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 os.path
import math
import heapq
from sys import stdin,stdout
from collections import*
from math import gcd,ceil,floor
mod = int(1e9+7)
##sys.setrecursionlimit(10**8)
##input=sys.stdin.readline

if os.path.exists('Updated prg/Input3d.txt'):
    sys.stdout=open("Updated prg/Output3d.txt","w")
    sys.stdin=open("Updated prg/Input3d.txt","r")
 
def sinp():return input()
def ninp():return int(sinp())
def mapinp():return map(int,sinp().split())
def linp():return list(mapinp())
def sl():return list(sinp())
def prnt(a):print(a)
def prntl(a):print(a,end=" ")
def prntlist(l1) : print(*l1)
def power(n): return 1<<n

##Easy
n,m=mapinp()
s1=""
for i in range(n):
    if i%2==0:
        s1="#"*m
        prnt(s1)
    elif i%4==1:
        s1="."*(m-1)
        s1=s1+"#"
        prnt(s1)
    else:
        s1="#"
        s1=s1+"."*(m-1)
        prnt(s1)
