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.*;
import java.util.StringTokenizer;

public class Main {

    public static void main(String[] args) {
        try (InputReader in = new InputReader(System.in);
             PrintWriter out = new PrintWriter(System.out)) {
            new Main().run(in, out);
        }
    }

    private void run(InputReader in, PrintWriter out) {
        int m = in.nextInt(), n = in.nextInt();
        int[][] a = new int[m][n];
        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();
            }
        }
        for (int i = 0; i < m; i++) {
            for (int j = 0; j < n; j++) {
                if (b[i][j] == 0) {
                    for (int k = 0; k < m; k++) {
                        a[k][j] = 1;
                    }
                    for (int k = 0; k < n; k++) {
                        a[i][k] = 1;
                    }
                }
            }
        }
        for (int i = 0; i < m; i++) {
            loop:
            for (int j = 0; j < n; j++) {
                if (b[i][j] == 1) {
                    int s = 0;
                    for (int k = 0; k < m; k++) {
                        if (a[k][j] == 0) continue loop;
                    }
                    for (int k = 0; k < n; k++) {
                        if (a[i][k] == 0) continue loop;
                    }
                    out.print("NO");
                    return;
                }
            }
        }
        out.println("YES");
        for (int i = 0; i < m; i++) {
            for (int j = 0; j < n; j++) {
                out.print(a[i][j] == 1 ? "0" : "1");
                out.print(' ');
            }
            out.println();
        }
    }

    private static class InputReader implements AutoCloseable {

        private final BufferedReader reader;
        private StringTokenizer tokenizer;

        public InputReader(InputStream in) {
            reader = new BufferedReader(new InputStreamReader(in));
        }

        private String next() {
            while (tokenizer == null || !tokenizer.hasMoreTokens()) {
                try {
                    tokenizer = new StringTokenizer(reader.readLine());
                } catch (IOException e) {
                    throw new RuntimeException(e);
                }
            }
            return tokenizer.nextToken();
        }

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

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

        @Override
        public void close() {
            try {
                reader.close();
            } catch (IOException e) {
                throw new RuntimeException(e);
            }
        }
    }
}