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

public class A {
    public static void main(String[] args) {
        InputStream inputStream = System.in;
        OutputStream outputStream = System.out;
        AInputReader in = new AInputReader(inputStream);
        PrintWriter out = new PrintWriter(outputStream);
        TaskA solver = new TaskA();
        solver.solve(1, in, out);
        out.close();
    }
}

class TaskA {
    public void solve(int testNumber, AInputReader in, PrintWriter out) {
        //Read inputs and write the main function.
        int m = in.nextInt();
        int n = in.nextInt();
        int[][] given = new int[m][n];


        for(int i=0;i<m;i++) {
            for(int j=0;j<n;j++) {
                given[i][j] = in.nextInt();
            }
        }

        isPossible(given,m,n,out);
    }

    public void isPossible(int[][] a,int m,int n,PrintWriter out) {
        boolean[][] vis = new boolean[m][n];
        int[] row = new int[m];
        Arrays.fill(row,1);
        int[] col = new int[n];
        Arrays.fill(col,1);

        for(int i=0;i<m;i++) {
            for(int j=0;j<n;j++){
                if(a[i][j]==0){
                    row[i] = 0;
                    col[j] = 0;
                }
            }
        }


        int[][] result = new int[m][n];
        for(int i=0;i<m;i++) {
            for(int j=0;j<n;j++) {
                if(row[i] == 1 && col[j] == 1)
                    result[i][j] = 1;
                else
                    result[i][j] = 0;
            }
        }

        Arrays.fill(row,0);
        Arrays.fill(col,0);
        for(int i=0;i<m;i++) {
            for(int j=0;j<n;j++){
                if(result[i][j]==1){
                    row[i] = 1;
                    col[j] = 1;
                }
            }
        }
        for(int i=0;i<m;i++) {
            for(int j=0;j<n;j++) {
                if(row[i] == 1 || col[j] == 1) {
                    if (a[i][j] != 1) {
                        out.println("NO");
                        return;
                    }
                }
                else {
                    if (a[i][j] != 0) {
                        out.println("NO");
                        return;
                    }
                }
            }
        }


        out.println("YES");
        for(int i=0;i<m;i++) {
            int j=0;
            for(j=0;j<n-1;j++) {
                out.print(result[i][j] + " ");
            }
            out.print(result[i][j]);
            out.println();
        }

    }
}


class AInputReader {
    private final BufferedReader reader;
    private StringTokenizer tokenizer;

    public AInputReader(InputStream stream) {
        reader = new BufferedReader(new InputStreamReader(stream));
        tokenizer = null;
    }

    public String nextLine() {
        try {
            return reader.readLine();
        } catch (IOException e) {
            throw new RuntimeException(e);
        }
    }

    public String next() {
        while (tokenizer == null || !tokenizer.hasMoreTokens()) {
            tokenizer = new StringTokenizer(nextLine());
        }
        return tokenizer.nextToken();
    }

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

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