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 java.util.Scanner;

public class FoxAndSnake {
public static void main(String[] args) {
    Scanner cs=new Scanner(System.in);
    int r=cs.nextInt();
    int c=cs.nextInt();
    String hash="#";
    String dot="";
    for(int i=1;i<c;i++)
    {
        hash=hash+"#";
        dot=dot+".";
    }
    int j=0;
    for(int i=0;i<r;i++)
    {
        if(i%2==0)
        {
            System.out.println(hash);
        }
        else
        {
            if(j%2==0)
            {
                System.out.println(dot+"#");
            }
            else
            {
                System.out.println("#"+dot);
            }
            j++;
        }
    }
}
    
}
