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 f(i,a,b) for( ll i = a; i < b ; i++ ) 
#define af(i,a,b) for( ll i = a; i >= b ; i--)
#define rep(i,a,b,k) for(ll i = a; i < b ; i+= k )
#define arep(i,a,b,k) for( ll i = a; i >= b ; i-= k)
#define ff first
#define ss second
#define pb push_back
#define mp make_pair
#define sz(a) (ll) a.size()
#define all(a) a.begin(), a.end()
#define sor(a) sort( a.begin(), a.end() )
#define fastio ios_base::sync_with_stdio(false);cin.tie(NULL)
#define inter ios::sync_with_stdio(false);cin.tie(nullptr);cout.tie(nuintptr)
using namespace std;
 
typedef long long ll;
typedef long double ld;
typedef pair<ll,ll> ii ;
typedef vector<ll>  vi ;
typedef vector<ii> vii ;
 
const int MAX= 4e5+6;
const ll inf =1e18;
 
 




int main(){
	fastio;
	ll k,n,m,x,a,b,u,v,ans=0;
	cin>>x;
	k=5000;
	f(i,-k,k+1){
		f(j,i,k+1){
			if((j*j*j*j*j-i*i*i*i*i)==x){
				cout<<j<<" "<<i<<endl;
				break;
			}
		}
	}
}