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 PyPy3 (7.3.0) (judge verdict: Wrong Answer)

x = int(input())
for a in range(-1000,1001):
    b = int(pow(a,5))-x
    c = int(pow(a,5))+x
    if b>0:
        b = pow(b,0.2)
        if b==int(b):
            print(int(a),int(b))
            break
    if c>0:
        c = pow(c,0.2)
        if c==int(c):
            print(int(c),int(a))
            break
# print(1/5)