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 MyClass {
	
   public static void main(String[] args)   {
	
	 Scanner sc=new Scanner(System.in);
	 boolean bool=true;
     int n=sc.nextInt();
     int m=sc.nextInt();
     int helper=m;
	 for(int i=0;i<n;i++) {	
		if(i%2==0) {
			while(helper-->0) 
			   System.out.print("#");
	           
		          }
	    else {
		   if(bool==true) {
			 while(helper-->1) 
			 System.out.print(".");
			 
			 System.out.print("#");
			 bool=false;
		             }
		   else {
			   
			  System.out.print("#"); 
			    while(helper-->1) 
				System.out.print(".");
			    bool=true;
			    
		       }
		}
		 System.out.println();
			helper=m;   
   }
		
	  
}}
  
	   
 
   
 
