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.*;

public class Solution {
    public static void main(String[] args) {

        Scanner sc = new Scanner(System.in);

        String[] st = sc.nextLine().split(" ");

        int n = Integer.parseInt(st[0]);
        int m = Integer.parseInt(st[1]);

        int flag = 0;
        for (int i = 0; i < n; i++) {
            if (i % 2 == 0) {
                for (int j = 0; j < m; j++) {
                    System.out.print("#");
                }
            }
            else {
                for (int j = 0; j < m; j++) {
                    if ((flag == 0) && (j == m - 1)) {
                        System.out.print("#");
                    }
                    else if ((flag == 1) && (j == 0)) {
                        System.out.print("#");
                    }
                    else {
                        System.out.print(".");
                    }
                }
                if (flag == 0) flag = 1;
                else           flag = 0;
            }
            System.out.println();
            
        }
        
        sc.close();
    }
}
