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;
using System.Collections.Generic;
using System.Linq;
using System.Text;
using System.Threading.Tasks;


   class Program
   {
       static void Main(string[] args)
       {
         string[] line = Console.ReadLine().Split(' ');
         ulong a = ulong.Parse(line[0]);
         ulong b = ulong.Parse(line[1]);
         ulong c = ulong.Parse(line[2]);
         if(Math.Sqrt(a) + Math.Sqrt(b) < Math.Sqrt(c)){
         Console.WriteLine("Yes");
         }else
         {
         Console.WriteLine("No");
         }
         
       }
   }