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

#########
........#
#########
#........
#########
........#
#########
#........
#########
#!/usr/bin/env python3

from sys import stdin


def main():
    total_lines, line_len = stdin_get_ints_from_line()

    for line_num in range(total_lines):
        line_type = line_num % 4
        if line_type in (0, 2):
            line = '#' * line_len
        elif line_type == 1:
            line = '.' * (line_len - 1)
            line += '#'
        elif line_type == 3:
            line = '#'
            line += '.' * (line_len - 1)

        print(line)


def stdin_get_ints_from_line():
    return (int(x) for x in stdin.readline().strip().split(' '))


def stdin_get_ints_list_from_line():
    return list(int(x) for x in stdin.readline().strip().split(' '))


def stdin_get_string_from_line():
    return stdin.readline().strip()


if __name__ == '__main__':
    main()
