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

#########
........#
#########
#........
#########
........#
#########
#........
#########
#A. Fox And Snake
data = input().split()
BodyHt = int(data[0])
BodyLen = int(data[1])
Body = list()
RightBody = list()
LeftBody = list()

#Midbody
for x in range(BodyLen):
  Body.append("#")
separator = ""
BODY = separator.join(Body)

#RightBody
for x in range(BodyLen):
  RightBody.append(".")
RightBody[BodyLen-1] = "#"
separator = ""
RIGHTBODY = separator.join(RightBody)

#LeftBody
for x in range(BodyLen):
  LeftBody.append(".")
LeftBody[0] = "#"
separator = ""
LEFTBODY = separator.join(LeftBody)

#WholeBody
Left = 0
Right = 0
row = 0
while row < BodyHt:
  print (BODY)
  row += 1
  if row == BodyHt:
    break
  if Right == 0 or Right <= Left:
    print (RIGHTBODY)
    Right += 1
    row += 1
    continue
  if Left < Right:
    print(LEFTBODY)
    Left += 1
    row += 1
    continue
