


from __future__ import annotations

from collections.abc import Iterable, Iterator
from dataclasses import dataclass

snake_case				:    int       				=     (3, 9, -11, 0, 7, 5, 1, -1)
snake_case				:    Optional[Any]       				=     (4, 6, 2, 0, 8, 10, 3, -2)







@dataclass
class 		_snake_case  :
 SCREAMING_SNAKE_CASE__      =       42
 SCREAMING_SNAKE_CASE__      =       42







class 		_snake_case  :




 def __init__(		self					,  _lowerCamelCase    ):
       a						:Node | None 							=       None
       for i in sorted(_lowerCamelCase					,  reverse=_lowerCamelCase    ):
             a						:int 							=       Node(_lowerCamelCase					,  self.head    )




 def __iter__(		self    ):
       a						:Dict 							=       self.head
       while node:
             yield node.data
             a						:List[str] 							=       node.next_node




 def __len__(		self    ):
       return sum(1 for _ in self    )




 def __str__(		self    ):
       return " -> ".join([str(_lowerCamelCase    ) for node in self]    )







def 				__lowerCamelCase						( UpperCAmelCase_						:		SortedLinkedList ,  UpperCAmelCase_						:		SortedLinkedList						):




      """simple docstring"""





      return SortedLinkedList(list(UpperCAmelCase_						) + list(UpperCAmelCase_						)						)


if __name__ == "__main__":
     import doctest

     doctest.testmod()
     snake_case				:    List[str]       				=     SortedLinkedList
     print(merge_lists(SSL(test_data_odd), SSL(test_data_even)))









def 				__lowerCamelCase						( UpperCAmelCase_						:		int = 100_0000						):




      """simple docstring"""





      a						:Any 							=       set(range(3 ,  UpperCAmelCase_ ,  2						)						)
      primes.add(2						)
      for p in range(3 ,  UpperCAmelCase_ ,  2						):
            if p not in primes:
                  continue
            primes.difference_update(set(range(p * p ,  UpperCAmelCase_ ,  UpperCAmelCase_						)						)						)

      a						:Union[str, Any] 							=       [float(UpperCAmelCase_						) for n in range(limit + 1						)]

      for p in primes:
            for n in range(UpperCAmelCase_ ,  limit + 1 ,  UpperCAmelCase_						):
                  phi[n] *= 1 - 1 / p

      return int(sum(phi[2:]						)						)


if __name__ == "__main__":
     print(F"""{solution() = }""")





