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 Snake {

    public static void main(String[] args) {
        // TODO Auto-generated method stub
        Scanner input = new Scanner(System.in);
        int n=input.nextInt();
        int m=input.nextInt();
        boolean flag = true;
        for(int i=0 ; i<n ; i++)
        {
            for(int j=0 ; j<m ; j++)
            {
                if(i%4==1 &&(j==(m-1)))
                {
                  System.out.print('#');    
                }
                else if(i%4==3 && j==0)
                {
                    System.out.print('#');
                }
                else if((i%2!=0 && j!=0) || (i%2!=0 && j!=(m-1)))
                {
                    System.out.print('.');
                }
                else
                {
                    System.out.print('#');
                }
            }
            System.out.println();
        }

    }

}