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

#########
........#
#########
#........
#########
........#
#########
#........
#########
/******************************************************************************

                            Online Java Compiler.
                Code, Compile, Run and Debug java program online.
Write your code in this editor and press "Run" button to execute it.

*******************************************************************************/
import java.util.*;
public class Main
{
	public static void main(String[] args) {
	
	    Scanner sc=new Scanner(System.in);
	    
	    int n=sc.nextInt();
	   int m=sc.nextInt();
	   int i;
	   int j;
	   int t;
	   for(i=1;i<=n;i++)
	   {
	       if(i%2==0)
	        {
	            if(i%4!=0)
	        {
	             t=m;
	            while(t-->1)
	            {
	                System.out.print(".");
	            }
	            System.out.println("#");
	        }
	        else
	        {
	             t=m;
	             System.out.print("#");
	            while(t-->1)
	            {
	                System.out.print(".");
	            }
	            System.out.println();
	        
	        }
	        
	           }
	        else
	        {
	             t=m;
	            while(t-->0)
	            {
	                System.out.print("#");
	            }
	            System.out.println();
	        
	           }
	   }
	     sc.close();
	}
}
