



from __future__ import annotations

from collections.abc import Iterator
from typing import Any



class 							lowerCAmelCase_						:
       def __init__(     self,     SCREAMING_SNAKE_CASE_			)	->						List[Any]:
          UpperCamelCase       :    Any		      =      data
          UpperCamelCase       :    Node | None		      =      None






class 							lowerCAmelCase_						:
       def __init__(     self			)	->						Tuple:
          UpperCamelCase       :    List[str]		      =      None
          UpperCamelCase       :    str		      =      None
       def __iter__(     self			)	->						Iterator[Any]:
          UpperCamelCase       :    List[str]		      =      self.head
          while self.head:
             yield node.data
             UpperCamelCase       :    Optional[Any]		      =      node.next
             if node == self.head:
                break
       def __len__(     self			)	->						int:
          return sum(1 for _ in self			)
       def __repr__(     self			)	->						Dict:
          return "->".join(str(SCREAMING_SNAKE_CASE_			) for item in iter(self			)			)
       def    snake_case_			(     self,     SCREAMING_SNAKE_CASE_			)	->						None:
          self.insert_nth(len(self			),     SCREAMING_SNAKE_CASE_			)
       def    snake_case_			(     self,     SCREAMING_SNAKE_CASE_			)	->						None:
          self.insert_nth(0,     SCREAMING_SNAKE_CASE_			)
       def    snake_case_			(     self,     SCREAMING_SNAKE_CASE_,     SCREAMING_SNAKE_CASE_			)	->						None:
          if index < 0 or index > len(self			):
             raise IndexError('list index out of range.'			)
          UpperCamelCase       :    Dict		      =      Node(SCREAMING_SNAKE_CASE_			)
          if self.head is None:
             UpperCamelCase       :    Dict		      =      new_node  # first node points itself
             UpperCamelCase       :    Tuple		      =      new_node
          elif index == 0:  # insert at head
             UpperCamelCase       :    List[str]		      =      self.head
             UpperCamelCase       :    Optional[int]		      =      new_node
          else:
             UpperCamelCase       :    List[Any]		      =      self.head
             for _ in range(index - 1			):
                UpperCamelCase       :    List[str]		      =      temp.next
             UpperCamelCase       :    List[str]		      =      temp.next
             UpperCamelCase       :    Optional[int]		      =      new_node
             if index == len(self			) - 1:  # insert at tail
                UpperCamelCase       :    Union[str, Any]		      =      new_node
       def    snake_case_			(     self			)	->						Optional[Any]:
          return self.delete_nth(0			)
       def    snake_case_			(     self			)	->						Any:
          return self.delete_nth(len(self			) - 1			)
       def    snake_case_			(     self,     SCREAMING_SNAKE_CASE_ = 0			)	->						Any:
          if not 0 <= index < len(self			):
             raise IndexError('list index out of range.'			)
          UpperCamelCase       :    Dict		      =      self.head
          if self.head == self.tail:  # just one node
             UpperCamelCase       :    int		      =      None
          elif index == 0:  # delete head node
             UpperCamelCase       :    Optional[int]		      =      self.tail.next.next
             UpperCamelCase       :    Any		      =      self.head.next
          else:
             UpperCamelCase       :    Optional[int]		      =      self.head
             for _ in range(index - 1			):
                UpperCamelCase       :    List[Any]		      =      temp.next
             UpperCamelCase       :    Optional[Any]		      =      temp.next
             UpperCamelCase       :    Union[str, Any]		      =      temp.next.next
             if index == len(self			) - 1:  # delete at tail
                UpperCamelCase       :    List[Any]		      =      temp
          return delete_node.data






       def    snake_case_			(     self			)	->						bool:
          return len(self			) == 0






def 						UpperCamelCase      (  )      ->	None:
   UpperCamelCase       :    Tuple		      =      CircularLinkedList()
   assert len(snake_case__      ) == 0
   assert circular_linked_list.is_empty() is True
   assert str(snake_case__      ) == ""

   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(snake_case__      ) == i
      circular_linked_list.insert_nth(snake_case__			,	i + 1      )
   assert str(snake_case__      ) == "->".join(str(snake_case__      ) for i in range(1			,	6      )      )

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

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

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

   assert circular_linked_list.is_empty() is False


if __name__ == "__main__":
    import doctest

    doctest.testmod()







'''simple docstring'''
class        lowerCAmelCase_  :






       def __init__( self			,     _UpperCamelCase   )->      None:
            _A				=							size
            _A				=							[0] * size
            _A				=							[0] * size






       @staticmethod
       def   UpperCamelCase						( _UpperCamelCase   )->      int:
            return index | (index + 1)






       @staticmethod
       def   UpperCamelCase						( _UpperCamelCase   )->      int:
            return (index & (index + 1)) - 1






       def   UpperCamelCase						( self			,     _UpperCamelCase			,     _UpperCamelCase   )->      None:
            _A				=							value
            while index < self.size:
                 _A				=							self.get_prev(_UpperCamelCase   ) + 1
                 if current_left_border == index:
                      _A				=							value
                 else:
                      _A				=							max(_UpperCamelCase			,     _UpperCamelCase			,     _UpperCamelCase   )
                 _A				=							self.get_next(_UpperCamelCase   )






       def   UpperCamelCase						( self			,     _UpperCamelCase			,     _UpperCamelCase   )->      int:
            right -= 1  # Because of right is exclusive
            _A				=							0
            while left <= right:
                 _A				=							self.get_prev(_UpperCamelCase   )
                 if left <= current_left:
                      _A				=							max(_UpperCamelCase			,     self.tree[right]   )
                      _A				=							current_left
                 else:
                      _A				=							max(_UpperCamelCase			,     self.arr[right]   )
                      right -= 1
            return result


if __name__ == "__main__":
    import doctest

    doctest.testmod()





