


'''simple docstring'''

from __future__ import annotations

from random import choice





def lowerCamelCase      (      lowerCAmelCase    :     List[str]		):





	"""simple docstring"""







	return choice(UpperCAmelCase_		)





def lowerCamelCase      (      lowerCAmelCase    :     list[int]		,		lowerCAmelCase    :     int		):





	"""simple docstring"""







	__magic_name__	:   Optional[int]					     =					random_pivot(UpperCAmelCase_		)

	# partition based on pivot
	# linear time
	__magic_name__	:   List[Any]					     =					[e for e in lst if e < pivot]
	__magic_name__	:   Any					     =					[e for e in lst if e > pivot]

	# if we get lucky, pivot might be the element we want.
	# we can easily see this:
	# small (elements smaller than k)
	# + pivot (kth element)
	# + big (elements larger than k)
	if len(UpperCAmelCase_		) == k - 1:
		return pivot
	# pivot is in elements bigger than k
	elif len(UpperCAmelCase_		) < k - 1:
		return kth_number(UpperCAmelCase_		,		k - len(UpperCAmelCase_		) - 1		)
	# pivot is in elements smaller than k
	else:
		return kth_number(UpperCAmelCase_		,		UpperCAmelCase_		)


if __name__ == "__main__":
							import doctest

							doctest.testmod()



'''simple docstring'''

def lowerCamelCase      (      lowerCAmelCase    :     str		,		lowerCAmelCase    :     Any		,		lowerCAmelCase    :     Any=False		):





	"""simple docstring"""







	if isinstance(lowerCAmelCase		,		lowerCAmelCase		) and isinstance(lowerCAmelCase		,		lowerCAmelCase		):
		__magic_name__	:   str					     =					len(set_a.intersection(lowerCAmelCase		)		)

		if alternative_union:
			__magic_name__	:   List[str]					     =					len(lowerCAmelCase		) + len(lowerCAmelCase		)
		else:
			__magic_name__	:   Any					     =					len(set_a.union(lowerCAmelCase		)		)

		return intersection / union

	if isinstance(lowerCAmelCase		,		(list, tuple)		) and isinstance(lowerCAmelCase		,		(list, tuple)		):
		__magic_name__	:   str					     =					[element for element in set_a if element in set_b]

		if alternative_union:
			__magic_name__	:   Dict					     =					len(lowerCAmelCase		) + len(lowerCAmelCase		)
			return len(lowerCAmelCase		) / union
		else:
			__magic_name__	:   Any					     =					set_a + [element for element in set_b if element not in set_a]
			return len(lowerCAmelCase		) / len(lowerCAmelCase		)

		return len(lowerCAmelCase		) / len(lowerCAmelCase		)
	return None


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