Problem: Given is a positive integer L. Find the maximum possible volume of a rectangular cuboid whose sum of the dimensions (not necessarily integers) is L.

Constraints

* 1 ≤ L ≤ 1000
* L is an integer.

Input

Input is given from Standard Input in the following format:


L


Output

Print the maximum possible volume of a rectangular cuboid whose sum of the dimensions (not necessarily integers) is L. Your output is considered correct if its absolute or relative error from our answer is at most 10^{-6}.

Examples

Input

3


Output

1.000000000000


Input

999


Output

36926037.000000000000

Solution (in JAVA):

Solution:
import java.util.*;
import java.lang.*;
public class Main{
	public static void main(String [] args){
		Scanner in = new Scanner(System.in);
		double l = in.nextInt();
		double a  = l/3;
		l = l-a;
		double b = l/2;
		double c = (l-b);
		System.out.print(a*b*c);
	}
}