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 Ruby (2.7.1) (judge verdict: Time Limit Exceeded)

require 'prime'
x = gets.to_i
dd = [1]
if x > 1
  pd = x.prime_division
  dd = pd.map { |v| v[0] }
end
ans = nil
dd.each do |d|
  if x % d == 0
    for a in 0..x do
      b = a - d
      if a ** 5 - b ** 5 == x
        ans = [a, b]
        break
      end
    end
  end
  break if !ans.nil?
end
puts ans.join(" ")