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: Time Limit Exceeded)

#include <bits/stdc++.h>
#define rep(i,n) for(int i = 0; i< (n); i++)
using namespace std;
using ll = long long;
typedef pair<int,int> P;

int main(void) {
    ll x; cin >> x;
    ll y;
    for(int a=-120; a<=x; a++) {
        for(int b=-120; b<=x; b++) {
            ll ans = pow(a,5) - pow(b,5);
            if(x == ans) {
                cout << a << " " << b << endl;
                return 0;
            }
        }
    }
}