from __future__ import annotations

import math




def       lowerCAmelCase_     (		lowercase:							int		)    ->				list[int]:







 '''simple docstring'''

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

 _UpperCamelCase:     Optional[Any]							= [True] * (num + 1)
 _UpperCamelCase:     Any							= []
 _UpperCamelCase:     Union[str, Any]							= 2
 _UpperCamelCase:     int							= int(math.sqrt(lowercase		)		)

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

   # Set multiples of start be False
   for i in range(start * start  ,					num + 1  ,					lowercase		):
    if sieve[i] is True:
     _UpperCamelCase:     Optional[int]							= False

  start += 1

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

 return prime


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




class  __magic_name__  :





   """simple docstring"""




   def __init__(	self					:  Any		,  _lowercase					:  Dict=None							):



    """simple docstring"""



    _UpperCamelCase:     Tuple							= data
    _UpperCamelCase:     int							= None



   def __repr__(	self					:  Dict							):



    """simple docstring"""



    _UpperCamelCase:     int							= []
    _UpperCamelCase:     str							= self
    while temp:
     string_rep.append(f"""{temp.data}"""							)
     _UpperCamelCase:     Optional[Any]							= temp.next
    return "->".join(_lowercase							)




def       lowerCAmelCase_     (		lowercase:							list		)    ->				Optional[int]:







 '''simple docstring'''
 if not elements_list:
  raise Exception('''The Elements List is empty'''		)

 _UpperCamelCase:     Optional[Any]							= Node(elements_list[0]		)
 for i in range(1  ,					len(lowercase		)		):
  _UpperCamelCase:     Union[str, Any]							= Node(elements_list[i]		)
  _UpperCamelCase:     Optional[int]							= current.next
 return head




def       lowerCAmelCase_     (		lowercase:							Node		)    ->				None:







 '''simple docstring'''
 if head_node is not None and isinstance(lowercase  ,					lowercase		):
  print_reverse(head_node.next		)
  print(head_node.data		)




def       lowerCAmelCase_     (		)    ->				Tuple:







 '''simple docstring'''
 from doctest import testmod

 testmod()

 _UpperCamelCase:     Any							= make_linked_list([14, 52, 14, 12, 43]		)
 print('''Linked List:'''		)
 print(lowercase		)
 print('''Elements in Reverse:'''		)
 print_reverse(lowercase		)


if __name__ == "__main__":
  main()