code: 
  
  
  from __future__ import annotations
  
  from collections.abc import Callable
  from typing import Generic, TypeVar
  
  UpperCAmelCase      :						List[str]    =		TypeVar("T")
  UpperCAmelCase      :						Dict    =		TypeVar("U")
  
  
  
  
  
  
  
  class 					__lowercase					(       Generic[T, U]     ):
  
  
  
  		"""simple docstring"""
  
  		def __init__(   self		,			A		,			A  )     ->   Any:
  
  
  
  
  
  
  
  					'''simple docstring'''
  
  
  
  
  
  
  
  					lowerCamelCase								=     key
  					lowerCamelCase								=     val
  					lowerCamelCase								=     0
  					lowerCamelCase								=     None
  					lowerCamelCase								=     None
  
  
  
  
  
  
  
  		def __repr__(   self  )     ->   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 					__lowercase					(       Generic[T, U]     ):
  
  
  
  		"""simple docstring"""
  
  		def __init__(   self  )     ->   None:
  
  
  
  
  
  
  
  					'''simple docstring'''
  
  
  
  
  
  
  
  					lowerCamelCase								=     DoubleLinkedListNode(A		,			A  )
  					lowerCamelCase								=     DoubleLinkedListNode(A		,			A  )
  					lowerCamelCase		,		lowerCamelCase								=     self.rear, self.head
  
  
  
  
  
  
  
  		def __repr__(   self  )     ->   str:
  
  
  
  
  
  
  
  					'''simple docstring'''
  
  
  
  
  
  
  
  					lowerCamelCase								=     ["""DoubleLinkedList"""]
  					lowerCamelCase								=     self.head
  					while node.next is not None:
  								rep.append(str(A  )  )
  								lowerCamelCase								=     node.next
  					rep.append(str(self.rear  )  )
  					return ",\n    ".join(A  )
  
  
  
  
  
  
  
  		def 				__A      (   self		,			A  )     ->   None:
  
  
  
  
  
  
  
  					'''simple docstring'''
  
  
  
  
  
  
  
  					lowerCamelCase								=     self.rear.prev
  
  					# All nodes other than self.head are guaranteed to have non-None previous
  					assert previous is not None
  
  					lowerCamelCase								=     node
  					lowerCamelCase								=     previous
  					lowerCamelCase								=     node
  					lowerCamelCase								=     self.rear
  					node.freq += 1
  					self._position_node(A  )
  
  
  
  
  
  
  
  		def 				__A      (   self		,			A  )     ->   None:
  
  
  
  
  
  
  
  					'''simple docstring'''
  
  
  
  
  
  
  
  					while node.prev is not None and node.prev.freq > node.freq:
  								# swap node with previous node
  								lowerCamelCase								=     node.prev
  
  								lowerCamelCase								=     previous_node.prev
  								lowerCamelCase								=     node.prev
  								lowerCamelCase								=     previous_node
  								lowerCamelCase								=     node
  
  
  
  
  
  
  
  		def 				__A      (   self		,			A  )     ->   DoubleLinkedListNode[T, U] | None:
  
  
  
  
  
  
  
  					'''simple docstring'''
  
  
  
  
  
  
  
  					if node.prev is None or node.next is None:
  								return None
  
  					lowerCamelCase								=     node.next
  					lowerCamelCase								=     node.prev
  					lowerCamelCase								=     None
  					lowerCamelCase								=     None
  					return node
  
  
  
  
  
  
  
  class 					__lowercase					(       Generic[T, U]     ):
  
  
  
  		"""simple docstring"""
  
  		UpperCamelCase    :				dict[Callable[[T], U], LFUCache[T, U]] 					=		{}
  
  
  
  
  
  
  
  		def __init__(   self		,			A  )     ->   Union[str, Any]:
  
  
  
  
  
  
  
  					'''simple docstring'''
  
  
  
  
  
  
  
  					lowerCamelCase								=     DoubleLinkedList()
  					lowerCamelCase								=     capacity
  					lowerCamelCase								=     0
  					lowerCamelCase								=     0
  					lowerCamelCase								=     0
  					lowerCamelCase								=     {}
  
  
  
  
  
  
  
  		def __repr__(   self  )     ->   str:
  
  
  
  
  
  
  
  					'''simple docstring'''
  
  
  
  
  
  
  
  					return (
  					    F'CacheInfo(hits={self.hits}, misses={self.miss}, '
  					    F'capacity={self.capacity}, current_size={self.num_keys})'
  					)
  
  
  
  
  
  
  
  		def __contains__(   self		,			A  )     ->   bool:
  
  
  
  
  
  
  
  					'''simple docstring'''
  
  
  
  
  
  
  
  					return key in self.cache
  
  
  
  
  
  
  
  		def 				__A      (   self		,			A  )     ->   U | None:
  
  
  
  
  
  
  
  					'''simple docstring'''
  
  
  
  
  
  
  
  					if key in self.cache:
  								self.hits += 1
  								lowerCamelCase								=     self.cache[key]
  								lowerCamelCase								=     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(A  )
  								return node.val
  					self.miss += 1
  					return None
  
  
  
  
  
  
  
  		def 				__A      (   self		,			A		,			A  )     ->   None:
  
  
  
  
  
  
  
  					'''simple docstring'''
  
  
  
  
  
  
  
  					if key not in self.cache:
  								if self.num_keys >= self.capacity:
  											# delete first node when over capacity
  											lowerCamelCase								=     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(A  ) is not None
  											# first_node guaranteed to be in list
  
  											del self.cache[first_node.key]
  											self.num_keys -= 1
  								lowerCamelCase								=     DoubleLinkedListNode(A		,			A  )
  								self.list.add(self.cache[key]  )
  								self.num_keys += 1
  
  					else:
  								lowerCamelCase								=     self.list.remove(self.cache[key]  )
  								assert node is not None  # node guaranteed to be in list
  								lowerCamelCase								=     value
  								self.list.add(A  )
  
  
  
  
  
  
  
  		@classmethod
  		def 				__A      (   cls		,			A = 1_28  )     ->   Callable[[Callable[[T], U]], Callable[..., U]]:
  
  
  
  
  
  
  
  					'''simple docstring'''
  
  
  
  
  
  
  
  					def cache_decorator_inner(A  ) -> Callable[..., U]:
  								def cache_decorator_wrapper(*A  ) -> U:
  											if func not in cls.decorator_function_to_instance_map:
  														lowerCamelCase								=     LFUCache(A  )
  
  											lowerCamelCase								=     cls.decorator_function_to_instance_map[func].get(args[0]  )
  											if result is None:
  														lowerCamelCase								=     func(*A  )
  														cls.decorator_function_to_instance_map[func].put(args[0]		,			A  )
  											return result
  
  								def cache_info() -> LFUCache[T, U]:
  											return cls.decorator_function_to_instance_map[func]
  
  								setattr(A		,			"""cache_info"""		,			A  )  # noqa: B010
  
  								return cache_decorator_wrapper
  
  					return cache_decorator_inner
  
  
  if __name__ == "__main__":
  		import doctest
  
  		doctest.testmod()
  
  
style_context: 
  
  
  import warnings
  
  from .generation import FlaxGenerationMixin
  
  
  
  
  
  
  
  class 					__lowercase					(       a_     ):
  
  
  
  		"""simple docstring"""
  
  		warnings.warn(
  		    "Importing `FlaxGenerationMixin` from `src/transformers/generation_flax_utils.py` is deprecated and will "
  		    "be removed in Transformers v5. Import as `from transformers import FlaxGenerationMixin` instead." ,       a_ ,       )
  
  