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

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

l=list(map(int,input().split()))
arr=[]
for i in range(l[0]):
    arr.append('#'*l[1])

j=1
x=0
while(j<len(arr)):
    if(x==1):
        m=''
        m+='.'*(len(arr[j])-1)
        m+='#'
        m=m[::-1]
        arr[j]=m
        j+=2
        x=0

    else:
        s=""
        s+='.'*(len(arr[j])-1)
        s+='#'
        arr[j]=s
        j+=2
        x=1

for element in arr:
    print(element)
