


from __future__ import annotations

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

snake_case__				:	str					       =					TypeVar('T')
snake_case__				:	int					       =					TypeVar('U')





class   SCREAMING_SNAKE_CASE_			(Generic[T, U]						):




       '''simple docstring'''



       def __init__(						self				:				Dict		,				__a				:				List[Any]		,				__a				:				Optional[int]							)					->Union[str, Any]:
          lowerCamelCase_						:   Tuple		= key
          lowerCamelCase_						:   List[str]		= val
          lowerCamelCase_						:   DoubleLinkedListNode[T, U] | None		= None
          lowerCamelCase_						:   DoubleLinkedListNode[T, U] | None		= None




       def __repr__(						self				:				Any							)					->Optional[int]:
          return (
              F'''Node: key: {self.key}, val: {self.val}, '''
              F'''has next: {bool(self.next							)}, has prev: {bool(self.prev							)}'''
          )







class   SCREAMING_SNAKE_CASE_			(Generic[T, U]						):




       '''simple docstring'''



       def __init__(						self				:				List[Any]							)					->Any:
          lowerCamelCase_						:   DoubleLinkedListNode[T, U]		= DoubleLinkedListNode(__lowerCAmelCase		,				__lowerCAmelCase							)
          lowerCamelCase_						:   DoubleLinkedListNode[T, U]		= DoubleLinkedListNode(__lowerCAmelCase		,				__lowerCAmelCase							)
          lowerCamelCase_						:   Union[str, Any]		= self.rear, self.head



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



       def 				_lowerCAmelCase							(						self				:				Any		,				__a				:				List[Any]							)					->Optional[int]:
          lowerCamelCase_						:   List[Any]		= self.rear.prev

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

          lowerCamelCase_						:   str		= node
          lowerCamelCase_						:   str		= previous
          lowerCamelCase_						:   Dict		= node
          lowerCamelCase_						:   Optional[Any]		= self.rear




       def 				_lowerCAmelCase							(						self				:				Optional[Any]		,				__a				:				Optional[int]							)					->Union[str, Any]:

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

          lowerCamelCase_						:   str		= node.next
          lowerCamelCase_						:   Any		= node.prev
          lowerCamelCase_						:   int		= None
          lowerCamelCase_						:   List[str]		= None
          return node







class   SCREAMING_SNAKE_CASE_			(Generic[T, U]						):




       '''simple docstring'''



       _a   							=							{}



       def __init__(						self				:				str		,				__a				:				Optional[int]							)					->Optional[int]:
          lowerCamelCase_						:   DoubleLinkedList[T, U]		= DoubleLinkedList()
          lowerCamelCase_						:   Dict		= capacity
          lowerCamelCase_						:   Union[str, Any]		= 0
          lowerCamelCase_						:   Dict		= 0
          lowerCamelCase_						:   Optional[Any]		= 0
          lowerCamelCase_						:   dict[T, DoubleLinkedListNode[T, U]]		= {}



       def __repr__(						self				:				str							)					->int:
          return (
              F'''CacheInfo(hits={self.hits}, misses={self.miss}, '''
              F'''capacity={self.capacity}, current size={self.num_keys})'''
          )



       def __contains__(						self				:				Tuple		,				__a				:				str							)					->List[str]:
          return key in self.cache



       def 				_lowerCAmelCase							(						self				:				Optional[int]		,				__a				:				List[Any]							)					->List[Any]:
          # Note: pythonic interface would throw KeyError rather than return None

          if key in self.cache:
             self.hits += 1
             lowerCamelCase_						:   DoubleLinkedListNode[T, U]		= self.cache[key]
             lowerCamelCase_						:   int		= 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				:				Dict		,				__a				:				int		,				__a				:				Any							)					->Union[str, Any]:

          if key not in self.cache:
             if self.num_keys >= self.capacity:
                # delete first node (oldest) when over capacity
                lowerCamelCase_						:   Union[str, 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(__lowerCAmelCase							) is not None
                )  # node guaranteed to be in list assert node.key is not None

                del self.cache[first_node.key]
                self.num_keys -= 1
             lowerCamelCase_						:   List[Any]		= DoubleLinkedListNode(__lowerCAmelCase		,				__lowerCAmelCase							)
             self.list.add(self.cache[key]							)
             self.num_keys += 1

          else:
             # bump node to the end of the list, update value
             lowerCamelCase_						:   str		= self.list.remove(self.cache[key]							)
             assert node is not None  # node guaranteed to be in list
             lowerCamelCase_						:   Any		= value
             self.list.add(__lowerCAmelCase							)




       @classmethod
       def 				_lowerCAmelCase							(						cls				:				str		,				__a				:				str = 128							)					->Dict:

          def cache_decorator_inner(__a				:				List[str]							) -> Callable[..., U]:
             def cache_decorator_wrapper(*__a				:				Union[str, Any]							) -> U:
                if func not in cls.decorator_function_to_instance_map:
                   lowerCamelCase_						:   List[str]		= LRUCache(__lowerCAmelCase							)

                lowerCamelCase_						:   Optional[Any]		= cls.decorator_function_to_instance_map[func].get(args[0]							)
                if result is None:
                   lowerCamelCase_						:   Optional[Any]		= func(*__lowerCAmelCase							)
                   cls.decorator_function_to_instance_map[func].put(args[0]		,				__lowerCAmelCase							)
                return result

             def cache_info() -> LRUCache[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()













SCREAMING_SNAKE_CASE__   :      Tuple				=		{
    """a""": """AAAAA""",
    """b""": """AAAAB""",
    """c""": """AAABA""",
    """d""": """AAABB""",
    """e""": """AABAA""",
    """f""": """AABAB""",
    """g""": """AABBA""",
    """h""": """AABBB""",
    """i""": """ABAAA""",
    """j""": """BBBAA""",
    """k""": """ABAAB""",
    """l""": """ABABA""",
    """m""": """ABABB""",
    """n""": """ABBAA""",
    """o""": """ABBAB""",
    """p""": """ABBBA""",
    """q""": """ABBBB""",
    """r""": """BAAAA""",
    """s""": """BAAAB""",
    """t""": """BAABA""",
    """u""": """BAABB""",
    """v""": """BBBAB""",
    """w""": """BABAA""",
    """x""": """BABAB""",
    """y""": """BABBA""",
    """z""": """BABBB""",
    """ """: """ """,
}


SCREAMING_SNAKE_CASE__   :      Union[str, Any]				=		{value: key for key, value in encode_dict.items()}

def   __lowercase       (			snake_case			):







				"""simple docstring"""






				__magic_name__		:Tuple   =   ''''''
				for letter in word.lower():
								if letter.isalpha() or letter == " ":
												encoded += encode_dict[letter]
								else:
												raise Exception('''encode() accepts only letters of the alphabet and spaces'''			)
				return encoded

def   __lowercase       (			snake_case			):







				"""simple docstring"""






				if set(snake_case			) - {"A", "B", " "} != set():
								raise Exception('''decode() accepts only \'A\', \'B\' and spaces'''			)
				__magic_name__		:Dict   =   ''''''
				for word in coded.split():
								while len(snake_case			) != 0:
												decoded += decode_dict[word[:5]]
												__magic_name__		:int   =   word[5:]
								decoded += " "
				return decoded.strip()


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

					testmod()






