
"""simple docstring"""




import math


def     __magic_name__      ( __snake_case							:			float	,					__snake_case							:			float    )					->							float:
       return math.pow(__snake_case	,					2    ) - a


def     __magic_name__      ( __snake_case							:			float    )					->							float:
       return 2 * x


def     __magic_name__      ( __snake_case							:			float    )					->							float:
       lowercase       :							Optional[Any]									=				2.0

       while start <= a:
              lowercase       :							Any									=				math.pow(__snake_case	,					2    )

       return start


def     __magic_name__      ( __snake_case							:			float	,					__snake_case							:			int = 9999	,					__snake_case							:			float = 0.00_00_00_00_00_00_01    )					->							float:

       if a < 0:
              raise ValueError("math domain error"    )

       lowercase       :							List[Any]									=				get_initial_point(__snake_case    )

       for _ in range(__snake_case    ):
              lowercase       :							Union[str, Any]									=				value
              lowercase       :							Dict									=				value - fx(__snake_case	,					__snake_case    ) / fx_derivative(__snake_case    )
              if abs(prev_value - value    ) < tolerance:
                     return value

       return value


if __name__ == "__main__":
   from doctest import testmod

   testmod()




"""simple docstring"""




def     __magic_name__      ( __snake_case							:			Any	,					__snake_case							:			Union[str, Any]	,					__snake_case							:			Union[str, Any]=False    )					->							Optional[Any]:

       if isinstance(__snake_case	,					__snake_case    ) and isinstance(__snake_case	,					__snake_case    ):
              lowercase       :							Tuple									=				len(set_a.intersection(__snake_case    )    )

              if alternative_union:
                     lowercase       :							Union[str, Any]									=				len(__snake_case    ) + len(__snake_case    )
              else:
                     lowercase       :							Optional[Any]									=				len(set_a.union(__snake_case    )    )

              return intersection / union

       if isinstance(__snake_case	,					(list, tuple)    ) and isinstance(__snake_case	,					(list, tuple)    ):
              lowercase       :							Tuple									=				[element for element in set_a if element in set_b]

              if alternative_union:
                     lowercase       :							List[str]									=				len(__snake_case    ) + len(__snake_case    )
                     return len(__snake_case    ) / union
              else:
                     lowercase       :							Dict									=				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__":
   _A     :			List[str]  						=			{"""a""", """b""", """c""", """d""", """e"""}
   _A     :			Dict  						=			{"""c""", """d""", """e""", """f""", """h""", """i"""}
   print(jaccard_similarity(set_a, set_b))


