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

#########
........#
#########
#........
#########
........#
#########
#........
#########




#n * m array
n , m = map(int, input().split())

#when right == True, hash is on right edge
right = True


row = 1
#traverse each row, 1 through n
while row < n + 1:
	mstring = ""
	col = 1
	#if it's an odd numbered row:
	if row % 2 != 0:
		#print m numbered hashes
		while col < m + 1:
			mstring += "#"
			col += 1
		print(mstring)
	#even-numbered row
	elif row % 2 == 0 and right:
		while col < m:
			mstring += "."
			col += 1
		right = False
		mstring += "#"
		print(mstring)
	elif row % 2 == 0 and not right:
		mstring += "#"
		while col < m:
			mstring += "."
			col += 1
		print(mstring)
		right = True
	row += 1




