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 CF510A
{
	public static void main(String[] args) 
	{
		Scanner in = new Scanner(System.in);
		int n = in.nextInt(), m = in.nextInt();
		char[] arr = new char[m];
		for (int r = 0; r < n; ++r)
		{
			for (int c = 0; c < m; ++c)
			{
				if (r % 2 == 0) arr[c] = '#';
				else if (r%4 == 1 && c == m-1) arr[c] = '#';
				else if (r%4 == 3 && c == 0) arr[c] = '#';
				else arr[c] = '.';
			}
			System.out.println(new String(arr));
		}
	}
}

	   		 	 			  	   		 		 		 			