Problem:
Score : 300 points

Problem Statement

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

Output

If \sqrt{a} + \sqrt{b} < \sqrt{c}, print Yes; otherwise, print No.

Sample Input 1

2 3 9

Sample Output 1

No

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

Sample Input 2

2 3 10

Sample Output 2

Yes

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

Solution in C# (.NET Core 3.1.201) (judge verdict: Accepted)

using System;

class C
{
	static void Main()
	{
		var h = Array.ConvertAll(Console.ReadLine().Split(), long.Parse);
		long a = h[0], b = h[1], c = h[2], d = c - a - b;
		Console.WriteLine(d > 0 && 4 * a * b < d * d ? "Yes" : "No");
	}
}