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 Go (1.14.1) (judge verdict: Accepted)

package main

import (
	"bufio"
	"fmt"
	"math"
	"os"
	"strconv"
)

var scanner = bufio.NewScanner(os.Stdin)

func main() {
	scanner.Split(bufio.ScanWords)
	x := nextInt()

LABEL:
	for i := -120; i < 120; i++ {
		for j := -120; j < 120; j++ {
			if int(math.Pow(float64(i), 5))-int(math.Pow(float64(j), 5)) == x {
				fmt.Println(i, j)
				break LABEL
			}
		}
	}
}

func next() string {
	scanner.Scan()
	return scanner.Text()
}

func nextInt() int {
	i, err := strconv.Atoi(next())
	if err != nil {
		fmt.Println(err)
	}
	return i
}