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,m=map(int,input().split())
d=0
for i in range(n):
     if i%2==0:
          for j in range(m):
               print("#",end="")
          print()
     elif i%2!=0:
          if d==0:
               for j in range(0,m-1):
                    print(".",end="")
               for j in range(m-1,m):
                    print("#")
               d=1
          else:
               print("#",end="")
               for j in range(1,m):
                    print(".",end="")
               print()
               d=0
               
          
          
               