Weird Function

AtCoder

IDabc234_a

Time2000ms

Memory256MB

Difficulty—

Let us define a function $f$ as $f(x) = x^2 + 2x + 3$. Given an integer $t$, find $f(f(f(t)+t)+f(f(t)))$. Here, it is guaranteed that the answer is an integer not greater than $2 \times 10^9$. ## Constraints * $t$ is an integer between $0$ and $10$ (inclusive). ## Input Input is given from Standard Input in the following format: $t$ [samples]

Samples

Input #1

Output #1

1371

The answer is computed as follows.

*   $f(t) = t^2 + 2t + 3 = 0 \times 0 + 2 \times 0 + 3 = 3$
*   $f(t)+t = 3 + 0 = 3$
*   $f(f(t)+t) = f(3) = 3 \times 3 + 2 \times 3 + 3 = 18$
*   $f(f(t)) = f(3) = 18$
*   $f(f(f(t)+t)+f(f(t))) = f(18+18) = f(36) = 36 \times 36 + 2 \times 36 + 3 = 1371$

Input #2

Output #2

Input #3

Output #3

1111355571

API Response (JSON)

{
  "problem": {
    "name": "Weird Function",
    "description": {
      "content": "Let us define a function $f$ as $f(x) = x^2 + 2x + 3$.   Given an integer $t$, find $f(f(f(t)+t)+f(f(t)))$.   Here, it is guaranteed that the answer is an integer not greater than $2 \\times 10^9$.",
      "description_type": "Markdown"
    },
    "platform": "AtCoder",
    "limit": {
      "time_limit": 2000,
      "memory_limit": 262144
    },
    "difficulty": "None",
    "is_remote": true,
    "is_sync": true,
    "sync_url": null,
    "sign": "abc234_a"
  },
  "statements": [
    {
      "statement_type": "Markdown",
      "content": "Let us define a function $f$ as $f(x) = x^2 + 2x + 3$.  \nGiven an integer $t$, find $f(f(f(t)+t)+f(f(t)))$.  \nHere, it is guaranteed that the answer is an integer not greater than $2 \\times 10^9$.\n\n##...",
      "is_translate": false,
      "language": "English"
    }
  ]
}

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