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;

public class Snake {

	public static void main(String[] args) {
		Scanner input = new Scanner(System.in);
		int rows = 0;
		int colums = 0;
		int flag = 0;
		rows = input.nextInt();
		colums = input.nextInt();
		char[][] array = new char[rows][colums];
		for (int i = 0 ; i < rows ; i++) {
			for (int j = 0 ; j < colums ; j++) {
				if (i % 2 == 0) {
					array[i][j] = '#';
				} else {
					if ((flag == 0) && (j == colums - 1) && (array[i][0] != '#')) {
						array[i][j] = '#';
						flag = 1;
					} else if ((flag == 1) && (j == 0) && (array[i][2] != '#')) {
						array[i][j] = '#';
						flag = 0;
					} else {
						array[i][j] = '.';
					}
				}
			}
		}
		for (int m = 0 ; m < rows ; m++) {
			for (int n = 0 ; n < colums ; n++) {
				System.out.print(array[m][n]);
			}
			System.out.print("\n");
		}
	}

}
