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