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;

namespace atcoder
{
    class Program
    {
        static void Main(string[] args)
        {
            var n = int.Parse(Console.ReadLine());
            var lim = (int) Math.Pow(n, 1.0 / 5.0);
            var array = new long[lim + 1];
            for (var i = 0; i <= lim; i++)
            {
                array[i] = (long) Math.Pow(i, 5);
            }

            var result = new int[2];
            for (var i = 0; i <= lim; i++)
            {
                for (var j = i + 1; j <= lim; j++)
                {
                    var a = array[i];
                    var b = array[j];
                    if (b > n)
                    {
                        if (b - a == n)
                        {
                            result[0] = j;
                            result[1] = i;
                            break;
                        }
                    }
                    else
                    {
                        if (b + a == n)
                        {
                            result[0] = j;
                            result[1] = -i;
                            break;
                        }
                    }
                }
            }

            Console.WriteLine($"{result[0]} {result[1]}");
        }
    }
}