





from __future__ import annotations

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

snake_case_				=      TypeVar('''T''')
snake_case_				=      TypeVar('''U''')
class 							snake_case_		(      Generic[T, U]):







		def __init__(		self      ,  __lowercase      ,  __lowercase )					-> Any:
				lowerCamelCase :			Any    		=key
				lowerCamelCase :			Optional[int]    		=val
				lowerCamelCase :			int    		=0
				lowerCamelCase :			Any    		=None
				lowerCamelCase :			Tuple    		=None







		def __repr__(		self )					-> 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 							snake_case_		(      Generic[T, U]):







		def __init__(		self )					-> Union[str, Any]:
				lowerCamelCase :			Union[str, Any]    		=DoubleLinkedListNode(_lowerCAmelCase      ,  _lowerCAmelCase )
				lowerCamelCase :			Optional[Any]    		=DoubleLinkedListNode(_lowerCAmelCase      ,  _lowerCAmelCase )
				lowerCamelCase		, lowerCamelCase :			List[Any]    		=self.rear, self.head







		def __repr__(		self )					-> Union[str, Any]:
				lowerCamelCase :			str    		=['''DoubleLinkedList''']
				lowerCamelCase :			int    		=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       __lowercase (		self      ,  __lowercase )					-> List[Any]:
				lowerCamelCase :			Optional[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 :			Tuple    		=previous
				lowerCamelCase :			List[str]    		=node
				lowerCamelCase :			List[str]    		=self.rear
				node.freq += 1
				self._position_node(_lowerCAmelCase )







		def       __lowercase (		self      ,  __lowercase )					-> Union[str, Any]:

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

						lowerCamelCase :			Optional[int]    		=previous_node.prev
						lowerCamelCase :			Union[str, Any]    		=node.prev
						lowerCamelCase :			List[str]    		=previous_node
						lowerCamelCase :			Tuple    		=node







		def       __lowercase (		self      ,  __lowercase )					-> Dict:

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

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

class 							snake_case_		(      Generic[T, U]):
		lowerCamelCase     :dict[Callable[[T], U], LFUCache[T, U]]							=  {}







		def __init__(		self      ,  __lowercase )					-> List[str]:
				lowerCamelCase :			Optional[int]    		=DoubleLinkedList()
				lowerCamelCase :			str    		=capacity
				lowerCamelCase :			List[str]    		=0
				lowerCamelCase :			Optional[Any]    		=0
				lowerCamelCase :			int    		=0
				lowerCamelCase :			Any    		={}







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







		def __contains__(		self      ,  __lowercase )					-> Union[str, Any]:
				return key in self.cache







		def       __lowercase (		self      ,  __lowercase )					-> List[str]:

				if key in self.cache:
						self.hits += 1
						lowerCamelCase :			str    		=self.cache[key]
						lowerCamelCase :			Optional[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       __lowercase (		self      ,  __lowercase      ,  __lowercase )					-> Tuple:

				if key not in self.cache:
						if self.num_keys >= self.capacity:
								# delete first node 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
								# first_node guaranteed to be in list

								del self.cache[first_node.key]
								self.num_keys -= 1
						lowerCamelCase :			Union[str, Any]    		=DoubleLinkedListNode(_lowerCAmelCase      ,  _lowerCAmelCase )
						self.list.add(self.cache[key] )
						self.num_keys += 1

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







		@classmethod
		def       __lowercase (		cls      ,  __lowercase = 1_2_8 )					-> Optional[Any]:

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

								lowerCamelCase :			Dict    		=cls.decorator_function_to_instance_map[func].get(args[0] )
								if result is None:
										lowerCamelCase :			List[str]    		=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





def 							lowerCamelCase    (							UpperCAmelCase_	:      str   ,       UpperCAmelCase_	:      dict[str, str]      )->			str:

       """simple docstring"""




       a   ,      a   ,      a			   ="""""", """""", """"""
       a			   =[]

       for character in message_part:
              tmp.append(character_to_number[character]      )

       for each in tmp:
              one += each[0]
              two += each[1]
              three += each[2]

       return one + two + three





def 							lowerCamelCase    (							UpperCAmelCase_	:      str   ,       UpperCAmelCase_	:      dict[str, str]      )->			tuple[str, str, str]:

