from __future__ import annotations






class 				UpperCAmelCase :




    '''simple docstring'''







    def __init__(       self    ,							lowercase__ )							-> None:
         SCREAMING_SNAKE_CASE					:			Optional[Any]    	=       data
         SCREAMING_SNAKE_CASE					:			Node | None    	=       None
         SCREAMING_SNAKE_CASE					:			Node | None    	=       None






def     __lowerCAmelCase						(       a_		)      ->	None:  # In Order traversal of the tree





     '''simple docstring'''





     if tree:
          display(tree.left		)
          print(tree.data		)
          display(tree.right		)


def     __lowerCAmelCase						(       a_		)      ->	int:





     '''simple docstring'''





     return 1 + max(depth_of_tree(tree.left		)       ,      depth_of_tree(tree.right		)		) if tree else 0


def     __lowerCAmelCase						(       a_		)      ->	bool:





     '''simple docstring'''





     if not tree:
          return True
     if tree.left and tree.right:
          return is_full_binary_tree(tree.left		) and is_full_binary_tree(tree.right		)
     else:
          return not tree.left and not tree.right


def     __lowerCAmelCase						(       )      ->	None:  # Main function for testing.





     '''simple docstring'''





     SCREAMING_SNAKE_CASE					:			str    	=       Node(1		)
     SCREAMING_SNAKE_CASE					:			List[Any]    	=       Node(2		)
     SCREAMING_SNAKE_CASE					:			Optional[int]    	=       Node(3		)
     SCREAMING_SNAKE_CASE					:			Any    	=       Node(4		)
     SCREAMING_SNAKE_CASE					:			str    	=       Node(5		)
     SCREAMING_SNAKE_CASE					:			Union[str, Any]    	=       Node(6		)
     SCREAMING_SNAKE_CASE					:			List[Any]    	=       Node(7		)
     SCREAMING_SNAKE_CASE					:			Union[str, Any]    	=       Node(8		)
     SCREAMING_SNAKE_CASE					:			Any    	=       Node(9		)

     print(is_full_binary_tree(a_		)		)
     print(depth_of_tree(a_		)		)
     print('Tree is: '		)
     display(a_		)


if __name__ == "__main__":
 main()




'''simple docstring'''





def     __lowerCAmelCase						(       a_       ,      a_		)      ->	str:





     '''simple docstring'''





     if number < 0 or shift_amount < 0:
          raise ValueError('both inputs must be positive integers'		)

     SCREAMING_SNAKE_CASE					:			str    	=       str(bin(a_		)		)
     binary_number += "0" * shift_amount
     return binary_number


def     __lowerCAmelCase						(       a_       ,      a_		)      ->	str:





     '''simple docstring'''





     if number < 0 or shift_amount < 0:
          raise ValueError('both inputs must be positive integers'		)

     SCREAMING_SNAKE_CASE					:			Optional[Any]    	=       str(bin(a_		)		)[2:]
     if shift_amount >= len(a_		):
          return "0b0"
     SCREAMING_SNAKE_CASE					:			Dict    	=       binary_number[: len(a_		) - shift_amount]
     return "0b" + shifted_binary_number


def     __lowerCAmelCase						(       a_       ,      a_		)      ->	str:





     '''simple docstring'''





     if number >= 0:  # Get binary representation of positive number
          SCREAMING_SNAKE_CASE					:			Tuple    	=       '0' + str(bin(a_		)		).strip('-'		)[2:]
     else:  # Get binary (2's complement) representation of negative number
          SCREAMING_SNAKE_CASE					:			Union[str, Any]    	=       len(bin(a_		)[3:]		)  # Find 2's complement of number
          SCREAMING_SNAKE_CASE					:			Any    	=       bin(abs(a_		) - (1 << binary_number_length)		)[3:]
          SCREAMING_SNAKE_CASE					:			Optional[Any]    	=       (
              '1' + '0' * (binary_number_length - len(a_		)) + binary_number
          )

     if shift_amount >= len(a_		):
          return "0b" + binary_number[0] * len(a_		)
     return (
         "0b"
         + binary_number[0] * shift_amount
         + binary_number[: len(a_		) - shift_amount]
     )


if __name__ == "__main__":
 import doctest

 doctest.testmod()



