
from __future__ import annotations

import math

def a__    (       A_					):






  '''simple docstring'''





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

  __magic_name__				     =       [True] * (num + 1)
  __magic_name__				     =       []
  __magic_name__				     =       2
  __magic_name__				     =       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:
          __magic_name__				     =       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())))



from __future__ import annotations

from collections.abc import Iterator




class        UpperCAmelCase_			:


  '''simple docstring'''







  def __init__( self			: Dict			,							UpperCamelCase__			: int    )			->	None:







    """simple docstring"""






    __magic_name__				     =       value
    __magic_name__				     =       None
    __magic_name__				     =       None







class        UpperCAmelCase_			:


  '''simple docstring'''







  def __init__( self			: Union[str, Any]			,							UpperCamelCase__			: Node    )			->	None:







    """simple docstring"""






    __magic_name__				     =       tree
  def 							_lowercase							( self			: Optional[Any]			,							UpperCamelCase__			: Node | None    )			->	int:







    """simple docstring"""






    if node is None:
      return 0
    return node.value + (
        self.depth_first_search(node.left    ) + self.depth_first_search(node.right    )
    )





  def __iter__( self			: int    )			->	Iterator[int]:







    """simple docstring"""






    yield self.depth_first_search(self.tree    )


if __name__ == "__main__":
    import doctest

    doctest.testmod()

