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: Accepted)

using System;
using System.Text;
using System.Collections.Generic;
using static System.Math;
using System.Linq;
using static System.Array;

namespace AtcoderExpress
{


    class Program
    {

        static void Main(string[] args)
        {
            //var W = long.Parse(Console.ReadLine());
            var ABC = Console.ReadLine().Split(' ').Select(x => long.Parse(x)).ToArray();
            long A = ABC[0];
            long B = ABC[1];
            long C = ABC[2];
            //Array.Sort(A);
            long D = C - (A + B);
            if (4*A*B < D*D && D > 0)
            {
                Console.WriteLine("Yes");
            }
            else
            {
                Console.WriteLine("No");
            }
            //Console.WriteLine(double.MinValue);
        }
    }
}