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

#########
........#
#########
#........
#########
........#
#########
#........
#########
input_of_pc = input().split()

counter_vertical = int(input_of_pc[0])
counter_horizontal = int(input_of_pc[1])

storage = []
counter_storage = 0

if counter_vertical > counter_horizontal:
    biggest = counter_vertical
elif counter_horizontal > counter_vertical:
    biggest = counter_horizontal
elif counter_horizontal == counter_vertical:
    biggest = counter_horizontal

for x in range(1, biggest):
    storage.append(int(x))

while counter_vertical != 0:
    if counter_vertical % 2 != 0:
        print("#" * counter_horizontal)
        counter_vertical -= 1
    elif counter_vertical % 2 == 0:
        if storage[counter_storage] % 2 != 0:
            print("." * int(counter_horizontal - 1) + "#")
            counter_vertical -= 1
            counter_storage += 1
        elif storage[counter_storage] % 2 == 0:
            print("#", end="")
            print("." * int(counter_horizontal - 1))
            counter_vertical -= 1
            counter_storage += 1
