mirror of
https://github.com/TheAlgorithms/Python.git
synced 2024-11-24 13:31:07 +00:00
c964d743b6
* Add files via upload * Update mobius_function.py * Add files via upload * Add files via upload * Add files via upload * Add files via upload * Add files via upload * Add files via upload * Update mobius_function.py * Delete mobius_function.py * Add files via upload
44 lines
976 B
Python
44 lines
976 B
Python
"""
|
|
Refrences: https://en.wikipedia.org/wiki/M%C3%B6bius_function
|
|
References: wikipedia:square free number
|
|
python/black : True
|
|
flake8 : True
|
|
"""
|
|
|
|
from maths.prime_factors import prime_factors
|
|
from maths.is_square_free import is_square_free
|
|
|
|
|
|
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()
|