Problem: 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

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

Examples

Input

33


Output

2 -1


Input

1


Output

0 -1

Solution (in JAVA):

Solution:
import java.util.Scanner;

public class Main {
    public static void main(String args[]){

        Scanner sc = new Scanner(System.in);
        int x = sc.nextInt();

        int ansA = 0;
        int ansB = 0;

            outside: for(int a = -118;a <= 119;a++){
                for(int b = -119;b <= 118;b++){
                    if(fifthExponentiation(a) - fifthExponentiation(b) == x){
                        ansA = a;
                        ansB = b;
                        break outside;
                    }
                }
        }

        System.out.println(ansA + " " + ansB);
    }

    static int fifthExponentiation(int num){
        int answer = 1;
        for(int i = 1; i <= 5; i++){
            answer *= num;
        }
        return answer;
    }
}