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=input().split()
n=int(b[0])
m=int(b[1])
s=''
i=0
c=0
z=True
f=True
while m>i:
  s=s+'#'
  i+=1
a=s[0]
b=s[-1]  
while n>0:
  print(s)
  i=0
  s=''
  if a=='#' and b=='#' and f:
    while m-1>i:
      s=s+'.'
      i+=1
      f=False
      z=True
    s=s+'#'
  elif a=='.' and b=='#':
    while m>i:
      s=s+'#'
      i+=1
  elif a=='#' and b=='#' and z:
    s=s+'#'
    while m-1>i:
      s=s+'.'
      i+=1
      f=True
      z=False
  elif a=='#' and b=='.':
    while i<m:
      s=s+'#'
      i+=1    
  a=s[0]
  b=s[-1]    
  n-=1    
    
