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: Accepted)

import java.util.Scanner
import kotlin.system.exitProcess

fun main(args: Array<String>) {
	val scn = Scanner(System.`in`)
	val a = scn.nextLong()
	val b = scn.nextLong()
	val c = scn.nextLong()
	if (a+b>=c) no()
	val dC = c*c
	val dAB = (a+b)*(a+b)
	println(
			if (4*a*b+2*c*(a+b)<dC+dAB) "Yes" else "No"
	)
}

fun no(){
	println("No")
	exitProcess(0)
}