Fox Ciel starts to learn programming. The first task is drawing a fox! However, that turns out to be too hard for a beginner, so she decides to draw a snake instead.

A snake is a pattern on a n by m table. Denote c-th cell of r-th row as (r, c). The tail of the snake is located at (1, 1), then it's body extends to (1, m), then goes down 2 rows to (3, m), then goes left to (3, 1) and so on.

Your task is to draw this snake for Fox Ciel: the empty cells should be represented as dot characters ('.') and the snake cells should be filled with number signs ('#').

Consider sample tests in order to understand the snake pattern.

Input

The only line contains two integers: n and m (3 ≤ n, m ≤ 50). 

n is an odd number.

Output

Output n lines. Each line should contain a string consisting of m characters. Do not output spaces.

Examples

Input

3 3


Output

###
..#
###


Input

3 4


Output

####
...#
####


Input

5 3


Output

###
..#
###
#..
###


Input

9 9


Output

#########
........#
#########
#........
#########
........#
#########
#........
#########
import java.util.Scanner;
public class s {	  
	public static void main(String args[])   {
		
       Scanner In=new Scanner(System.in);   
        int n=In.nextInt();
        int m=In.nextInt();
        int i,j;
       
    	   for(i=1; i<=n; i++)
    	    {
    	        if(i%4==2)
    	        {
    	            for(j=1; j<m; j++)
    	            {
    	                System.out.print(".");
    	            }
    	            System.out.println("#");
    	          
    	        }
    	       
    	        else if(i%4==0)
    	        {
    	        	System.out.print("#");
    	            for(j=1; j<m; j++)
    	            {
    	            	System.out.print(".");
    	            }
    	            System.out.println();
    	        }
    	        else
    	        {
    	            for(j=1; j<=m; j++)
    	            {
    	                System.out.print("#");
    	            }
    	            System.out.println();
    	        }

    	    }
       In.close(); 
	    }  
	}