


lowerCAmelCase__    :Optional[Any]       =				'''Alexander Joslin'''

import operator as op

from .stack import Stack

def 			lowerCAmelCase__					(     a__:						str			)    ->						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(a__			)			)
														elif i in operators:
																					# RULE 2
																					operator_stack.push(a__			)
														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](a__     ,    a__			)
																					operand_stack.push(a__			)

    # RULE 5
							return operand_stack.peek()


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




def 			lowerCAmelCase__					(     a__:						int     ,    a__:						int			)    ->						int:


							'''simple docstring'''





							return x if y == 0 else greatest_common_divisor(a__     ,    x % y			)

def 			lowerCAmelCase__					(     a__:						int     ,    a__:						int			)    ->						int:


							'''simple docstring'''





							return (x * y) // greatest_common_divisor(a__     ,    a__			)

def 			lowerCAmelCase__					(     a__:						int = 2_0			)    ->						int:


							'''simple docstring'''





							_UpperCAmelCase											=     1
							for i in range(1     ,    n + 1			):
														_UpperCAmelCase											=     lcm(a__     ,    a__			)
							return g


if __name__ == "__main__":
		print(f'''{solution() = }''')
