from __future__ import annotations

from typing import Callable, Generic, TypeVar

T = TypeVar("T")
U = TypeVar("U")


class DoubleLinkedListNode(Generic[T, U]):
    """
    Double Linked List Node built specifically for LRU Cache

    >>> DoubleLinkedListNode(1,1)
    Node: key: 1, val: 1, has next: False, has prev: False
    """

    def __init__(self, key: T | None, val: U | None):
        self.key = key
        self.val = val
        self.next: DoubleLinkedListNode[T, U] | None = None
        self.prev: DoubleLinkedListNode[T, U] | None = None

    def __repr__(self) -> str:
        return "Node: key: {}, val: {}, has next: {}, has prev: {}".format(
            self.key, self.val, self.next is not None, self.prev is not None
        )


class DoubleLinkedList(Generic[T, U]):
    """
    Double Linked List built specifically for LRU Cache

    >>> dll: DoubleLinkedList = DoubleLinkedList()
    >>> dll
    DoubleLinkedList,
        Node: key: None, val: None, has next: True, has prev: False,
        Node: key: None, val: None, has next: False, has prev: True

    >>> first_node = DoubleLinkedListNode(1,10)
    >>> first_node
    Node: key: 1, val: 10, has next: False, has prev: False


    >>> dll.add(first_node)
    >>> dll
    DoubleLinkedList,
        Node: key: None, val: None, has next: True, has prev: False,
        Node: key: 1, val: 10, has next: True, has prev: True,
        Node: key: None, val: None, has next: False, has prev: True

    >>> # node is mutated
    >>> first_node
    Node: key: 1, val: 10, has next: True, has prev: True

    >>> second_node = DoubleLinkedListNode(2,20)
    >>> second_node
    Node: key: 2, val: 20, has next: False, has prev: False

    >>> dll.add(second_node)
    >>> dll
    DoubleLinkedList,
        Node: key: None, val: None, has next: True, has prev: False,
        Node: key: 1, val: 10, has next: True, has prev: True,
        Node: key: 2, val: 20, has next: True, has prev: True,
        Node: key: None, val: None, has next: False, has prev: True

    >>> removed_node = dll.remove(first_node)
    >>> assert removed_node == first_node
    >>> dll
    DoubleLinkedList,
        Node: key: None, val: None, has next: True, has prev: False,
        Node: key: 2, val: 20, has next: True, has prev: True,
        Node: key: None, val: None, has next: False, has prev: True


    >>> # Attempt to remove node not on list
    >>> removed_node = dll.remove(first_node)
    >>> removed_node is None
    True

    >>> # Attempt to remove head or rear
    >>> dll.head
    Node: key: None, val: None, has next: True, has prev: False
    >>> dll.remove(dll.head) is None
    True

    >>> # Attempt to remove head or rear
    >>> dll.rear
    Node: key: None, val: None, has next: False, has prev: True
    >>> dll.remove(dll.rear) is None
    True


    """

    def __init__(self) -> None:
        self.head: DoubleLinkedListNode[T, U] = DoubleLinkedListNode(None, None)
        self.rear: DoubleLinkedListNode[T, U] = DoubleLinkedListNode(None, None)
        self.head.next, self.rear.prev = self.rear, self.head

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

    def add(self, node: DoubleLinkedListNode[T, U]) -> None:
        """
        Adds the given node to the end of the list (before rear)
        """

        previous = self.rear.prev

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

        previous.next = node
        node.prev = previous
        self.rear.prev = node
        node.next = self.rear

    def remove(
        self, node: DoubleLinkedListNode[T, U]
    ) -> DoubleLinkedListNode[T, U] | None:
        """
        Removes and returns the given node from the list

        Returns None if node.prev or node.next is None
        """

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

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


class LRUCache(Generic[T, U]):
    """
    LRU Cache to store a given capacity of data. Can be used as a stand-alone object
    or as a function decorator.

