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.util.*;
import java.io.*;

public class _486B {

	public static void main(String[] args) {
		// TODO Auto-generated method stub
		
		FastScanner fs = new FastScanner();
		int m = fs.nextInt();
		int n = fs.nextInt();
		
		int[] row = new int[m];
		int[] col = new int[n];
		
		Arrays.fill(row, -1);
		Arrays.fill(col, -1);
		
		int[][] arr = new int[m][n];
		
		for(int i = 0 ; i < m ; i++)
		{
			for(int j = 0 ; j < n ; j++)
			{
				arr[i][j] = fs.nextInt();	
			}
		}
		
		for(int i = 0 ; i < m ; i++)
		{
			for(int j = 0; j < n; j++)
			{
				if(arr[i][j] == 0)
				{
					row[i] = 0;
					col[j] = 0;
				}
			}
		}
		
		for(int i = 0 ; i < m ; i++)
		{
			for(int j = 0; j < n; j++)
			{
				if(arr[i][j] == 1)
				{
					if(row[i] == 0 && col[j] == 0)
					{
						System.out.println("NO");
						return;
					}
					
					if(row[i] != 0)
					{
						row[i] = 1;
					}
					else if(col[j] != 0)
					{
						col[j] = 1;
					}
				}
			}
		}
		
		int[][] arr1 = new int[m][n];
		for(int i = 0 ; i < m ; i++)
		{
			for(int j = 0 ; j < n ; j++)
			{
				arr1[i][j] = -1;
			}
		}
		
		for(int i = 0; i < m; i++)
		{
			if(row[i] == 0)
			{
				for(int j = 0 ; j < n ; j++)
				{
					arr1[i][j] = 0;
				}
			}
		}
		
		
		for(int i = 0; i < n; i++)
		{
			if(col[i] == 0)
			{
				for(int j = 0 ; j < m ; j++)
				{
					arr1[j][i] = 0;
				}
			}
		}
		
		for(int i = 0; i < m; i++)
		{
			if(row[i] == 1)
			{
				int count = 0;
				
				for(int j = 0 ; j < n ; j++)
				{
					if(arr1[i][j] != 0)
					{
						count++;
					}
					
				}
				
				if(count == 0)
				{
					System.out.println("NO");
					return;
				}
			}
		}
		
		for(int i = 0; i < n; i++)
		{
			if(col[i] == 1)
			{
				int count = 0;
				
				for(int j = 0 ; j < m ; j++)
				{
					if(arr1[j][i] != 0)
					{
						count++;
					}
					
				}
				
				if(count == 0)
				{
					System.out.println("NO");
					return;
				}
			}
		}
		
		
		System.out.println("YES");
		
		for(int i = 0 ; i < m ; i++)
		{
			for(int j = 0 ; j < n ; j++)
			{
				if(arr1[i][j] == -1)
				{
					arr1[i][j] = 1;
				}
				
				System.out.print(arr1[i][j] + " ");
			}
			
			System.out.println("");
		}
		
		
		

	}
	
	static class FastScanner {
		BufferedReader br;
		StringTokenizer st;

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

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

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

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

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

		String nextLine() {
			String str = "";
			try {
				str = br.readLine();
			} catch (IOException e) {
				e.printStackTrace();
			}
			return str;
		}
	}


}