       """simple docstring"""




       a   ,      a			   ="""""", """"""
       a			   =[]

       for character in message_part:
              this_part += character_to_number[character]

       for digit in this_part:
              tmp += digit
              if len(UpperCAmelCase_      ) == len(UpperCAmelCase_      ):
                     result.append(UpperCAmelCase_      )
                     a			   =""""""

       return result[0], result[1], result[2]





def 							lowerCamelCase    (							UpperCAmelCase_	:      str   ,       UpperCAmelCase_	:      str      )->			tuple[str, str, dict[str, str], dict[str, str]]:

       """simple docstring"""




       a			   =alphabet.replace(""" """   ,       """"""      ).upper()
       a			   =message.replace(""" """   ,       """"""      ).upper()

       # Check length and characters
       if len(UpperCAmelCase_      ) != 27:
              raise KeyError("""Length of alphabet has to be 27."""      )
       for each in message:
              if each not in alphabet:
                     raise ValueError("""Each message character has to be included in alphabet!"""      )

    # Generate dictionares
       a			   =(
           """111""",
           """112""",
           """113""",
           """121""",
           """122""",
           """123""",
           """131""",
           """132""",
           """133""",
           """211""",
           """212""",
           """213""",
           """221""",
           """222""",
           """223""",
           """231""",
           """232""",
           """233""",
           """311""",
           """312""",
           """313""",
           """321""",
           """322""",
           """323""",
           """331""",
           """332""",
           """333""",
       )
       a			   ={}
       a			   ={}
       for letter, number in zip(UpperCAmelCase_   ,       UpperCAmelCase_      ):
              a			   =number
              a			   =letter

       return message, alphabet, character_to_number, number_to_character





def 							lowerCamelCase    (							UpperCAmelCase_	:      str   ,       UpperCAmelCase_	:      str = "ABCDEFGHIJKLMNOPQRSTUVWXYZ."   ,       UpperCAmelCase_	:      int = 5      )->			str:

       """simple docstring"""




       a   ,      a   ,      a   ,      a			   =__prepare(
           UpperCAmelCase_   ,       UpperCAmelCase_      )
       a   ,      a			   ="""""", """"""

       for i in range(0   ,       len(UpperCAmelCase_      ) + 1   ,       UpperCAmelCase_      ):
              encrypted_numeric += __encrypt_part(
                  message[i : i + period]   ,       UpperCAmelCase_      )

       for i in range(0   ,       len(UpperCAmelCase_      )   ,       3      ):
              encrypted += number_to_character[encrypted_numeric[i : i + 3]]

       return encrypted





def 							lowerCamelCase    (							UpperCAmelCase_	:      str   ,       UpperCAmelCase_	:      str = "ABCDEFGHIJKLMNOPQRSTUVWXYZ."   ,       UpperCAmelCase_	:      int = 5      )->			str:

       """simple docstring"""




       a   ,      a   ,      a   ,      a			   =__prepare(
           UpperCAmelCase_   ,       UpperCAmelCase_      )
       a			   =[]
       a			   =""""""

       for i in range(0   ,       len(UpperCAmelCase_      ) + 1   ,       UpperCAmelCase_      ):
              a   ,      a   ,      a			   =__decrypt_part(message[i : i + period]   ,       UpperCAmelCase_      )

              for j in range(0   ,       len(UpperCAmelCase_      )      ):
                     decrypted_numeric.append(a[j] + b[j] + c[j]      )

       for each in decrypted_numeric:
              decrypted += number_to_character[each]

       return decrypted


if __name__ == "__main__":
    _lowerCamelCase							=      '''DEFEND THE EAST WALL OF THE CASTLE.'''
    _lowerCamelCase							=      encrypt_message(msg, '''EPSDUCVWYM.ZLKXNBTFGORIJHAQ''')
    _lowerCamelCase							=      decrypt_message(encrypted, '''EPSDUCVWYM.ZLKXNBTFGORIJHAQ''')
    print(f"""Encrypted: {encrypted}\nDecrypted: {decrypted}""")
