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.*;
import java.util.Scanner;
import java.util.Arrays;
import java.util.Collections;
import java.lang.Math;
import java.util.ArrayList;
import java.math.*; 

public class fox{

	public static void main(String[] args){

		Scanner sc = new Scanner(System.in);

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

		int odd = (n / 2) + 1;
		int even = n / 2;

		ArrayList<String> oddrow  = new ArrayList<String>(m);
		ArrayList<String> evenrow1 = new ArrayList<String>(m);
		ArrayList<String> evenrow2 = new ArrayList<String>(m);

		for (int i = 0; i < m; i++){
			oddrow.add("#");
		}

		for (int i = 0; i < m - 1; i++){
			evenrow1.add(".");
		}

		evenrow1.add("#");
		evenrow2.add("#");

		for (int i = 0;i < m - 1;i++){
			evenrow2.add(".");
		}

		int count = 0;

		while (odd > 0 | even > 0){

			if (odd > 0){
				String listString = String.join("", oddrow);
				System.out.println(listString);
				odd -= 1;
			}

			if (even > 0){

				if (count % 2 == 0){
					String evenString = String.join("", evenrow1);
					System.out.println(evenString);
					count += 1;
					even -= 1;
				}

				else if (count % 2 == 1){
					String evenString2 = String.join("", evenrow2);
					System.out.println(evenString2);
					count += 1;
					even -= 1;
				}

			}



		}



	}


}