    >>> cache = LRUCache(2)

    >>> cache.set(1, 1)
    >>> cache.set(2, 2)
    >>> cache.get(1)
    1

    >>> cache.list
    DoubleLinkedList,
        Node: key: None, val: None, has next: True, has prev: False,
        Node: key: 2, val: 2, has next: True, has prev: True,
        Node: key: 1, val: 1, has next: True, has prev: True,
        Node: key: None, val: None, has next: False, has prev: True

    >>> cache.cache  # doctest: +NORMALIZE_WHITESPACE
    {1: Node: key: 1, val: 1, has next: True, has prev: True, \
     2: Node: key: 2, val: 2, has next: True, has prev: True}

    >>> cache.set(3, 3)

    >>> cache.list
    DoubleLinkedList,
        Node: key: None, val: None, has next: True, has prev: False,
        Node: key: 1, val: 1, has next: True, has prev: True,
        Node: key: 3, val: 3, has next: True, has prev: True,
        Node: key: None, val: None, has next: False, has prev: True

    >>> cache.cache  # doctest: +NORMALIZE_WHITESPACE
    {1: Node: key: 1, val: 1, has next: True, has prev: True, \
     3: Node: key: 3, val: 3, has next: True, has prev: True}

    >>> cache.get(2) is None
    True

    >>> cache.set(4, 4)

    >>> cache.get(1) is None
    True

    >>> cache.get(3)
    3

    >>> cache.get(4)
    4

    >>> cache
    CacheInfo(hits=3, misses=2, capacity=2, current size=2)

    >>> @LRUCache.decorator(100)
    ... def fib(num):
    ...     if num in (1, 2):
    ...         return 1
    ...     return fib(num - 1) + fib(num - 2)

    >>> for i in range(1, 100):
    ...     res = fib(i)

    >>> fib.cache_info()
    CacheInfo(hits=194, misses=99, capacity=100, current size=99)
    """

    # class variable to map the decorator functions to their respective instance
    decorator_function_to_instance_map: dict[Callable[[T], U], LRUCache[T, U]] = {}

    def __init__(self, capacity: int):
        self.list: DoubleLinkedList[T, U] = DoubleLinkedList()
        self.capacity = capacity
        self.num_keys = 0
        self.hits = 0
        self.miss = 0
        self.cache: dict[T, DoubleLinkedListNode[T, U]] = {}

    def __repr__(self) -> str:
        """
        Return the details for the cache instance
        [hits, misses, capacity, current_size]
        """

        return (
            f"CacheInfo(hits={self.hits}, misses={self.miss}, "
            f"capacity={self.capacity}, current size={self.num_keys})"
        )

    def __contains__(self, key: T) -> bool:
        """
        >>> cache = LRUCache(1)

        >>> 1 in cache
        False

        >>> cache.set(1, 1)

        >>> 1 in cache
        True
        """

        return key in self.cache

    def get(self, key: T) -> U | None:
        """
        Returns the value for the input key and updates the Double Linked List.
        Returns None if key is not present in cache
        """
        # Note: pythonic interface would throw KeyError rather than return None

        if key in self.cache:
            self.hits += 1
            value_node: DoubleLinkedListNode[T, U] = self.cache[key]
            node = 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(node)
            return node.val
        self.miss += 1
        return None

    def set(self, key: T, value: U) -> None:
        """
        Sets the value for the input key and updates the Double Linked List
        """

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

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

    @classmethod
    def decorator(
        cls, size: int = 128
    ) -> Callable[[Callable[[T], U]], Callable[..., U]]:
        """
        Decorator version of LRU Cache

        Decorated function must be function of T -> U
        """

        def cache_decorator_inner(func: Callable[[T], U]) -> Callable[..., U]:
            def cache_decorator_wrapper(*args: T) -> U:
                if func not in cls.decorator_function_to_instance_map:
                    cls.decorator_function_to_instance_map[func] = LRUCache(size)

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

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

            setattr(cache_decorator_wrapper, "cache_info", cache_info)

            return cache_decorator_wrapper

        return cache_decorator_inner


if __name__ == "__main__":
    import doctest

    doctest.testmod()

from __future__ import annotations

from typing import Callable, Generic, TypeVar

T = TypeVar("T")
U = TypeVar("U")


class DoubleLinkedListNode(Generic[T, U]):
    """
    Double Linked List Node built specifically for LRU Cache

