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

class Scanner {
    private $arr = [];
    private $count = 0;
    private $pointer = 0;
    public function next() {
        if($this->pointer >= $this->count) {
            $str = trim(fgets(STDIN));
            $this->arr = explode(' ', $str);
            $this->count = count($this->arr);
            $this->pointer = 0;
        }
        $result = $this->arr[$this->pointer];
        $this->pointer++;
        return $result;
    }
    public function hasNext() {
        return $this->pointer < $this->count;
    }
    public function nextInt() {
        return (int)$this->next();
    }
    public function nextDouble() {
        return (double)$this->next();
    }
}

class out {
    public static function println($str = "") {
        echo $str . PHP_EOL;
    }
}

function c($x, $c)
{
    if ($x % $c == 0) {
        return true;
    } else {
        return false;
    }
}

function b($x, $c, $b)
{
    if (p5($b + $c) - p5($b) == $x) {
        return true;
    } else {
        return false;
    } 
}

function p5($i)
{
    return $i * $i * $i * $i * $i;
}

$sc = new Scanner;

$x = $sc->nextInt();


for ($c = -101; $c < 101; $c++) {
    if ($c == 0) {
        for ($b = -101; $b < 101; $b++) {
            if (b($x, $c, $b)) {
                $ans_c = 0;
                $ans_b = $b;
                break 2;
            } 
            
        }
        continue;
    }
    if (c($x, $c)) {
        for ($b = -101; $b < 101; $b++) {
            if ($b == 0) continue;
            if (b($x, $c, $b)) {
                $ans_c = $c;
                $ans_b = $b;
                break 2;
            } 
            
        }
        
    }
}

$ans_a = $ans_c + $ans_b;

$ans = $ans_a . " " . $ans_b;

out::println($ans);



?>