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 PHP (7.4.4) (judge verdict: Wrong Answer)

<?php
$X = (int)fgets(STDIN);
for ($b = -100; $b < 100; $b++) {
    $pow_b = -pow($b, 5);
    if ($pow_b === $X) {
        echo 0 . ' ' . $b;
        exit;
    }
    if ($pow_b > $X) {
        continue;
    }
    for ($a = 0; $a < 100; $a++) {
        $pow_a = pow($a, 5);
        $sum = $pow_a + $pow_b;
        if ($sum === $X) {
            echo $a . ' ' . $b;
            exit;
        }
        if ($sum > $X) {
            break;
        }
    }
}