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.io.PrintWriter;
import java.math.BigInteger;
import java.util.*;

/**
 * Created by Roland on 10/7/2015.
 */
public class NextRound {

    private Scanner scanner = new Scanner(System.in);
    private PrintWriter writer = new PrintWriter(System.out);
    private static int[] list;

    public void count(){

        int n = scanner.nextInt();
        int m = scanner.nextInt();

        for (int i = 1; i <= n; i++) {
            for (int j = 1; j <= m; j++) {
                if(i % 2 == 1){
                    System.out.print("#");
                } else if(i % 4 == 0 && j == 1){
                    System.out.print("#");
                } else if(i % 2 == 0 && j == m && i % 4 != 0){
                    System.out.print("#");
                } else {
                    System.out.print(".");
                }
            }
            System.out.println();
        }

    }



    public static void main(String[] args){

        NextRound ob = new NextRound();
      //  System.out.println(ob.count());
        ob.count();


    }
}
