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 Rust (1.42.0) (judge verdict: Accepted)

#[warn(unused_imports)]
use proconio::{
   fastout, input,
   marker::{Bytes, Chars, Isize1, Usize1}
};

#[fastout]
fn main() {
   input! {
      mut x: i64
   }
   for b in -150..150 {
      for a in b+1..150 {
         let c = f5(a) - f5(b);
         if c > x {
            break;
         }
         if c == x {
            println!("{} {}", a, b);
            return;
         }
      }
   }
}

fn f5(x: i64) -> i64 {
   x*x*x*x*x
}