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 get_numlist():
    list_in=list(input().split())
    list_out=[]
    for k in list_in:
        list_out+=[int(k)]
    return list_out


def head(a):
    str1='#'+'.'*(a-1)
    return str1


def tail(a):
    str1 =  '.' * (a - 1)+'#'
    return str1


def body(a):
    str1='#'*a
    return str1

def main():
    list0=get_numlist()
    check=True
    a=list0[1]
    for i in range(list0[0]):
        if i==0 or i%2==0:
            print(body(a))
        else:
            if check:
                print(tail(a))
                check=False
            else:
                print(head(a))
                check=True


if __name__ == '__main__':
    main()