




_lowerCamelCase      :  Union[str, Any]      						=						"Alexander Joslin"

import operator as op

from .stack import Stack




def 							_UpperCAmelCase  (UpperCamelCase_ : str       ):
				'''simple docstring'''
				_lowerCAmelCase    :    Any										=      {"""*""": op.mul, """/""": op.truediv, """+""": op.add, """-""": op.sub}

				_lowerCAmelCase    :    Stack[int]										=      Stack()
				_lowerCAmelCase    :    Stack[str]										=      Stack()

				for i in equation:
								if i.isdigit():
												# RULE 1
												operand_stack.push(int(UpperCamelCase_       )       )
								elif i in operators:
												# RULE 2
												operator_stack.push(UpperCamelCase_       )
								elif i == ")":
												# RULE 4
												_lowerCAmelCase    :    int										=      operator_stack.peek()
												operator_stack.pop()
												_lowerCAmelCase    :    List[str]										=      operand_stack.peek()
												operand_stack.pop()
												_lowerCAmelCase    :    Union[str, Any]										=      operand_stack.peek()
												operand_stack.pop()

												_lowerCAmelCase    :    Dict										=      operators[opr](UpperCamelCase_      ,    UpperCamelCase_       )
												operand_stack.push(UpperCamelCase_       )

    # RULE 5
				return operand_stack.peek()


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







from __future__ import annotations

from collections.abc import Iterator
from typing import Any
class        __snake_case  :



				def __init__(      self      :		List[Any]		,	_UpperCAmelCase      :		Any      )  ->    Dict:





								'''simple docstring'''




								_lowerCAmelCase    :    Any										=      data
								_lowerCAmelCase    :    Node | None										=      None






class        __snake_case  :



				def __init__(      self      :		Tuple      )  ->    Tuple:





								'''simple docstring'''




								_lowerCAmelCase    :    str										=      None
								_lowerCAmelCase    :    List[Any]										=      None



				def __iter__(      self      :		str      )  ->    Iterator[Any]:





								'''simple docstring'''




								_lowerCAmelCase    :    Optional[int]										=      self.head
								while self.head:
												yield node.data
												_lowerCAmelCase    :    List[str]										=      node.next
												if node == self.head:
																break



				def __len__(      self      :		Union[str, Any]      )  ->    int:





								'''simple docstring'''




								return sum(1 for _ in self      )



				def __repr__(      self      :		Optional[int]      )  ->    str:





								'''simple docstring'''




								return "->".join(str(_UpperCAmelCase      ) for item in iter(self      )      )



				def       SCREAMING_SNAKE_CASE       (      self      :		Any		,	_UpperCAmelCase      :		Any      )  ->    None:





								'''simple docstring'''




								self.insert_nth(len(self      )		,	_UpperCAmelCase      )



				def       SCREAMING_SNAKE_CASE       (      self      :		Dict		,	_UpperCAmelCase      :		Any      )  ->    None:





								'''simple docstring'''




								self.insert_nth(0		,	_UpperCAmelCase      )



				def       SCREAMING_SNAKE_CASE       (      self      :		List[str]		,	_UpperCAmelCase      :		int		,	_UpperCAmelCase      :		Any      )  ->    None:





								'''simple docstring'''




								if index < 0 or index > len(self      ):
												raise IndexError("""list index out of range."""      )
								_lowerCAmelCase    :    Optional[int]										=      Node(_UpperCAmelCase      )
								if self.head is None:
												_lowerCAmelCase    :    Tuple										=      new_node  # first node points itself
												_lowerCAmelCase    :    int										=      new_node
								elif index == 0:  # insert at head
												_lowerCAmelCase    :    Tuple										=      self.head
												_lowerCAmelCase    :    int										=      new_node
								else:
												_lowerCAmelCase    :    Union[str, Any]										=      self.head
												for _ in range(index - 1      ):
																_lowerCAmelCase    :    Optional[Any]										=      temp.next
												_lowerCAmelCase    :    Optional[int]										=      temp.next
												_lowerCAmelCase    :    Optional[int]										=      new_node
												if index == len(self      ) - 1:  # insert at tail
																_lowerCAmelCase    :    Optional[Any]										=      new_node



				def       SCREAMING_SNAKE_CASE       (      self      :		Dict      )  ->    str:





