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 Scala (2.11.7) (judge verdict: Wrong Answer)

import scala.math.sqrt
object Main extends App {
  val in = new java.util.Scanner(System.in)
  val A, B, C = in.nextInt
  println(if (sqrt(A) + sqrt(B) < sqrt(C)) "Yes" else "No")
}