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;
class c
{
    static void Main()
    {
        var x = Array.ConvertAll(Console.ReadLine().Split(), decimal.Parse);
        Console.WriteLine(sqrt(x[0]) + sqrt(x[1]) < sqrt(x[2]) ? "Yes" : "No");
    }
    public static decimal sqrt(decimal a)
    {
        decimal b = a;
        for (int i = 0; i < 10000; i++)
        {
            b = (b * b + a) / (2 * b);
        }
        return b;
    }
}