


'''simple docstring'''







from collections import namedtuple

a__    :   Optional[Any]								=			namedtuple('from_to', 'from_ to')

a__    :   Union[str, Any]								=			{
    'millimeter': 'mm',
    'centimeter': 'cm',
    'meter': 'm',
    'kilometer': 'km',
    'inch': 'in',
    'inche': 'in',  # Trailing 's' has been stripped off
    'feet': 'ft',
    'foot': 'ft',
    'yard': 'yd',
    'mile': 'mi',
}

a__    :   Optional[int]								=			{
    'mm': from_to(0.001, 1_0_0_0),
    'cm': from_to(0.01, 1_0_0),
    'm': from_to(1, 1),
    'km': from_to(1_0_0_0, 0.001),
    'in': from_to(0.0254, 39.3701),
    'ft': from_to(0.3048, 3.28084),
    'yd': from_to(0.9144, 1.09361),
    'mi': from_to(1609.34, 0.000621371),
}







def _UpperCamelCase			(	__A ,     __A ,     __A       )				->						float:


      '''simple docstring'''



      UpperCamelCase__      =							from_type.lower().rstrip("s"       )
      UpperCamelCase__      =							TYPE_CONVERSION.get(__A ,     __A       )
      UpperCamelCase__      =							to_type.lower().rstrip("s"       )
      UpperCamelCase__      =							TYPE_CONVERSION.get(__A ,     __A       )
      if new_from not in METRIC_CONVERSION:
            UpperCamelCase__      =							(
                F'''Invalid \'from_type\' value: {from_type!r}.\n'''
                F'''Conversion abbreviations are: {', '.join(__A       )}'''
            )
            raise ValueError(__A       )
      if new_to not in METRIC_CONVERSION:
            UpperCamelCase__      =							(
                F'''Invalid \'to_type\' value: {to_type!r}.\n'''
                F'''Conversion abbreviations are: {', '.join(__A       )}'''
            )
            raise ValueError(__A       )
      return value * METRIC_CONVERSION[new_from].from_ * METRIC_CONVERSION[new_to].to


if __name__ == "__main__":
  import doctest

  doctest.testmod()









'''simple docstring'''







from __future__ import annotations

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

a__    :   Dict								=			TypeVar('T')
a__    :   Optional[Any]								=			TypeVar('U')
class    lowercase_	(       Generic[T, U]  ):


    def __init__(	self    ,   a    ,   a       ):
          UpperCamelCase__      =							key
          UpperCamelCase__      =							val
          UpperCamelCase__      =							0
          UpperCamelCase__      =							None
          UpperCamelCase__      =							None


    def __repr__(	self       ):
          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    lowercase_	(       Generic[T, U]  ):


    def __init__(	self       ):
          UpperCamelCase__      =							DoubleLinkedListNode(a    ,   a       )
          UpperCamelCase__      =							DoubleLinkedListNode(a    ,   a       )
          UpperCamelCase__   ,      UpperCamelCase__      =							self.rear, self.head


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


    def   __a				(	self    ,   a       ):
          UpperCamelCase__      =							self.rear.prev

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

          UpperCamelCase__      =							node
          UpperCamelCase__      =							previous
          UpperCamelCase__      =							node
          UpperCamelCase__      =							self.rear
          node.freq += 1
          self._position_node(a       )


    def   __a				(	self    ,   a       ):

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

                UpperCamelCase__      =							previous_node.prev
                UpperCamelCase__      =							node.prev
                UpperCamelCase__      =							previous_node
                UpperCamelCase__      =							node


    def   __a				(	self    ,   a       ):

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

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

class    lowercase_	(       Generic[T, U]  ):
    __UpperCAmelCase       =      {}


    def __init__(	self    ,   a       ):
          UpperCamelCase__      =							DoubleLinkedList()
          UpperCamelCase__      =							capacity
          UpperCamelCase__      =							0
          UpperCamelCase__      =							0
          UpperCamelCase__      =							0
          UpperCamelCase__      =							{}


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


    def __contains__(	self    ,   a       ):
          return key in self.cache


    def   __a				(	self    ,   a       ):

          if key in self.cache:
                self.hits += 1
                UpperCamelCase__      =							self.cache[key]
                UpperCamelCase__      =							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(a       )
                return node.val
          self.miss += 1
          return None


    def   __a				(	self    ,   a    ,   a       ):

          if key not in self.cache:
                if self.num_keys >= self.capacity:
                      # delete first node when over capacity
                      UpperCamelCase__      =							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(a       ) is not None
                      # first_node guaranteed to be in list

                      del self.cache[first_node.key]
                      self.num_keys -= 1
                UpperCamelCase__      =							DoubleLinkedListNode(a    ,   a       )
                self.list.add(self.cache[key]       )
                self.num_keys += 1

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


    @classmethod
    def   __a				(	cls    ,   a = 1_28       ):

          def cache_decorator_inner(a       ) -> Callable[..., U]:
                def cache_decorator_wrapper(*a       ) -> U:
                      if func not in cls.decorator_function_to_instance_map:
                            UpperCamelCase__      =							LFUCache(a       )

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

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

                setattr(a    ,   "cache_info"    ,   a       )  # noqa: B010

                return cache_decorator_wrapper

          return cache_decorator_inner


if __name__ == "__main__":
  import doctest

  doctest.testmod()





