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 C++ (GCC 9.2.1) (judge verdict: Wrong Answer)

#include <iostream>
#include <vector>
#include <string>
#include <algorithm>
#include <unordered_set>
#include <map>
#include <unordered_map>
#include <cstdlib>
#include <set>
#include <utility>
#include <climits>
#include <cstdio>
#include <cmath>
#include <queue>
#include <stack>
#include <iomanip>

#define ll long long
#define ull unsigned long long
using namespace std;

int main()
{
	ios_base::sync_with_stdio(0);
	cin.tie(0);
	
	int x;
	cin >> x;
	for (int i = 1; i < 1000; ++i) {
		ll t = 1LL * i * i * i * i * i;
		if (t == x) {
			cout << i << ' ' << 0;
			return 0;
		} else if (t - 1 == x) {
			cout << i << ' ' << 1;
			return 0;
		} else if (t + 1 == x) {
			cout << i << ' ' << -1;
			return 0;
		}
	}
}