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.File;
import java.io.FileNotFoundException;
import java.io.FileReader;
import java.io.IOException;
import java.io.InputStreamReader;
import java.io.PrintWriter;
import java.util.StringTokenizer;

public class B {

    public void solve() {
        int m = in.nextInt();
        int n = in.nextInt();
        int b[][] = new int[m][n];
        for (int i = 0 ; i < m; i++) {
            for (int j = 0; j < n; j++) {
                b[i][j] = in.nextInt();
            }
        }
        
        int a[][] = new int[m][n];
        for (int i = 0 ; i < m; i++) {
            for (int j = 0; j < n; j++) {
                if (b[i][j] == 1) {
                    boolean ok = true;
                    for (int l = 0; l < m; l++)
                        if (b[l][j] == 0)
                            ok  =false;
                    for (int l = 0; l < n; l++)
                        if (b[i][l] == 0)
                            ok  =false;
                    if (ok) {
                        a[i][j] = 1;
                    }
                }
            }
        }
        
        int c[][] = new int[m][n];
        for (int i = 0 ; i < m; i++) {
            for (int j = 0; j < n; j++) {
                if (a[i][j] == 1) {
                    boolean ok = true;
                    for (int l = 0; l < m; l++)
                        c[l][j] = 1;
                    for (int l = 0; l < n; l++)
                        c[i][l] = 1;
                }
            }
        }
        
        for (int i = 0 ; i < m; i++) {
            for (int j = 0; j < n; j++) {
                if (b[i][j] != c[i][j]) {
                    out.println("NO");
                    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();
        }
    }

    String file = "";
    FastReader in;
    PrintWriter out;

    public void run() throws FileNotFoundException {
        if (file.length() == 0) {
            in = new FastReader();
            out = new PrintWriter(System.out);
        } else {
            in = new FastReader(file + ".in");
            out = new PrintWriter(new File(file+".out"));
        }
        solve();
        out.flush();
        out.close();
    }

    public static void main(String[] args) throws FileNotFoundException {
        new B().run();
    }

    class FastReader {

        BufferedReader bf;
        StringTokenizer st;

        public FastReader() {
            bf = new BufferedReader(new InputStreamReader(System.in));
        }

        public FastReader(String file) {
            try {
                bf = new BufferedReader(new FileReader(file));
            } catch (FileNotFoundException ex) {
            }
        }

        public String next() {
            while (st == null || !st.hasMoreTokens()) {
                try {
                    st = new StringTokenizer(bf.readLine());
                } catch (IOException ex) {
                }
            }
            return st.nextToken();
        }

        public int nextInt() {
            return Integer.parseInt(next());
        }

        public long nextLong() {
            return Long.parseLong(next());
        }
    }

}