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)

object Main extends App {
	val Array(a, b, c) = scala.io.StdIn.readLine.split(" ").map(_.toLong)
	val tp1 = scala.math.sqrt(a) + scala.math.sqrt(b)
	val tp2 = scala.math.sqrt(c)

	if(tp1 < tp2 ) println("Yes")
	else println("No")
}