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 P510A
{
	public static void main(String[] args)
	{
		Scanner scan = new Scanner(System.in);
		int n = scan.nextInt();
		int m = scan.nextInt();
		StringBuilder sb1 = new StringBuilder(m);
		StringBuilder sb2 = new StringBuilder(m);
		StringBuilder sb3 = new StringBuilder(m);
		for (int i = 0; i < m; i++)
			sb1.append('#');
		
		sb2.append('#');
		for (int i = 1; i < m; i++)
			sb2.append('.');
		
		for (int i = 0; i < m-1; i++)
			sb3.append('.');
		sb3.append('#');
		
		String all = sb1.toString(); 
		String left = sb2.toString(); 
		String right = sb3.toString(); 
		for (int i = 0; i < n; i++)
		{
			if (i % 2 == 0)
				System.out.println(all);
			else if (i % 4 == 1)
				System.out.println(right);
			else if (i % 4 == 3)
				System.out.println(left);
		}
		scan.close();
	}
}
