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 solve(n, m):
    ans = [["." for _ in range(m)] for _ in range(n)]
    x = 0
    y = 0
    d = 1 # 1 right, 0 left
    while x < n:
        if d:
            while y < m:
                ans[x][y] = "#"
                y += 1
            y -= 1
            x += 1
            if x >= n:
                break
            ans[x][y] = "#"
            x += 1
            d = 0
        else:
            while y >= 0:
                ans[x][y] = "#"
                y -= 1
            y += 1
            x += 1
            if x >= n:
                break
            ans[x][y] = "#"
            x += 1
            d = 1
    return "\n".join(["".join(r) for r in ans])



def main():
    n, m = list(map(int, input().split()))
    print(solve(n, m))

if __name__ == '__main__':
    main()