
"""simple docstring"""


from .hash_table import HashTable







class 		lowerCamelCase__					(					__magic_name__				):





			'''simple docstring'''



			def __init__(							self     ,     *__UpperCAmelCase     ,     **__UpperCAmelCase  ) ->     List[str]:
				super().__init__(*__UpperCAmelCase     ,     **__UpperCAmelCase  )



			def 					_lowerCAmelCase		(							self     ,     __UpperCAmelCase     ,     __UpperCAmelCase=None  ) ->     Union[str, Any]:
				_lowerCAmelCase								=1
				_lowerCAmelCase								=self.hash_function(key + i * i  )

				while self.values[new_key] is not None and self.values[new_key] != key:
					i += 1
					_lowerCAmelCase								=(
					    self.hash_function(key + i * i  )
					    if not self.balanced_factor() >= self.lim_charge
					    else None
					)

					if new_key is None:
						break

				return new_key





"""simple docstring"""


def     _lowerCamelCase(__UpperCamelCase       )				-> list:
	_lowerCAmelCase								=[True for i in range(n + 1       )]
	_lowerCAmelCase								=[i - 1 for i in range(n + 1       )]
	_lowerCAmelCase								=[]
	for i in range(2    , n + 1       ):
		if is_prime[i]:
			primes.append(__UpperCamelCase       )
		for j in range(0    , len(__UpperCamelCase       )       ):
			if i * primes[j] >= n:
				break
			_lowerCAmelCase								=False

			if i % primes[j] == 0:
				_lowerCAmelCase								=totients[i] * primes[j]
				break

			_lowerCAmelCase								=totients[i] * (primes[j] - 1)

	return totients


if __name__ == "__main__":
			import doctest

			doctest.testmod()



