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: Accepted)

import java.math.BigInteger;
import java.util.ArrayList;
import java.util.Arrays;
import java.util.Collections;
import java.util.Comparator;
import java.util.HashMap;
import java.util.HashSet;
import java.util.Iterator;
import java.util.List;
import java.util.Map.Entry;
import java.util.PriorityQueue;
import java.util.Scanner;

class Main {
    static final int MOD = 1000000007;
    static final int INF = 1 << 30;
    static final int ALF = 26;

    Main() {
        Scanner sc = new Scanner(System.in);
        long x = sc.nextLong();
        BigInteger X = BigInteger.valueOf(x);
        for(int a = -1000;a<=1000;a++){
            for(int b=-1000;b<=1000;b++){
                BigInteger A = BigInteger.valueOf(a);
                A = A.pow(5);
                BigInteger B = BigInteger.valueOf(b);
                B = B.pow(5);
                if(A.subtract(B).equals(X)){
                    System.out.println(a+" "+b);
                    return;
                }
            }
        }
        throw new Error();
    }

    public static void main(String[] args) {
        new Main();
    }
}