


class        _lowercase      :






				'''simple docstring'''



				def __init__(       self			:Optional[Any]			,			lowerCAmelCase__			:list[int]	)		->			None:
										__SCREAMING_SNAKE_CASE						:     Optional[Any]					=		len(lowerCAmelCase__	)
										__SCREAMING_SNAKE_CASE						:     Tuple					=		[0] * len_array

										if len_array > 0:
																__SCREAMING_SNAKE_CASE						:     List[Any]					=		array[0]

										for i in range(1			,			lowerCAmelCase__	):
																__SCREAMING_SNAKE_CASE						:     int					=		self.prefix_sum[i - 1] + array[i]


				def 		__magic_name__(       self			:Any			,			lowerCAmelCase__			:int			,			lowerCAmelCase__			:int	)		->			int:
										if start == 0:
																return self.prefix_sum[end]

										return self.prefix_sum[end] - self.prefix_sum[start - 1]



				def 		__magic_name__(       self			:Optional[int]			,			lowerCAmelCase__			:int	)		->			bool:
										__SCREAMING_SNAKE_CASE						:     Dict					=		{0}
										for sum_item in self.prefix_sum:
																if sum_item - target_sum in sums:
																						return True

																sums.add(lowerCAmelCase__	)

										return False


if __name__ == "__main__":
						import doctest

						doctest.testmod()




def        _UpperCamelCase							(      lowercase__    ,       lowercase__    ,       lowercase__=False      ):

						if isinstance(lowercase__    ,       lowercase__      ) and isinstance(lowercase__    ,       lowercase__      ):
												__SCREAMING_SNAKE_CASE						:     List[str]					=		len(set_a.intersection(lowercase__      )      )

												if alternative_union:
																		__SCREAMING_SNAKE_CASE						:     int					=		len(lowercase__      ) + len(lowercase__      )
												else:
																		__SCREAMING_SNAKE_CASE						:     int					=		len(set_a.union(lowercase__      )      )

												return intersection / union

						if isinstance(lowercase__    ,       (list, tuple)      ) and isinstance(lowercase__    ,       (list, tuple)      ):
												__SCREAMING_SNAKE_CASE						:     Dict					=		[element for element in set_a if element in set_b]

												if alternative_union:
																		__SCREAMING_SNAKE_CASE						:     Optional[int]					=		len(lowercase__      ) + len(lowercase__      )
																		return len(lowercase__      ) / union
												else:
																		__SCREAMING_SNAKE_CASE						:     Tuple					=		set_a + [element for element in set_b if element not in set_a]
																		return len(lowercase__      ) / len(lowercase__      )

												return len(lowercase__      ) / len(lowercase__      )
						return None


if __name__ == "__main__":
						__lowerCAmelCase	: List[Any]  				={'a', 'b', 'c', 'd', 'e'}
						__lowerCAmelCase	: Optional[Any]  				={'c', 'd', 'e', 'f', 'h', 'i'}
						print(jaccard_similarity(set_a, set_b))
