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

#########
........#
#########
#........
#########
........#
#########
#........
#########
def ret_input():
    n_and_m = [int(x) for x in raw_input().split()]
    return n_and_m 

def fas(data):
    n, m = data[0],data[1]
    for x in xrange(1,n+1):
        if x % 2 == 1:
            print '#' * m
        elif x % 4 == 0:
            print '#' + (m-1) * '.'
        else:
            print (m-1) * '.' + '#'

def main():
    data = ret_input()
    fas(data)

if __name__ == '__main__':
    main()