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 Fox_And_Snake {


	static Scanner sc = new Scanner(System.in);

	public static void main(String[] args) {
		int hight = sc.nextInt();
		int width = sc.nextInt();
		String output = "";
		boolean x = false;
		boolean y = false;
		while(hight > 0) {
			if(x == false) {
				int n = width;
				while(n > 0) {
					output = output + "#";
					n--;
				}
				x = true;
			} else {
				int k = width - 1;
				if(y == false) {
					while(k > 0) {
						output = output + ".";
						k--;
					}
					output =  output + "#";
					y = true;
				} else {
					output = output + "#";
					while(k > 0) {
						output = output + ".";
						k--;
					}
					y = false;
				}
				x = false;
			}
			output = output + "\n";
			hight--;
		}
		System.out.println(output);
	}
} 
