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 Go (1.6) (judge verdict: Accepted)

package main

import (
	"bufio"
	"fmt"
	"os"
	"strconv"
)

func main() {
	nextReader = newScanner()
	l := float64(nextInt())
	fmt.Printf("%f\n", l*l*l/27.0)
}

// ---------------------------------------------------------------
// I/O
// ---------------------------------------------------------------
var nextReader func() string

func newScanner() func() string {
	sc := bufio.NewScanner(os.Stdin)
	sc.Buffer(make([]byte, 1024), int(1e11))
	sc.Split(bufio.ScanWords)
	return func() string {
		sc.Scan()
		return sc.Text()
	}
}

func nextString() string { return nextReader() }

func nextInt() int { n, _ := strconv.Atoi(nextReader()); return n }

func nextInts(size int) []int {
	ns := make([]int, size)
	for i := 0; i < size; i++ {
		ns[i] = nextInt()
	}
	return ns
}