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.ArrayList;
import java.util.Arrays;
import java.util.Scanner;
import java.util.StringTokenizer;

public class CodeForces {

    public static void main(String[] args) throws IOException{
        sin.init(System.in);
        int n = sin.nextInt(), m = sin.nextInt();
        byte arr[][] = new byte[n][m];
        boolean []r = new boolean[n], c = new boolean[m];
        boolean b = false, z = true;
        
        for(int i = 0; i < n; i++){
            for(int j = 0; j < m; j++){
                arr[i][j] = sin.nextByte();
                if(arr[i][j] == 0){
                    r[i] = true;
                    c[j] = true;
                }
                else
                    b = true;
            }
        }
        
        StringBuilder ans = new StringBuilder();
        for(int i = 0; i < n; i++){
            for(int j = 0; j < m; j++){
                if(!r[i] && !c[j]){
                    ans.append(1).append(" ");
                    z = false;
                }
                else
                    ans.append(0).append(" ");
                
                if(arr[i][j] == 1 && (r[i] && c[j])){
                    System.out.println("NO"); return;
                }

            }
            ans.append("\n");
        }
        
        if(z && b)
            System.out.println("NO");
        else
            System.out.print("YES\n" + ans);
        
       
    }

    }




class sin {

    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 byte nextByte() throws IOException {
        return Byte.parseByte(next());
    }

    static long nextLong() throws IOException {
        return Long.parseLong(next());
    }

    static double nextDouble() throws IOException {
        return Double.parseDouble(next());
    }
}