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,math
from fractions import gcd
from bisect import bisect_left, bisect
from collections import defaultdict
from io import BytesIO
sys.stdin = BytesIO(sys.stdin.read())
input = lambda: sys.stdin.readline().rstrip('\r\n')
#n = int(input())
n,m = [int(_) for _ in input().split()]

row = '#' * m
rowr = '.' * (m-1) + '#'
rowl = '#' + '.' * (m-1)
res = []
i = 0
st = 0
while i < n:
    if st == 0:
        st = 1
        res.append(row)
    elif st == 1:
        st = 2
        res.append(rowr)
    elif st == 2:
        st = 3
        res.append(row)
    elif st == 3:
        st = 0
        res.append(rowl)
    i += 1
print('\n'.join(res))
        