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=int(input())
if n==1:
    print(1)
elif n==2:
    print(2)
elif n==3:
    print(6)
elif n==4:
    print(20)
elif n==5:
    print(70)
elif n==6:
    print(252)
elif n==7:
    print(924)
elif n==8:
    print(3432)
elif n==9:
    print(12870)
else:
    print(48620)
n = int(input())
a = [[1] * n for i in range(n)]
for i in range(1,n):
    for z in range(1,n):
        a[i][z]=a[i-1][z]+a[i][z-1]
print(a[-1][-1])'''
s=input().split()
n = int(s[0])
m=int(s[1])
a = [['#'] * m for i in range(n)]
for i in range(n):
    for z in range(m):
        if (i+1)%4==0:
            if z!=0:
                a[i][z]='.'
        elif (i+1)%4==2:
            if z!=m-1:
                a[i][z]='.'
for i in a:
    print(*i,sep='')

        

