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.Scanner;
import java.io.BufferedInputStream; 
import java.io.BufferedOutputStream; 
import java.io.File; 
import java.io.FileInputStream; 
import java.io.FileOutputStream; 
import java.io.InputStream; 
import java.io.OutputStream;   
import java.util.Arrays; 

public class problems {
    public static void main(String[] args) {
		Scanner in = new Scanner(System.in);
		int n = in.nextInt();
		int m = in.nextInt();

		for(int i = 1; i <= n; i++) {
			if(i % 2 == 1) {//if i is odd or not
				for(int j = 0; j < m; j++) {
					System.out.print("#");
				}
			}
			else if(i % 4 == 0) { //if i is divisible by 4 or not 
				System.out.print("#");
				for(int k = 0;k < m-1; k++) {
					System.out.print(".");
				}	
			}
			else {
				for(int k = 0;k < m-1; k++) {
					System.out.print(".");
				}
				System.out.print("#");
			}
			System.out.println();

		}
		// System.out.println((a/rr[3] - arr[0]) + " " + (arr[3] - arr[1]) + " " + (arr[3] - arr[2]));
    }
}
