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.ArrayList;
import java.util.Scanner;

/**
 * Created by InfoLight on 1/15/2016.
 */
public class Main {
    public static boolean swap(boolean temp){
        return !temp;
    }

    public static void main(String[] args){
        Scanner in = new Scanner(System.in);
        char[][] matrix = new char[50][50];

        int strok = in.nextInt();
        int stolbzov = in.nextInt();

        for (int i = 0; i < strok; i += 2){
            for (int j = 0; j < stolbzov; j++) matrix[i][j] = '#';
        }

        boolean leftOrRight = true; // true - right, false - left

        for (int i = 1; i < strok; i += 2){
            if (leftOrRight){
                matrix[i][stolbzov - 1] = '#';
                leftOrRight = swap(leftOrRight);
            } else{
                matrix[i][0] = '#';
                leftOrRight = swap(leftOrRight);
            }
        }

        for (int i = 0; i < strok; i++){
            for (int j = 0; j < stolbzov; j++){
                if (matrix[i][j] != '#') System.out.print('.');
                else System.out.print(matrix[i][j]);
            }
            System.out.println();
        }
    }
}
