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 zephyr on 2/2/15.
 */
public class Snake {

    public static void main(String args[]) {
        Scanner cin = new Scanner(System.in);
        int n = cin.nextInt();
        int m = cin.nextInt();
        int[][] output = new int[n][m];
        int toggle = 1;
        for (int i = 0; i < n; i++) {
            if (i % 2 == 0){
                for (int j = 0; j < m; j++) {
                    output[i][j] = '#';
                }
            }else{
                if (toggle == 1){
                    output[i][m-1] = '#';
                    toggle = 0;
                }else{
                    output[i][0] = '#';
                    toggle = 1;
                }
            }

        }
        for (int i = 0; i < n; i++) {
            for (int j = 0; j < m; j++) {
                if (output[i][j] == '#')
                    System.out.print('#');
                else
                    System.out.print('.');
            }
            System.out.print("\n");
            
        }
        System.out.println();
    }

}