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# (Mono-csc 3.5.0) (judge verdict: Time Limit Exceeded)

using System;
using System.Collections.Generic;
using System.Linq;
class Ho{
  static void Main(){
    var x = long.Parse(Console.ReadLine());
    int a = 0;
    if(x >=100000000){
      a = 50;
    }
    for(;;a++){
      for(int b = 0;b>=-100;b--){
        long c = (a*a*a*a*a)-(b*b*b*b*b);
          if(x == c){
           Console.WriteLine(a+" "+b);
           return;
          }
      }     
    }
  }
}