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

100.times{|a|
  a5 = a**5
  b5 = x-a5
  ub = 100
  lb = 0
  32.times{|j|
    mid = (ub+lb)/2
    if b5 <= mid**5
      ub = mid
    else
      lb = mid
    end
  }
  if ub**5 == b5
    puts [a,ub]*" "
    exit
  end
}