



"""simple docstring"""




from __future__ import annotations

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

_UpperCamelCase:					str     				=	TypeVar('T')
_UpperCamelCase:					Any     				=	TypeVar('U')


class 	a__		(    Generic[T, U]  ):


   def __init__(				self   :				Dict,  lowerCAmelCase   :				T | None,  lowerCAmelCase   :				U | None      )     ->							List[Any]:
         lowercase	:   Tuple											= key
         lowercase	:   str											= val
         lowercase	:   int											= 0
         lowercase	:   DoubleLinkedListNode[T, U] | None											= None
         lowercase	:   DoubleLinkedListNode[T, U] | None											= None






   def __repr__(				self   :				Union[str, Any]      )     ->							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 	a__		(    Generic[T, U]  ):


   def __init__(				self   :				List[str]      )     ->							None:
         lowercase	:   DoubleLinkedListNode[T, U]											= DoubleLinkedListNode(lowerCAmelCase,  lowerCAmelCase      )
         lowercase	:   DoubleLinkedListNode[T, U]											= DoubleLinkedListNode(lowerCAmelCase,  lowerCAmelCase      )
         lowercase						,     lowercase	:   Optional[int]											= self.rear, self.head


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


   def 							lowercase					(				self   :				str,  lowerCAmelCase   :				DoubleLinkedListNode[T, U]      )     ->							None:
         lowercase	:   Any											= self.rear.prev

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

         lowercase	:   Optional[Any]											= node
         lowercase	:   Dict											= previous
         lowercase	:   List[Any]											= node
         lowercase	:   Union[str, Any]											= self.rear
         node.freq += 1
         self._position_node(lowerCAmelCase      )


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

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

               lowercase	:   str											= previous_node.prev
               lowercase	:   List[str]											= node.prev
               lowercase	:   Optional[int]											= previous_node
               lowercase	:   Tuple											= node






   def 							lowercase					(				self   :				str,  lowerCAmelCase   :				DoubleLinkedListNode[T, U]      )     ->							DoubleLinkedListNode[T, U] | None:

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

         lowercase	:   Any											= node.next
         lowercase	:   Union[str, Any]											= node.prev
         lowercase	:   Union[str, Any]											= None
         lowercase	:   Optional[int]											= None
         return node




class 	a__		(    Generic[T, U]  ):
   _lowerCamelCase       				=					{}


   def __init__(				self   :				Dict,  lowerCAmelCase   :				int      )     ->							Any:
         lowercase	:   DoubleLinkedList[T, U]											= DoubleLinkedList()
         lowercase	:   Dict											= capacity
         lowercase	:   int											= 0
         lowercase	:   Any											= 0
         lowercase	:   List[Any]											= 0
         lowercase	:   dict[T, DoubleLinkedListNode[T, U]]											= {}


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


   def __contains__(				self   :				Any,  lowerCAmelCase   :				T      )     ->							bool:
         return key in self.cache


   def 							lowercase					(				self   :				Dict,  lowerCAmelCase   :				T      )     ->							U | None:

         if key in self.cache:
               self.hits += 1
               lowercase	:   DoubleLinkedListNode[T, U]											= self.cache[key]
               lowercase	:   Tuple											= 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   :				str,  lowerCAmelCase   :				T,  lowerCAmelCase   :				U      )     ->							None:

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

         else:
               lowercase	:   str											= self.list.remove(self.cache[key]      )
               assert node is not None  # node guaranteed to be in list
               lowercase	:   Union[str, Any]											= value
               self.list.add(lowerCAmelCase      )






   @classmethod
   def 							lowercase					(				cls   :				type[LFUCache[T, U]],  lowerCAmelCase   :				int = 128      )     ->							Callable[[Callable[[T], U]], Callable[..., U]]:

         def cache_decorator_inner(lowerCAmelCase   :				Callable[[T], U]      ) -> Callable[..., U]:
               def cache_decorator_wrapper(*lowerCAmelCase   :				T      ) -> U:
                     if func not in cls.decorator_function_to_instance_map:
                           lowercase	:   Dict											= LFUCache(lowerCAmelCase      )

                     lowercase	:   str											= cls.decorator_function_to_instance_map[func].get(args[0]      )
                     if result is None:
                           lowercase	:   List[Any]											= 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 __future__ import annotations

from collections import defaultdict
from dataclasses import dataclass


@dataclass
class 	a__		:
   _lowerCamelCase       				=					42
   _lowerCamelCase       				=					None
   _lowerCamelCase       				=					None




def 	lowercase__  (      )  ->      TreeNode:






