Maximum Volume

AtCoder

IDabc159_c

Time2000ms

Memory256MB

Difficulty—

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: $L$ [samples]

Samples

Input #1

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.

Input #2

Output #2

36926037.000000000000

API Response (JSON)

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  "problem": {
    "name": "Maximum Volume",
    "description": {
      "content": "Given is a positive integer $L$. Find the maximum possible volume of a rectangular cuboid whose sum of the dimensions (not necessarily integers) is $L$.",
      "description_type": "Markdown"
    },
    "platform": "AtCoder",
    "limit": {
      "time_limit": 2000,
      "memory_limit": 262144
    },
    "difficulty": "None",
    "is_remote": true,
    "is_sync": true,
    "sync_url": null,
    "sign": "abc159_c"
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  "statements": [
    {
      "statement_type": "Markdown",
      "content": "Given is a positive integer $L$. Find the maximum possible volume of a rectangular cuboid whose sum of the dimensions (not necessarily integers) is $L$.\n\n## Constraints\n\n*   $1 ≤ L ≤ 1000$\n*   $L$ is ...",
      "is_translate": false,
      "language": "English"
    }
  ]
}

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