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)

X = int(input())

for b in range(X):
    a = X + b ** 5
    a = pow(a, 1.0 / 3.0)
    if a.is_integer():
        A, B = int(a), b
        break
    a = X - b ** 5
    if a < 0:
        continue
    a = pow(a, 1.0 / 3.0)
    if a.is_integer():
        A, B = int(a), -b

if X == 1:
    print(1, 0)
else:
    print(A, B)