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 Java (OpenJDK 11.0.6) (judge verdict: Runtime Error)

package D;

import java.io.*;
import java.util.*;
import static java.lang.Math.*;

public class Main {
    long X;
    static long MX = 1000000007;
    List<Long> ps, ns;

    void solve(){
        ps = new ArrayList<>(); ns = new ArrayList<>();
        ps.add(0L); ns.add(0L);
        for(long a=1; pow(a, 5) < MX; a++){
            ps.add((long)pow(a, 5));
        }
        for(long a=-1; pow(a, 5)*-1 < MX; a--){
            ns.add((long)pow(a, 5));
        }
        for(int i=0; i<ps.size(); i++){
            for(int j=i+1; j<ps.size(); j++){
                long ai = ps.get(i), aj = ps.get(j);
                if(ai - aj == X){
                    System.out.println(ai + " " + aj);
                    return;
                }
            }
        }

        for(int i=0; i<ps.size(); i++){
            for(int j=0; j<ns.size(); j++){
                long ai = ps.get(i), aj = ns.get(j);
                if(ai - aj == X){
                    System.out.println(ai + " " + aj);
                    return;
                }
            }
        }
    }

    public Main() throws Exception {
        //System.setIn(new FileInputStream("d.in"));
        Scanner sc = new Scanner(new BufferedReader(new InputStreamReader(System.in)));
        X = sc.nextLong();
        solve();
    }

    static public void main(String[] args) throws Exception {
        Main m = new Main();
    }
}