      '''simple docstring'''


      return TreeNode(3						,   TreeNode(9					)						,   TreeNode(20						,   TreeNode(15					)						,   TreeNode(7					)					)					)


def 	lowercase__  (      _UpperCAmelCase					)  ->      list[int]:






      '''simple docstring'''


      def depth_first_search(
          _UpperCAmelCase						,   _UpperCAmelCase						,   _UpperCAmelCase					) -> None:
            if not root:
                  return

            if depth == len(_UpperCAmelCase					):
                  right_view.append(root.val					)

            depth_first_search(root.right						,   depth + 1						,   _UpperCAmelCase					)
            depth_first_search(root.left						,   depth + 1						,   _UpperCAmelCase					)

      lowercase	:   list											= []
      if not root:
            return right_view

      depth_first_search(_UpperCAmelCase						,   0						,   _UpperCAmelCase					)
      return right_view


def 	lowercase__  (      _UpperCAmelCase					)  ->      list[int]:






      '''simple docstring'''


      def depth_first_search(
          _UpperCAmelCase						,   _UpperCAmelCase						,   _UpperCAmelCase					) -> None:
            if not root:
                  return

            if depth == len(_UpperCAmelCase					):
                  left_view.append(root.val					)

            depth_first_search(root.left						,   depth + 1						,   _UpperCAmelCase					)
            depth_first_search(root.right						,   depth + 1						,   _UpperCAmelCase					)

      lowercase	:   list											= []
      if not root:
            return left_view

      depth_first_search(_UpperCAmelCase						,   0						,   _UpperCAmelCase					)
      return left_view


def 	lowercase__  (      _UpperCAmelCase					)  ->      list[int]:






      '''simple docstring'''


      def breadth_first_search(_UpperCAmelCase						,   _UpperCAmelCase					) -> None:
            lowercase	:   List[str]											= [(root, 0)]
            lowercase	:   List[Any]											= defaultdict(_UpperCAmelCase					)

            while queue:
                  lowercase	:   Union[str, Any]											= queue.pop(0					)
                  lowercase						,     lowercase	:   str											= first

                  lookup[hd].append(node.val					)

                  if node.left:
                        queue.append((node.left, hd - 1)					)
                  if node.right:
                        queue.append((node.right, hd + 1)					)

            for pair in sorted(lookup.items()						,   key=lambda _UpperCAmelCase					: each[0]					):
                  top_view.append(pair[1][0]					)

      lowercase	:   list											= []
      if not root:
            return top_view

      breadth_first_search(_UpperCAmelCase						,   _UpperCAmelCase					)
      return top_view


def 	lowercase__  (      _UpperCAmelCase					)  ->      list[int]:






      '''simple docstring'''


      from collections import defaultdict

      def breadth_first_search(_UpperCAmelCase						,   _UpperCAmelCase					) -> None:
            lowercase	:   Any											= [(root, 0)]
            lowercase	:   Dict											= defaultdict(_UpperCAmelCase					)

            while queue:
                  lowercase	:   str											= queue.pop(0					)
                  lowercase						,     lowercase	:   List[Any]											= first
                  lookup[hd].append(node.val					)

                  if node.left:
                        queue.append((node.left, hd - 1)					)
                  if node.right:
                        queue.append((node.right, hd + 1)					)

            for pair in sorted(lookup.items()						,   key=lambda _UpperCAmelCase					: each[0]					):
                  bottom_view.append(pair[1][-1]					)

      lowercase	:   list											= []
      if not root:
            return bottom_view

      breadth_first_search(_UpperCAmelCase						,   _UpperCAmelCase					)
      return bottom_view


if __name__ == "__main__":
     import doctest

     doctest.testmod()
