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

#########
........#
#########
#........
#########
........#
#########
#........
#########
s=input().strip()
def second(s):
    r=list(map(int,s.split(" ")))
    if r[1]<3 or r[0]<3 or r[1]>50 or r[0]>50:
        print("Incorrect input")
    for i in range(r[0]):
        if i%2==0:
            print(tag1(r[1]))
        if i%4==1:
            print(tag2(r[1]))
        if i%4==3:
            print(tag3(r[1]))



def tag1(s):
    d=""
    for i in range(s):
        d=d+"#"
    return d
def tag2(s):
    d=""
    for i in range(s-1):
        d=d +"."
    d=d+"#"
    return d

def tag3(s):
    d = "#"
    for i in range(s - 1):
        d = d + "."
    return d

second(s)