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 endl "\n"
#define what_is(x) cerr << #x <<" is " << x << endl;
typedef long long ll;
const int MOD = 998244353;
const double PI = 3.141592653589793;
const ll INF =  1e18 + 7;
const int nax = 200005;


ll power(ll a, ll b) {
	ll ans = 1;
	while (b) {
		if (b & 1) {
			ans = (ans * a);
		}
		a = (a * a);
		b = b >> 1;
	}
	return ans;
}


int main() {
	ios_base::sync_with_stdio(false);
	cin.tie(NULL);
	int tc = 1;
	// cin >> tc;
	while (tc--) {
		ll x;
		cin >> x;
		// cout<<power(1000,5)<<"ddfdf";
		for(ll i = -1000;i <= 1000; i++){
			for(ll j = -1000; j <= 1000; j++){
				ll p1 = power(i,5ll);
				ll p2 = power(j,5ll);
				if(p1 - p2 == x){
					cout<<i<<" "<<j;
					return 0;
				}
			}
		}
	}
	return 0;
}