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 OCaml (4.10.0) (judge verdict: Wrong Answer)

open Batteries
let x = read_int ()

let rec loop a =
  let rec loop2 b =
    if b >= 100 then (0, 0) else
    if ((a * a * a * a * a) - (b*b*b*b*b)) = x then (a, b) else loop2 (b+1)
  in if a >= 100 then (0, 0) else (
  let a_, b_ = loop2 (-100) in
  if a_ = 0 && b_ = 0 then loop (a+1) else (a_, b_)
)
let a, b = loop (-100)
let _ = Printf.printf "%d %d\n" a b