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())

def factorization(n):
    arr = [1]
    temp = n
    for i in range(2, int(-(-n**0.5//1))+1):
        if temp%i==0:
            cnt=0
            while temp%i==0:
                cnt+=1
                temp //= i
            arr.append(i)

    if temp!=1:
        arr.append(temp)

    arr.append(n)

    return arr
    
fact_ls = factorization(X)

flg = False
for f in fact_ls:
    for b in range(-999, 1000):
        a = b + f
        if (a ** 5 - b ** 5) == X:
            A = a
            B = b
            flg = True
            break
    if flg:
        break
else:
    A = 0
    B = 0

print(A, B)