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 FoxAndSnake {

	public static void main(String[] args) {
		// TODO Auto-generated method stub
Scanner sc = new Scanner(System.in);
int n=sc.nextInt();
int m=sc.nextInt();int c=1,d=0;
for(int i=0;i<n;i++)
{
		if(i%2==0)
		{
		 for(int k =0;k<m;k++)
			 System.out.print("#");
		}
		else
		{if(c==1)
		{
			for(int k=0;k<m-1;k++)
				System.out.print(".");
			System.out.print("#");
			d=1;
			c=0;
		}
		else if(d==1)
		{	System.out.print("#");
			for(int k=1;k<m;k++)
				System.out.print(".");
			c=1;d=0;
		}
			
			
			
	}
		System.out.println();
	}

	}
}
