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.chomp.to_f
m = x**(1/2.0)
l = []
(1..m).each do |i|
  l << i if x % i == 0
end

l.each do |i|
  a = i - 1
  b = 1
  if a**5-b**5==x
    puts "#{a} #{b}"
    return
  end
  a = i + 1
  b = -1
  if a**5-b**5==x
    puts "#{a} #{b}"
    return
  end
end