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;

public class Main {
	
	public static void main(String[] args) {
		Scanner sc=new Scanner (System.in);
		int z=0;
		int x=sc.nextInt();
		int y=sc.nextInt();
		for(int i=0;i<x;i++){
			for(int j=0;j<y;j++){
				if(i%2==0){
					prnt("#");
				}
				else if(i%2==1 && j!=y-1 && z==0){
					prnt(".");
				}
				else if(i%2==1 && j==y-1 && z==0){
					prnt("#");
					z=1;
				}
				else if(i%2==1 && j==0 && z==1){
					prnt("#");
				}
				else if(i%2==1 && j!=0 && j!=y-1 && z==1){
					prnt(".");
				}
				else if(i%2==1 && j!=0 && j==y-1 && z==1){
					prnt(".");
					z=0;
				}
			}
			System.out.println();
		}
	}
	static void prnt(Object x){
		System.out.print(x);
	}
	static void prntln(Object x){
		System.out.println(x);
	}
}
