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

#########
........#
#########
#........
#########
........#
#########
#........
#########
# 8 5
#   10 9 8 7 7 7 5 5

##x = 0                                                 # NOT COMPETED PROBEM==NEXT ROUND                 #  1+2*3=7
##y=[]                                                  # NOT COMPETED PROBEM==NEXT ROUND                 #  1*(2+3)=5
##rks, pos = map(int, input().split())                  # NOT COMPETED PROBEM==NEXT ROUND                 #  1*2*3=6
##for _ in range(rks):                                  # NOT COMPETED PROBEM==NEXT ROUND                 #  (1+2)*3=9
##    a = int(input())                                  # NOT COMPETED PROBEM==NEXT ROUND
##    y.append(a)                                       # NOT COMPETED PROBEM==NEXT ROUND
##                                                      # NOT COMPETED PROBEM==NEXT ROUND
##while y[pos] >= y:
##    x += 1
##print(x)
#  floor      2.9==2

a, b = map(int, input().split())
for i in range(1, a + 1):
    if i % 2 == 1:
        print("#" * b)
    elif i % 4 == 2:
        print("." * (b - 1) + "#")
    else:
        print("#" + "." * (b - 1))
