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 Java8 (OpenJDK 1.8.0) (judge verdict: Wrong Answer)

import java.util.*;

public class Main {
    public static void main(String[] args) throws Exception {
        // Your code here!
        Scanner sc = new Scanner(System.in);
        double a = sc.nextInt();
        double b = sc.nextInt();
        double c = sc.nextInt();
        
        double a2 = Math.sqrt(a);
        double b2 = Math.sqrt(b);
        double c2 = Math.sqrt(c);
        double d2 = c2 - (a2 + b2);
        
        double x3 = a2 * b2 * 2;
        
        if (a + b + x3 < c) {
            System.out.println("Yes");
        } else {
            System.out.println("No");
        }
    }
}