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.io.OutputStream;
import java.io.PrintWriter;
import java.util.Arrays;
import java.util.StringTokenizer;

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

class TaskA {
	public void solve(int testNumber, InputReader in, PrintWriter out) {
		long n = in.nextLong();
		out.println((n & 1) == 1 ? -(n + 1) / 2 : n / 2);
	}
}

class ORinMatrix {
	public void solve(int testNumber, InputReader in, PrintWriter out) {
		int m = in.nextInt(), n = in.nextInt();
		boolean fi = false;
		int[][] mat = new int[m + 1][n + 1];
		for (int i = 0; i <= m; i++)
			Arrays.fill(mat[i], 1);

		for (int i = 1; i <= m; i++)
			for (int j = 1; j <= n; j++) {
				mat[i][j] = in.nextInt();
				if (mat[i][j] == 0) {
					mat[i][0] = 0;
					mat[0][j] = 0;
				}
			}

		for (int i = 1; i <= m && !fi; i++)
			for (int j = 1; j <= n && !fi; j++) 
				fi = (mat[i][j] == 1 && mat[i][0] == 0 && mat[0][j] == 0);
			
		
		for (int i = 1; i <= m && !fi; i++)
			if (mat[i][0] == 0)
				for (int j = 1; j <= n; j++)
					mat[i][j] = 0;

		for (int j = 1; j <= n && !fi; j++)
			if (mat[0][j] == 0)
				for (int i = 1; i <= m; i++)
					mat[i][j] = 0;

		for (int i = 1; i <= m && !fi; i++)
			if (mat[i][0] == 1) {
				boolean ok = false;
				for (int j = 1; j <= n && !ok; j++)
					if (mat[i][j] == 1)
						ok = true;
				fi = !ok;
			}

		for (int j = 1; j <= n && !fi; j++)
			if (mat[0][j] == 1) {
				boolean ok = false;
				for (int i = 1; i <= m && !ok; i++)
					if (mat[i][j] == 1)
						ok = true;
				fi = !ok;
			}

		if (fi) {
			out.println("NO");
		} else {
			out.println("YES");
			for (int i = 1; i <= m; i++) {
				for (int j = 1; j <= n; j++)
					out.print(mat[i][j] + " ");
				out.println();
			}
		}
	}
}

class InputReader {
	public BufferedReader reader;
	public StringTokenizer tokenizer;

	public InputReader(InputStream stream) {
		reader = new BufferedReader(new InputStreamReader(stream), 32768);
		tokenizer = null;
	}

	public 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());
	}
}