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

#########
........#
#########
#........
#########
........#
#########
#........
#########
line=input().split(' ')
n=nn=int(line[0])
m=mm=int(line[1])
count=0
turn=0
ans=0
while ans<n:
	s1=''

	if ans%2==0:
		times=m
		while times>0:
			s1+='#'
			times=times-1
		print (s1)
		ans+=1
		s1=''
	elif ans%2==1:
		if turn%2==0:
			times=m-1
			while times>0:
				s1+='.'
				times=times-1
			s1+='#'
			turn+=1
			
		elif turn%2==1:
			
			s1+='#'
			times=m-1
			while times>0:
				s1+='.'
				times=times-1
			turn+=1
		print (s1)
		ans+=1



