
import java.io.*;
public class TestClass {
    public static void main(String args[] ) throws Exception {
        Scanner sc=new Scanner(System.in);
        int m=sc.nextInt();
        int n=sc.nextInt();
        int[][] b=new int[m][n];
        int[][] a=new int[m][n];
        int[][] c=new int[m][n];
        for(int i=0;i<m;i++){
            for(int j=0;j<n;j++){
                b[i][j]=sc.nextInt();
                a[i][j]=1;
            }
        }
        for(int i=0;i<m;i++){
            for(int j=0;j<n;j++){
                if(b[i][j]==0){
                    for(int x=0;x<m;x++)
                    a[x][j]=0;
                    for(int x=0;x<n;x++)
                    a[i][x]=0;
                }
            }
        }
        for(int i=0;i<m;i++){
            for(int j=0;j<n;j++){
                if(a[i][j]==1){
                  for(int x=0;x<m;x++)
                    c[x][j]=1;
                    for(int x=0;x<n;x++)
                    c[i][x]=1;  
                }
            }
        }
        boolean flag=true;
        for(int i=0;i<m;i++){
            for(int j=0;j<n;j++){
               if(b[i][j]!=c[i][j]){
                   flag=false;
                   System.out.println("NO");
                   break;
               }
            }
            if(flag==false)
            break;
        }
        if(flag==true){
            System.out.println("YES");
        for(int i=0;i<m;i++){
            for(int j=0;j<n;j++){
                System.out.print(a[i][j]+" ");
            }
            System.out.println();
        }
        }
        
        
    }
}