



'''simple docstring'''






import random




def     snake_case_					(     lowerCAmelCase_       ,   lowerCAmelCase_       ,   lowerCAmelCase_ = False		)->		Optional[int]:





       '''simple docstring'''


       _UpperCAmelCase  :						dict			     = {i: [] for i in range(_a		)}

       # if probability is greater or equal than 1, then generate a complete graph
       if probability >= 1:
              return complete_graph(_a		)
       # if probability is lower or equal than 0, then return a graph without edges
       if probability <= 0:
              return graph

       # for each couple of nodes, add an edge from u to v
       # if the number randomly generated is greater than probability probability
       for i in range(_a		):
              for j in range(i + 1       ,   _a		):
                     if random.random() < probability:
                            graph[i].append(_a		)
                            if not directed:
                                   # if the graph is undirected, add an edge in from j to i, either
                                   graph[j].append(_a		)
       return graph




def     snake_case_					(     lowerCAmelCase_		)->		List[str]:





       '''simple docstring'''


       return {
           i: [j for j in range(_a		) if i != j] for i in range(_a		)
       }


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))





