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.io.*;
import java.math.BigInteger;
import java.util.Arrays;
import java.util.Scanner;
public class Main {
    private static void slove(long m[],int x){
        for(int i=0;i<120;i++){
            for(int j=1;j<120;j++){
                if(m[i]+m[j]==x){
                    System.out.print(i+" "+(-j));
                    return;
                }
                if(m[i]-m[j]==x){
                    System.out.print(i+" "+j);
                    return;
                }
            }
        }
    }
    public static void main(String[] args) throws IOException{
        Scanner sc=new Scanner(new BufferedInputStream(System.in));
        int x=sc.nextInt();
        long m[]=new long[120];
        for(int i=0;i<m.length;i++)
            m[i]=(long)Math.pow(i,5);
        slove(m,x);
    }
}