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,m = map(int, input().split())

arr = [['.' for j in range(m)] for i in range(n)]

i,c = 0,0

while i < n:
    
    if c % 2 == 0:
    
        for j in range(m):
            
            arr[i][j] = '#'
            
        if i+1 < n:
            
            arr[i+1][-1] = '#'
            
    else:
        
        for j in range(m-1,-1,-1):
            
            arr[i][j] = '#'
            
        if i+1 < n:
            
            arr[i+1][0] = '#'
        
    c += 1
    
    i += 2
    
for i in arr:
    
    for j in i:
        
        print(j,end="")
        
    print()
    
print()