Problem:
Score : 400 points

Problem Statement

Give a pair of integers (A, B) such that A^5-B^5 = X.
It is guaranteed that there exists such a pair for the given integer X.

Constraints

1 \leq X \leq 10^9

X is an integer.

There exists a pair of integers (A, B) satisfying the condition in Problem Statement.

Input

Input is given from Standard Input in the following format:

X

Output

Print A and B, with space in between.
If there are multiple pairs of integers (A, B) satisfying the condition, you may print any of them.

A B

Sample Input 1

33

Sample Output 1

2 -1

For A=2 and B=-1, A^5-B^5 = 33.

Sample Input 2

1

Sample Output 2

0 -1

Solution in Kotlin (1.3.71) (judge verdict: Wrong Answer)

fun main(args : Array<String>) {
    val x = readLine()!!.toInt()
    var a = Math.pow(x.toDouble(), 1/5.toDouble()).toInt()

    while (true) {
        val a5 = Math.pow(a.toDouble(), 5.0).toInt()
        val rest = x - a5

        val b5 = Math.pow(rest.toDouble(), 1/5.toDouble()).toInt()
        if (Math.pow(b5.toDouble(), 5.0).toInt() == rest) {
            println("$a $b5")
            return
        }

        a++
    }
}