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: Time Limit Exceeded)

x=int(input())
a=0
b=0
def f(n):
    n1 = n**(1/5)
    if n1==int(n1):
        return True

l=set()
l.add(0)
i=1
while i<2*x:
    i1=i**5
    l.add(i1)
    if i%2==1:
        l.add(-i1)
    i+=1

for i in l:
    b=i
    a=x+b
    if a in l:
        if a!=0 and b!=0:
            a1=(a/abs(a))*(abs(a)**(1/5))
            b1=(b/abs(b))*(abs(b)**(1/5))
            print(int(a1),int(b1))
        elif b==0:
            a1=(a/abs(a))*(abs(a)**(1/5))
            print(int(a1),0)
        else:
            b1=(b/abs(b))*(abs(b)**(1/5))
            print(0,int(b1))
        break