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 JavaApplication12 {
    
    public static void main(String[] args) {
        
        Scanner input = new Scanner(System.in);
        
        int n = input.nextInt();
        int m = input.nextInt();
        
        //true = began
        //false = end
        boolean start = false;
        String hashes = "###";
        String dots = "..";
        
        for(int i = 3; i < m; i++)
        {
            hashes += "#";
            dots += ".";
        }
        
        for(int i = 0; i < n; i++)
        {
            if(i%2 == 0)
            {
                System.out.println(hashes);
            }
            else
            {
                if(start)
                {
                    System.out.print("#");
                    System.out.println(dots);
                }
                else
                {
                    System.out.print(dots);
                    System.out.println("#");
                }
                start = !(start);
            }
        }
    }
}