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 os.path
#import random

#_modulo =10**9 + 7

    
def main():
    import sys
    #from sets import Set
    #import math
    import copy
    #from Queue import PriorityQueue
    #from operator import itemgetter
    #from decimal import Decimal, Context
    #from pprint import pprint

    #ctx = Context(prec=10)
    #q = PriorityQueue()
    
    #_max = 2*(10**5)
    
    
    data = sys.stdin.readline().strip().split()
    
    
    N = long(data[0])
    M = long(data[1])
    
    _full = '#'*M
    _empty = '.'*(M-1)
    
    for j in xrange(N):
        if j%2 == 0:
            print _full
        elif ((j-1)/2)%2 == 0:
            print _empty+'#'
        else:
            print '#'+_empty
    
    
    
    
    
if __name__ == "__main__":

    #import time
    #the_start_time = time.time()
    
    main()
    
    #print time.time() - the_start_time
    
    