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 Snake2
{
	public static void main(String[] args)
	{

		Scanner input = new Scanner(System.in);

		int r = input.nextInt();
		int c = input.nextInt();

		String[][] snake = new String[r][c];
	

		int count = 1;

		for(int i = 0; i < snake.length; i++)
		{
			for(int j = 0 ; j < snake[i].length; j++)
			{
				if((i % 2) == 0)
				{
					snake[i][j] = "#";
				}
				else if((((i % 2)) == 1) && (count % 2 == 1))
				{
					snake[i][snake[i].length - 1] = "#";
					
				}
				else if((((i % 2)) == 1) && ((count % 2) == 0))
				{
					snake[i][0] = "#";

				}
				else
				{
					snake[i][j] = ".";
				}

			}

			if((i % 2) == 1)
				count++;

			
		}

		for(int i = 0; i < snake.length; i++)
		{
			for(int j = 0 ; j < snake[i].length; j++)
			{
				if(snake[i][j] == null)
				{
					snake[i][j] = ".";
				}
				
			}
		}
		
		for(int i = 0; i < snake.length; i++)
		{
			for(int j = 0 ; j < snake[i].length; j++)
			{
				System.out.print(snake[i][j]);

			}

			System.out.println();
		}

	}
}