




from __future__ import annotations

import math







def   _SCREAMING_SNAKE_CASE       (							lowercase_      ,			lowercase_      ,			lowercase_      ,			lowercase_      ,			lowercase_						)						->		List[str]:






 if depth < 0:
  raise ValueError("Depth cannot be less than 0"						)

 if not scores:
  raise ValueError("Scores cannot be empty"						)

 if depth == height:
  return scores[node_index]

 return (
     max(
         minimax(depth + 1      ,			node_index * 2      ,			_a      ,			_a      ,			_a						)      ,			minimax(depth + 1      ,			node_index * 2 + 1      ,			_a      ,			_a      ,			_a						)      ,			)
     if is_max
     else min(
         minimax(depth + 1      ,			node_index * 2      ,			_a      ,			_a      ,			_a						)      ,			minimax(depth + 1      ,			node_index * 2 + 1      ,			_a      ,			_a      ,			_a						)      ,			)
 )







def   _SCREAMING_SNAKE_CASE       (							)						->		List[str]:
 A__	=    [90, 23, 6, 33, 21, 65, 1_23, 3_44_23]
 A__	=    math.log(len(_a						)      ,			2						)
 print(f"""Optimal value : {minimax(0      ,			0      ,			_a      ,			_a      ,			_a						)}"""						)


if __name__ == "__main__":
      import doctest

      doctest.testmod()
      main()











"""simple docstring"""



SCREAMING_SNAKE_CASE    =	"Alexander Joslin"

import operator as op

from .stack import Stack







def   _SCREAMING_SNAKE_CASE       (							lowercase_						)						->		int:
 A__	=    {"*": op.mul, "/": op.truediv, "+": op.add, "-": op.sub}

 A__	=    Stack()
 A__	=    Stack()

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

   A__	=    operators[opr](lowercase_      ,			lowercase_						)
   operand_stack.push(lowercase_						)

    # RULE 5
 return operand_stack.peek()


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





