
"""simple docstring"""




from __future__ import annotations




def  _lowerCAmelCase		(		_UpperCamelCase ,				_UpperCamelCase ,				_UpperCamelCase						):






  """simple docstring"""



  if days_between_payments <= 0:
    raise ValueError('''days_between_payments must be > 0'''						)
  if daily_interest_rate < 0:
    raise ValueError('''daily_interest_rate must be >= 0'''						)
  if principal <= 0:
    raise ValueError('''principal must be > 0'''						)
  return principal * daily_interest_rate * days_between_payments




def  _lowerCAmelCase		(		_UpperCamelCase ,				_UpperCamelCase ,				_UpperCamelCase ,				):






  """simple docstring"""



  if number_of_compounding_periods <= 0:
    raise ValueError('''number_of_compounding_periods must be > 0'''						)
  if nominal_annual_interest_rate_percentage < 0:
    raise ValueError('''nominal_annual_interest_rate_percentage must be >= 0'''						)
  if principal <= 0:
    raise ValueError('''principal must be > 0'''						)

  return principal * (
      (1 + nominal_annual_interest_rate_percentage) ** number_of_compounding_periods
      - 1
  )




def  _lowerCAmelCase		(		_UpperCamelCase ,				_UpperCamelCase ,				_UpperCamelCase ,				):






  """simple docstring"""



  if number_of_years <= 0:
    raise ValueError('''number_of_years must be > 0'''						)
  if nominal_annual_percentage_rate < 0:
    raise ValueError('''nominal_annual_percentage_rate must be >= 0'''						)
  if principal <= 0:
    raise ValueError('''principal must be > 0'''						)

  return compound_interest(
      _UpperCamelCase ,				nominal_annual_percentage_rate / 365 ,				number_of_years * 365						)


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))
