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: Wrong Answer)

x = gets.to_i


(1..1000000).each do |n|
  if n ** 5 >= x - 1
    b = (x - n ** 5) * -1
    if b == -1
      puts "#{n} #{b}"
      exit
    elsif (b ** (1.0/5.0)).to_i == b ** (1.0/5.0)
      puts "#{n} #{(b ** (1.0/5.0)).to_i}"
      exit
    end
  end
end