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 FocAndSnakes {

	public static void main(String[] args) {
		Scanner scan = new Scanner(System.in);
		int r = scan.nextInt();
		int c = scan.nextInt();
		int k = 0;
		for (int i = 0; i < r; i++) {

			if (i % 2 == 0) {
				for (int j = 0; j < c; j++) {
					System.out.print("#");
				}
				System.out.println();
			} else {
				if (k % 2 == 0) {
					for (int j = c - 1; j >= 0; j--) {
						if (j == 0)
							System.out.print("#");
						else
							System.out.print(".");
					}
					System.out.println();
				}else {
					for (int j = c - 1; j >= 0; j--) {
						if (j == c-1)
							System.out.print("#");
						else
							System.out.print(".");
					}
					System.out.println();
				}
				k++;
			}
		}

	}

}
