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 <bits/stdc++.h>
using namespace std;

#define int long long

int32_t main()
{
	ios::sync_with_stdio(false);
	cin.tie(nullptr);
	
	int x; cin >> x;
	for(int b = -200; b <= 200; b++) {
		int want = x + b*b*b*b*b;
		int have = pow(want, 0.2);
		if(have*have*have*have*have == x + b*b*b*b*b) {
			cout << have << ' ' << b << '\n';
			return 0;
		}
	}
				
	return 0;
}