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: Accepted)

X = int(input())

# 素数と個数を求める
def factorize(n):
    res = list()
    i = 2
    while i*i <= n:
        if n%i == 0:
            c = 0
            while n%i == 0:
                n /= i
                c += 1
            res.append([i,c])
        i += 1
    if n != 1:
        res.append([n,1])
    return res

for a in range(-200,200+1):
    a5 = a**5
    b5 = a5 - X
    sign = 1
    if b5 < 0:
        b5 = -b5
        sign = -1

    pc = factorize(b5)

    b = 1
    if b5 == 0: b = 0
    for p,c in pc:
        if c == 5:
            b *= p
        else:
            break

    if b**5 == b5:
        print(a, sign*b)
        break