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 A_FoxAndSanke {
	public static void main(String[] args) {
		Scanner scan = new Scanner(System.in); 
		String l = scan.nextLine();
		String[] p = l.split(" ");
		int x = Integer.parseInt(p[0]);
		int y = Integer.parseInt(p[1]);
	    int flag = 0;
	    int done  = 0;
	    
	    for (int i = 0; i < x; i++) {

	    	done = 0 ;
	    	for (int j = 0; j < y ; j++) {
	    		if(i%2 == 0){
	    			System.out.print("#");
	    		}
	    		else {
	    			if(flag == 0 && done == 0 && j == y-1){
	    				System.out.print("#"); flag = 1 ; done = 1 ;
	    			}
	    			else if(flag == 1 && done == 0 && j == 0){
	    				System.out.print("#"); flag = 0 ; done = 1 ;  
	    			}
	    			else System.out.print(".");
	    		}
	    		
	    			
	    		}
	    	if(i != x-1)   	System.out.println("");
			}
			
	}
}
