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 sys

if __name__ == "__main__":
	inputs = sys.stdin.readline().split()
	N = int(inputs[0])
	M = int(inputs[1])
	across = "#" * M
	right = "." * (M - 1) + "#"
	left = "#" + "." * (M - 1)
	flip = 0
	for n in range(1, N + 1):
		if n % 2 != 0:
			print across
		else:
			if flip == 0:
				flip = 1
				print right
			else:
				flip = 0
				print left


	  						 	 	 	      					