



"""simple docstring"""

from __future__ import annotations




def __lowercase			(							_a    ):

    # preprocessing the first row
    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(_a    )    ):
        matrix[i][0] += matrix[i - 1][0]

    # updating the path cost for current position
    for i in range(1		,			len(_a    )    ):
        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()










"""simple docstring"""

def __lowercase			(							_a		,			_a		,			_a=False    ):

    if isinstance(_a		,			_a    ) and isinstance(_a		,			_a    ):
        snake_case_ :     Union[str, Any]				=	len(set_a.intersection(_a    )    )

        if alternative_union:
            snake_case_ :     Any				=	len(_a    ) + len(_a    )
        else:
            snake_case_ :     str				=	len(set_a.union(_a    )    )

        return intersection / union

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

        if alternative_union:
            snake_case_ :     Tuple				=	len(_a    ) + len(_a    )
            return len(_a    ) / union
        else:
            snake_case_ :     List[Any]				=	set_a + [element for element in set_b if element not in set_a]
            return len(_a    ) / len(_a    )

        return len(_a    ) / len(_a    )
    return None


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





