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 (
	"fmt"
	"math"
)

func main() {
	var X int
	fmt.Scan(&X)

LOOP:
	for A := -2500; A < 2500; A++ {
		for B := -2500; B < 2500; B++ {
			if int(math.Pow(float64(A), 5)-math.Pow(float64(B), 5)) == X {
				fmt.Println(A, B)
				break LOOP
			}
		}
	}
}