


'''simple docstring'''
def 					a__       (					lowerCAmelCase__  ,					lowerCAmelCase__  ,					lowerCAmelCase__=False						)    ->	Tuple:

    if isinstance(lowerCAmelCase__  ,					lowerCAmelCase__						) and isinstance(lowerCAmelCase__  ,					lowerCAmelCase__						):
        UpperCAmelCase__			:		int													=				len(set_a.intersection(lowerCAmelCase__						)						)

        if alternative_union:
            UpperCAmelCase__			:		Optional[Any]													=				len(lowerCAmelCase__						) + len(lowerCAmelCase__						)
        else:
            UpperCAmelCase__			:		str													=				len(set_a.union(lowerCAmelCase__						)						)

        return intersection / union

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

        if alternative_union:
            UpperCAmelCase__			:		Optional[int]													=				len(lowerCAmelCase__						) + len(lowerCAmelCase__						)
            return len(lowerCAmelCase__						) / union
        else:
            UpperCAmelCase__			:		int													=				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__":
  UpperCamelCase__    					=      {'''a''', '''b''', '''c''', '''d''', '''e'''}
  UpperCamelCase__    					=      {'''c''', '''d''', '''e''', '''f''', '''h''', '''i'''}
  print(jaccard_similarity(set_a, set_b))




'''simple docstring'''
def 					a__       (					lowerCAmelCase__						)    ->	int:
    UpperCAmelCase__			:		Tuple													=				0
    while num > 0:
        digit_sum += num % 10
        num //= 10
    return digit_sum





def 					a__       (					lowerCAmelCase__ = 1_00						)    ->	int:
    UpperCAmelCase__			:		Dict													=				1
    UpperCAmelCase__			:		str													=				2

    for i in range(2  ,					max_n + 1						):
        UpperCAmelCase__			:		Tuple													=				pre_numerator
        UpperCAmelCase__			:		Tuple													=				2 * i // 3 if i % 3 == 0 else 1
        UpperCAmelCase__			:		str													=				cur_numerator
        UpperCAmelCase__			:		List[str]													=				e_cont * pre_numerator + temp

    return sum_digits(lowerCAmelCase__						)


if __name__ == "__main__":
  print(F"""{solution() = }""")
