





class       UpperCamelCase_		:




					def __init__(		self					,    lowerCAmelCase_	)		->				None:
										_snake_case						=					data
										_snake_case						=					None
										_snake_case						=					None





def     lowerCamelCase__  (  UpperCamelCase__      :							BinaryTreeNode | None							,     UpperCamelCase__      :							int    )      ->			BinaryTreeNode | None:



					'''simple docstring'''




					if node is None:
										_snake_case						=					BinaryTreeNode(UpperCamelCase__    )
										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:
										_snake_case						=					insert(node.left_child							,     UpperCamelCase__    )
					else:
										# if new_value is greater than value of data in node,
										#  add it to right subtree and proceed recursively
										_snake_case						=					insert(node.right_child							,     UpperCamelCase__    )
					return node





def     lowerCamelCase__  (  UpperCamelCase__      :							None | BinaryTreeNode    )      ->			list[int]:  # if node is None,return



					'''simple docstring'''




					if node:
										_snake_case						=					inorder(node.left_child    )
										_snake_case						=					[*inorder_array, node.data]
										_snake_case						=					inorder_array + inorder(node.right_child    )
					else:
										_snake_case						=					[]
					return inorder_array





def     lowerCamelCase__  (  )      ->			BinaryTreeNode | None:



					'''simple docstring'''




					_snake_case						=					insert(UpperCamelCase__							,     15    )
					insert(UpperCamelCase__							,     10    )
					insert(UpperCamelCase__							,     25    )
					insert(UpperCamelCase__							,     6    )
					insert(UpperCamelCase__							,     14    )
					insert(UpperCamelCase__							,     20    )
					insert(UpperCamelCase__							,     60    )
					return root





def     lowerCamelCase__  (  )      ->			None:



					'''simple docstring'''




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


if __name__ == "__main__":
					import doctest

					doctest.testmod()
					main()










import math
from timeit import timeit





def     lowerCamelCase__  (  UpperCamelCase__      :							int    )      ->			int:



					'''simple docstring'''




					_snake_case						=					0
					_snake_case						=					abs(UpperCamelCase__    )
					while True:
										_snake_case						=					n // 10
										digits += 1
										if n == 0:
															break
					return digits





def     lowerCamelCase__  (  UpperCamelCase__      :							int    )      ->			int:



					'''simple docstring'''




					return 1 if n == 0 else math.floor(math.log(abs(UpperCamelCase__    )							,     10    ) + 1    )





def     lowerCamelCase__  (  UpperCamelCase__      :							int    )      ->			int:



					'''simple docstring'''




					return len(str(abs(UpperCamelCase__    )    )    )





def     lowerCamelCase__  (  )      ->			None:



					'''simple docstring'''




					from collections.abc import Callable

					def benchmark_a_function(UpperCamelCase__      :							Callable							,     UpperCamelCase__      :							int    ) -> None:
										_snake_case						=					F'''{func.__name__}({value})'''
										_snake_case						=					timeit(F'''__main__.{call}'''							,     setup='import __main__'    )
										print(F'''{call}: {func(UpperCamelCase__    )} -- {timing} seconds'''    )

					for value in (262_144, 1_125_899_906_842_624, 1_267_650_600_228_229_401_496_703_205_376):
										for func in (num_digits, num_digits_fast, num_digits_faster):
															benchmark_a_function(UpperCamelCase__							,     UpperCamelCase__    )
										print()


if __name__ == "__main__":
					import doctest

					doctest.testmod()
					benchmark()



