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.util.NoSuchElementException;
import java.util.Objects;

public class OrInMatrix {

    public static void main(String[] args) {
        Reader read = new Reader();

        int r = read.nextInt();
        int c = read.nextInt();
        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] = read.nextInt();
            }
        }

        for(int i=0; i<r; i++) {
            for(int j=0; j<c; j++) {
                A[i][j] = 1;
            }
        }

        for(int i=0; i<r; i++) {
            for(int j=0; j<c; j++) {
                if(B[i][j] == 0) {
                    for(int k=0; k<r; k++)
                        A[k][j] = 0;
                    for(int k=0; k<c; k++)
                        A[i][k] = 0;
                }
            }
        }

        for(int i=0; i<r; i++) {
            for(int j=0; j<c; j++) {
                if(B[i][j] == 1) {
                    int k=0;
                    boolean rfound = false;
                    boolean cfound = false;
                    while(k < r && !cfound) {
                        if(A[k][j] == 0)
                            k++;
                        else
                            cfound = true;
                    }
                    if(!cfound) {
                        k = 0;
                        while(k < c && !rfound) {
                            if(A[i][k] == 0)
                                k++;
                            else
                                rfound = true;
                        }
                    }
                    if(!rfound && !cfound) {
                        System.out.print("NO");
                        return;
                    }
                }
            }
        }

        System.out.println("YES");
        for(int i=0; i<r; i++) {
            for(int j=0; j<c; j++) {
                System.out.print(A[i][j]+" ");
            }
            System.out.println();
        }
    }

    private static class Reader {

        private final BufferedReader reader;
        private final String separator;
        private String ln;
        private String[] tokens;
        private int ptr;

        Reader(String separator, InputStream input) {
            this.reader = new BufferedReader(new InputStreamReader(input));
            this.separator = separator;
            this.ptr = -1;
        }

        Reader(String separator) { this(separator, System.in); }

        Reader() { this(" "); }

        String nextStr(){
            if (Objects.isNull(ln)) {
                try {
                    ln = reader.readLine();
                } catch (IOException e) {
                    System.out.println(e.getMessage());
                }
                if (Objects.nonNull(ln)) {
                    tokens = ln.split(separator);
                    ptr = 0;
                } else {
                    throw new NoSuchElementException("no next element");
                }

            } else if (ptr == tokens.length) {
                ln = null;
                tokens = null;
                ptr = -1;
                return nextStr();
            }

            return tokens[ptr++];
        }

        int nextInt() { return Integer.parseInt(nextStr()); }

        long nextLong() { return Long.parseLong(nextStr()); }

        double nextDouble() { return Double.parseDouble(nextStr()); }
    }
}