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.*;
public class Solution {
	public static void main(String[] args) { 
		Scanner sc = new Scanner(System.in);
		int n = sc.nextInt();
		int m = sc.nextInt();
		char[][] arr = new char[n][m];
		for (int k = 0; k < arr.length; k++)
			for (int a = 0; a < arr[k].length; a++) 
				arr[k][a] = '#';
		
		for (int i = 1; i < arr.length; i += 2) 
			if ((i + 1) % 4 != 0)
				for (int j = 0; j < arr[i].length - 1; j++)
					arr[i][j] = '.';
			else
				for (int j = 1; j < arr[i].length; j++)
					arr[i][j] = '.';
		
		
		
		for (int k = 0; k < arr.length; k++) {
			for (int a = 0; a < arr[k].length; a++) 
				System.out.print(arr[k][a]);
			System.out.println();
		}
		
	}
}
