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 JavaApplication5 {

    public static void main(String[] args) {
        Scanner in = new Scanner(System.in);
        int n = in.nextInt();
        int m = in.nextInt();
        char rl = 'R';
        for (int i = 1; i < n+1; i++) {
            if (i%2!=0) {
                full(m);
            } else if (rl == 'R'){
                right(m);
                rl = 'L';
            }else if (rl == 'L'){
                left(m);
                rl = 'R';
            }
        }
    }

    public static void full(int m) {
        for (int i = 0; i < m; i++) {
            System.out.print("#");

        }
        System.out.println("");
    }

    public static void right(int m) {
        for (int i = 0; i < m - 1; i++) {
            System.out.print(".");

        }
        System.out.println("#");
    }

    public static void left(int m) {
        System.out.print("#");
        for (int i = 0; i < m - 1; i++) {
            System.out.print(".");

        }
        System.out.println("");
    }

}
