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: Runtime Error)

io = STDIN
x=io.gets.to_i
ar =50.times.map {|i|i**5}
hash={}
aa=ar.product(ar).each do |a,b|
  hash[a+b]=[a,-b]
  hash[a-b]=[a,b]
  hash[b-a]=[b,a]
end
puts hash[x].join(" ")