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())
fifth_power=[0]*200
for i in range(200):
    fifth_power[i]=(i+1)**5
for i in range(200):
    t=x-fifth_power[i]
    if x==1:
        print(0,-1)
        break
    elif fifth_power.count(abs(t))==1:
        if abs(t)-fifth_power[i]==x:
            print(fifth_power.index(abs(t))+1,i+1)
            break
        else:
            print(fifth_power.index(abs(t))+1,-i-1)
            break