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

#########
........#
#########
#........
#########
........#
#########
#........
#########
nums = [int(x) for x in input().strip().split(' ')]
a = "#"
b = "."
n = nums[-1]
m = nums [-2]
c = n-1
d =  3

if m==3 and n==3:
	print (a*3)
	print ((b*2) + a)
	print (a*3)
elif m==3 and n>3:
	print (a*n)
	print ((b*c) + a)
	print (a*n)
else:
	while (d<m):
		print (a*n)
		print ((b*c) + a)
		print (a*n)
		print (a + (b*c))
		d=d+4
	if (d==7 and m==7) or (d==11 and m==11) or (d==15 and m==15) or (d==19 and m==19) or (d==23 and m==23) or (d==27 and m==27) or (d==31 and m==31) or (d==35 and m==35) or (d==39 and m==39) or (d==43 and m==43) or (d==47 and m==47):
		print (a*n)
		print ((b*c) + a)
		print (a*n)
	else:
		print (a*n)