




from __future__ import annotations

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

_lowerCamelCase							=      TypeVar('''T''')
_lowerCamelCase							=      TypeVar('''U''')


class        UpperCAmelCase__				(							Generic[T, U]				):



     '''simple docstring'''
     def __init__(				self ,    _lowerCAmelCase ,    _lowerCAmelCase	):
            a			   =key
            a			   =val
            a			   =0
            a			   =None
            a			   =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        UpperCAmelCase__				(							Generic[T, U]				):



     '''simple docstring'''
     def __init__(				self	):
            a			   =DoubleLinkedListNode(_lowerCAmelCase ,    _lowerCAmelCase	)
            a			   =DoubleLinkedListNode(_lowerCAmelCase ,    _lowerCAmelCase	)
            a   ,      a			   =self.rear, self.head
     def __repr__(				self	):
            a			   =["""DoubleLinkedList"""]
            a			   =self.head
            while node.next is not None:
                   rep.append(str(_lowerCAmelCase	)	)
                   a			   =node.next
            rep.append(str(self.rear	)	)
            return ",\n    ".join(_lowerCAmelCase	)
     def        lowerCAmelCase__  (				self ,    _lowerCAmelCase	):
            a			   =self.rear.prev

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

            a			   =node
            a			   =previous
            a			   =node
            a			   =self.rear
            node.freq += 1
            self._position_node(_lowerCAmelCase	)
     def        lowerCAmelCase__  (				self ,    _lowerCAmelCase	):

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

                   a			   =previous_node.prev
                   a			   =node.prev
                   a			   =previous_node
                   a			   =node






     def        lowerCAmelCase__  (				self ,    _lowerCAmelCase	):

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

            a			   =node.next
            a			   =node.prev
            a			   =None
            a			   =None
            return node



class        UpperCAmelCase__				(							Generic[T, U]				):



     '''simple docstring'''
     _SCREAMING_SNAKE_CASE      :					dict[Callable[[T], U], LFUCache[T, U]]     					=    {}
     def __init__(				self ,    _lowerCAmelCase	):
            a			   =DoubleLinkedList()
            a			   =capacity
            a			   =0
            a			   =0
            a			   =0
            a			   ={}
     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        lowerCAmelCase__  (				self ,    _lowerCAmelCase	):

            if key in self.cache:
                   self.hits += 1
                   a			   =self.cache[key]
                   a			   =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        lowerCAmelCase__  (				self ,    _lowerCAmelCase ,    _lowerCAmelCase	):

            if key not in self.cache:
                   if self.num_keys >= self.capacity:
                          # delete first node when over capacity
                          a			   =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
                   a			   =DoubleLinkedListNode(_lowerCAmelCase ,    _lowerCAmelCase	)
                   self.list.add(self.cache[key]	)
                   self.num_keys += 1

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






     @classmethod
     def        lowerCAmelCase__  (				cls ,    _lowerCAmelCase = 128	):

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

                          a			   =cls.decorator_function_to_instance_map[func].get(args[0]	)
                          if result is None:
                                 a			   =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()






from __future__ import annotations

from typing import Any


class        UpperCAmelCase__				:



     '''simple docstring'''
     def __init__(				self ,    _lowerCAmelCase ,    _lowerCAmelCase	):  # noqa: A002
            a			   =item
            a			   =next



class        UpperCAmelCase__				:



     '''simple docstring'''
     def __init__(				self	):
            a			   =None
            a			   =0
     def        lowerCAmelCase__  (				self ,    _lowerCAmelCase	):
            a			   =Node(_lowerCAmelCase ,    self.head	)
            self.size += 1
     def        lowerCAmelCase__  (				self	):
            # Switched 'self.is_empty()' to 'self.head is None'
            # because mypy was considering the possibility that 'self.head'
            # can be None in below else part and giving error
            if self.head is None:
                   return None
            else:
                   a			   =self.head.item
                   a			   =self.head.next
                   self.size -= 1
                   return item
     def        lowerCAmelCase__  (				self	):
            return self.head is None
     def __str__(				self	):
            if self.is_empty():
                   return ""
            else:
                   a			   =self.head
                   a			   =""""""
                   a			   =[]
                   while iterate:
                          item_list.append(str(iterate.item	)	)
                          a			   =iterate.next

                   a			   =""" --> """.join(_lowerCAmelCase	)

                   return item_str






     def __len__(				self	):
            return self.size
