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

x,y = map(int, raw_input().split())
b=[]

for r in range(x):
	b.append([])
	for c in range(y):
		b[r].append(False)

for r in range(x):
	for c in range(y):
		if(r%2==0):
			b[r][c] = True
		else:
			if(r%4==3):
				if (c==0):
					b[r][c] = True
			else:
				if(c==y-1):
					b[r][c] = True
for r in range(x):
	for c in range(y):
		if(b[r][c]):
			sys.stdout.write('#')
		else:
			sys.stdout.write('.')
	print ''
