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# (Mono 4.6.2.0) (judge verdict: Wrong Answer)

using System;
class Program {
  static void Main(string[] args) {
    string[] str = Console.ReadLine().Split(' ');//2つ以上のスペース区切り入力の取得
    double a = double.Parse(str[0]);
    double b = double.Parse(str[1]);
    double c = double.Parse(str[2]);
    double left_a = Math.Sqrt(a);
    double left_b = Math.Sqrt(b);
    double right = Math.Sqrt(c);
    Console.Write((left_a+left_b)<right?"Yes":"No");//改行なし出力
  }
 }