






"""simple docstring"""





from __future__ import annotations

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

A__					: Optional[Any]=	TypeVar("""T""")
A__					: Optional[Any]=	TypeVar("""U""")
class    __lowerCamelCase    (  Generic[T, U]  ):

   def __init__(					self ,				snake_case_ ,				snake_case_      )		->       str:
       UpperCamelCase__         =    key
       UpperCamelCase__         =    val
       UpperCamelCase__         =    None
       UpperCamelCase__         =    None







   def __repr__(					self      )		->       str:
       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]  ):

   def __init__(					self      )		->       None:
       UpperCamelCase__         =    DoubleLinkedListNode(snake_case_ ,				snake_case_      )
       UpperCamelCase__         =    DoubleLinkedListNode(snake_case_ ,				snake_case_      )
       UpperCamelCase__       ,						UpperCamelCase__         =    self.rear, self.head

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

   def 						SCREAMING_SNAKE_CASE__ (					self ,				snake_case_      )		->       None:
       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







   def 						SCREAMING_SNAKE_CASE__ (					self ,				snake_case_      )		->       DoubleLinkedListNode[T, U] | None:

       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    __lowerCamelCase    (  Generic[T, U]  ):
   a      :				dict[Callable[[T], U], LRUCache[T, U]] 						={}

   def __init__(					self ,				snake_case_      )		->       Tuple:
       UpperCamelCase__         =    DoubleLinkedList()
       UpperCamelCase__         =    capacity
       UpperCamelCase__         =    0
       UpperCamelCase__         =    0
       UpperCamelCase__         =    0
       UpperCamelCase__         =    {}

   def __repr__(					self      )		->       str:
       return (
           F'CacheInfo(hits={self.hits}, misses={self.miss}, '
           F'capacity={self.capacity}, current size={self.num_keys})'
       )

   def __contains__(					self ,				snake_case_      )		->       bool:
       return key in self.cache

   def 						SCREAMING_SNAKE_CASE__ (					self ,				snake_case_      )		->       U | None:
       # Note: pythonic interface would throw KeyError rather than return None

       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(snake_case_      )
           return node.val
       self.miss += 1
       return None

   def 						SCREAMING_SNAKE_CASE__ (					self ,				snake_case_ ,				snake_case_      )		->       None:

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

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







   @classmethod
   def 						SCREAMING_SNAKE_CASE__ (					cls ,				snake_case_ = 128      )		->       Callable[[Callable[[T], U]], Callable[..., U]]:

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

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

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

           setattr(snake_case_ ,				'cache_info' ,				snake_case_      )  # noqa: B010

           return cache_decorator_wrapper

       return cache_decorator_inner


if __name__ == "__main__":
  import doctest

  doctest.testmod()












"""simple docstring"""





A__					: Tuple=	"""Alexander Joslin"""

import operator as op

from .stack import Stack







def   lowerCAmelCase_( SCREAMING_SNAKE_CASE					)					->	int:
    """simple docstring"""

    UpperCamelCase__         =    {'*': op.mul, '/': op.truediv, '+': op.add, '-': op.sub}

    UpperCamelCase__         =    Stack()
    UpperCamelCase__         =    Stack()

    for i in equation:
        if i.isdigit():
            # RULE 1
            operand_stack.push(int(SCREAMING_SNAKE_CASE					)					)
        elif i in operators:
            # RULE 2
            operator_stack.push(SCREAMING_SNAKE_CASE					)
        elif i == ")":
            # RULE 4
            UpperCamelCase__         =    operator_stack.peek()
            operator_stack.pop()
            UpperCamelCase__         =    operand_stack.peek()
            operand_stack.pop()
            UpperCamelCase__         =    operand_stack.peek()
            operand_stack.pop()

            UpperCamelCase__         =    operators[opr](SCREAMING_SNAKE_CASE ,	SCREAMING_SNAKE_CASE					)
            operand_stack.push(SCREAMING_SNAKE_CASE					)

    # RULE 5
    return operand_stack.peek()


if __name__ == "__main__":
  A__					: int=	"""(5 + ((4 * 2) * (2 + 3)))"""
  # answer = 45
  print(F"""{equation} = {dijkstras_two_stack_algorithm(equation)}""")




