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 <iomanip>
#include <cmath>
#include <string>
#include <vector>
#include <cstdlib>
#include <map>
#include <queue>
#include <deque>
#include <algorithm>
#include <stack>
#include <functional>
#include <sstream>
#define rep(i,j,n) for(i=j;i<(n);i++)
#define rrep(i,j,n) for(i=j;i>(n);i--)
typedef long long int lli;
#define N 1000000007
#define M 998244353

using namespace std;

int main(){
    lli x,a,b;
    lli i,j;
    cin>>x;
    rep(i,-1000,1000){
        if(floor(pow(pow((double)i,5.0)+(double)x,0.2))==pow(pow((double)i,5.0)+(double)x,0.2)){
            b=i;
            a=pow(pow((double)b,5.0)+(double)x,0.2);
            if(pow((double)a,5.0)-pow((double)b,5.0)==x){
                cout<<a<<" "<<b<<endl;
                break;
            }
        }
    }
}