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)

fn get_line() -> String {
    let mut line = String::new();
    std::io::stdin().read_line(&mut line).unwrap();
    line.trim().to_string()
}

fn main() {
    let x = get_line().parse::<i64>().unwrap();
    let a = (x as f64).powf(0.2) as i64;

    // もしbが存在しなければa - 1して2周目
    let diff = x - a.pow(5);
    let mut b = 0;
    let mut flag = false;
    for i in 1..diff + 1 {
        if i.pow(5) == diff {
            flag = true;
            b = -1 * i;
        }
    }

    if diff != 0 && !flag {
        let a = a - 1;
        let diff = x - a.pow(5);
        for i in 1..diff + 1 {
            if i.pow(5) == diff {
                b = -1 * i;
            }
        }
    }

    println!("{} {}", a, b);
}