


from __future__ import annotations

import math







def        SCREAMING_SNAKE_CASE_						(			__A :			int				)	->		list[int]:

       """simple docstring"""

       if num <= 0:
              a_					:		str							=  F"""{num}: Invalid input, please enter a positive integer."""
              raise ValueError(__A				)

       a_					:		Tuple							=  [True] * (num + 1)
       a_					:		Union[str, Any]							=  []
       a_					:		Optional[int]							=  2
       a_					:		Optional[Any]							=  int(math.sqrt(__A				)				)

       while start <= end:
              # If start is a prime
              if sieve[start] is True:
                     prime.append(__A				)

                     # Set multiples of start be False
                     for i in range(start * start  ,    num + 1  ,    __A				):
                            if sieve[i] is True:
                                   a_					:		Any							=  False

              start += 1

       for j in range(end + 1  ,    num + 1				):
              if sieve[j] is True:
                     prime.append(__A				)

       return prime


if __name__ == "__main__":
   print(prime_sieve(int(input('Enter a positive integer: ').strip())))




from maths.is_square_free import is_square_free
from maths.prime_factors import prime_factors




def  __magic_name__ (   __lowerCAmelCase	:						int							)			->   int:
				__lowerCamelCase    					=	prime_factors(__lowerCAmelCase							)
				if is_square_free(__lowerCAmelCase							):
								return -1 if len(__lowerCAmelCase							) % 2 else 1
				return 0


if __name__ == "__main__":
					import doctest

					doctest.testmod()



