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 FoxandSnake {

	public static void main(String args[]) throws Exception {
		// BufferedReader br=new BufferedReader(new InputStreamReader(System.in));
		Scanner sc = new Scanner(System.in);
		int n = sc.nextInt();
		int m = sc.nextInt();
		String s1 = "";
		String s2 = "";
		String s3 = "";
		String s4 = "";

		for (int i = 0; i < m; i++) {
			s1 += "#";
			s2 += ".";
		}
		s3 = s2.substring(0, s2.length()-1) + "#";
		s4 = "#" + s2.substring(1, s2.length());
		
	

		int j=1;
		for (int i = 0; i < n; i++) {
				if(i%2==0)
				{
					System.out.println(s1);
					continue;
				}
				j++;
				if(j%2==0)
					System.out.println(s3);
				
				if(j%2==1)
				{
					System.out.println(s4);
					
				}
				
		}

	}

}
