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;

/**
 * Created by cs.ucu.edu.ua on 12/9/2016.
 */
public class Snacke {
    public static void main(String[] args) {
        Scanner sc = new Scanner(System.in);
        int n = sc.nextInt();
        int m = sc.nextInt();
        int row = 0;
        int j = 1;
        while (row != n) {
            if (row % 2 == 0) {
                System.out.println(new String(new char[m]).replace("\0", "#"));
                row++;
            }else{
                row++;
                if(j % 2 == 1){
                    System.out.println(new String(new char[m-1]).replace("\0", ".") + "#");
                    j++;
                }else{
                    System.out.println("#" + new String(new char[m-1]).replace("\0", "."));
                    j++;
                }
            }
        }
    }

}
