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 TaskA(object):
    def __init__(self):
        self.get_data()
        self.solve()
        self.print_ans()
    pass

    def get_data(self):
        self.n, self.m = map(int, input().split())
        pass

    def solve(self):
        self.ans = list()
        for i in range(self.n):
            ch = '#'
            if i & 1:
                ch = '.'
            for j in range(self.m):
                self.ans.append(ch)

        for i in range(1, self.n, 4):
            index = i * self.m + (self.m - 1)
            self.ans[index] = '#'

        for i in range(3, self.n, 4):
            index = i * self.m + 0
            self.ans[index] = '#'
        pass

    def print_ans(self):
        for i in range(self.n):
            for j in range(self.m):
                index = i * self.m + j
                print(self.ans[index], end='')
            print()
        pass


def main():
    TaskA()
    pass


if __name__ == '__main__':
    main()