


class    __magic_name__						:


     def __init__(   self				:  Optional[int]				,						lowerCamelCase__				:  Any      )	->   str:





      '''simple docstring'''






      UpperCamelCase__       :     str 							= data
      UpperCamelCase__       :     Union[str, Any] 							= None
      UpperCamelCase__       :     Optional[Any] 							= None


     def __str__(   self				:  List[str]      )	->   Union[str, Any]:





      '''simple docstring'''






      return F"{self.data}"



class    __magic_name__						:


     def __init__(   self				:  int      )	->   Optional[Any]:





      '''simple docstring'''






      UpperCamelCase__       :     Optional[Any] 							= None
      UpperCamelCase__       :     Tuple 							= None


     def __iter__(   self				:  int      )	->   Any:





      '''simple docstring'''






      UpperCamelCase__       :     Optional[Any] 							= self.head
      while node:
       yield node.data
       UpperCamelCase__       :     int 							= node.next


     def __str__(   self				:  Optional[int]      )	->   List[Any]:





      '''simple docstring'''






      return "->".join([str(_SCREAMING_SNAKE_CASE      ) for item in self]      )


     def __len__(   self				:  List[Any]      )	->   Dict:





      '''simple docstring'''






      return sum(1 for _ in self      )


     def   UpperCAmelCase__						(   self				:  List[str]				,						lowerCamelCase__				:  Any      )	->   str:





      '''simple docstring'''






      self.insert_at_nth(0				,						_SCREAMING_SNAKE_CASE      )


     def   UpperCAmelCase__						(   self				:  List[str]				,						lowerCamelCase__				:  Tuple      )	->   Any:





      '''simple docstring'''






      self.insert_at_nth(len(self      )				,						_SCREAMING_SNAKE_CASE      )


     def   UpperCAmelCase__						(   self				:  Tuple				,						lowerCamelCase__				:  List[Any]				,						lowerCamelCase__				:  Optional[int]      )	->   Optional[int]:





      '''simple docstring'''






      UpperCamelCase__       :     Optional[Any] 							= len(self      )

      if not 0 <= index <= length:
       raise IndexError('''list index out of range'''      )
      UpperCamelCase__       :     List[Any] 							= Node(_SCREAMING_SNAKE_CASE      )
      if self.head is None:
       UpperCamelCase__       :     Optional[Any] 							= new_node
      elif index == 0:
       UpperCamelCase__       :     Optional[Any] 							= new_node
       UpperCamelCase__       :     Dict 							= self.head
       UpperCamelCase__       :     Tuple 							= new_node
      elif index == length:
       UpperCamelCase__       :     Tuple 							= new_node
       UpperCamelCase__       :     Optional[Any] 							= self.tail
       UpperCamelCase__       :     Any 							= new_node
      else:
       UpperCamelCase__       :     Union[str, Any] 							= self.head
       for _ in range(0				,						_SCREAMING_SNAKE_CASE      ):
        UpperCamelCase__       :     Union[str, Any] 							= temp.next
       UpperCamelCase__       :     int 							= new_node
       UpperCamelCase__       :     str 							= temp.previous
       UpperCamelCase__       :     Union[str, Any] 							= temp
       UpperCamelCase__       :     List[Any] 							= new_node


     def   UpperCAmelCase__						(   self				:  Optional[int]      )	->   List[Any]:





      '''simple docstring'''






      return self.delete_at_nth(0      )


     def   UpperCAmelCase__						(   self				:  Union[str, Any]      )	->   List[str]:





      '''simple docstring'''






      return self.delete_at_nth(len(self      ) - 1      )


     def   UpperCAmelCase__						(   self				:  Dict				,						lowerCamelCase__				:  Optional[int]      )	->   Optional[int]:





      '''simple docstring'''






