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

#########
........#
#########
#........
#########
........#
#########
#........
#########
//***************************************************************************************//
//**********************************By Mahmoud Hamarsheh*********************************//
//***************************************Mp0w3r_185****************************************//
//****************************************************************************************//
import java.util.Scanner;

public class Mpower185 {
  

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