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.*;
import java.util.stream.*;
import java.util.*;
public class A510 {
	public static void main(String args[])throws IOException {
		BufferedReader br = new BufferedReader(new InputStreamReader(System.in));
		int[] nums = Stream.of(br.readLine().split(" ")).mapToInt(Integer::parseInt).toArray();
		boolean last = true;
		String[][] arr = new String[nums[0]][nums[1]];
		for(int i = 0; i < arr.length; i++) {
			for(int k = 0; k < arr[i].length;k++) {
				if(i % 2 == 0) {
					arr[i][k] = "#";
				} else {
					if(last) {
						Arrays.fill(arr[i],".");
						arr[i][arr[i].length - 1] = "#";
						last = false;
						break;
					} else {
						Arrays.fill(arr[i],".");
						arr[i][0] = "#";
						last = true;
						break;
					}
				}
			}
			for(String x : arr[i]) {
				System.out.print(x);
			}
			System.out.println();
		}
	}
}