


'''simple docstring'''

a_						:       Any      			=				"""Alexander Joslin"""

import operator as op

from .stack import Stack





def __snake_case      (   UpperCAmelCase_		:		List[Any]					):
 lowerCamelCase_  				=						{"*": op.mul, "/": op.truediv, "+": op.add, "-": op.sub}

 lowerCamelCase_  				=						Stack()
 lowerCamelCase_  				=						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_  				=						operator_stack.peek()
   operator_stack.pop()
   lowerCamelCase_  				=						operand_stack.peek()
   operand_stack.pop()
   lowerCamelCase_  				=						operand_stack.peek()
   operand_stack.pop()

   lowerCamelCase_  				=						operators[opr](UpperCAmelCase_      ,       UpperCAmelCase_					)
   operand_stack.push(UpperCAmelCase_					)

    # RULE 5
 return operand_stack.peek()


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







'''simple docstring'''

from __future__ import annotations





def __snake_case      (   UpperCAmelCase_		:		int      ,       UpperCAmelCase_		:		int	):
 if b == 0:
  return (1, 0)
 ((lowerCamelCase_)				,(lowerCamelCase_))  				=						extended_euclid(UpperCAmelCase_      ,       a % b	)
 lowerCamelCase_  				=						a // b
 return (y, x - k * y)





def __snake_case      (   UpperCAmelCase_		:		int      ,       UpperCAmelCase_		:		int      ,       UpperCAmelCase_		:		int      ,       UpperCAmelCase_		:		int	):
 ((lowerCamelCase_)				,(lowerCamelCase_))  				=						extended_euclid(UpperCAmelCase_      ,       UpperCAmelCase_	)
 lowerCamelCase_  				=						na * na
 lowerCamelCase_  				=						ra * x * na + ra * y * na
 return (n % m + m) % m





def __snake_case      (   UpperCAmelCase_		:		int      ,       UpperCAmelCase_		:		int	):
 ((lowerCamelCase_)				,(lowerCamelCase_))  				=						extended_euclid(UpperCAmelCase_      ,       UpperCAmelCase_	)
 if b < 0:
  lowerCamelCase_  				=						(b % n + n) % n
 return b





def __snake_case      (   UpperCAmelCase_		:		int      ,       UpperCAmelCase_		:		int      ,       UpperCAmelCase_		:		int      ,       UpperCAmelCase_		:		int	):
 lowerCamelCase_				,lowerCamelCase_  				=						invert_modulo(UpperCAmelCase_      ,       UpperCAmelCase_	), invert_modulo(UpperCAmelCase_      ,       UpperCAmelCase_	)
 lowerCamelCase_  				=						na * na
 lowerCamelCase_  				=						ra * x * na + ra * y * na
 return (n % m + m) % m


if __name__ == "__main__":
     from doctest import testmod

     testmod(name="""chinese_remainder_theorem""", verbose=True)
     testmod(name="""chinese_remainder_theorem2""", verbose=True)
     testmod(name="""invert_modulo""", verbose=True)
     testmod(name="""extended_euclid""", verbose=True)