    >>> DoubleLinkedListNode(1,1)
    Node: key: 1, val: 1, has next: False, has prev: False
    """

    def __init__(self, key: T | None, val: U | None):
        self.key = key
        self.val = val
        self.next: DoubleLinkedListNode[T, U] | None = None
        self.prev: DoubleLinkedListNode[T, U] | None = None

    def __repr__(self) -> str:
        return "Node: key: {}, val: {}, has next: {}, has prev: {}".format(
            self.key, self.val, self.next is not None, self.prev is not None
        )


class DoubleLinkedList(Generic[T, U]):
    """
    Double Linked List built specifically for LRU Cache

    >>> dll: DoubleLinkedList = DoubleLinkedList()
    >>> dll
    DoubleLinkedList,
        Node: key: None, val: None, has next: True, has prev: False,
        Node: key: None, val: None, has next: False, has prev: True

    >>> first_node = DoubleLinkedListNode(1,10)
    >>> first_node
    Node: key: 1, val: 10, has next: False, has prev: False


    >>> dll.add(first_node)
    >>> dll
    DoubleLinkedList,
        Node: key: None, val: None, has next: True, has prev: False,
        Node: key: 1, val: 10, has next: True, has prev: True,
        Node: key: None, val: None, has next: False, has prev: True

    >>> # node is mutated
    >>> first_node
    Node: key: 1, val: 10, has next: True, has prev: True

    >>> second_node = DoubleLinkedListNode(2,20)
    >>> second_node
    Node: key: 2, val: 20, has next: False, has prev: False

    >>> dll.add(second_node)
    >>> dll
    DoubleLinkedList,
        Node: key: None, val: None, has next: True, has prev: False,
        Node: key: 1, val: 10, has next: True, has prev: True,
        Node: key: 2, val: 20, has next: True, has prev: True,
        Node: key: None, val: None, has next: False, has prev: True

    >>> removed_node = dll.remove(first_node)
    >>> assert removed_node == first_node
    >>> dll
    DoubleLinkedList,
        Node: key: None, val: None, has next: True, has prev: False,
        Node: key: 2, val: 20, has next: True, has prev: True,
        Node: key: None, val: None, has next: False, has prev: True


    >>> # Attempt to remove node not on list
    >>> removed_node = dll.remove(first_node)
    >>> removed_node is None
    True

    >>> # Attempt to remove head or rear
    >>> dll.head
    Node: key: None, val: None, has next: True, has prev: False
    >>> dll.remove(dll.head) is None
    True

    >>> # Attempt to remove head or rear
    >>> dll.rear
    Node: key: None, val: None, has next: False, has prev: True
    >>> dll.remove(dll.rear) is None
    True


    """

    def __init__(self) -> None:
        self.head: DoubleLinkedListNode[T, U] = DoubleLinkedListNode(None, None)
        self.rear: DoubleLinkedListNode[T, U] = DoubleLinkedListNode(None, None)
        self.head.next, self.rear.prev = self.rear, self.head

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

    def add(self, node: DoubleLinkedListNode[T, U]) -> None:
        """
        Adds the given node to the end of the list (before rear)
        """

        previous = self.rear.prev

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

        previous.next = node
        node.prev = previous
        self.rear.prev = node
        node.next = self.rear

    def remove(
        self, node: DoubleLinkedListNode[T, U]
    ) -> DoubleLinkedListNode[T, U] | None:
        """
        Removes and returns the given node from the list

        Returns None if node.prev or node.next is None
        """

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

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


class LRUCache(Generic[T, U]):
    """
    LRU Cache to store a given capacity of data. Can be used as a stand-alone object
    or as a function decorator.

    >>> cache = LRUCache(2)

    >>> cache.set(1, 1)
    >>> cache.set(2, 2)
    >>> cache.get(1)
    1

    >>> cache.list
    DoubleLinkedList,
        Node: key: None, val: None, has next: True, has prev: False,
        Node: key: 2, val: 2, has next: True, has prev: True,
        Node: key: 1, val: 1, has next: True, has prev: True,
        Node: key: None, val: None, has next: False, has prev: True

    >>> cache.cache  # doctest: +NORMALIZE_WHITESPACE
    {1: Node: key: 1, val: 1, has next: True, has prev: True, \
     2: Node: key: 2, val: 2, has next: True, has prev: True}

