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.io.*;
import java.util.*;

public class Snake {
	public static void main(String args[]) throws Exception {
		Scanner in;
		try {
			in = new Scanner(new File("input.txt"));
		}
		catch (Exception e) {
			in = new Scanner(System.in);
		}
		int n = in.nextInt(), m = in.nextInt();
		String a = "", b = "", c = "#";
		for (int i = 0; i < m; i++) {
			a += "#";
		}
		for (int i = 0; i < m - 1; i++) {
			b += ".";
		}
		b += "#";
		for (int i = 1; i < m; i++) {
			c += ".";
		}
		for (int i = 0; i < n - 1; i+=2) {
			if (i % 4 == 0) {
				System.out.println(a);
				System.out.println(b);
			}
			else {
				System.out.println(a);
				System.out.println(c);
			}
		}
		System.out.println(a);


	}
}
