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 PyPy3 (2.4.0) (judge verdict: Wrong Answer)

import sys

def main():
  input = sys.stdin.readline
  L = int(input())

  xyz  = 0

  for i in range(L*10):
    x = i/10
    for j in range(L*10-i):
      y = j/10
      z = L-x-y
      newxyz = x*y*z
      if xyz < newxyz:
        xyz=newxyz

  print ('{0:.6f}'.format(xyz))


if __name__ == '__main__':
  main()