




'''simple docstring'''





from __future__ import annotations

import math


def 					UpperCamelCase_(     snake_case							:	int					):

							'''simple docstring'''






							if num <= 0:
														snake_case_      =				f'{num}: Invalid input, please enter a positive integer.'
														raise ValueError(snake_case					)

							snake_case_      =				[True] * (num + 1)
							snake_case_      =				[]
							snake_case_      =				2
							snake_case_      =				int(math.sqrt(snake_case					)					)

							while start <= end:
														# If start is a prime
														if sieve[start] is True:
																					prime.append(snake_case					)

																					# Set multiples of start be False
																					for i in range(start * start							,    num + 1							,    snake_case					):
																												if sieve[i] is True:
																																			snake_case_      =				False

														start += 1

							for j in range(end + 1							,    num + 1					):
														if sieve[j] is True:
																					prime.append(snake_case					)

							return prime


if __name__ == "__main__":
		print(prime_sieve(int(input("Enter a positive integer: ").strip())))










'''simple docstring'''





_SCREAMING_SNAKE_CASE							:       Optional[int]						=			"Alexander Joslin"

import operator as op

from .stack import Stack


def 					UpperCamelCase_(     snake_case							:	str					):

							'''simple docstring'''






							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(snake_case					)					)
														elif i in operators:
																					# RULE 2
																					operator_stack.push(snake_case					)
														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](snake_case							,    snake_case					)
																					operand_stack.push(snake_case					)

    # RULE 5
							return operand_stack.peek()


if __name__ == "__main__":
		_SCREAMING_SNAKE_CASE							:       List[Any]						=			"(5 + ((4 * 2) * (2 + 3)))"
		# answer = 45
		print(F"{equation} = {dijkstras_two_stack_algorithm(equation)}")




