



'''simple docstring'''





from collections import deque

from .hash_table import HashTable






class 					lowerCamelCase_    (				SCREAMING_SNAKE_CASE_     ):
  """simple docstring"""




  def __init__( self      :	int			,	*_a      :	Dict			,	**_a      :	Optional[int]   )					->					Any:
    super().__init__(*_a			,	**_a   )




  def 						_lowercase     ( self      :	Union[str, Any]			,	_a      :	List[Any]			,	_a      :	int   )					->					Union[str, Any]:
    __lowerCamelCase       :       int           = deque([]   ) if self.values[key] is None else self.values[key]
    self.values[key].appendleft(_a   )
    __lowerCamelCase       :       Optional[int]           = self.values[key]




  def 						_lowercase     ( self      :	Tuple   )					->					Optional[Any]:
    return (
        sum(self.charge_factor - len(_a   ) for slot in self.values   )
        / self.size_table
        * self.charge_factor
    )




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











'''simple docstring'''





_UpperCamelCase											=						tuple[float, float, float]
_UpperCamelCase											=						tuple[float, float, float]

def        a_     (							_lowerCAmelCase       ,_lowerCAmelCase       )      ->      Vectorad:
  __lowerCamelCase       :       Any           = end_pointa[0] - end_pointa[0]
  __lowerCamelCase       :       str           = end_pointa[1] - end_pointa[1]
  __lowerCamelCase       :       Tuple           = end_pointa[2] - end_pointa[2]
  return (x, y, z)

def        a_     (							_lowerCAmelCase       ,_lowerCAmelCase       )      ->      Vectorad:
  __lowerCamelCase       :       List[str]           = ab[1] * ac[2] - ab[2] * ac[1]  # *i
  __lowerCamelCase       :       Dict           = (ab[0] * ac[2] - ab[2] * ac[0]) * -1  # *j
  __lowerCamelCase       :       List[Any]           = ab[0] * ac[1] - ab[1] * ac[0]  # *k
  return (x, y, z)

def        a_     (							_lowerCAmelCase       ,_lowerCAmelCase       )      ->      bool:
  return tuple(round(_lowerCAmelCase       ,_lowerCAmelCase       ) for x in vector       ) == (0, 0, 0)


def        a_     (							_lowerCAmelCase       ,_lowerCAmelCase       ,_lowerCAmelCase       ,_lowerCAmelCase = 10       )      ->      bool:
  __lowerCamelCase       :       str           = create_vector(_lowerCAmelCase       ,_lowerCAmelCase       )
  __lowerCamelCase       :       Dict           = create_vector(_lowerCAmelCase       ,_lowerCAmelCase       )
  return is_zero_vector(get_ad_vectors_cross(_lowerCAmelCase       ,_lowerCAmelCase       )       ,_lowerCAmelCase       )






