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.math.BigDecimal

fun main(args: Array<String>){
    val bd1 = BigDecimal("123456789012345")
    val bd2 = BigDecimal("0.123456789012345")
    val bd3 = BigDecimal("0.123456789012344")
    val input: List<Double> = readLine()!!.split(" ").map { it.toDouble() }
    val b1=BigDecimal(input[0])
    val b2=BigDecimal(input[1])
    val b3=BigDecimal(input[2])
    if(b1+b2<b3){
        println("Yes")
    }
    else{
        println("No")
    }
}