    >>> cache.set(3, 3)

    >>> cache.list
    DoubleLinkedList,
        Node: key: None, val: None, has next: True, has prev: False,
        Node: key: 1, val: 1, has next: True, has prev: True,
        Node: key: 3, val: 3, has next: True, has prev: True,
        Node: key: None, val: None, has next: False, has prev: True

    >>> cache.cache  # doctest: +NORMALIZE_WHITESPACE
    {1: Node: key: 1, val: 1, has next: True, has prev: True, \
     3: Node: key: 3, val: 3, has next: True, has prev: True}

    >>> cache.get(2) is None
    True

    >>> cache.set(4, 4)

    >>> cache.get(1) is None
    True

    >>> cache.get(3)
    3

    >>> cache.get(4)
    4

    >>> cache
    CacheInfo(hits=3, misses=2, capacity=2, current size=2)

    >>> @LRUCache.decorator(100)
    ... def fib(num):
    ...     if num in (1, 2):
    ...         return 1
    ...     return fib(num - 1) + fib(num - 2)

    >>> for i in range(1, 100):
    ...     res = fib(i)

    >>> fib.cache_info()
    CacheInfo(hits=194, misses=99, capacity=100, current size=99)
    """

    # class variable to map the decorator functions to their respective instance
    decorator_function_to_instance_map: dict[Callable[[T], U], LRUCache[T, U]] = {}

    def __init__(self, capacity: int):
        self.list: DoubleLinkedList[T, U] = DoubleLinkedList()
        self.capacity = capacity
        self.num_keys = 0
        self.hits = 0
        self.miss = 0
        self.cache: dict[T, DoubleLinkedListNode[T, U]] = {}

    def __repr__(self) -> str:
        """
        Return the details for the cache instance
        [hits, misses, capacity, current_size]
        """

        return (
            f"CacheInfo(hits={self.hits}, misses={self.miss}, "
            f"capacity={self.capacity}, current size={self.num_keys})"
        )

    def __contains__(self, key: T) -> bool:
        """
        >>> cache = LRUCache(1)

        >>> 1 in cache
        False

        >>> cache.set(1, 1)

        >>> 1 in cache
        True
        """

        return key in self.cache

    def get(self, key: T) -> U | None:
        """
        Returns the value for the input key and updates the Double Linked List.
        Returns None if key is not present in cache
        """
        # Note: pythonic interface would throw KeyError rather than return None

        if key in self.cache:
            self.hits += 1
            value_node: DoubleLinkedListNode[T, U] = self.cache[key]
            node = 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(node)
            return node.val
        self.miss += 1
        return None

    def set(self, key: T, value: U) -> None:
        """
        Sets the value for the input key and updates the Double Linked List
        """

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

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

    @classmethod
    def decorator(
        cls, size: int = 128
    ) -> Callable[[Callable[[T], U]], Callable[..., U]]:
        """
        Decorator version of LRU Cache

        Decorated function must be function of T -> U
        """

        def cache_decorator_inner(func: Callable[[T], U]) -> Callable[..., U]:
            def cache_decorator_wrapper(*args: T) -> U:
                if func not in cls.decorator_function_to_instance_map:
                    cls.decorator_function_to_instance_map[func] = LRUCache(size)

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

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

            setattr(cache_decorator_wrapper, "cache_info", cache_info)

            return cache_decorator_wrapper

        return cache_decorator_inner


if __name__ == "__main__":
    import doctest

    doctest.testmod()

