"""
References: https://en.wikipedia.org/wiki/M%C3%B6bius_function
References: wikipedia:square free number
psf/black : True
ruff : True
"""

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


def mobius(n: int) -> int:
 """
 Mobius function
 >>> mobius(24)
 0
 >>> mobius(-1)
 1
 >>> mobius('asd')
 Traceback (most recent call last):
 ...
 TypeError: '<=' not supported between instances of 'int' and 'str'
 >>> mobius(10**400)
 0
 >>> mobius(10**-400)
 1
 >>> mobius(-1424)
 1
 >>> mobius([1, '2', 2.0])
 Traceback (most recent call last):
 ...
 TypeError: '<=' not supported between instances of 'int' and 'list'
 """
 factors = prime_factors(n)
 if is_square_free(factors):
 return -1 if len(factors) % 2 else 1
 return 0


if __name__ == "__main__":
 import doctest

 doctest.testmod()