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())

lower = -1
upper = -1
for i in range(100000000):
    pow5 = pow(i, 5)
    if lower == -1 and pow5 >= x:
        lower = i - 1

    if lower != -1 and upper == -1 and pow5 - pow(i-1, 5) >= x:
        upper = i
        break

for a in range(lower-1, upper+1):
    a5 = pow(a, 5)
    for b in range(-upper-1, upper+1):
        if a5 - pow(b, 5) == x:
            print(a, b)
            exit(0)

# 0, 0
print(0, 0)