
def 				__A(lowerCAmelCase    ,	lowerCAmelCase    ,	lowerCAmelCase=False			)		->					Tuple:

		"""simple docstring"""






		if isinstance(snake_case__    ,	snake_case__			) and isinstance(snake_case__    ,	snake_case__			):
				_UpperCamelCase         =						len(set_a.intersection(snake_case__			)			)

				if alternative_union:
						_UpperCamelCase         =						len(snake_case__			) + len(snake_case__			)
				else:
						_UpperCamelCase         =						len(set_a.union(snake_case__			)			)

				return intersection / union

		if isinstance(snake_case__    ,	(list, tuple)			) and isinstance(snake_case__    ,	(list, tuple)			):
				_UpperCamelCase         =						[element for element in set_a if element in set_b]

				if alternative_union:
						_UpperCamelCase         =						len(snake_case__			) + len(snake_case__			)
						return len(snake_case__			) / union
				else:
						_UpperCamelCase         =						set_a + [element for element in set_b if element not in set_a]
						return len(snake_case__			) / len(snake_case__			)

				return len(snake_case__			) / len(snake_case__			)
		return None


if __name__ == "__main__":
		lowerCamelCase__						=				{"a", "b", "c", "d", "e"}
		lowerCamelCase__						=				{"c", "d", "e", "f", "h", "i"}
		print(jaccard_similarity(set_a, set_b))






"""simple docstring"""




from __future__ import annotations

def 						A							(  snake_case__     ):




			'''simple docstring'''


			for i in range(1		,					len(matrix[0]     )     ):
						matrix[0][i] += matrix[0][i - 1]

			# preprocessing the first column
			for i in range(1		,					len(snake_case__     )     ):
						matrix[i][0] += matrix[i - 1][0]

			# updating the path cost for current position
			for i in range(1		,					len(snake_case__     )     ):
						for j in range(1		,					len(matrix[0]     )     ):
									matrix[i][j] += min(matrix[i - 1][j]		,					matrix[i][j - 1]     )

			return matrix[-1][-1]


if __name__ == "__main__":
						import doctest

						doctest.testmod()


