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

#########
........#
#########
#........
#########
........#
#########
#........
#########
import sys
numbers=[int(i) for i in sys.stdin.readline().split()]
n=numbers[0]
m=numbers[1]
i=0
k=0
while i<n:
          if i%2==0:
                    j=0
                    while j<m:
                              print('#', end='')
                              j+=1
          else:
                    if k%2==0:
                              j=0
                              while j<m-1:
                                        print('.', end='')
                                        j+=1
                              print('#', end='')
                    else:
                              print('#', end='')
                              j=0
                              while j<m-1:
                                        print('.', end='')
                                        j+=1
                    k+=1
          print()
          i+=1