								'''simple docstring'''




								return self.delete_nth(0      )



				def       SCREAMING_SNAKE_CASE       (      self      :		List[str]      )  ->    Any:





								'''simple docstring'''




								return self.delete_nth(len(self      ) - 1      )



				def       SCREAMING_SNAKE_CASE       (      self      :		str		,	_UpperCAmelCase      :		int = 0      )  ->    Any:





								'''simple docstring'''




								if not 0 <= index < len(self      ):
												raise IndexError("""list index out of range."""      )
								_lowerCAmelCase    :    Optional[Any]										=      self.head
								if self.head == self.tail:  # just one node
												_lowerCAmelCase    :    Optional[Any]										=      None
								elif index == 0:  # delete head node
												_lowerCAmelCase    :    str										=      self.tail.next.next
												_lowerCAmelCase    :    List[str]										=      self.head.next
								else:
												_lowerCAmelCase    :    List[str]										=      self.head
												for _ in range(index - 1      ):
																_lowerCAmelCase    :    List[Any]										=      temp.next
												_lowerCAmelCase    :    List[str]										=      temp.next
												_lowerCAmelCase    :    Dict										=      temp.next.next
												if index == len(self      ) - 1:  # delete at tail
																_lowerCAmelCase    :    Optional[int]										=      temp
								return delete_node.data



				def       SCREAMING_SNAKE_CASE       (      self      :		int      )  ->    bool:





								'''simple docstring'''




								return len(self      ) == 0






def 							_UpperCAmelCase  ():
				'''simple docstring'''
				_lowerCAmelCase    :    Dict										=      CircularLinkedList()
				assert len(UpperCamelCase_       ) == 0
				assert circular_linked_list.is_empty() is True
				assert str(UpperCamelCase_       ) == ""

				try:
								circular_linked_list.delete_front()
								raise AssertionError  # This should not happen
				except IndexError:
								assert True  # This should happen

				try:
								circular_linked_list.delete_tail()
								raise AssertionError  # This should not happen
				except IndexError:
								assert True  # This should happen

				try:
								circular_linked_list.delete_nth(-1       )
								raise AssertionError
				except IndexError:
								assert True

				try:
								circular_linked_list.delete_nth(0       )
								raise AssertionError
				except IndexError:
								assert True

				assert circular_linked_list.is_empty() is True
				for i in range(5       ):
								assert len(UpperCamelCase_       ) == i
								circular_linked_list.insert_nth(UpperCamelCase_      ,    i + 1       )
				assert str(UpperCamelCase_       ) == "->".join(str(UpperCamelCase_       ) for i in range(1      ,    6       )       )

				circular_linked_list.insert_tail(6       )
				assert str(UpperCamelCase_       ) == "->".join(str(UpperCamelCase_       ) for i in range(1      ,    7       )       )
				circular_linked_list.insert_head(0       )
				assert str(UpperCamelCase_       ) == "->".join(str(UpperCamelCase_       ) for i in range(0      ,    7       )       )

				assert circular_linked_list.delete_front() == 0
				assert circular_linked_list.delete_tail() == 6
				assert str(UpperCamelCase_       ) == "->".join(str(UpperCamelCase_       ) for i in range(1      ,    6       )       )
				assert circular_linked_list.delete_nth(2       ) == 3

				circular_linked_list.insert_nth(2      ,    3       )
				assert str(UpperCamelCase_       ) == "->".join(str(UpperCamelCase_       ) for i in range(1      ,    6       )       )

				assert circular_linked_list.is_empty() is False


if __name__ == "__main__":
	import doctest

	doctest.testmod()

