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 NewMain {

    public static void main(String[] args) {

        Scanner scan = new Scanner(System.in);

        int n = scan.nextInt();
        int m = scan.nextInt();

        int f = 0;
        char sh = '#';
        char dot = '.';
        char x;
        for (int i = 0; i < n; i++) {
            if (i % 2 == 0 || f == 3) {
                x = sh;
            } else {
                x = dot;
            }
            for (int j =0 ; j<m ; j ++)
            {
                System.out.print(x);
                if (f==1&&j==m-2)
                    x=sh;
                if (f==3&&j==0)
                {
                    x=dot;
                    f=-1;
                }
            }
            f+=1;
            System.out.println("");

        }

    }
}
