


"""simple docstring"""







class 						_A  :







    """simple docstring"""




    def __init__( self    :   Optional[Any]    ,			__UpperCAmelCase    :   str    ,			__UpperCAmelCase    :   Union[str, Any]=None    ,			__UpperCAmelCase    :   Union[str, Any]=None):
      a						:		int											=      data
      a						:		int											=      previous
      a						:		Union[str, Any]											=      next_node






    def __str__( self    :   Optional[Any]):
      return f'''{self.data}'''






    def      __snake_case							( self    :   str):
      return self.data






    def      __snake_case							( self    :   Optional[Any]):
      return self.next






    def      __snake_case							( self    :   Tuple):
      return self.previous






class 						_A  :







    """simple docstring"""




    def __init__( self    :   Union[str, Any]    ,			__UpperCAmelCase    :   Dict):
      a						:		int											=      head






    def __iter__( self    :   Union[str, Any]):
      return self






    def      __snake_case							( self    :   Union[str, Any]):
      if not self.current:
        raise StopIteration
      else:
        a						:		List[str]											=      self.current.get_data()
        a						:		int											=      self.current.get_next()
        return value






class 						_A  :







    """simple docstring"""




    def __init__( self    :   List[Any]):
      a						:		Optional[Any]											=      None  # First node in list
      a						:		List[str]											=      None  # Last node in list






    def __str__( self    :   Union[str, Any]):
      a						:		Tuple											=      self.head
      a						:		Optional[int]											=      []
      while current is not None:
        nodes.append(current.get_data())
        a						:		Any											=      current.get_next()
      return " ".join(str(__UpperCAmelCase) for node in nodes)






    def __contains__( self    :   Any    ,			__UpperCAmelCase    :   Dict):
      a						:		List[Any]											=      self.head
      while current:
        if current.get_data() == value:
          return True
        a						:		Optional[Any]											=      current.get_next()
      return False






    def __iter__( self    :   Dict):
      return LinkedListIterator(self.head)






    def      __snake_case							( self    :   Tuple):
      if self.head:
        return self.head.get_data()
      return None






    def      __snake_case							( self    :   List[Any]):
      if self.tail:
        return self.tail.get_data()
      return None






    def      __snake_case							( self    :   str    ,			__UpperCAmelCase    :   List[str]):
      if self.head is None:
        a						:		str											=      node
        a						:		List[str]											=      node
      else:
        self.insert_before_node(self.head    ,			__UpperCAmelCase)






    def      __snake_case							( self    :   Tuple    ,			__UpperCAmelCase    :   Any):
      if self.head is None:
        self.set_head(__UpperCAmelCase)
      else:
        self.insert_after_node(self.tail    ,			__UpperCAmelCase)






    def      __snake_case							( self    :   List[Any]    ,			__UpperCAmelCase    :   str):
      a						:		Optional[int]											=      Node(__UpperCAmelCase)
      if self.head is None:
        self.set_head(__UpperCAmelCase)
      else:
        self.set_tail(__UpperCAmelCase)






    def      __snake_case							( self    :   Optional[int]    ,			__UpperCAmelCase    :   Dict    ,			__UpperCAmelCase    :   Dict):
      a						:		Tuple											=      node
      a						:		List[Any]											=      node.previous

      if node.get_previous() is None:
        a						:		str											=      node_to_insert
      else:
        a						:		Optional[Any]											=      node_to_insert

      a						:		List[Any]											=      node_to_insert






    def      __snake_case							( self    :   Tuple    ,			__UpperCAmelCase    :   str    ,			__UpperCAmelCase    :   Tuple):
      a						:		List[str]											=      node
      a						:		Union[str, Any]											=      node.next

      if node.get_next() is None:
        a						:		Dict											=      node_to_insert
      else:
        a						:		Any											=      node_to_insert

      a						:		List[str]											=      node_to_insert






    def      __snake_case							( self    :   str    ,			__UpperCAmelCase    :   List[Any]    ,			__UpperCAmelCase    :   Dict):
      a						:		Optional[Any]											=      1
      a						:		Optional[Any]											=      Node(__UpperCAmelCase)
      a						:		Optional[Any]											=      self.head
      while node:
        if current_position == position:
          self.insert_before_node(__UpperCAmelCase    ,			__UpperCAmelCase)
          return
        current_position += 1
        a						:		int											=      node.next
      self.insert_after_node(self.tail    ,			__UpperCAmelCase)






    def      __snake_case							( self    :   Optional[int]    ,			__UpperCAmelCase    :   int):
      a						:		Dict											=      self.head
      while node:
        if node.get_data() == item:
          return node
        a						:		List[str]											=      node.get_next()
      raise Exception("Node not found")






    def      __snake_case							( self    :   Optional[Any]    ,			__UpperCAmelCase    :   Optional[Any]):
      if (node := self.get_node(__UpperCAmelCase)) is not None:
        if node == self.head:
          a						:		Optional[int]											=      self.head.get_next()

        if node == self.tail:
          a						:		Union[str, Any]											=      self.tail.get_previous()

        self.remove_node_pointers(__UpperCAmelCase)






    @staticmethod
    def      __snake_case							( __UpperCAmelCase    :   Any):
      if node.get_next():
        a						:		Optional[Any]											=      node.previous

      if node.get_previous():
        a						:		int											=      node.next

      a						:		Tuple											=      None
      a						:		Union[str, Any]											=      None






    def      __snake_case							( self    :   List[str]):
      return self.head is None






def 					lowercase      (    )->				int:
  '''simple docstring'''














if __name__ == "__main__":
 import doctest

 doctest.testmod()










"""simple docstring"""







def 					lowercase      (    A_  ,       A_	)->				float:
  '''simple docstring'''







  def get_matched_characters(A_  ,       A_	) -> str:
    a						:		Optional[int]											=      []
    a						:		List[Any]											=      min(len(_stra	)  ,       len(_stra	)	) // 2
    for i, l in enumerate(_stra	):
      a						:		int											=      int(max(0  ,       i - limit	)	)
      a						:		Optional[int]											=      int(min(i + limit + 1  ,       len(_stra	)	)	)
      if l in _stra[left:right]:
        matched.append(A_	)
        a						:		int											=      F'''{_stra[0:_stra.index(A_	)]} {_stra[_stra.index(A_	) + 1:]}'''

    return "".join(A_	)

  # matching characters
  a						:		Tuple											=      get_matched_characters(A_  ,       A_	)
  a						:		str											=      get_matched_characters(A_  ,       A_	)
  a						:		List[str]											=      len(A_	)

  # transposition
  a						:		Union[str, Any]											=      (
      len([(ca, ca) for ca, ca in zip(A_  ,       A_	) if ca != ca]	) // 2
  )

  if not match_count:
    a						:		Tuple											=      0.0
  else:
    a						:		List[str]											=      (
        1
        / 3
        * (
            match_count / len(A_	)
            + match_count / len(A_	)
            + (match_count - transpositions) / match_count
        )
    )

  # common prefix up to 4 characters
  a						:		Union[str, Any]											=      0
  for ca, ca in zip(stra[:4]  ,       stra[:4]	):
    if ca == ca:
      prefix_len += 1
    else:
      break

  return jaro + 0.1 * prefix_len * (1 - jaro)


if __name__ == "__main__":
 import doctest

 doctest.testmod()
 print(jaro_winkler("""hello""", """world"""))






