Sqrt Inequality

AtCoder

IDpanasonic2020_c

Time2000ms

Memory256MB

Difficulty—

Does $\sqrt{a} + \sqrt{b} < \sqrt{c}$ hold? ## Constraints * $1 \leq a, b, c \leq 10^9$ * All values in input are integers. ## Input Input is given from Standard Input in the following format: $a \ b \ c$ [samples]

Samples

Input #1

2 3 9

Output #1

No

$\sqrt{2} + \sqrt{3} < \sqrt{9}$ does not hold.

Input #2

2 3 10

Output #2

Yes

$\sqrt{2} + \sqrt{3} < \sqrt{10}$ holds.

API Response (JSON)

{
  "problem": {
    "name": "Sqrt Inequality",
    "description": {
      "content": "Does $\\sqrt{a} + \\sqrt{b} < \\sqrt{c}$ 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": "panasonic2020_c"
  },
  "statements": [
    {
      "statement_type": "Markdown",
      "content": "Does $\\sqrt{a} + \\sqrt{b} < \\sqrt{c}$ hold?\n\n## Constraints\n\n*   $1 \\leq a, b, c \\leq 10^9$\n*   All values in input are integers.\n\n## Input\n\nInput is given from Standard Input in the following format:...",
      "is_translate": false,
      "language": "English"
    }
  ]
}

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