Problem:
Score : 300 points

Problem Statement

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}.

Sample Input 1

3

Sample Output 1

1.000000000000

For example, a rectangular cuboid whose dimensions are 0.8, 1, and 1.2 has a volume of 0.96.

On the other hand, if the dimensions are 1, 1, and 1, the volume of the rectangular cuboid is 1, which is greater.

Sample Input 2

999

Sample Output 2

36926037.000000000000

Solution in C++14 (GCC 5.4.1) (judge verdict: Accepted)

#include <bits/stdc++.h>
#define rep3(i, s, n, a) for (int i = (s); i < (int)(n); i += a)
#define rep2(i, s, n) rep3(i, s, n, 1)
#define rep(i, n) rep2(i, 0, n)

using namespace std;
using ll = long long;
using ull = unsigned long long;
using P = pair<int, int>;

int main(){
    int l;
    cin >> l;
    double x = (double)l / 3.0;
    cout << fixed << setprecision(10);
    cout << x * x * x <<endl;
    return 0;
}