





'''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        _lowerCAmelCase						(       Generic[T, U]     ):






     """simple docstring"""






     def __init__(					self				:       int					,    __snake_case				:       List[Any]					,    __snake_case				:       Any		)->     Union[str, Any]:
        snake_case      		=					key
        snake_case      		=					val
        snake_case      		=					0
        snake_case      		=					None
        snake_case      		=					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        _lowerCAmelCase						(       Generic[T, U]     ):






     """simple docstring"""






     def __init__(					self				:       Optional[Any]		)->     None:
        snake_case      		=					DoubleLinkedListNode(lowerCamelCase_					,    lowerCamelCase_		)
        snake_case      		=					DoubleLinkedListNode(lowerCamelCase_					,    lowerCamelCase_		)
        snake_case		,  snake_case      		=					self.rear, self.head



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



     def 			lowerCAmelCase       (					self				:       Optional[int]					,    __snake_case				:       List[str]		)->     None:
        snake_case      		=					self.rear.prev

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

        snake_case      		=					node
        snake_case      		=					previous
        snake_case      		=					node
        snake_case      		=					self.rear
        node.freq += 1
        self._position_node(lowerCamelCase_		)



     def 			lowerCAmelCase       (					self				:       Any					,    __snake_case				:       Optional[Any]		)->     None:

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

           snake_case      		=					previous_node.prev
           snake_case      		=					node.prev
           snake_case      		=					previous_node
           snake_case      		=					node



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

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

        snake_case      		=					node.next
        snake_case      		=					node.prev
        snake_case      		=					None
        snake_case      		=					None
        return node




class        _lowerCAmelCase						(       Generic[T, U]     ):






     """simple docstring"""






     snake_case_			=					{}



     def __init__(					self				:       str					,    __snake_case				:       List[str]		)->     Any:
        snake_case      		=					DoubleLinkedList()
        snake_case      		=					capacity
        snake_case      		=					0
        snake_case      		=					0
        snake_case      		=					0
        snake_case      		=					{}



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



     def __contains__(					self				:       Dict					,    __snake_case				:       Optional[int]		)->     bool:
        return key in self.cache



     def 			lowerCAmelCase       (					self				:       List[str]					,    __snake_case				:       Tuple		)->     U | None:

        if key in self.cache:
           self.hits += 1
           snake_case      		=					self.cache[key]
           snake_case      		=					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				:       Any					,    __snake_case				:       Tuple					,    __snake_case				:       Any		)->     None:

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

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



     @classmethod
     def 			lowerCAmelCase       (					cls				:       List[Any]					,    __snake_case				:       Union[str, Any] = 1_28		)->     Callable[[Callable[[T], U]], Callable[..., U]]:

        def cache_decorator_inner(__snake_case				:       Optional[int]		) -> Callable[..., U]:
           def cache_decorator_wrapper(*__snake_case				:       Tuple		) -> U:
              if func not in cls.decorator_function_to_instance_map:
                 snake_case      		=					LFUCache(lowerCamelCase_		)

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





'''simple docstring'''






from .hash_table import HashTable
from .number_theory.prime_numbers import is_prime, next_prime




class 		a__				(							a__  ):





							'''simple docstring'''






							def __init__(		self					,    *lowerCamelCase_					,    **lowerCamelCase_   )       ->							Optional[int]:
														super().__init__(*lowerCamelCase_					,    **lowerCamelCase_   )







							def   __SCREAMING_SNAKE_CASE							(		self					,    lowerCamelCase_					,    lowerCamelCase_   )       ->							Optional[int]:
														lowerCAmelCase__          =	(
														    next_prime(value % self.size_table   )
														    if not is_prime(value % self.size_table   )
														    else value % self.size_table
														)  # gt = bigger than
														return next_prime_gt - (data % next_prime_gt)







							def   __SCREAMING_SNAKE_CASE							(		self					,    lowerCamelCase_					,    lowerCamelCase_					,    lowerCamelCase_   )       ->							Optional[int]:
														return (increment * self.__hash_function_a(lowerCamelCase_					,    lowerCamelCase_   )) % self.size_table







							def   __SCREAMING_SNAKE_CASE							(		self					,    lowerCamelCase_					,    lowerCamelCase_=None   )       ->							Any:
														lowerCAmelCase__          =	1
														lowerCAmelCase__          =	self.hash_function(lowerCamelCase_   )

														while self.values[new_key] is not None and self.values[new_key] != key:
																					lowerCAmelCase__          =	(
																					    self.__hash_double_function(lowerCamelCase_					,    lowerCamelCase_					,    lowerCamelCase_   )
																					    if self.balanced_factor() >= self.lim_charge
																					    else None
																					)
																					if new_key is None:
																												break
																					else:
																												i += 1

														return new_key