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: Wrong Answer)

import numpy as np

x = int(input())
k = 0
A = 0
B = 0
for i in range(0, 100):
    I = i**5
    j = I - x
    J = abs(j)
    k = 0
    while k <= J**(0.2):
        if k**5 == J:
            A = i
            B = k*(np.sign(j))
            break
        k += 1
print(str(A) + ' ' + str(B))