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.lang.*;

// https://codeforces.com/contest/742/problem/A
public class A510 {

	static Scanner sc;
	public static void solve() {
		
	}
	
	public static void main(String[] args) {
		sc = new Scanner(System.in);
		int r = sc.nextInt();
		int c = sc.nextInt();
		boolean fromLeft = false;
		for(int i = 0; i < r; i++) {
			StringBuffer sb = new StringBuffer();
			int skip = 0;
			for(int j = 0; j < c; j++) {				
				if(i % 2 == 0) {
					sb.append("#");
				} else {
					if(skip == 0 && (!fromLeft && j == c-1) || (fromLeft && j == 0)) {
						sb.append("#");
						fromLeft = !fromLeft;
						skip = 1;
						continue;
					}
					sb.append(".");
				}
			}
			System.out.println(sb.toString());
		}
		
		sc.close();
	}

}
