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 all(x) (x).begin(),(x).end()
#define ll long long
#define rep(i,n) for(int i = 0; i < int(n); i++)
#define vi vector<int>
using namespace std;
const int INF = 1001001001;
const int MOD = 1e9+7;
const int dx[] = {-1, 0, 1, 0};
const int dy[] = {0, 1, 0, -1};
template<class T> inline bool chmax(T &a, const T &b){ if(a<b){ a=b; return 1; } return 0; }
template<class T> inline bool chmin(T &a, const T &b){ if(b<a){ a=b; return 1; } return 0; }

int main(){
  cin.tie(0), ios::sync_with_stdio(false);
  int x; cin >> x;
  for(int i = -150; i <= 150; i++){
    for(int j = -150; j <= 150; j++){
      if(i*i*i*i*i - j*j*j*j*j == x){
        cout << i << " " << j << endl;
        return 0;
      }
    }
  }
  cout << -1;
  cout << endl;
  return 0;
}