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;

/*
for i in range(0, 1000):
    if (i+1)**5 - i**5 > 10**9:
        print(i)
        break
-> 119
*/

fn main() {
    input! {
        x: i128
    };

    'outer: for a in -125..125 {
        let a = a as i128;
        for b in -125..125 {
            let b = b as i128;
            if a.pow(5) - b.pow(5) == x {
                println!("{} {}", a, b);
                return;
            }
        }
    }
}