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 Kotlin (1.0.0) (judge verdict: Wrong Answer)

import java.lang.Math.sqrt
import java.util.*

fun main(args: Array<String>) {
    val sc = Scanner(System.`in`)

    val a = sc.nextLong()
    val b = sc.nextLong()
    val c = sc.nextLong()

    println(if(a + b + 2 * sqrt(a*b.toDouble()) < c) "Yes" else "No")
}