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;

/**
 * A_Fox_And_Snake
 */
public class A_Fox_And_Snake {

    public static void main(String[] args) {
        Scanner sc = new Scanner(System.in);
        int r = sc.nextInt();
        int c = sc.nextInt();
        char m[][] = new char[r][c];
        boolean t = false;
        for (int i = 0; i < r; i++) {
            if (i % 2 == 0) {
                for (int j = 0; j < c; j++) {
                    m[i][j] = '#';
                }
            } else {
                if (t == false) {
                    for (int j = 0; j < c; j++) {

                        if (j == c - 1) {
                            m[i][j] = '#';
                        } else
                            m[i][j] = '.';

                    }
                    t = true;
                } else {
                    for (int j = 0; j < c; j++) {
                        if (j == 0) {
                            m[i][j] = '#';
                        } else
                            m[i][j] = '.';

                    }
                    t = false;
                }
            }
        }
        for (int i = 0; i < r; i++) {
            for (int j = 0; j < c; j++) {
                System.out.print(m[i][j]);
            }
            System.out.println();
        }
    }
}