






"""simple docstring"""




from __future__ import annotations

import math

def 			lowerCAmelCase__     (     UpperCamelCase__				):



  '''simple docstring'''





  if num <= 0:
    _a  :       int             =	F"""{num}: Invalid input, please enter a positive integer."""
    raise ValueError(A_				)

  _a  :       str             =	[True] * (num + 1)
  _a  :       Dict             =	[]
  _a  :       Dict             =	2
  _a  :       List[Any]             =	int(math.sqrt(A_				)				)

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

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

    start += 1

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

  return prime


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



def a__    (       A_					):






  '''simple docstring'''





  if not isinstance(A_,     A_					):
    raise ValueError("""Input series is not valid, valid series - [2, 4, 6]"""					)
  if len(A_					) == 0:
    raise ValueError("""Input list must be a non empty list"""					)
  if len(A_					) == 1:
    return True
  __magic_name__				     =       series[1] - series[0]
  for index in range(len(A_					) - 1					):
    if series[index + 1] - series[index] != common_diff:
      return False
  return True

def a__    (       A_					):






  '''simple docstring'''





  if not isinstance(A_,     A_					):
    raise ValueError("""Input series is not valid, valid series - [2, 4, 6]"""					)
  if len(A_					) == 0:
    raise ValueError("""Input list must be a non empty list"""					)
  __magic_name__				     =       0
  for val in series:
    answer += val
  return answer / len(A_					)


if __name__ == "__main__":
    import doctest

    doctest.testmod()

