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.Linq;
using System.Collections.Generic;

namespace PANASONIC2020
{
    class C
    {
        static void Main(string[] args)
        {
            var x = Console.ReadLine().Split().Select(double.Parse).ToArray();
            var a = x[0];
            var b = x[1];
            var c = x[2];

            Console.WriteLine((decimal)Math.Sqrt(1000000000));

            if (a + b < c) Console.WriteLine("Yes");
            else Console.WriteLine("No");
        }
    }
}