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

#########
........#
#########
#........
#########
........#
#########
#........
#########

b=list(map(int,input().split()))
rows, cols = (b[0], b[1])
my_array = [[0 for i in range(cols)] for j in range(rows)] 
for i in range(b[0]):
    if i%2==0:
        for j in range(b[1]):
            my_array[i][j]="#"
    if i%2!=0:
        if (i-1)%4==0:
            for j in range(b[1]-1):
                my_array[i][j]="."
            my_array[i][b[1]-1]="#"
    if i%2!=0:
        if (i-1)%4!=0:
            for j in range(1,b[1]):
                my_array[i][j]="."
            my_array[i][0]="#"
            
    
for r in my_array:
    
    
    a=''.join(c for c in r)
    print(a,end = " ")
    print()