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
list5 = []
hash5 = {}
a = 1
while(true) do
  a5 = a**5
  hash5[a5] = a
  b5 = - (x - a5)
  if b5 == 0
    puts "#{a} 0"
    exit
  end
  if b = hash5[b5]
    puts "#{a} #{b}"
    exit
  end
  if b = hash5[-b5]
    puts "#{a} #{-b}"
    exit
  end
  a += 1
end