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 1.8.0) (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();

		int ansa = 0;
		int ansb = 0;

		for (int i = -100; i < 101; i++) {
			for (int j = -100; j < 101; j++) {
				if (x == pow(i) - pow(j)) {
					ansa = i;
					ansb = j;
					break;
				}
			}
		}

		System.out.println(ansa + " " + ansb);
	}

	static long pow(int l) {
		long result = 1;
		for (int i = 0; i < 5; i++)
			result *= l;

		return result;
	}

}