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;
import static java.lang.System.out;

public class Main {

    static class snake {
        public int rows;
        public int columns;

        public snake(int rows, int columns) {
            this.rows = rows;
            this.columns = columns;
        }

        public void draw() {
            for (int i = 1; i <= rows; i++) {
                if (i % 4 == 2) {
                    for (int j = 1; j < columns; j++) {
                        out.print('.');
                    }
                    out.print('#');
                } else if (i % 4 == 0) {
                    out.print('#');
                    for (int j = 1; j < columns; j++) {
                        out.print('.');
                    }
                } else {
                    for (int j = 0; j < columns; j++) {
                        out.print('#');
                    }
                }

                out.println();
            }
        }
    }

    public static void main(String[] args) {
        Scanner in = new Scanner(System.in);
        int n, m;

        n = in.nextInt();
        m = in.nextInt();
        snake s = new snake(n, m);
        s.draw();
    }

}
 