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

#########
........#
#########
#........
#########
........#
#########
#........
#########
from __future__ import print_function

n,m = raw_input().split()
n = int(n)
m = int(m)
flag1 = False
flag2 = True
cntr = 0
for i in range(n):
    if(i%2 != 0):
        cntr = cntr+1
    for j in range(m):

        if(cntr%2 !=0 ):
            flag1 = False
            flag2 = True
        if(cntr%2 == 0 ):
            flag1 = True
            flag2 = False
        if(i%2 !=0 and j==0):
            if(flag1 == True):
                print ('#',end='')
            else:
                print('.',end='')
        if(i%2 !=0 and j == m-1):
            if(flag2 == True):
                print ('#',end='')
            else:
                print ('.', end='')
        if(i%2 !=0 and (j!=0 and j!=m-1)):
            print ('.', end='')
        
        if(i%2 == 0):
            #matrix[i][j] = '#'
            print ('#',end='')
    print ("\n",end='')

#for i in range(n):
    #for j in range(n):
        #print matrix[i][j]