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

#########
........#
#########
#........
#########
........#
#########
#........
#########
kk=raw_input()
ar=kk.split(" ")
r=int(ar[0])
c=int(ar[1])
cnt =0
i=r/2
sr=""

while i>0:
    cnt+=1
    for j in range(c):
        #print "#",
        sr=sr+'#'
    #print "\n"
    sr=sr+'\n'
    for k in range(c):
        if cnt%2==0:
            if k==0:
                #print "#",
                sr=sr+'#'
            else:
                #print ".",
                sr=sr+'.'
        else:
            if k==c-1:
                #print "#",
                sr=sr+'#'

            else:
                #print ".",
                sr=sr+'.'

    #print "\n "
    sr=sr+'\n'
    i=i-1
if r%2!=0:
    for j in range(c):
        #print "#",
        sr=sr+'#'
print sr
