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.util.Scanner;

public class Main {

    public static void main(String[] args) {
        Scanner scan = new Scanner(System.in);
        int x = Integer.parseInt(scan.next());
        scan.close();

        int a = 0;
        int b = 0;

        for (long i = -1000; i <= 1000; i++) {
            for (long j = -1000; j <= 1000; j++) {
                long a5 = i * i * i * i * i;
                long b5 = j * j * j * j * j;
                if (a5 - b5 == x) {
                    a = (int)i;
                    b = (int)j;
                    break;
                }
            }
        }

        System.out.println(a + " " + b);
    }
}