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.*;

public class Smile {
	public static void main(String[] args) {
		Scanner in = new Scanner(System.in);
		PrintWriter out = new PrintWriter(System.out);	
		int n = in.nextInt();
		int m = in.nextInt();
		for (int i = 0; i < n; i++) {
			for (int j = 0; j < m; j++) {
				if (i % 2 == 0) {
					out.print("#");
				} else if (i % 4 == 1 && j < m - 1) {
					out.print(".");
				} else if (i % 4 == 1 && j == m - 1) {
					out.print("#");
				} else if (i % 4 == 3 && j > 0) {
					out.print(".");
				} else if (i % 4 == 3 && j == 0) {
					out.print("#");
				}
			}
			out.println();
		}
 
		out.close();
	}		
}