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

#########
........#
#########
#........
#########
........#
#########
#........
#########
class solution:
    def answer(c,r):
        col = '.'
        row = '#'
        count = 0
        no = c - 1
        num = 0 
        lis = []
        for i in range(no):
            if no != 0:
                if num % 2 == 0 :
                    lis.append(r*row)
                    lis.append(((r-1)*col)+'#')
                    no -= 2
                    num += 1
                else:
                    lis.append(r*row)
                    lis.append('#'+((r-1)*col))
                    no -= 2
                    num += 1
        lis.append(r*row)
        return lis 

c,r = input().split()
ans = solution.answer(int(c),int(r))
for i in ans:
    print(i)