




'''simple docstring'''


class 						lowerCAmelCase_	:







  '''simple docstring'''

  def __init__( self				:							int					,  SCREAMING_SNAKE_CASE_				:							List[Any]	)			->		List[Any]:







       '''simple docstring'''



       A:		List[str]          =		data
       A:		Any          =		None
       A:		Tuple          =		None




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







       '''simple docstring'''



       return f"""{self.data}"""






class 						lowerCAmelCase_	:







  '''simple docstring'''

  def __init__( self				:							str	)			->		int:







       '''simple docstring'''



       A:		Any          =		None
       A:		List[str]          =		None



  def __iter__( self				:							int	)			->		Union[str, Any]:







       '''simple docstring'''



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



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







       '''simple docstring'''



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



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







       '''simple docstring'''



       return sum(1 for _ in self	)



  def 					_snake_case     ( self				:							Dict					,  SCREAMING_SNAKE_CASE_				:							List[str]	)			->		Tuple:







       '''simple docstring'''



       self.insert_at_nth(0					,  SCREAMING_SNAKE_CASE_	)



  def 					_snake_case     ( self				:							Union[str, Any]					,  SCREAMING_SNAKE_CASE_				:							Optional[int]	)			->		List[str]:







       '''simple docstring'''



       self.insert_at_nth(len(self	)					,  SCREAMING_SNAKE_CASE_	)



  def 					_snake_case     ( self				:							Optional[int]					,  SCREAMING_SNAKE_CASE_				:							int					,  SCREAMING_SNAKE_CASE_				:							List[str]	)			->		Optional[Any]:







       '''simple docstring'''



       A:		int          =		len(self	)

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



  def 					_snake_case     ( self				:							int	)			->		Any:







       '''simple docstring'''



       return self.delete_at_nth(0	)



  def 					_snake_case     ( self				:							Dict	)			->		Dict:







       '''simple docstring'''



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



  def 					_snake_case     ( self				:							int					,  SCREAMING_SNAKE_CASE_				:							int	)			->		Union[str, Any]:







       '''simple docstring'''



       A:		Any          =		len(self	)

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



  def 					_snake_case     ( self				:							Any					,  SCREAMING_SNAKE_CASE_				:							Optional[int]	)			->		str:







       '''simple docstring'''



       A:		Dict          =		self.head

       while current.data != data:  # Find the position to delete
            if current.next:
                 A:		List[str]          =		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
            A:		Any          =		current.next  # 1 --> 3
            A:		List[Any]          =		current.previous  # 1 <--> 3
       return data




  def 					_snake_case     ( self				:							int	)			->		str:







       '''simple docstring'''



       return len(self	) == 0






def 					SCREAMING_SNAKE_CASE(   )			-> None:
     A:		str          =		DoublyLinkedList()
     assert linked_list.is_empty() is True
     assert str(__lowercase	) == ""

     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(1_0	):
          assert len(__lowercase	) == i
          linked_list.insert_at_nth(__lowercase		,				i + 1	)
     assert str(__lowercase	) == "->".join(str(__lowercase	) for i in range(1		,				1_1	)	)

     linked_list.insert_at_head(0	)
     linked_list.insert_at_tail(1_1	)
     assert str(__lowercase	) == "->".join(str(__lowercase	) for i in range(0		,				1_2	)	)

     assert linked_list.delete_head() == 0
     assert linked_list.delete_at_nth(9	) == 1_0
     assert linked_list.delete_tail() == 1_1
     assert len(__lowercase	) == 9
     assert str(__lowercase	) == "->".join(str(__lowercase	) for i in range(1		,				1_0	)	)


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

     testmod()












'''simple docstring'''


from __future__ import annotations

from collections.abc import Callable
from typing import Generic, TypeVar

UpperCamelCase			     =					TypeVar('''T''')
UpperCamelCase			     =					TypeVar('''U''')






class 						lowerCAmelCase_	(       Generic[T, U]							):







  '''simple docstring'''

  def __init__( self				:							Tuple					,  SCREAMING_SNAKE_CASE_				:							T | None					,  SCREAMING_SNAKE_CASE_				:							U | None	)			->		Any:







       '''simple docstring'''



       A:		Union[str, Any]          =		key
       A:		Union[str, Any]          =		val
       A:		int          =		0
       A:		DoubleLinkedListNode[T, U] | None          =		None
       A:		DoubleLinkedListNode[T, U] | None          =		None




  def __repr__( self				:							Any	)			->		str:







       '''simple docstring'''



       return "Node: key: {}, val: {}, freq: {}, has next: {}, has prev: {}".format(
           self.key					,  self.val					,  self.freq					,  self.next is not None					,  self.prev is not None	)






class 						lowerCAmelCase_	(       Generic[T, U]							):







  '''simple docstring'''

  def __init__( self				:							int	)			->		None:







       '''simple docstring'''



       A:		DoubleLinkedListNode[T, U]          =		DoubleLinkedListNode(SCREAMING_SNAKE_CASE_					,  SCREAMING_SNAKE_CASE_	)
       A:		DoubleLinkedListNode[T, U]          =		DoubleLinkedListNode(SCREAMING_SNAKE_CASE_					,  SCREAMING_SNAKE_CASE_	)
       A     ,    A:		Any          =		self.rear, self.head



  def __repr__( self				:							Optional[int]	)			->		str:







       '''simple docstring'''



       A:		int          =		['''DoubleLinkedList''']
       A:		Dict          =		self.head
       while node.next is not None:
            rep.append(str(SCREAMING_SNAKE_CASE_	)	)
            A:		int          =		node.next
       rep.append(str(self.rear	)	)
       return ",\n    ".join(SCREAMING_SNAKE_CASE_	)



  def 					_snake_case     ( self				:							Any					,  SCREAMING_SNAKE_CASE_				:							DoubleLinkedListNode[T, U]	)			->		None:







