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 <bits/stdc++.h>
#define rep(i, n) for(int i = 0; i < (int)(n); i++)
//----------------------------------------------------------------------

using namespace std;
using ll = long long;
using P = pair<int,int>;
using Graph = vector<vector<int>>;

int main(void) {
    ll x;
    cin >> x;
    for(ll i = 0; i < 100000; ++i ) {
        ll now = x - (i * i * i * i * i);

        double ans = -pow(now, 0.25);
        if(ceil(ans) == floor(ans)) {
            cout << i << " " << (ll) ans << endl;
            return 0;
        }
    }
    return 0;
}