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
import math as m
def main():
    pass
def binary(n):
    return (bin(n).replace("0b", ""))
def decimal(s):
    return (int(s, 2))
def pow2(n):
    p = 0
    while n > 1:
        n //= 2
        p += 1
    return (p)
def isPrime(n):
    if (n == 1):
        return (False)
    else:
        root = int(n ** 0.5)
        root += 1
        for i in range(2, root):
            if (n % i == 0):
                return (False)
        return (True)
def sinp(): return sys.stdin.readline().strip()
def iinp(): return int(input())
def ninp(): return map(int, sys.stdin.readline().strip().split())
def linp(): return list(map(int, sys.stdin.readline().strip().split()))
def p(a): print(a)
#for _ in range(iinp()):
n,m=ninp()
f=0
while(True):
    if(n==0):
        break
    elif(n%2==1):
        for i in range(m):
            print("#",end="")
        print()
        n=n-1
    elif(n%2==0 and f==0):
        for i in range(m-1):
            print(".",end="")
        print("#")
        n=n-1
        f=1
    elif(n%2==0 and f==1):
        print("#",end="")
        for i in range(m-1):
            print(".",end="")
        print()
        n = n - 1
        f = 0










