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: Wrong Answer)

use proconio::{fastout, input};

#[fastout]
fn main() {
    input! {x: usize};
    let x: usize = x;
    let mut t = false;

    for a in 0..((x as f64).sqrt() as usize) * 2 {
        for b in 0..(x as f64).sqrt() as usize {
            if a.pow(5) + (b * b * b * b * b) == x || a.pow(5) - (b * b * b * b * b) == x {
                if b == 0 {
                    println!("{} {}", a, b);
                } else {
                    println!("{} -{}", a, b);
                }
                t = true;
            }
            if t {
                break;
            }
        }
        if t {
            break;
        }
    }
}