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.*;
public class A {

	public static void main(String[] args) {
		Scanner sc = new Scanner(System.in);
		int n = sc.nextInt(), m = sc.nextInt();
		int c=0;
		
		for(int i=0; i<n; i++)
		{
			for(int j=0; j<m; j++)
			{
				if(i%2 == 0)
				{
					System.out.print("#");
				}
				else
				{
					if(c == 0)
					{
						System.out.print(j != m-1 ? "." : "#");
						if(j == m-1)
							c=1;
					}
					else
					{
						System.out.print(j != 0 ? "." : "#");
						if(j == m-1)
							c=0;
					
					}
				}
			}
			System.out.println();
		}

	}

}
