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 CPP):

Solution:
#include<stdio.h>
int main()
{
	double l,l1,l2;scanf("%lf",&l);
	l1=l/3,l2=(l-l1)/2;
	printf("%.12lf\n",l1*l2*(l-l1-l2));
}