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 {
    static void solve(long x) {
        for (int a = 0; a<=1000;a++) {
            for (int b=-1000;b<=1000;b++) {
                if (a*a*a*a*a - b*b*b*b*b == x) {
                    System.out.println(a + " " + b);
                    return;
                }
            }
        }
    }
    public static void main(String[] args) {
        Scanner in = new Scanner(System.in);

        long x = in.nextLong();
        solve(x);
    }
}