
"""simple docstring"""




from random import randint, random




def  _lowerCAmelCase		(		_UpperCamelCase ,				_UpperCamelCase ,				_UpperCamelCase ,				_UpperCamelCase = False ,				_UpperCamelCase = False ,				_UpperCamelCase = 5 ,				):






  """simple docstring"""



  _lowercase:			int       =     [[-1] * number_of_cells]  # Create a highway without any car
  _lowercase:			List[Any]       =     0
  _lowercase:			List[str]       =     max(_UpperCamelCase ,				0						)
  while i < number_of_cells:
    _lowercase:			int       =     (
        randint(0 ,				_UpperCamelCase						) if random_speed else initial_speed
    )  # Place the cars
    i += (
        randint(1 ,				max_speed * 2						) if random_frequency else frequency
    )  # Arbitrary number, may need tuning
  return highway




def  _lowerCAmelCase		(		_UpperCamelCase ,				_UpperCamelCase						):






  """simple docstring"""



  _lowercase:			Optional[Any]       =     0
  _lowercase:			Optional[Any]       =     highway_now[car_index + 1 :]
  for cell in range(len(_UpperCamelCase						)						):  # May need a better name for this
    if cells[cell] != -1:  # If the cell is not empty then
      return distance  # we have the distance we wanted
    distance += 1
  # Here if the car is near the end of the highway
  return distance + get_distance(_UpperCamelCase ,				-1						)




def  _lowerCAmelCase		(		_UpperCamelCase ,				_UpperCamelCase ,				_UpperCamelCase						):






  """simple docstring"""



  _lowercase:			Dict       =     len(_UpperCamelCase						)
  # Beforce calculations, the highway is empty
  _lowercase:			List[str]       =     [-1] * number_of_cells

  for car_index in range(_UpperCamelCase						):
    if highway_now[car_index] != -1:
      # Add 1 to the current speed of the car and cap the speed
      _lowercase:			Dict       =     min(highway_now[car_index] + 1 ,				_UpperCamelCase						)
      # Number of empty cell before the next car
      _lowercase:			str       =     get_distance(_UpperCamelCase ,				_UpperCamelCase						) - 1
      # We can't have the car causing an accident
      _lowercase:			Optional[Any]       =     min(next_highway[car_index] ,				_UpperCamelCase						)
      if random() < probability:
        # Randomly, a driver will slow down
        _lowercase:			Optional[Any]       =     max(next_highway[car_index] - 1 ,				0						)
  return next_highway




def  _lowerCAmelCase		(		_UpperCamelCase ,				_UpperCamelCase ,				_UpperCamelCase ,				_UpperCamelCase						):






  """simple docstring"""



  _lowercase:			int       =     len(highway[0]						)

  for i in range(_UpperCamelCase						):
    _lowercase:			List[str]       =     update(highway[i] ,				_UpperCamelCase ,				_UpperCamelCase						)
    _lowercase:			Optional[Any]       =     [-1] * number_of_cells

    for car_index in range(_UpperCamelCase						):
      _lowercase:			int       =     next_speeds_calculated[car_index]
      if speed != -1:
        # Change the position based on the speed (with % to create the loop)
        _lowercase:			Tuple       =     (car_index + speed) % number_of_cells
        # Commit the change of position
        _lowercase:			List[str]       =     speed
    highway.append(_UpperCamelCase						)

  return highway


if __name__ == "__main__":
  import doctest

  doctest.testmod()


"""simple docstring"""




def  _lowerCAmelCase		(		_UpperCamelCase						):






  """simple docstring"""



  if num <= 0:
    raise ValueError('''Input must be a positive integer'''						)

  _lowercase:			Tuple       =     [True] * (num + 1)

  _lowercase:			List[str]       =     2
  while p * p <= num:
    if primes[p]:
      for i in range(p * p ,				num + 1 ,				_UpperCamelCase						):
        _lowercase:			List[str]       =     False
    p += 1

  return [prime for prime in range(2 ,				num + 1						) if primes[prime]]


if __name__ == "__main__":
  import doctest

  doctest.testmod()

  A__   :					List[Any]							=   int(input('Enter a positive integer: ').strip())
  print(prime_sieve_eratosthenes(user_num))
