
'''simple docstring'''

from __future__ import annotations

from collections.abc import Iterator
from typing import Any


class  _UpperCAmelCase :

     """simple docstring"""

     def __init__(      self							,		lowerCAmelCase_ ):

       '''simple docstring'''

       a_      :	Any      =							data
       a_      :	Node | None      =							None







class  _UpperCAmelCase :

     """simple docstring"""

     def __init__(      self ):

       '''simple docstring'''

       a_      :	Optional[int]      =							None
       a_      :	Optional[Any]      =							None


     def __iter__(      self ):

       '''simple docstring'''

       a_      :	Optional[int]      =							self.head
       while self.head:
         yield node.data
         a_      :	Optional[int]      =							node.next
         if node == self.head:
           break


     def __len__(      self ):

       '''simple docstring'''

       return sum(1 for _ in self )


     def __repr__(      self ):

       '''simple docstring'''

       return "->".join(str(lowerCAmelCase_ ) for item in iter(self ) )


     def 							_lowerCAmelCase  (      self							,		lowerCAmelCase_ ):

       '''simple docstring'''

       self.insert_nth(len(self )							,		lowerCAmelCase_ )


     def 							_lowerCAmelCase  (      self							,		lowerCAmelCase_ ):

       '''simple docstring'''

       self.insert_nth(0							,		lowerCAmelCase_ )


     def 							_lowerCAmelCase  (      self							,		lowerCAmelCase_							,		lowerCAmelCase_ ):

       '''simple docstring'''

       if index < 0 or index > len(self ):
         raise IndexError("""list index out of range.""" )
       a_      :	List[Any]      =							Node(lowerCAmelCase_ )
       if self.head is None:
         a_      :	int      =							new_node  # first node points itself
         a_      :	int      =							new_node
       elif index == 0:  # insert at head
         a_      :	int      =							self.head
         a_      :	Union[str, Any]      =							new_node
       else:
         a_      :	Optional[Any]      =							self.head
         for _ in range(index - 1 ):
           a_      :	List[Any]      =							temp.next
         a_      :	Tuple      =							temp.next
         a_      :	int      =							new_node
         if index == len(self ) - 1:  # insert at tail
           a_      :	Optional[Any]      =							new_node


     def 							_lowerCAmelCase  (      self ):

       '''simple docstring'''

       return self.delete_nth(0 )


     def 							_lowerCAmelCase  (      self ):

       '''simple docstring'''

       return self.delete_nth(len(self ) - 1 )


     def 							_lowerCAmelCase  (      self							,		lowerCAmelCase_ = 0 ):

       '''simple docstring'''

       if not 0 <= index < len(self ):
         raise IndexError("""list index out of range.""" )
       a_      :	int      =							self.head
       if self.head == self.tail:  # just one node
         a_      :	Tuple      =							None
       elif index == 0:  # delete head node
         a_      :	int      =							self.tail.next.next
         a_      :	str      =							self.head.next
       else:
         a_      :	Dict      =							self.head
         for _ in range(index - 1 ):
           a_      :	Union[str, Any]      =							temp.next
         a_      :	Dict      =							temp.next
         a_      :	Dict      =							temp.next.next
         if index == len(self ) - 1:  # delete at tail
           a_      :	int      =							temp
       return delete_node.data






     def 							_lowerCAmelCase  (      self ):

       '''simple docstring'''

       return len(self ) == 0







def 	_snake_case						(      ):
  """simple docstring"""







  a_      :	List[Any]      =							CircularLinkedList()
  assert len(A_   ) == 0
  assert circular_linked_list.is_empty() is True
  assert str(A_   ) == ""

  try:
    circular_linked_list.delete_front()
    raise AssertionError  # This should not happen
  except IndexError:
    assert True  # This should happen

  try:
    circular_linked_list.delete_tail()
    raise AssertionError  # This should not happen
  except IndexError:
    assert True  # This should happen

  try:
    circular_linked_list.delete_nth(-1   )
    raise AssertionError
  except IndexError:
    assert True

  try:
    circular_linked_list.delete_nth(0   )
    raise AssertionError
  except IndexError:
    assert True

  assert circular_linked_list.is_empty() is True
  for i in range(5   ):
    assert len(A_   ) == i
    circular_linked_list.insert_nth(A_     ,		i + 1   )
  assert str(A_   ) == "->".join(str(A_   ) for i in range(1     ,		6   )   )

  circular_linked_list.insert_tail(6   )
  assert str(A_   ) == "->".join(str(A_   ) for i in range(1     ,		7   )   )
  circular_linked_list.insert_head(0   )
  assert str(A_   ) == "->".join(str(A_   ) for i in range(0     ,		7   )   )

  assert circular_linked_list.delete_front() == 0
  assert circular_linked_list.delete_tail() == 6
  assert str(A_   ) == "->".join(str(A_   ) for i in range(1     ,		6   )   )
  assert circular_linked_list.delete_nth(2   ) == 3

  circular_linked_list.insert_nth(2     ,		3   )
  assert str(A_   ) == "->".join(str(A_   ) for i in range(1     ,		6   )   )

  assert circular_linked_list.is_empty() is False


if __name__ == "__main__":
    import doctest

    doctest.testmod()




'''simple docstring'''

from __future__ import annotations






def 	_snake_case						(      A_       :    int   ):
  """simple docstring"""







  a_      :	Optional[Any]      =							2
  a_      :	int      =							[]
  while i * i <= n:
    if n % i:
      i += 1
    else:
      n //= i
      factors.append(A_   )
  if n > 1:
    factors.append(A_   )
  return factors


if __name__ == "__main__":
    import doctest

    doctest.testmod()


