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)

use proconio::input;

fn solve(x: i64) -> (i64, i64) {
    for i in (-199)..200 {
        for j in (-199)..200 {
            if i*i*i*i*i - j*j*j*j*j == x {
                return (i, j);
            }
        }
    }
    panic!();
}

fn main() {
    input! {
        x: i64,
    }
    let r = solve(x);
    println!("{} {}", r.0, r.1);
}