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 Python (3.8.2) (judge verdict: Runtime Error)

import math

X = int(input())


def calculate(x):

    loop = True
    b = 0
    while loop:
        tmp1 = x + b ** 5
        a1 = math.pow(tmp1, 1 / 5)

        if float.is_integer(a1):
            print(int(a1), int(b))
            break

        tmp2 = x + (-1 * b) ** 5
        a2 = math.pow(tmp2, 1 / 5)
        if float.is_integer(a2):
            print(int(a2), int(-1*b))
            break
        b = b + 1


calculate(X)