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 C# (.NET Core 3.1.201) (judge verdict: Wrong Answer)

using System;
using System.Collections.Generic;
using System.Linq;
using System.Text;
using System.Threading.Tasks;

namespace ConsoleApp2
{
    class Program
    {
        static void Main(string[] args)
        {
            long X = long.Parse(Console.ReadLine());

            int A = 1;

            while(true)
            {
                double B = NthRoot((X - Math.Pow(A, 5)) * -1, 5);


                if (B % 1 == 0)
                {
                    Console.WriteLine(A.ToString() + " " + B.ToString());
                    break;
                }

                A++;
            }

            Console.ReadLine();
        }

        static double NthRoot(double x, int n)
        {
            if (x >= 0)
            {
                // 通常のn乗根
                return Math.Pow(x, 1.0 / (double)n);
            }
            else
            {
                if ((n % 2) != 0)
                {
                    // 奇数乗根の場合
                    return -Math.Pow(-x, 1.0 / (double)n);
                }
                else
                {
                    // 偶数乗根の場合
                    return double.NaN;
                }
            }
        }
    }
}