



from __future__ import annotations

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

a_    :  Dict						  =		TypeVar('T')
a_    :  Union[str, Any]						  =		TypeVar('U')





class  lowerCamelCase__	(    Generic[T, U]):
     """simple docstring"""



     def __init__(self					,      __a					,      __a     ):






           '''simple docstring'''



           lowerCamelCase             =		key
           lowerCamelCase             =		val
           lowerCamelCase             =		None
           lowerCamelCase             =		None







     def __repr__(self     ):






           '''simple docstring'''



           return (
               F"""Node: key: {self.key}, val: {self.val}, """
               F"""has next: {bool(self.next     )}, has prev: {bool(self.prev     )}"""
           )





class  lowerCamelCase__	(    Generic[T, U]):
     """simple docstring"""



     def __init__(self     ):






           '''simple docstring'''



           lowerCamelCase             =		DoubleLinkedListNode(__a					,      __a     )
           lowerCamelCase             =		DoubleLinkedListNode(__a					,      __a     )
           lowerCamelCase      ,				lowerCamelCase             =		self.rear, self.head







     def __repr__(self     ):






           '''simple docstring'''



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







     def     _a   (self					,      __a     ):






           '''simple docstring'''



           lowerCamelCase             =		self.rear.prev

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

           lowerCamelCase             =		node
           lowerCamelCase             =		previous
           lowerCamelCase             =		node
           lowerCamelCase             =		self.rear







     def     _a   (self					,      __a     ):






           '''simple docstring'''



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

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





class  lowerCamelCase__	(    Generic[T, U]):
     """simple docstring"""



     _A      =      {}







     def __init__(self					,      __a     ):






           '''simple docstring'''



           lowerCamelCase             =		DoubleLinkedList()
           lowerCamelCase             =		capacity
           lowerCamelCase             =		0
           lowerCamelCase             =		0
           lowerCamelCase             =		0
           lowerCamelCase             =		{}







     def __repr__(self     ):






           '''simple docstring'''



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







     def __contains__(self					,      __a     ):






           '''simple docstring'''



           return key in self.cache







     def     _a   (self					,      __a     ):






           '''simple docstring'''



           if key in self.cache:
                 self.hits += 1
                 lowerCamelCase             =		self.cache[key]
                 lowerCamelCase             =		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     ):






           '''simple docstring'''



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

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

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







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






           '''simple docstring'''



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

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

                 def cache_info() -> LRUCache[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()




from __future__ import annotations

from math import pow, sqrt

def      __lowercase(						UpperCAmelCase__ , UpperCAmelCase__ , UpperCAmelCase__			):


      """simple docstring"""



      if (resistance, reactance, impedance).count(0			) != 1:
            raise ValueError("One and only one argument must be 0"			)
      if resistance == 0:
            return {"resistance": sqrt(pow(UpperCAmelCase__ , 2			) - pow(UpperCAmelCase__ , 2			)			)}
      elif reactance == 0:
            return {"reactance": sqrt(pow(UpperCAmelCase__ , 2			) - pow(UpperCAmelCase__ , 2			)			)}
      elif impedance == 0:
            return {"impedance": sqrt(pow(UpperCAmelCase__ , 2			) + pow(UpperCAmelCase__ , 2			)			)}
      else:
            raise ValueError("Exactly one argument must be 0"			)


if __name__ == "__main__":
     import doctest

     doctest.testmod()