Exponential or Quadratic

AtCoder

IDabc238_a

Time2000ms

Memory256MB

Difficulty—

Does $2^n \gt n^2$ hold? ## Constraints * $n$ is an integer between $1$ and $10^9$ (inclusive). ## Input Input is given from Standard Input in the following format: $n$ [samples]

Samples

Input #1

Output #1

Yes

Since $2^5=32,\ 5^2=25$, we have $2^n \gt n^2$, so `Yes` should be printed.

Input #2

Output #2

No

For $n=2$, we have $2^n=n^2=2^2$, so $2^n \gt n^2$ does not hold. Thus, `No` should be printed.

Input #3

623947744

Output #3

Yes

API Response (JSON)

{
  "problem": {
    "name": "Exponential or Quadratic",
    "description": {
      "content": "Does $2^n \\gt n^2$ hold?",
      "description_type": "Markdown"
    },
    "platform": "AtCoder",
    "limit": {
      "time_limit": 2000,
      "memory_limit": 262144
    },
    "difficulty": "None",
    "is_remote": true,
    "is_sync": true,
    "sync_url": null,
    "sign": "abc238_a"
  },
  "statements": [
    {
      "statement_type": "Markdown",
      "content": "Does $2^n \\gt n^2$ hold?\n\n## Constraints\n\n*   $n$ is an integer between $1$ and $10^9$ (inclusive).\n\n## Input\n\nInput is given from Standard Input in the following format:\n\n$n$\n\n[samples]...",
      "is_translate": false,
      "language": "English"
    }
  ]
}

Full JSON Raw Segments