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: Time Limit Exceeded)

using System;

namespace _166_a
{
    class Program
    {
        static void Main(string[] args)
        {
            int c = 10000;
            int x = int.Parse(Console.ReadLine());
            for (int a = 0; a < c; a++)
            {
                for (int b = 0; b < c; b++)
                {
                    if ((Math.Pow(a, 5) - Math.Pow(b, 5)) == x)
                    {
                        Console.WriteLine("{0} {1}", a, b);
                    }
                    if ((Math.Pow(a, 5) - Math.Pow(b*-1, 5)) == x)
                    {
                        Console.WriteLine("{0} -{1}", a, b);
                    }
                }
            }
        }
    }
}