2-variable Function

AtCoder

IDabc246_d

Time2000ms

Memory256MB

Difficulty—

Given an integer $N$, find the smallest integer $X$ that satisfies all of the conditions below. * $X$ is greater than or equal to $N$. * There is a pair of non-negative integers $(a, b)$ such that $X=a^3+a^2b+ab^2+b^3$. ## Constraints * $N$ is an integer. * $0 \le N \le 10^{18}$ ## Input Input is given from Standard Input in the following format: $N$ [samples]

Samples

Input #1

Output #1

15

For any integer $X$ such that $9 \le X \le 14$, there is no $(a, b)$ that satisfies the condition in the statement.  
For $X=15$, $(a,b)=(2,1)$ satisfies the condition.

Input #2

Output #2

0

$N$ itself may satisfy the condition.

Input #3

999999999989449206

Output #3

1000000000000000000

Input and output may not fit into a $32$\-bit integer type.

API Response (JSON)

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    "name": "2-variable Function",
    "description": {
      "content": "Given an integer $N$, find the smallest integer $X$ that satisfies all of the conditions below. *   $X$ is greater than or equal to $N$. *   There is a pair of non-negative integers $(a, b)$ such tha",
      "description_type": "Markdown"
    },
    "platform": "AtCoder",
    "limit": {
      "time_limit": 2000,
      "memory_limit": 262144
    },
    "difficulty": "None",
    "is_remote": true,
    "is_sync": true,
    "sync_url": null,
    "sign": "abc246_d"
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  "statements": [
    {
      "statement_type": "Markdown",
      "content": "Given an integer $N$, find the smallest integer $X$ that satisfies all of the conditions below.\n\n*   $X$ is greater than or equal to $N$.\n*   There is a pair of non-negative integers $(a, b)$ such tha...",
      "is_translate": false,
      "language": "English"
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