       '''simple docstring'''



       A:		Union[str, Any]          =		self.rear.prev

       # All nodes other than self.head are guaranteed to have non-None previous
       assert previous is not None

       A:		Optional[int]          =		node
       A:		int          =		previous
       A:		Dict          =		node
       A:		int          =		self.rear
       node.freq += 1
       self._position_node(SCREAMING_SNAKE_CASE_	)



  def 					_snake_case     ( self				:							int					,  SCREAMING_SNAKE_CASE_				:							DoubleLinkedListNode[T, U]	)			->		None:







       '''simple docstring'''



       while node.prev is not None and node.prev.freq > node.freq:
            # swap node with previous node
            A:		Any          =		node.prev

            A:		Optional[Any]          =		previous_node.prev
            A:		int          =		node.prev
            A:		int          =		previous_node
            A:		Optional[int]          =		node




  def 					_snake_case     ( self				:							Dict					,  SCREAMING_SNAKE_CASE_				:							DoubleLinkedListNode[T, U]	)			->		DoubleLinkedListNode[T, U] | None:







       '''simple docstring'''



       if node.prev is None or node.next is None:
            return None

       A:		List[Any]          =		node.next
       A:		Dict          =		node.prev
       A:		str          =		None
       A:		Union[str, Any]          =		None
       return node






class 						lowerCAmelCase_	(       Generic[T, U]							):







  '''simple docstring'''

  UpperCamelCase_			:      dict[Callable[[T], U], LFUCache[T, U]]										=				{}



  def __init__( self				:							List[str]					,  SCREAMING_SNAKE_CASE_				:							int	)			->		int:







       '''simple docstring'''



       A:		DoubleLinkedList[T, U]          =		DoubleLinkedList()
       A:		Any          =		capacity
       A:		List[Any]          =		0
       A:		Dict          =		0
       A:		Dict          =		0
       A:		dict[T, DoubleLinkedListNode[T, U]]          =		{}



  def __repr__( self				:							Optional[int]	)			->		str:







       '''simple docstring'''



       return (
           f"""CacheInfo(hits={self.hits}, misses={self.miss}, """
           f"""capacity={self.capacity}, current_size={self.num_keys})"""
       )



  def __contains__( self				:							str					,  SCREAMING_SNAKE_CASE_				:							T	)			->		bool:







       '''simple docstring'''



       return key in self.cache



  def 					_snake_case     ( self				:							Dict					,  SCREAMING_SNAKE_CASE_				:							T	)			->		U | None:







       '''simple docstring'''



       if key in self.cache:
            self.hits += 1
            A:		DoubleLinkedListNode[T, U]          =		self.cache[key]
            A:		List[str]          =		self.list.remove(self.cache[key]	)
            assert node == value_node

            # node is guaranteed not None because it is in self.cache
            assert node is not None
            self.list.add(SCREAMING_SNAKE_CASE_	)
            return node.val
       self.miss += 1
       return None



  def 					_snake_case     ( self				:							List[str]					,  SCREAMING_SNAKE_CASE_				:							T					,  SCREAMING_SNAKE_CASE_				:							U	)			->		None:







       '''simple docstring'''



       if key not in self.cache:
            if self.num_keys >= self.capacity:
                 # delete first node when over capacity
                 A:		List[Any]          =		self.list.head.next

                 # guaranteed to have a non-None first node when num_keys > 0
                 # explain to type checker via assertions
                 assert first_node is not None
                 assert first_node.key is not None
                 assert self.list.remove(SCREAMING_SNAKE_CASE_	) is not None
                 # first_node guaranteed to be in list

                 del self.cache[first_node.key]
                 self.num_keys -= 1
            A:		Tuple          =		DoubleLinkedListNode(SCREAMING_SNAKE_CASE_					,  SCREAMING_SNAKE_CASE_	)
            self.list.add(self.cache[key]	)
            self.num_keys += 1

       else:
            A:		Optional[Any]          =		self.list.remove(self.cache[key]	)
            assert node is not None  # node guaranteed to be in list
            A:		List[str]          =		value
            self.list.add(SCREAMING_SNAKE_CASE_	)




  @classmethod
  def 					_snake_case     ( cls				:							type[LFUCache[T, U]]					,  SCREAMING_SNAKE_CASE_				:							int = 1_28	)			->		Callable[[Callable[[T], U]], Callable[..., U]]:







       '''simple docstring'''



       def cache_decorator_inner(SCREAMING_SNAKE_CASE_				:							Callable[[T], U]	) -> Callable[..., U]:
            def cache_decorator_wrapper(*SCREAMING_SNAKE_CASE_				:							T	) -> U:
                 if func not in cls.decorator_function_to_instance_map:
                      A:		Tuple          =		LFUCache(SCREAMING_SNAKE_CASE_	)

                 A:		List[Any]          =		cls.decorator_function_to_instance_map[func].get(args[0]	)
                 if result is None:
                      A:		List[str]          =		func(*SCREAMING_SNAKE_CASE_	)
                      cls.decorator_function_to_instance_map[func].put(args[0]					,  SCREAMING_SNAKE_CASE_	)
                 return result

            def cache_info() -> LFUCache[T, U]:
                 return cls.decorator_function_to_instance_map[func]

            setattr(SCREAMING_SNAKE_CASE_					,  '''cache_info'''					,  SCREAMING_SNAKE_CASE_	)  # noqa: B010

            return cache_decorator_wrapper

       return cache_decorator_inner


if __name__ == "__main__":
     import doctest

     doctest.testmod()






