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

#########
........#
#########
#........
#########
........#
#########
#........
#########
n = map(int , raw_input().split())
t = n[0]
r = n[1]
i = 1
while i <= t:
    if i % 2 == 1 and i <= t:
        j = 1
        str = "#"
        s = str
        while j < r :
            s = s + str
            j = j + 1
        print s    
        i = i + 1    
    if i%2 == 0 and i <= t:
        l = 1
        v = "."
        q = v
        m = "#"
        if i % 4 == 2:
            m = "#"
            v = "."
            q = v
            while l < r-1 :
                q = q + v
                l = l + 1
            q = q + m    
            print q
        l = 1
        if i % 4 == 0:
            m = "#"
            v = "."
            q = v
            while l < r :
                m = m + q
                l = l + 1
            print m
        i = i + 1
            
            
            
