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 problem {

	
	public static void main(String[] args) {
		Scanner myscanner=new Scanner(System.in);
		int n=myscanner.nextInt();
		int m=myscanner.nextInt();
		for(int i=1;i<=n;i=i+1){
			if(i%4==0)
				recursive(m);
			else if(i%2==0)
				function(m);
			else
				display(m);
		}
	    
		}

		private static void recursive(int m) {
		     System.out.print("#");
		     for(int i=1;i<m;i++)
			 System.out.print(".");
		     System.out.println();
			
		}

		private static void display(int m) {
			for(int i=0;i<m;i++)
				System.out.print("#");
			    System.out.println();
		}

		private static void function(int m) {
			for(int i=0;i<m-1;i++)
				System.out.print(".");
			    System.out.println("#");
			
	}

}
