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;
import java.io.PrintWriter;
import java.util.HashSet;
import java.util.Arrays;

public class A510 implements Runnable {
	private Scanner in = new Scanner(System.in);
	private PrintWriter out = new PrintWriter(System.out);
	private int a;
	private int b;
	private String ans = "";
	
	public static void main(String[] args) {
		new Thread(new A510()).start();
	}

	private void read() {

		a = in.nextInt();
		b = in.nextInt();	
	}

	private void solve() {
		boolean bool = true;

		for(int i = 0; i < a; i++) {
			for(int j = 0; j < b; j++) {
				if(i % 2 == 0) {
					out.print("#");
				} else {
					if(bool){
						if(j == b-1) {
							out.print("#");
						} else {
							out.print(".");
						}
					} else {
						if(j == 0) {
							out.print("#");
						} else {
							out.print(".");
						}
					}
				}
			}
			if(i % 2 != 0 && bool){
				bool = false;
			} else if(i % 2 != 0){
				bool = true;
			}
			out.println();
		}
	}

	private void write() {

		//out.println(ans);

	}


	public void run() {
		read();
		solve();
		write();
		out.close();
	} 
}