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.OutputStream;
import java.io.IOException;
import java.io.InputStream;
import java.io.OutputStream;
import java.io.PrintWriter;
import java.util.Arrays;
import java.io.BufferedWriter;
import java.io.IOException;
import java.io.InputStreamReader;
import java.util.StringTokenizer;
import java.io.Writer;
import java.io.OutputStreamWriter;
import java.io.BufferedReader;
import java.io.InputStream;

/**
 * Built using CHelper plug-in
 * Actual solution is at the top
 *
 * @author Gabriel Carrillo
 */
public class Main {
    public static void main(String[] args) {
        InputStream inputStream = System.in;
        OutputStream outputStream = System.out;
        InputReader in = new InputReader(inputStream);
        OutputWriter out = new OutputWriter(outputStream);
        BORInMatrix solver = new BORInMatrix();
        solver.solve(1, in, out);
        out.close();
    }

    static class BORInMatrix {
        public void solve(int testNumber, InputReader in, OutputWriter out) {
            int m = in.nextInt(), n = in.nextInt();
            int[][] B = new int[m][n], A = new int[m][n], C = new int[m][n];
            boolean[] row = new boolean[m];
            boolean[] col = new boolean[n];

            for (int i = 0; i < m * n; i++) {
                B[i / n][i % n] = in.nextInt();
                if (B[i / n][i % n] == 0) {
                    row[i / n] = true;
                    col[i % n] = true;
                }
            }
            for (int i = 0; i < m; i++)
                if (!row[i])
                    Arrays.fill(A[i], 1);
            for (int i = 0; i < n; i++)
                if (col[i])
                    for (int j = 0; j < m; j++)
                        A[j][i] = 0;
            Arrays.fill(row, false);
            Arrays.fill(col, false);
            for (int i = 0; i < m; i++) {
                for (int j = 0; j < n; j++)
                    if (A[i][j] == 1) {
                        row[i] = true;
                        col[j] = true;
                    }
            }

            for (int i = 0; i < m; i++)
                if (row[i])
                    Arrays.fill(C[i], 1);
            for (int i = 0; i < n; i++)
                if (col[i])
                    for (int j = 0; j < m; j++)
                        C[j][i] = 1;

            for (int i = 0; i < m; i++) {
                for (int j = 0; j < n; j++) {
                    if (C[i][j] != B[i][j]) {
                        out.println("NO");
                        return;
                    }
                }
            }

            out.println("YES");
            for (int i = 0; i < m; i++) {
                for (int j = 0; j < n; j++) {
                    out.printf("%d ", A[i][j]);
                }
                out.println();
            }
        }

    }

    static class InputReader {
        BufferedReader br;
        StringTokenizer st;

        public InputReader() {
            br = new BufferedReader(new InputStreamReader(System.in));
        }

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

        public String next() {
            while (st == null || !st.hasMoreElements()) {
                try {
                    st = new StringTokenizer(br.readLine());
                } catch (IOException e) {
                    e.printStackTrace();
                }
            }
            return st.nextToken();
        }

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

    }

    static class OutputWriter {
        private final PrintWriter writer;

        public OutputWriter(OutputStream outputStream) {
            writer = new PrintWriter(new BufferedWriter(new OutputStreamWriter(outputStream)));
        }

        public OutputWriter(Writer writer) {
            this.writer = new PrintWriter(writer);
        }

        public void print(Object... objects) {
            for (int i = 0; i < objects.length; i++) {
                if (i != 0) {
                    writer.print(' ');
                }
                writer.print(objects[i]);
            }
        }

        public void println() {
            writer.println();
        }

        public void println(Object... objects) {
            print(objects);
            writer.println();
        }

        public void printf(String format, Object... objects) {
            writer.printf(format, objects);
        }

        public void close() {
            writer.close();
        }

    }
}