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

#########
........#
#########
#........
#########
........#
#########
#........
#########
row,column = list(map(int,input().split()))

odd = ["#" for i in range(column)]

even1 = ["."for i in range(column-1)]
even1 += "#"

even2 = ['.' for i in range(column-1)]
even2.insert(0,"#")

res = []
check = False
for i in range(1,row+1):
    
    if i %2 ==1:
        res.append(odd)
    elif i %2 ==0 and check == False:
        check =  True
        res.append(even1)
    else:
        res.append(even2)
        check = False
for i in res:
	for j in i:
		print(j,end="")
	print()
