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 <string>
#include <vector>
#include <map>
#include <set>
#include <utility>
#include <algorithm>
#include <cmath>
#include <climits>
#include <iomanip>
#include <queue>
#include <stack>

using namespace std;

typedef long long ll;

int main() {
    ll x;   cin >> x;
    for (ll a = 0; a*a*a*a*a <= x; a++) {
        ll k = a*a*a*a*a;
        for (ll b = 1; b*b*b*b*b <= x-k; b++) {
            if (b*b*b*b*b == x-k) {
                cout << a << " " << -b << endl;
                return 0;
            }
        }
    }
}