      UpperCamelCase__       :     List[Any] 							= len(self      )

      if not 0 <= index <= length - 1:
       raise IndexError('''list index out of range'''      )
      UpperCamelCase__       :     Any 							= self.head  # default first node
      if length == 1:
       UpperCamelCase__       :     Tuple 							= None
      elif index == 0:
       UpperCamelCase__       :     Union[str, Any] 							= self.head.next
       UpperCamelCase__       :     List[Any] 							= None
      elif index == length - 1:
       UpperCamelCase__       :     Optional[Any] 							= self.tail
       UpperCamelCase__       :     Any 							= self.tail.previous
       UpperCamelCase__       :     str 							= None
      else:
       UpperCamelCase__       :     Optional[Any] 							= self.head
       for _ in range(0				,						_SCREAMING_SNAKE_CASE      ):
        UpperCamelCase__       :     Dict 							= temp.next
       UpperCamelCase__       :     Tuple 							= temp
       UpperCamelCase__       :     str 							= temp.previous
       UpperCamelCase__       :     Tuple 							= temp.next
      return delete_node.data


     def   UpperCAmelCase__						(   self				:  Union[str, Any]				,						lowerCamelCase__				:  Tuple      )	->   str:





      '''simple docstring'''






      UpperCamelCase__       :     Optional[int] 							= self.head

      while current.data != data:  # Find the position to delete
       if current.next:
        UpperCamelCase__       :     int 							= current.next
       else:  # We have reached the end an no value matches
        raise ValueError('''No data matching given value'''      )

      if current == self.head:
       self.delete_head()

      elif current == self.tail:
       self.delete_tail()

      else:  # Before: 1 <--> 2(current) <--> 3
       UpperCamelCase__       :     List[str] 							= current.next  # 1 --> 3
       UpperCamelCase__       :     Optional[Any] 							= current.previous  # 1 <--> 3
      return data


     def   UpperCAmelCase__						(   self				:  Dict      )	->   int:





      '''simple docstring'''






      return len(self      ) == 0



def       _a	(					):







 """simple docstring"""



 UpperCamelCase__       :     Tuple 							= DoublyLinkedList()
 assert linked_list.is_empty() is True
 assert str(_A  ) == ""

 try:
  linked_list.delete_head()
  raise AssertionError  # This should not happen.
 except IndexError:
  assert True  # This should happen.

 try:
  linked_list.delete_tail()
  raise AssertionError  # This should not happen.
 except IndexError:
  assert True  # This should happen.

 for i in range(10  ):
  assert len(_A  ) == i
  linked_list.insert_at_nth(_A     ,			i + 1  )
 assert str(_A  ) == "->".join(str(_A  ) for i in range(1     ,			11  )  )

 linked_list.insert_at_head(0  )
 linked_list.insert_at_tail(11  )
 assert str(_A  ) == "->".join(str(_A  ) for i in range(0     ,			12  )  )

 assert linked_list.delete_head() == 0
 assert linked_list.delete_at_nth(9  ) == 10
 assert linked_list.delete_tail() == 11
 assert len(_A  ) == 9
 assert str(_A  ) == "->".join(str(_A  ) for i in range(1     ,			10  )  )


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

       testmod()





from __future__ import annotations




def        __UpperCamelCase     (      _A					:							int      ,  _A					:							list[int]      ,  _A					:							list[int]      ,  _A					:							int		)				->int:



							"""simple docstring"""

							# Base Case
							if counter == 0 or capacity == 0:
														return 0

							# If weight of the nth item is more than Knapsack of capacity,
							#   then this item cannot be included in the optimal solution,
							# else return the maximum of two cases:
							#   (1) nth item included
							#   (2) not included
							if weights[counter - 1] > capacity:
														return knapsack(_A      ,  _A      ,  _A      ,  counter - 1		)
							else:
														lowerCamelCase_								=capacity - weights[counter - 1]
														lowerCamelCase_								=values[counter - 1] + knapsack(
														    _A      ,  _A      ,  _A      ,  counter - 1		)
														lowerCamelCase_								=knapsack(_A      ,  _A      ,  _A      ,  counter - 1		)
														return max(_A      ,  _A		)


if __name__ == "__main__":
	import doctest

	doctest.testmod()
