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;

namespace PaizaTest
{
    class Program
    {
        static void Main(string[] args)
        {
            List<long> abc = Console.ReadLine().Split(' ').Select(long.Parse).ToList();

            //long aSquare = abc[0] * abc[0];
            //long bSquare = abc[1] * abc[1];
            //long cSquare = abc[2] * abc[2];

            var aSquare = Math.Sqrt(abc[0]);
            var bSquare = Math.Sqrt(abc[1]);
            var cSquare = Math.Sqrt(abc[2]);

            Console.WriteLine((aSquare + bSquare) < cSquare ? "Yes" : "No");
        }
    }
}