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;
 
namespace Sample
{
  class Sample
  {
    static void Main()
    {
      var line = System.Console.ReadLine(); 
      string[] arr =  line.Split(' ');
      long a = long.Parse(arr[0]);
      long b = long.Parse(arr[1]);
      long c = long.Parse(arr[2]);
      
      double ra = Math.Sqrt(a);
      double rb = Math.Sqrt(b);
      double rc = Math.Sqrt(c);
      
      if(ra + rb < rc){
      	Console.WriteLine("YES");
      }else{
        Console.WriteLine("NO");
      }
    }
  }
}