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.Arrays;
import java.util.Scanner;

public class Main {
    public static void main(String[] args) {
        Scanner input = new Scanner(System.in);
        int n = input.nextInt();
        int m = input.nextInt();
        input.close();
        String[] arr = new String[n];
        String snake = "";
        String dot = "";
        int flag = 0;
        for (int i = 0; i < m; i++) {
            snake += "#";
            dot += ".";
        }

        for (int i = 0; i < n; i++) {
            if ((i + 1) % 2 != 0) {
                arr[i] = snake;
                System.out.println(arr[i]);
            } else {
                if (flag == 0) {
                    arr[i] = dot.substring(0, m - 1) + "#";
                    flag = 1;
                    System.out.println(arr[i]);
                } else {
                    arr[i] = "#" + dot.substring(1);
                    System.out.println(arr[i]);
                    flag = 0;
                }
            }
        }

    }

}