






"""simple docstring"""



from __future__ import annotations

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

_UpperCamelCase						:    str		=						TypeVar('T')
_UpperCamelCase						:    Any		=						TypeVar('U')

class 			a	(  Generic[T, U]      ):







    def __init__(     self				,						_lowerCamelCase				,						_lowerCamelCase			):
      lowercase				       =			key
      lowercase				       =			val
      lowercase				       =			0
      lowercase				       =			None
      lowercase				       =			None







    def __repr__(     self			):
      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 			a	(  Generic[T, U]      ):







    def __init__(     self			):
      lowercase				       =			DoubleLinkedListNode(_lowerCamelCase				,						_lowerCamelCase			)
      lowercase				       =			DoubleLinkedListNode(_lowerCamelCase				,						_lowerCamelCase			)
      lowercase				       =			self.rear, self.head







    def __repr__(     self			):
      lowercase				       =			['DoubleLinkedList']
      lowercase				       =			self.head
      while node.next is not None:
        rep.append(str(_lowerCamelCase			)			)
        lowercase				       =			node.next
      rep.append(str(self.rear			)			)
      return ",\n    ".join(_lowerCamelCase			)







    def      UpperCamelCase_ (     self				,						_lowerCamelCase			):
      lowercase				       =			self.rear.prev

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

      lowercase				       =			node
      lowercase				       =			previous
      lowercase				       =			node
      lowercase				       =			self.rear
      node.freq += 1
      self._position_node(_lowerCamelCase			)







    def      UpperCamelCase_ (     self				,						_lowerCamelCase			):

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

        lowercase				       =			previous_node.prev
        lowercase				       =			node.prev
        lowercase				       =			previous_node
        lowercase				       =			node







    def      UpperCamelCase_ (     self				,						_lowerCamelCase			):

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

      lowercase				       =			node.next
      lowercase				       =			node.prev
      lowercase				       =			None
      lowercase				       =			None
      return node


class 			a	(  Generic[T, U]      ):
    UpperCAmelCase_					:	Tuple      	={}







    def __init__(     self				,						_lowerCamelCase			):
      lowercase				       =			DoubleLinkedList()
      lowercase				       =			capacity
      lowercase				       =			0
      lowercase				       =			0
      lowercase				       =			0
      lowercase				       =			{}







    def __repr__(     self			):
      return (
          F'CacheInfo(hits={self.hits}, misses={self.miss}, '
          F'capacity={self.capacity}, current_size={self.num_keys})'
      )







    def __contains__(     self				,						_lowerCamelCase			):
      return key in self.cache







    def      UpperCamelCase_ (     self				,						_lowerCamelCase			):

      if key in self.cache:
        self.hits += 1
        lowercase				       =			self.cache[key]
        lowercase				       =			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(_lowerCamelCase			)
        return node.val
      self.miss += 1
      return None







    def      UpperCamelCase_ (     self				,						_lowerCamelCase				,						_lowerCamelCase			):

      if key not in self.cache:
        if self.num_keys >= self.capacity:
          # delete first node when over capacity
          lowercase				       =			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(_lowerCamelCase			) is not None
          # first_node guaranteed to be in list

          del self.cache[first_node.key]
          self.num_keys -= 1
        lowercase				       =			DoubleLinkedListNode(_lowerCamelCase				,						_lowerCamelCase			)
        self.list.add(self.cache[key]			)
        self.num_keys += 1

      else:
        lowercase				       =			self.list.remove(self.cache[key]			)
        assert node is not None  # node guaranteed to be in list
        lowercase				       =			value
        self.list.add(_lowerCamelCase			)







    @classmethod
    def      UpperCamelCase_ (     cls				,						_lowerCamelCase = 1_2_8			):

      def cache_decorator_inner(_lowerCamelCase			) -> Callable[..., U]:
        def cache_decorator_wrapper(*_lowerCamelCase			) -> U:
          if func not in cls.decorator_function_to_instance_map:
            lowercase				       =			LFUCache(_lowerCamelCase			)

          lowercase				       =			cls.decorator_function_to_instance_map[func].get(args[0]			)
          if result is None:
            lowercase				       =			func(*_lowerCamelCase			)
            cls.decorator_function_to_instance_map[func].put(args[0]				,						_lowerCamelCase			)
          return result

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

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

        return cache_decorator_wrapper

      return cache_decorator_inner


if __name__ == "__main__":
    import doctest

    doctest.testmod()







"""simple docstring"""




from __future__ import annotations

from typing import Generic, TypeVar

_UpperCamelCase:					str     				=	TypeVar('T')


class 	a__		(    Generic[T]  ):


   def __init__(				self   :				Optional[int],  lowerCAmelCase   :				T      )     ->							List[Any]:
         lowercase	:   Optional[int]											= data  # Assign data
         lowercase	:   Node[T] | None											= None  # Initialize next as null
         lowercase	:   Node[T] | None											= None  # Initialize prev as null




class 	a__		(    Generic[T]  ):


   def __init__(				self   :				Optional[int]      )     ->							None:
         lowercase	:   Node[T] | None											= None


   def 							lowercase					(				self   :				Any,  lowerCAmelCase   :				T      )     ->							None:
         if self.head is None:
               lowercase	:   Tuple											= Node(lowerCAmelCase      )
         else:
               lowercase	:   Dict											= Node(lowerCAmelCase      )
               lowercase	:   str											= new_node
               lowercase	:   int											= self.head
               lowercase	:   List[str]											= None
               lowercase	:   List[str]											= new_node


   def 							lowercase					(				self   :				Dict      )     ->							T | None:
         if self.head is None:
               return None
         else:
               assert self.head is not None
               lowercase	:   Optional[int]											= self.head.data
               lowercase	:   Any											= self.head.next
               if self.head is not None:
                     lowercase	:   Optional[Any]											= None
               return temp


   def 							lowercase					(				self   :				List[Any]      )     ->							T | None:
         return self.head.data if self.head is not None else None


   def __len__(				self   :				int      )     ->							int:
         lowercase	:   Any											= self.head
         lowercase	:   List[Any]											= 0
         while temp is not None:
               count += 1
               lowercase	:   Any											= temp.next
         return count


   def 							lowercase					(				self   :				List[Any]      )     ->							bool:
         return self.head is None






   def 							lowercase					(				self   :				Optional[int]      )     ->							None:
         print('stack elements are:'      )
         lowercase	:   Optional[int]											= self.head
         while temp is not None:
               print(temp.data,  end='->'      )
               lowercase	:   List[str]											= temp.next


# Code execution starts here
if __name__ == "__main__":
     # Start with the empty stack
     _UpperCamelCase:					Stack[int]     				=	Stack()

     # Insert 4 at the beginning. So stack becomes 4->None
     print('Stack operations using Doubly LinkedList')
     stack.push(4)

     # Insert 5 at the beginning. So stack becomes 4->5->None
     stack.push(5)

     # Insert 6 at the beginning. So stack becomes 4->5->6->None
     stack.push(6)

     # Insert 7 at the beginning. So stack becomes 4->5->6->7->None
     stack.push(7)

     # Print the stack
     stack.print_stack()

     # Print the top element
     print('\nTop element is ', stack.top())

     # Print the stack size
     print('Size of the stack is ', len(stack))

     # pop the top element
     stack.pop()

     # pop the top element
     stack.pop()

     # two elements have now been popped off
     stack.print_stack()

     # Print True if the stack is empty else False
     print('\nstack is empty:', stack.is_empty())
