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.*;
import java.math.*;

public class Main {
    static final int MOD = 1_000_000_007; // 10^9+7
    // static final int MAX = 2_147_483_646; // intの最大値
    static final int INF = 1_000_000_000; // 10^9
    static final int MAX = 10_000_000;
    static long[] fact = new long[100];
        public static void main(String args[]) {
        Scanner sc = new Scanner(System.in);
        long n = sc.nextLong();
        for(int i = 0;i < 100000;i++){
            long x = pow(i,5);
            for(int j = 0;j < 100000;j++){
                long y = pow(j,5);
                if(x <= n){
                    if(x+y==n){
                        System.out.println(i+" "+-1*j);
                        return;
                    }
                }else{
                    if(x-y==n){
                        System.out.println(i+" "+j);
                        return;
                    }
                }
            }
        }
    }
    static long pow(long a, long n) {
        long ans = 1;
        long m = n;
        while (m > 0) {
            if ((m & 1) == 1)
                ans = ans * a;
            a = a * a;
            m >>= 1;
        }
        return ans;
    }
    
}