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: Accepted)

using System;
using System.Linq;
using System.Collections;
using System.Collections.Generic;

namespace Main
{
    class Program
    {
        static void Main(string[] args)
        {
            //ここから
            //string[] str = Console.ReadLine().Split(' ');
            //int n = int.Parse(Console.ReadLine());



            long[] gojo = new long[1000];
            for (int i = 0; i < 1000; i++)
            {
                gojo[i] = (long)(Math.Pow(i, 5));
               // Console.WriteLine(gojo[i]);
            }
            long x = int.Parse(Console.ReadLine());

            for (int i = 0; i < 1000; i++)
            {
                long t = gojo[i] - x;
                if (t >= 0)
                {
                    if (gojo.Any(s => s == t))
                    {
                        Console.WriteLine("{0} {1}", i, (long)Math.Pow(t, 1.0 / 5.0));
                        return;
                    }
                }
                else
                {
                    if (gojo.Any(s => s == -1 * t))
                    {
                        Console.WriteLine("{0} {1}", i, -1 * (long)Math.Pow(-1 * t, 1.0 / 5.0));
                        return;
                    }
                }

            }

            //ここまで
        }

        static long Max(long a, long b)
        {
            if (a > b) return a;
            else return b;
        }


    }

}