





from __future__ import annotations






def 							_lowerCAmelCase (  _a   :					list[int]			)	->			list[int]:  # This function is recursive
     lowerCAmelCase_					:       List[Any]    =		len(_a			)
     # If the array contains only one element, we return it (it's the stop condition of
     # recursion)
     if array_length <= 1:
          return array
          # Else
     lowerCAmelCase_					:       Union[str, Any]    =		array[0]
     lowerCAmelCase_					:       str    =		False
     lowerCAmelCase_					:       Optional[int]    =		1
     lowerCAmelCase_					:       list[int]    =		[]
     while not is_found and i < array_length:
          if array[i] < pivot:
               lowerCAmelCase_					:       Optional[Any]    =		True
               lowerCAmelCase_					:       Tuple    =		[element for element in array[i:] if element >= array[i]]
               lowerCAmelCase_					:       Any    =		longest_subsequence(_a			)
               if len(_a			) > len(_a			):
                    lowerCAmelCase_					:       List[Any]    =		temp_array
          else:
               i += 1

     lowerCAmelCase_					:       Tuple    =		[element for element in array[1:] if element >= pivot]
     lowerCAmelCase_					:       List[Any]    =		[pivot, *longest_subsequence(_a			)]
     if len(_a			) > len(_a			):
          return temp_array
     else:
          return longest_subseq


if __name__ == "__main__":
      import doctest

      doctest.testmod()







UpperCAmelCase_					:   str 							=						"""Alexander Joslin"""

import operator as op

from .stack import Stack






def 							_lowerCAmelCase (  _a   :					str			)	->			int:
     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(_a			)			)
          elif i in operators:
               # RULE 2
               operator_stack.push(_a			)
          elif i == ")":
               # RULE 4
               lowerCAmelCase_					:       Optional[int]    =		operator_stack.peek()
               operator_stack.pop()
               lowerCAmelCase_					:       Union[str, Any]    =		operand_stack.peek()
               operand_stack.pop()
               lowerCAmelCase_					:       List[str]    =		operand_stack.peek()
               operand_stack.pop()

               lowerCAmelCase_					:       Dict    =		operators[opr](_a					,   _a			)
               operand_stack.push(_a			)

    # RULE 5
     return operand_stack.peek()


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