Square Inequality

AtCoder

IDabc199_a

Time2000ms

Memory256MB

Difficulty—

You are given integers $A$, $B$, and $C$. Determine whether $A^2 + B^2 < C^2$ holds. ## Constraints * $0 \le A \le 1000$ * $0 \le B \le 1000$ * $0 \le C \le 1000$ * $A$, $B$, and $C$ are integers. ## Input Input is given from Standard Input in the following format: $A$ $B$ $C$ [samples]

Samples

Input #1

2 2 4

Output #1

Yes

Since $A^2 + B^2 = 2^2 + 2^2 = 8$ and $C^2 = 4^2 = 16$, we have $A^2 + B^2 < C^2$, so we should print `Yes`.

Input #2

10 10 10

Output #2

No

Since $A^2 + B^2 = 200$ and $C^2 = 100$, $A^2 + B^2 < C^2$ does not hold.

Input #3

3 4 5

Output #3

No

API Response (JSON)

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      "statement_type": "Markdown",
      "content": "You are given integers $A$, $B$, and $C$.  \nDetermine whether $A^2 + B^2 < C^2$ holds.\n\n## Constraints\n\n*   $0 \\le A \\le 1000$\n*   $0 \\le B \\le 1000$\n*   $0 \\le C \\le 1000$\n*   $A$, $B$, and $C$ are i...",
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