
"""simple docstring"""

class 			_lowercase  :




	def __init__(					self						,					UpperCAmelCase_   )						->				None:
			lowerCamelCase	:     Union[str, Any]            =       data
			lowerCamelCase	:     BinaryTreeNode | None            =       None
			lowerCamelCase	:     BinaryTreeNode | None            =       None


def 						UpperCAmelCase   (						a_,		a_     ):





		'''simple docstring'''


		if node is None:
				lowerCamelCase	:     List[Any]            =       BinaryTreeNode(a_     )
				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:
				lowerCamelCase	:     Dict            =       insert(node.left_child,		a_     )
		else:
				# if new_value is greater than value of data in node,
				#  add it to right subtree and proceed recursively
				lowerCamelCase	:     str            =       insert(node.right_child,		a_     )
		return node
def 						UpperCAmelCase   (						a_     ):  # if node is None,return





		'''simple docstring'''


		if node:
				lowerCamelCase	:     Union[str, Any]            =       inorder(node.left_child     )
				lowerCamelCase	:     Optional[Any]            =       [*inorder_array, node.data]
				lowerCamelCase	:     Union[str, Any]            =       inorder_array + inorder(node.right_child     )
		else:
				lowerCamelCase	:     int            =       []
		return inorder_array
def 						UpperCAmelCase   (						):





		'''simple docstring'''


		lowerCamelCase	:     Optional[Any]            =       insert(a_,		15     )
		insert(a_,		10     )
		insert(a_,		25     )
		insert(a_,		6     )
		insert(a_,		14     )
		insert(a_,		20     )
		insert(a_,		60     )
		return root
def 						UpperCAmelCase   (						):





		'''simple docstring'''


		lowerCamelCase	:     Union[str, Any]            =       make_tree()
		print('Printing values of binary search tree in Inorder Traversal.'     )
		inorder(a_     )


if __name__ == "__main__":
					import doctest

					doctest.testmod()
					main()








"""simple docstring"""

def 						UpperCAmelCase   (						a_     ):





		'''simple docstring'''


		if not isinstance(a_,		a_     ):
				raise TypeError('recursive_lucas_number accepts only integer arguments.'     )
		if n_th_number == 0:
				return 2
		if n_th_number == 1:
				return 1

		return recursive_lucas_number(n_th_number - 1     ) + recursive_lucas_number(
		    n_th_number - 2     )
def 						UpperCAmelCase   (						a_     ):





		'''simple docstring'''


		if not isinstance(a_,		a_     ):
				raise TypeError('dynamic_lucas_number accepts only integer arguments.'     )
		lowerCamelCase      ,       lowerCamelCase	:     Optional[int]            =       2, 1
		for _ in range(a_     ):
				lowerCamelCase      ,       lowerCamelCase	:     Optional[int]            =       b, a + b
		return a


if __name__ == "__main__":
					from doctest import testmod

					testmod()
					_A				=					int(input('Enter the number of terms in lucas series:\n').strip())
					print('Using recursive function to calculate lucas series:')
					print(' '.join(str(recursive_lucas_number(i)) for i in range(n)))
					print('\nUsing dynamic function to calculate lucas series:')
					print(' '.join(str(dynamic_lucas_number(i)) for i in range(n)))






