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

#########
........#
#########
#........
#########
........#
#########
#........
#########
a, b = [int(i) for i in input().split()]

c = []
side = True

for i in range(a):
    u = []
    for j in range(b):
        u.append(".")
    c.append(u)

for i in range(a):
    for j in range(b):
        if i % 2 == 0:
            c[i][j] = "#"
        elif i % 2 != 0:
            if side == True:
                c[i][-1] = "#"
                side = False
            elif side == False:
                c[i][0] = "#"
                side = True
            break

for i in range(a):
    print(* c[i], sep = "")
