
class 			lowercase__:



	"""simple docstring"""




	def __init__(	self  :      List[Any]	,							SCREAMING_SNAKE_CASE_  :      int	)	->					None:
					lowercase_					  = data
					lowercase_					  = None
					lowercase_					  = None




def     a						(							snake_case__: BinaryTreeNode | None						,       snake_case__: int ):


				'''simple docstring'''
				if node is None:
								lowercase_					  = 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:
								lowercase_					  = 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
								lowercase_					  = insert(node.right_child						,       snake_case__ )
				return node




def     a						(							snake_case__: None | BinaryTreeNode ):  # if node is None,return


				'''simple docstring'''
				if node:
								lowercase_					  = inorder(node.left_child )
								lowercase_					  = [*inorder_array, node.data]
								lowercase_					  = inorder_array + inorder(node.right_child )
				else:
								lowercase_					  = []
				return inorder_array




def     a						(							):


				'''simple docstring'''
				lowercase_					  = insert(snake_case__						,       15 )
				insert(snake_case__						,       10 )
				insert(snake_case__						,       25 )
				insert(snake_case__						,       6 )
				insert(snake_case__						,       14 )
				insert(snake_case__						,       20 )
				insert(snake_case__						,       60 )
				return root




def     a						(							):


				'''simple docstring'''
				lowercase_					  = 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

__a        = 'Alexander Joslin'




def     a						(							snake_case__: int ):


				'''simple docstring'''

				if number <= 0:
								lowercase_					  = F'''n must be greater than 0. Got n = {number}'''
								raise ValueError(snake_case__ )

				lowercase_					  = [number + 1] * (number + 1)

				# starting position
				lowercase_					  = 0
				for i in range(1						,       snake_case__ ):
								lowercase_					  = min(table[i + 1]						,       table[i] + 1 )
								# check if out of bounds
								if i * 2 <= number:
												lowercase_					  = min(table[i * 2]						,       table[i] + 1 )
								# check if out of bounds
								if i * 3 <= number:
												lowercase_					  = min(table[i * 3]						,       table[i] + 1 )
				return table[number]


if __name__ == "__main__":
						import doctest

						doctest.testmod()




