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;

namespace AtCoder.Question
{
    public class QuestionD
    {
        public static void Main(string[] args)
        {
            var x = Decimal.Parse(Console.ReadLine());

            var fifthDic = new Dictionary<Decimal, Decimal>();

            for (Decimal i = -1000; i <= 1000; i++)
            {
                var fifth = i * i * i * i * i;
                if (!fifthDic.ContainsKey(fifth))
                {
                    fifthDic.Add(fifth, i);
                }
            }

            foreach (var kv in fifthDic)
            {
                if (fifthDic.ContainsKey(kv.Key - x))
                {
                    Console.WriteLine($"{kv.Value} {fifthDic[kv.Key - x]}");
                    return;
                }
            }
        }
    }
}