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

#########
........#
#########
#........
#########
........#
#########
#........
#########
(r, c) = list(map(int , input().split()))
	
def main():
	board = []
	for i in range(r):
		board.append([])
		for j in range(c):
			board[i].append(r".")
	i = 0
	count = 0
	while(i < r):
		board[i] = r"#" * c
		if i+1 < r and count % 2 == 0:
			board[i+1][c-1] = r"#"
			count += 1
		elif i+1 < r and count % 2 != 0:
			board[i+1][0] = r"#"
			count += 1	
		i += 2
	for row in board:	
		print ("".join(row))


if __name__ == "__main__":
	main()
