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 Java7 (OpenJDK 1.7.0) (judge verdict: Wrong Answer)

import java.util.Scanner;
public class Main{
 public static void main(String[] args) {
  Scanner kbd = new Scanner(System.in);
   int a=kbd.nextInt();
   int b=kbd.nextInt();
   int c=kbd.nextInt();
   long a2 = (long)Math.sqrt(a);
   long b2 = (long)Math.sqrt(b);
   long c2 = (long)Math.sqrt(c);

   if(a2+b2<c2){
     System.out.println("Yes");
   }else{
     System.out.println("No");
   }
}
}