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.Collections.Generic;
using System.Linq;

namespace AtCoder
{
    class Abc166D
    {
        public static void Main()
        {
            var x = long.Parse(Console.ReadLine());
            var afoot = (long)Math.Ceiling(Math.Pow(x, 1.0 / 4));

            for (long a = 1; a <= afoot; a++)
            {
                var a5 = (long)Math.Pow(a, 5);
                for (long b = 0; b < a; b++)
                {
                    long y = a5 - (long)Math.Pow(b, 5);
                    if (x == y)
                    {
                        Console.WriteLine($"{a} {b}");
                        return;
                    }
                    else if (x > y)
                        break;
                }
            }

            afoot = (long)Math.Ceiling(Math.Pow(x, 1.0 / 5));
            for (long a = 0; a <= afoot; a++)
            {
                var a5 = (long)Math.Pow(a, 5);
                for (long b = 0; b <= a; b++)
                {
                    long y = a5 + (long)Math.Pow(b, 5);
                    if (x == y)
                    {
                        Console.WriteLine($"{a} {-b}");
                        return;
                    }
                    else if (x < y)
                        break;
                }
            }
        }
    }
}