Double Linked List Node built specifically for LRU Cache      >>> DoubleLinkedListNode(1,1)     Node: key: 1, val: 1, has next: False, has prev: False Double Linked List built specifically for LRU Cache      >>> dll: DoubleLinkedList = DoubleLinkedList()     >>> dll     DoubleLinkedList,         Node: key: None, val: None, has next: True, has prev: False,         Node: key: None, val: None, has next: False, has prev: True      >>> first_node = DoubleLinkedListNode(1,10)     >>> first_node     Node: key: 1, val: 10, has next: False, has prev: False       >>> dll.add(first_node)     >>> dll     DoubleLinkedList,         Node: key: None, val: None, has next: True, has prev: False,         Node: key: 1, val: 10, has next: True, has prev: True,         Node: key: None, val: None, has next: False, has prev: True      >>> # node is mutated     >>> first_node     Node: key: 1, val: 10, has next: True, has prev: True      >>> second_node = DoubleLinkedListNode(2,20)     >>> second_node     Node: key: 2, val: 20, has next: False, has prev: False      >>> dll.add(second_node)     >>> dll     DoubleLinkedList,         Node: key: None, val: None, has next: True, has prev: False,         Node: key: 1, val: 10, has next: True, has prev: True,         Node: key: 2, val: 20, has next: True, has prev: True,         Node: key: None, val: None, has next: False, has prev: True      >>> removed_node = dll.remove(first_node)     >>> assert removed_node == first_node     >>> dll     DoubleLinkedList,         Node: key: None, val: None, has next: True, has prev: False,         Node: key: 2, val: 20, has next: True, has prev: True,         Node: key: None, val: None, has next: False, has prev: True       >>> # Attempt to remove node not on list     >>> removed_node = dll.remove(first_node)     >>> removed_node is None     True      >>> # Attempt to remove head or rear     >>> dll.head     Node: key: None, val: None, has next: True, has prev: False     >>> dll.remove(dll.head) is None     True      >>> # Attempt to remove head or rear     >>> dll.rear     Node: key: None, val: None, has next: False, has prev: True     >>> dll.remove(dll.rear) is None     True Adds the given node to the end of the list (before rear) # All nodes other than self.head are guaranteed to have non-None previous Removes and returns the given node from the list          Returns None if node.prev or node.next is None LRU Cache to store a given capacity of data. Can be used as a stand-alone object     or as a function decorator.      >>> cache = LRUCache(2)      >>> cache.set(1, 1)     >>> cache.set(2, 2)     >>> cache.get(1)     1      >>> cache.list     DoubleLinkedList,         Node: key: None, val: None, has next: True, has prev: False,         Node: key: 2, val: 2, has next: True, has prev: True,         Node: key: 1, val: 1, has next: True, has prev: True,         Node: key: None, val: None, has next: False, has prev: True      >>> cache.cache  # doctest: +NORMALIZE_WHITESPACE     {1: Node: key: 1, val: 1, has next: True, has prev: True, \      2: Node: key: 2, val: 2, has next: True, has prev: True}      >>> cache.set(3, 3)      >>> cache.list     DoubleLinkedList,         Node: key: None, val: None, has next: True, has prev: False,         Node: key: 1, val: 1, has next: True, has prev: True,         Node: key: 3, val: 3, has next: True, has prev: True,         Node: key: None, val: None, has next: False, has prev: True      >>> cache.cache  # doctest: +NORMALIZE_WHITESPACE     {1: Node: key: 1, val: 1, has next: True, has prev: True, \      3: Node: key: 3, val: 3, has next: True, has prev: True}      >>> cache.get(2) is None     True      >>> cache.set(4, 4)      >>> cache.get(1) is None     True      >>> cache.get(3)     3      >>> cache.get(4)     4      >>> cache     CacheInfo(hits=3, misses=2, capacity=2, current size=2)      >>> @LRUCache.decorator(100)     ... def fib(num):     ...     if num in (1, 2):     ...         return 1     ...     return fib(num - 1) + fib(num - 2)      >>> for i in range(1, 100):     ...     res = fib(i)      >>> fib.cache_info()     CacheInfo(hits=194, misses=99, capacity=100, current size=99) # class variable to map the decorator functions to their respective instance Return the details for the cache instance         [hits, misses, capacity, current_size] >>> cache = LRUCache(1)          >>> 1 in cache         False          >>> cache.set(1, 1)          >>> 1 in cache         True Returns the value for the input key and updates the Double Linked List.         Returns None if key is not present in cache # Note: pythonic interface would throw KeyError rather than return None # node is guaranteed not None because it is in self.cache Sets the value for the input key and updates the Double Linked List # delete first node (oldest) when over capacity # guaranteed to have a non-None first node when num_keys > 0 # explain to type checker via assertions # node guaranteed to be in list assert node.key is not None # bump node to the end of the list, update value # node guaranteed to be in list Decorator version of LRU Cache          Decorated function must be function of T -> U