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: Wrong Answer)

import java.util.Scanner;

public class Main {
	public static void main(String[] args) {
		Scanner sc = new Scanner(System.in);
		long x = sc.nextLong();
		for (long a = 0; a <= 100; a++) {
			long a5 = a * a * a * a * a;
			for (long b = 0; b <= 100; b++) {
				long b5 = b * b * b * b * b;
				if (a5 - b5 == x) {
					System.out.println(a + " "+ b);
					return;
				}
				if (-a5 - b5 == x) {
					System.out.println(-a + " "+ b);
					return;
				}
				if (-a5 + b5 == x) {
					System.out.println(-a + " "+ -b);
					return;
				}
				if (a5 + b5 == x) {
					System.out.println(a + " "+ -b);
					return;
				}
			}
		}
	}
}