


'''simple docstring'''







def _UpperCamelCase       (     __A      ,			__A      ,			__A=False    )							->		int:


      '''simple docstring'''



      if isinstance(__A      ,			__A    ) and isinstance(__A      ,			__A    ):
            UpperCamelCase__										=				len(set_a.intersection(__A    )    )

            if alternative_union:
                  UpperCamelCase__										=				len(__A    ) + len(__A    )
            else:
                  UpperCamelCase__										=				len(set_a.union(__A    )    )

            return intersection / union

      if isinstance(__A      ,			(list, tuple)    ) and isinstance(__A      ,			(list, tuple)    ):
            UpperCamelCase__										=				[element for element in set_a if element in set_b]

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







"""simple docstring"""





from __future__ import annotations







def 	__a     (		__lowerCamelCase,		__lowerCamelCase  ):
   UpperCAmelCase_     ,   UpperCAmelCase_					:					str			     =    set(__lowerCamelCase  ), [start]

   while stack:
      UpperCAmelCase_					:					Any			     =    stack.pop()
      explored.add(__lowerCamelCase  )
      # Differences from BFS:
      # 1) pop last element instead of first one
      # 2) add adjacent elements to stack without exploring them
      for adj in reversed(graph[v]  ):
         if adj not in explored:
            stack.append(__lowerCamelCase  )
   return explored


_a		       =							{
    'A': ['B', 'C', 'D'],
    'B': ['A', 'D', 'E'],
    'C': ['A', 'F'],
    'D': ['B', 'D'],
    'E': ['B', 'F'],
    'F': ['C', 'E', 'G'],
    'G': ['F'],
}

if __name__ == "__main__":
    import doctest

    doctest.testmod()
    print(depth_first_search(G, 'A'))


