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.*;
import java.io.*;
public class Main {
	public static void main(String[] args) throws IOException{
Scanner sc = new Scanner(System.in);
OutputStreamWriter ow = new OutputStreamWriter(System.out);
BufferedWriter bw = new BufferedWriter(new OutputStreamWriter(System.out));
	
	int n, m, turn=1;
	n=sc.nextInt();
	m=sc.nextInt();
	char snake[][]=new char[n][m];
	for (int i = 0; i < n; i++) {
		for (int j = 0; j < m; j++) {
			if ((i+1) % 2 == 0) {
				snake[i][j] = '.';
			}
			else
				snake[i][j] = '#';
		}
	}
	for (int i = 1; i < n; i += 2) {
		if (turn == 1) {
			snake[i][m-1] = '#';
			turn = 0;
		}
		else {
			snake[i][0] = '#';
			turn = 1;
		}
	}
	for (int i = 0; i < n; i++) {
		for (int j = 0; j < m; j++) {
			System.out.print(snake[i][j]);
		}
		System.out.println();
	}
}
}