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.*;
public class Main
{
	public static void main(String [] args)
	{
		Scanner scn = new Scanner(System.in);
	    int n=scn.nextInt();
	    int m=scn.nextInt();
	    
	    for(int i=0;i<n;i++)
	     {
	       for(int j=0;j<m;j++)
	        {
	         if(i%2!=0)
	          {
	            if(j==0 && (i+1)%4==0 || j==m-1 && i%4==1)
	             {
	               System.out.print("#");
	             }
	             else
	             {
	               System.out.print(".");
	             }
	          }
	         else
	          {
	            System.out.print("#");
	          }
	        }
	        System.out.println();
	     }
	    
	}
	
}