




"""simple docstring"""







__A   :  str					=      tuple[float, float, float]
__A   :  List[Any]					=      tuple[float, float, float]

def 						snake_case__       (					_lowerCamelCase,  _lowerCamelCase				)			->Vectorad:






		"""simple docstring"""


		__lowercase				:		Optional[int]												=				end_pointa[0] - end_pointa[0]
		__lowercase				:		List[str]												=				end_pointa[1] - end_pointa[1]
		__lowercase				:		Any												=				end_pointa[2] - end_pointa[2]
		return (x, y, z)

def 						snake_case__       (					_lowerCamelCase,  _lowerCamelCase				)			->Vectorad:






		"""simple docstring"""


		__lowercase				:		Optional[Any]												=				ab[1] * ac[2] - ab[2] * ac[1]  # *i
		__lowercase				:		List[str]												=				(ab[0] * ac[2] - ab[2] * ac[0]) * -1  # *j
		__lowercase				:		List[Any]												=				ab[0] * ac[1] - ab[1] * ac[0]  # *k
		return (x, y, z)

def 						snake_case__       (					_lowerCamelCase,  _lowerCamelCase				)			->bool:






		"""simple docstring"""


		return tuple(round(_lowerCamelCase,  _lowerCamelCase				) for x in vector				) == (0, 0, 0)





def 						snake_case__       (					_lowerCamelCase,  _lowerCamelCase,  _lowerCamelCase,  _lowerCamelCase = 10				)			->bool:






		"""simple docstring"""


		__lowercase				:		Union[str, Any]												=				create_vector(_lowerCamelCase,  _lowerCamelCase				)
		__lowercase				:		Any												=				create_vector(_lowerCamelCase,  _lowerCamelCase				)
		return is_zero_vector(get_ad_vectors_cross(_lowerCamelCase,  _lowerCamelCase				),  _lowerCamelCase				)






"""simple docstring"""







from collections import deque

from .hash_table import HashTable




class       lowerCAmelCase__       (			lowerCAmelCase_    ):


				"""simple docstring"""





				def __init__(     self					:	Optional[int]    ,   *lowercase__					:	Any    ,   **lowercase__					:	Union[str, Any]						):
						super().__init__(*lowercase__    ,   **lowercase__						)



				def       snake_case    (     self					:	Any    ,   lowercase__					:	Dict    ,   lowercase__					:	Dict						):
						__lowercase				:		Dict												=				deque([]						) if self.values[key] is None else self.values[key]
						self.values[key].appendleft(lowercase__						)
						__lowercase				:		Union[str, Any]												=				self.values[key]



				def       snake_case    (     self					:	str						):
						return (
						    sum(self.charge_factor - len(lowercase__						) for slot in self.values						)
						    / self.size_table
						    * self.charge_factor
						)



				def       snake_case    (     self					:	Union[str, Any]    ,   lowercase__					:	List[str]    ,   lowercase__					:	str=None						):
						if not (
						    len(self.values[key]						) == self.charge_factor and self.values.count(lowercase__						) == 0
						):
								return key
						return super()._collision_resolution(lowercase__    ,   lowercase__						)
