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.InputStreamReader;
import java.io.PrintWriter;
import java.util.*;

public class CF_Div2_277_B {

    static int INFINITY = 2000000000;

    public static void main(String[] args) throws IOException {
        br = new BufferedReader(new InputStreamReader(System.in));
        out = new PrintWriter(System.out);
        sc = new StringTokenizer("");

        int r = nxtInt();
        int c = nxtInt();

        int[][] b = new int[r][c];
        int[][] a = new int[r][c];

        for (int i = 0; i < r; i++) {
            for (int j = 0; j < c; j++) {
                b[i][j] = nxtInt();
            }
        }

        for (int i = 0; i < r; i++) {
            Arrays.fill(a[i], 1);
        }

        for (int i = 0; i < r; i++) {
            for (int j = 0; j < c; j++) {
                int x = b[i][j];
                // fill.
                if (x == 0) {
                    for (int k = 0; k < r; k++) {
                        a[k][j] = 0;
                    }
                    for (int t = 0; t < c; t++) {
                        a[i][t] = 0;
                    }
                }
            }
        }

        boolean all = true;
        for (int i = 0; i < r; i++) {
            for (int j = 0; j < c; j++) {
                boolean can = false;
                int x = b[i][j];
                // fill.
                if (x == 1) {
                    for (int k = 0; k < r; k++) {
                        if (a[k][j] == 1) {
                            can =true;
                        }
                        
                    }
                    for (int t = 0; t < c; t++) {
                        if (a[i][t] == 1) {
                            can =true;
                        }
                    }
                    if(!can){
                        all=false;
                        break;
                    }
                }
                
            }
        }

        if (!all) {
            System.out.println("NO");
        } else {
            System.out.println("YES");
            for (int i = 0; i < r; i++) {
                for (int j = 0; j < c; j++) {
                    if (j == 0) {
                        System.out.print(a[i][j]);
                    } else {
                        System.out.print(" " + a[i][j]);

                    }
                }
                System.out.println();
            }
        }

    }// end Main.

    static BufferedReader br;
    static StringTokenizer sc;
    static PrintWriter out;

    static String nxtTok() throws IOException {
        while (!sc.hasMoreTokens()) {
            String s = br.readLine();
            if (s == null)
                return null;
            sc = new StringTokenizer(s.trim());
        }
        return sc.nextToken();
    }

    static int nxtInt() throws IOException {
        return Integer.parseInt(nxtTok());
    }

    static long nxtLng() throws IOException {
        return Long.parseLong(nxtTok());
    }

    static double nxtDbl() throws IOException {
        return Double.parseDouble(nxtTok());
    }

    static int[] nxtIntArr(int n) throws IOException {
        int[] a = new int[n];
        for (int i = 0; i < n; i++)
            a[i] = nxtInt();
        return a;
    }

    static long[] nxtLngArr(int n) throws IOException {
        long[] a = new long[n];
        for (int i = 0; i < n; i++)
            a[i] = nxtLng();
        return a;
    }

    static char[] nxtCharArr() throws IOException {
        return nxtTok().toCharArray();
    }

}// end class