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 create_table(n, m):
    return [["." for k in range(m)] for i in range(n)]

def display_table(table):
    for row in table:
        print("".join(row))

def create_snake(table):
    x = 0
    for i in range(len(table)):
        if (i + 1) % 2 != 0:
            table[i] = ["#" for k in range(len(table[i]))]
        else:
            x += 1
            if x % 2 != 0:
                table[i][-1] = "#"
            else:
                table[i][0] = "#"
    return table


def main():
    n, m = [int(i) for i in input().split()]
    table = create_table(n,m)
    snake_table = create_snake(table)
    display_table(snake_table)

main()


