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: Time Limit Exceeded)

X = int(input())

b = 0
while 1:
    a = (X + b ** 5) ** (1/5)
    if a.is_integer() == True:
        break
    b = -b
    c = X + b ** 5
    if c >= 0:
        a = c ** (1/5)
        if a.is_integer() == True:
            break
    b = -b
    b += 1
print(int(a), b)