




'''simple docstring'''
from __future__ import annotations

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

_SCREAMING_SNAKE_CASE =	TypeVar("T")
_SCREAMING_SNAKE_CASE =	TypeVar("U")
class      __UpperCAmelCase							(    Generic[T, U]							):



					'''simple docstring'''





					def __init__(  self    :	List[str]			,					_lowercase    :	T | None			,					_lowercase    :	U | None)						->       List[str]:
								A_       		=   key
								A_       		=   val
								A_       		=   0
								A_       		=   None
								A_       		=   None



					def __repr__(  self    :	Optional[int])						->       str:
								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    :	int)						->       None:
								A_       		=   DoubleLinkedListNode(_lowercase			,					_lowercase)
								A_       		=   DoubleLinkedListNode(_lowercase			,					_lowercase)
								A_		,   A_       		=   self.rear, self.head



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



					def 						__snake_case	(  self    :	Optional[Any]			,					_lowercase    :	DoubleLinkedListNode[T, U])						->       None:
								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(_lowercase)



					def 						__snake_case	(  self    :	Optional[Any]			,					_lowercase    :	DoubleLinkedListNode[T, U])						->       None:

								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 						__snake_case	(  self    :	Any			,					_lowercase    :	DoubleLinkedListNode[T, U])						->       DoubleLinkedListNode[T, U] | None:

								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'''





					_UpperCamelCase  	=		{}



					def __init__(  self    :	List[str]			,					_lowercase    :	int)						->       List[str]:
								A_       		=   DoubleLinkedList()
								A_       		=   capacity
								A_       		=   0
								A_       		=   0
								A_       		=   0
								A_       		=   {}



					def __repr__(  self    :	Optional[Any])						->       str:
								return (
								    F'CacheInfo(hits={self.hits}, misses={self.miss}, '
								    F'capacity={self.capacity}, current_size={self.num_keys})'
								)



					def __contains__(  self    :	Optional[Any]			,					_lowercase    :	T)						->       bool:
								return key in self.cache



					def 						__snake_case	(  self    :	List[Any]			,					_lowercase    :	T)						->       U | None:

								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(_lowercase)
											return node.val
								self.miss += 1
								return None



					def 						__snake_case	(  self    :	Union[str, Any]			,					_lowercase    :	T			,					_lowercase    :	U)						->       None:

								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(_lowercase) is not None
														# first_node guaranteed to be in list

														del self.cache[first_node.key]
														self.num_keys -= 1
											A_       		=   DoubleLinkedListNode(_lowercase			,					_lowercase)
											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(_lowercase)



					@classmethod
					def 						__snake_case	(  cls    :	type[LFUCache[T, U]]			,					_lowercase    :	int = 128)						->       Callable[[Callable[[T], U]], Callable[..., U]]:

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

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

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

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

											return cache_decorator_wrapper

								return cache_decorator_inner


if __name__ == "__main__":
							import doctest

							doctest.testmod()










'''simple docstring'''
def  lowerCamelCase(       SCREAMING_SNAKE_CASE_    )		->		int:

			if not isinstance(SCREAMING_SNAKE_CASE_					,SCREAMING_SNAKE_CASE_    ) or number < 0:
						raise ValueError('Input must be a non-negative integer'    )

			A_       		=   number & ~(number - 1)
			A_       		=   0
			while intermediate:
						intermediate >>= 1
						index += 1
			return index - 1


if __name__ == "__main__":
							import doctest

							doctest.testmod(verbose=True)




