




'''simple docstring'''

a       :						Dict								=		'''Alexander Joslin'''

import operator as op

from .stack import Stack


def __UpperCAmelCase	(   _UpperCAmelCase		:   str						)      ->      int:
			__snake_case			=		{"*": op.mul, "/": op.truediv, "+": op.add, "-": op.sub}

			__snake_case			=		Stack()
			__snake_case			=		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
									__snake_case			=		operator_stack.peek()
									operator_stack.pop()
									__snake_case			=		operand_stack.peek()
									operand_stack.pop()
									__snake_case			=		operand_stack.peek()
									operand_stack.pop()

									__snake_case			=		operators[opr](_UpperCAmelCase		,				_UpperCAmelCase						)
									operand_stack.push(_UpperCAmelCase						)

    # RULE 5
			return operand_stack.peek()


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












'''simple docstring'''




def 	__lowerCamelCase			(      __lowerCAmelCase       :							int		)		->  int:
   assert isinstance(__lowerCAmelCase      ,    __lowerCAmelCase		), F'''The input value of [n={number}] is not an integer'''

   if number == 1:
      return 2
   elif number < 1:
      snake_case 						=   F'''The input value of [n={number}] has to be > 0'''
      raise ValueError(__lowerCAmelCase		)
   else:
      snake_case 						=   sylvester(number - 1		)
      snake_case 						=   num - 1
      snake_case 						=   num
      return lower * upper + 1


if __name__ == "__main__":
 print(F"""The 8th number in Sylvester's sequence: {sylvester(8)}""")

