



'''simple docstring'''





from __future__ import annotations

import math




def lowerCAmelCase  (__A):



     """simple docstring"""



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

     _a      =  [True] * (num + 1)
     _a      =  []
     _a      =  2
     _a      =  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      =  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     __lowerCAmelCase			(			a__						,    a__						,    a__  )       ->  list:
				__a										=    len(a__  )
				__a										=    [[0] * n for i in range(a__  )]
				for i in range(a__  ):
								__a										=    y_points[i]

				for i in range(2						,    a__  ):
								for j in range(a__						,    a__  ):
												__a										=    (
												    (xa - x_points[j - i + 1]) * q[j][i - 1]
												    - (xa - x_points[j]) * q[j - 1][i - 1]
												) / (x_points[j] - x_points[j - i + 1])

				return [q[n - 1][n - 1], q]


if __name__ == "__main__":
					import doctest

					doctest.testmod()