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