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())
n=int(10**9**(1/5))
gojou=[0]*(n+1)
for i in range(n+1):
    gojou[i]=i**5

for i in range(n+1):
    for j in range(n+1):
        if gojou[i]-gojou[j]==x:
            print(i,j)
            break
        elif gojou[i]+gojou[j]==x:
            if i**5 - (-j)**5 == x:
                print(i,-j)
                break
            elif j**5 - (-i)**5==x:
                print(j,-i)
                break
        elif -gojou[i]-gojou[j]==x:
            print(-i,j)
            break
    else:
        continue
    break