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

#########
........#
#########
#........
#########
........#
#########
#........
#########
num = input()
arr = []
count = 0

for i in range(0, len(num)):
    if num[i] == ' ':
        arr.append(int(num[count:i]))
        count = i+1
    elif i == len(num)-1:
        arr.append(int(num[count:len(num)]))


n = arr[0]
m = arr[1]

''''
#########
........#
#########
#........
#########
........#
#########
#........
#########

'''
movement = ''
right_side = ''
left_side = ''
x = 1
while x <= m:
    movement += '#'
    # right side
    if x == 1:
        left_side += '#'
        right_side += '.'
    elif x == m:
        right_side += '#'
        left_side += '.'
    else:
        right_side += '.'
        left_side += '.'
    x += 1


w = 1
right = True
while w <= n:
    if w%2==1:
        print(movement)
    else :
        if right is True:
            print(right_side)
            right = False
        else :
            print(left_side)
            right = True
    w+=1


