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.util.Scanner;

public class Main {
	public static void main(String[] args) {
		int n, m  ; 
		boolean c = true; 
		Scanner clavier = new Scanner(System.in); 
		m = clavier.nextInt(); 
		n = clavier.nextInt(); 
		if(m>=3) {
			for(int i =1; i<=m/2; i++) {
				for(int j=0; j<n; j++) {
					System.out.print("#");
				}
				System.out.print("\n");
				if(!c) {
					System.out.print("#");
					
				}
				for(int j=0; j<n-1; j++) {
					System.out.print(".");
				}
			
				if(c) {
					System.out.print("#\n");
					
				}else {
					System.out.print("\n");
				}
				c=!c; 
				
				
			}
			for(int j=0; j<n; j++) {
				System.out.print("#");
			}
			
		}
		
		
	}

}
