





class 		_lowerCAmelCase:

  """simple docstring"""







  def __init__(   self    ,							UpperCAmelCase      )->   None:
     __A    =  data
     __A    =  None
     __A    =  None
def  __UpperCamelCase    (						snake_case							,			snake_case      )    ->		BinaryTreeNode | None:


   '''simple docstring'''







   if node is None:
      __A    =  BinaryTreeNode(snake_case      )
      return node

   # binary search tree is not empty,
   # so we will insert it into the tree
   # if new_value is less than value of data in node,
   #  add it to left subtree and proceed recursively
   if new_value < node.data:
      __A    =  insert(node.left_child							,			snake_case      )
   else:
      # if new_value is greater than value of data in node,
      #  add it to right subtree and proceed recursively
      __A    =  insert(node.right_child							,			snake_case      )
   return node
def  __UpperCamelCase    (						snake_case      )    ->		list[int]:  # if node is None,return


   '''simple docstring'''







   if node:
      __A    =  inorder(node.left_child      )
      __A    =  [*inorder_array, node.data]
      __A    =  inorder_array + inorder(node.right_child      )
   else:
      __A    =  []
   return inorder_array
def  __UpperCamelCase    (						)    ->		BinaryTreeNode | None:


   '''simple docstring'''







   __A    =  insert(snake_case							,			1_5      )
   insert(snake_case							,			1_0      )
   insert(snake_case							,			2_5      )
   insert(snake_case							,			6      )
   insert(snake_case							,			1_4      )
   insert(snake_case							,			2_0      )
   insert(snake_case							,			6_0      )
   return root
def  __UpperCamelCase    (						)    ->		None:


   '''simple docstring'''







   __A    =  make_tree()
   print('''Printing values of binary search tree in Inorder Traversal.'''      )
   inorder(snake_case      )


if __name__ == "__main__":
    import doctest

    doctest.testmod()
    main()








from __future__ import annotations
def  __UpperCamelCase    (						snake_case      )    ->		bool:


   '''simple docstring'''







   __A    =  42
   __A    =  list(snake_case      )
   __A   ,		__A    =  _vector[:-1], int(_vector[-1]      )
   __A    =  [int(snake_case      ) for digit in __vector]

   vector.reverse()
   for i, digit in enumerate(snake_case      ):
      if i & 1 == 0:
         __A    =  digit * 2
         if doubled > 9:
            doubled -= 9
         check_digit += doubled
      else:
         check_digit += digit

   return check_digit % 1_0 == 0


if __name__ == "__main__":
    import doctest

    doctest.testmod()
    assert is_luhn("""79927398713""")
    assert not is_luhn("""79927398714""")

