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: Accepted)

x = gets.to_i

a_max = (x ** 0.25).to_i + 1

begin
  (1..a_max).each do |a|
    (-a..a).each do |b|
      if a**5 - b**5 == x
        puts [a, b] * ' '
        raise
      end
    end
  end
rescue
  :OK
end

load __FILE__ unless $stdin.eof?