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 Test{

	public static void main(String args[]){
Scanner input=new Scanner(System.in);
int row =input.nextInt();
int l =input.nextInt();
            for (int i = 1; i <= row; i++) {
                for (int j = 1; j <= l; j++) {
                    if (i%2==1) {
                        System.out.print("#");
                    }
                    else if(i%4==0){
                       if (j==1) {
                            System.out.print("#");
                        }else {
                        System.out.print(".");
                        }
                    }
                    else {
                        if (j==l) {
                            System.out.print("#");
                        }else {
                        System.out.print(".");
                        }
                    
                    
                    }
                }
                System.out.println(""); }
 
}}