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

#########
........#
#########
#........
#########
........#
#########
#........
#########
#!/usr/bin/env python2
# -*- coding: utf-8 -*-
"""
Created on Thu Jan 18 18:52:29 2018

@author: alexis
"""

rows, col = raw_input().split()
rows = int(rows)
col = int(col)

drawing = []

for sq in range(rows):
    rw = ""
    for time in range(col):
        if sq % 2 == 0:
            rw += "#"
        else:
            rw += "."
            
    drawing.append(rw)
#print drawing


for row in range(1, len(drawing), 2):   
    #print row
    target = drawing[row]
    c = list(target)
    if (row+1) % 4 == 0:
        c[0] = "#"
    else:
        c[-1] = "#"
    c = ''.join(c)
    drawing[row] = c
    
    
#print drawing

for item in drawing:
    print item