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

#########
........#
#########
#........
#########
........#
#########
#........
#########
/* package codechef; // don't place package name! */

import java.util.*;
import java.util.regex.*;
import java.lang.*;
import java.io.*;

/* Name of the class has to be "Main" only if the class is public. */
public class Codechef
{
   
	public static void main (String[] args) throws java.lang.Exception
	{
	    Scanner sc= new Scanner(System.in);
	    int n=sc.nextInt(),m= sc.nextInt();
	    for(int i=0;i<n;i++){
	       if(i%2==0){
	           for(int j=0;j<m;j++){
	               System.out.print("#");
	               
	           }
	           System.out.println();

	       }
	       else if((i-1)%4==0){
	           for(int j=0;j<m-1;j++){
	               System.out.print(".");
	               
	           }
	           System.out.println("#");
	       }
	       else{
	           System.out.print("#");
	           for(int j=0;j<m-1;j++){
	               
	               System.out.print(".");
	           }
	           System.out.println();
	       }
	       
	    }
	    
	    //System.out.println(n-1);
	    
	   
	    }
	    	// your code goes here
	}

