10877: ABC159 - C - Maximum Volume
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Description
Given is a positive integer $L$. Find the maximum possible volume of a rectangular cuboid whose sum of the dimensions (not necessarily integers) is $L$.
Input
Input is given from Standard Input in the following format:
```
$L$
```
```
$L$
```
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 $10^{-6}$.
Constraints
- $1 ≤ L ≤ 1000$
- $L$ is an integer.
- $L$ is an integer.
Sample 1 Input
3
Sample 1 Output
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 2 Input
999
Sample 2 Output
36926037.000000000000