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())
y = int(pow(x, 1/5))*2
A = [i**5 for i in range(y+1)]
B = [i**5 for i in range(y+1)]

for i in range(len(A)):
  for j in range(len(B)):
    if ( A[i] + B[j] ) == x:
      exit(print(i, j))
    elif ( A[i] - B[j] ) == x:
      exit(print(i, -j))