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.PrintWriter;
import java.util.Scanner;


public class Solution {
	
	Scanner cin = new Scanner(System.in);
	PrintWriter cout = new PrintWriter(System.out);
	
	int n, m;
	char[][] f;
	
	private void run() {
		
		int n = cin.nextInt();
		int m = cin.nextInt();
		f = new char[n][m];
		
		for (int i = 0; i < n; ++i) {
			for (int j = 0; j < m; ++j) {
				f[i][j] = '.';
			}
		}
		
		for (int i = 0; i < n; i += 2) {
			for (int j = 0; j < m; ++j) {
				f[i][j] = '#';
			}
		}
		
		for (int i = 1; i < n; i += 2) {
			if (i % 4 == 1) {
				f[i][m - 1] = '#';
			} else {
				f[i][0] = '#';
			}
		}
		
		for (int i = 0; i < n; ++i) {
			for (int j = 0; j < m; ++j) {
				cout.print(f[i][j]);
			}
			cout.println();
		}
		
		cin.close();
		cout.close();
	}
	
	public static void main(String[] args) {
		Solution solution = new Solution();
		solution.run();
	}
}
