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: Runtime Error)

extern crate core;

use std::collections::HashMap;
use std::io::{self, Read};

#[macro_export]
macro_rules! input {
  ($s:expr=>$($t:tt)*) => {
    let mut lines=$s.split("\n");
    $(
        line_parse!(lines,$t);
    )*
  };
}

macro_rules! line_parse {
  ($lines:expr,($($name:ident:$t:tt)*)) => {
    let mut line=$lines.next().unwrap().split_whitespace();
    $(value_def!(line,$name,$t);)*
  };

  //複数行
  ($lines:expr,{$n:expr;$name:ident:$t:tt}) => {
    values_def!($lines,$n,$name,$t);
  };
}

macro_rules! value_def {
    ($line:expr, $name:ident, $t:tt) => {
        let $name = value!($line, $t);
    };
}

macro_rules! values_def {
    ($lines:expr, $n:expr, $name:ident, $t:tt) => {
        let $name = {
            let mut vec = Vec::new();
            for i in 0..$n {
                let mut next = $lines.next().unwrap().split_whitespace();
                vec.push(value!(next, $t));
            }
            vec
        };
    };
}

macro_rules! value {
  //配列
  ($line:expr,[$t:tt]) => {
    $line.map(|x|{
      let mut iter=::std::iter::once(x);
      value!(iter,$t)
    }).collect::<Vec<_>>()
  };
  //タプル
  ($line:expr,($($t:tt),*)) => {
    ($(value!($line,$t),)*)
  };
  //文字列
  ($line:expr,#) => {
    $line.next().unwrap()
  };
  //インデックス(-1)
  ($line:expr,@) => {
    $line.next().unwrap().parse::<usize>().unwrap()-1
  };
  //単一値
  ($line:expr,$t:ty) => {
    $line.next().unwrap().parse::<$t>().unwrap()
  };
}

fn main() {
    let mut input = String::new();
    io::stdin().read_to_string(&mut input).unwrap();
    let output = solve(input.trim().to_string());
    println!("{}", output);
}

fn solve(input: String) -> String {
    input!(input=>(n:usize)(list:[i64]));
    /*
    2 3 3 1 3 1

    1 2 (2, -1) (3, 0) (4, 1)
    2 3 (3, -2) (4, -1) (5, 0)
    3 3
    4 1
    5 3
    6 1

    (n_x+a_x)=(n_y-h_y)となるx<yな値の個数
    */
    let list = list
        .into_iter()
        .enumerate()
        .map(|(i, x)| (i as i64 + 1, x))
        .collect::<Vec<_>>();

    let diff_to_n = list.clone().into_iter().map(|(n, a)| (n - a, n)).fold(
        HashMap::new(),
        |mut acc, (key, v)| {
            acc.entry(key).or_insert(Vec::new()).push(v);
            acc
        },
    );

    list.into_iter()
        .map(|(n, a)| {
            diff_to_n
                .get(&(n + a))
                .map(|xs| larger_count(xs, &n))
                .unwrap_or(0)
        })
        .sum::<usize>()
        .to_string()
}

macro_rules! tests {
    ($($name:ident: $input:expr=>$output:expr,)*) => {
        mod tests {
            $(
                #[test]
                fn $name() {
                    assert_eq!($output.trim().to_string(),super::solve($input.trim().to_string()));
                }
            )*
        }
    }
}
tests! {
    test1: "6\n2 3 3 1 3 1\n" => "3\n",
    test2: "6\n5 2 4 2 8 8\n" => "0\n",
    test3: "32\n3 1 4 1 5 9 2 6 5 3 5 8 9 7 9 3 2 3 8 4 6 2 6 4 3 3 8 3 2 7 9 5\n" => "22\n",
}

//より大きい
pub fn larger_count<T: Ord>(vec: &Vec<T>, val: &T) -> usize {
    vec.len() - upper_bound(vec, 0, vec.len(), val)
}

//vecは昇順ソート済み
//以上
pub fn lower_bound<T: Ord>(vec: &Vec<T>, mut first: usize, mut last: usize, val: &T) -> usize {
    let mut mid;
    while last - first > 1 {
        mid = (first + last) / 2;
        if &vec[mid] < val {
            first = mid;
        } else {
            last = mid;
        }
    }
    if &vec[first] < val {
        last
    } else {
        first
    }
}

//より大きい
pub fn upper_bound<T: Ord>(vec: &Vec<T>, mut first: usize, mut last: usize, val: &T) -> usize {
    let mut mid;
    while last - first > 1 {
        mid = (first + last) / 2;
        if &vec[mid] <= val {
            first = mid;
        } else {
            last = mid;
        }
    }
    if &vec[first] <= val {
        last
    } else {
        first
    }
}