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.BufferedReader;
import java.io.IOException;
import java.io.InputStreamReader;
import java.util.StringTokenizer;


public class FoxAndSnake {

	
	public static void main(String[] args) throws IOException {
		BufferedReader in = new BufferedReader(new InputStreamReader(System.in));
		
		StringTokenizer s = new StringTokenizer(in.readLine());
		
		int n = Integer.parseInt(s.nextToken());
		int m = Integer.parseInt(s.nextToken());
		
		StringBuilder top = new StringBuilder();
		StringBuilder right = new StringBuilder("#");
		StringBuilder left = new StringBuilder("#");
		
		for (int i = 0; i < m - 1; i++) {
			right.insert(0, '.');
			left.append(".");
		}
		
		right.append("\n");
		left.append("\n");
		
		for (int i = 0; i < m; i++) {
			top.append("#");
			right.append("#");
			left.append("#");
		}
		
		System.out.println(top);
		
		int l0r1 = 1;
		for (int i = 0; i < n - 1; i = i + 2) {
			if(l0r1 == 1){
				System.out.println(right);
				l0r1 = 0;
			}
			else{
				System.out.println(left);
				l0r1 = 1;
			}
		}
	}
}
