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: Accepted)

#include<iostream>
#include<iomanip>
#include<functional>
#include<algorithm>
#include<string>
#include<vector>
#include<utility>
#include<tuple>
#include<map>
#include<set>
#include<queue>
#include<cmath>

using namespace std;
#define LL long long

int X;
LL a,b;

int main() {
	cin>>X;
	for(a=-1000ll;a<1000ll;a++)for(b=-1000ll;b<1000ll;b++){
		LL A=a*a*a*a*a,B=b*b*b*b*b;
		if(A-B==X){
			cout<<a<<" "<<b<<endl;
			return 0;
		}
	}

	return 0;
}