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.*;

public class problem510a {
	
	

	public static void main(String[] args){
		Scanner sc =  new Scanner(System.in);
		int n = sc.nextInt();
		int m = sc.nextInt();
		boolean zerodone = false;
		boolean lastdone = true;
		for(int i = 1 ; i <= n ; i++){
			lastdone = true;
			for(int j = 1 ; j <= m ; j++){
				if(i % 2 == 0){
					if(j == m && lastdone){
						System.out.print("#");
						zerodone = true;
					}
					else if(j == 1 && zerodone){
						System.out.print("#");
						zerodone = false;
						lastdone = false;	
					}
					else{
						System.out.print(".");
					}
				}else{
					System.out.print("#");
				}


			}		
			System.out.println("");
		}
	}	
}