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: Accepted)

<?php

fscanf(STDIN, "%d", $x);

for ($i = -1000; $i <= 1000; ++$i) {
    for ($j = -1000; $j <= 1000; ++$j) {
        if ($x == pow($i, 5) - pow($j, 5)) {
            break 2;
        }
    }
}

echo "$i $j";