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)

x = int(input())
temp = int(x ** 0.25)
for i in range(-temp, temp + 1):
    temp2 = int((i ** 5 + x) ** 0.2)
    if temp2 ** 5 - i ** 5 == x:
        print(temp2, i)
        break
    temp3 = int((i ** 5 - x) ** 0.2)
    if i ** 5 - temp3 ** 5 == x:
        print(i, temp3)
        break