






import math
from timeit import timeit

def 			__lowerCamelCase     (						snake_case__						)				->    int:






						"""simple docstring"""





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

def 			__lowerCamelCase     (						snake_case__						)				->    int:






						"""simple docstring"""





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

def 			__lowerCamelCase     (						snake_case__						)				->    int:






						"""simple docstring"""





						return len(str(abs(snake_case__						)						)						)

def 			__lowerCamelCase     (						)				->    None:






						"""simple docstring"""





						from collections.abc import Callable

						def benchmark_a_function(snake_case__			,snake_case__						) -> None:
												_SCREAMING_SNAKE_CASE       =    F'{func.__name__}({value})'
												_SCREAMING_SNAKE_CASE       =    timeit(F'__main__.{call}'			,setup="""import __main__"""						)
												print(F'{call}: {func(snake_case__						)} -- {timing} seconds'						)

						for value in (26_21_44, 11_25_89_99_06_84_26_24, 1_26_76_50_60_02_28_22_94_01_49_67_03_20_53_76):
												for func in (num_digits, num_digits_fast, num_digits_faster):
																		benchmark_a_function(snake_case__			,snake_case__						)
												print()


if __name__ == "__main__":
		import doctest

		doctest.testmod()
		benchmark()









def 			__lowerCamelCase     (						snake_case__			,snake_case__						)				->    Dict:






						"""simple docstring"""





						if not root or root not in binary_tree_mirror_dictionary:
												return
						_SCREAMING_SNAKE_CASE ,	_SCREAMING_SNAKE_CASE       =    binary_tree_mirror_dictionary[root][:2]
						_SCREAMING_SNAKE_CASE       =    [right_child, left_child]
						binary_tree_mirror_dict(snake_case__			,snake_case__						)
						binary_tree_mirror_dict(snake_case__			,snake_case__						)

def 			__lowerCamelCase     (						snake_case__			,snake_case__ = 1						)				->    dict:






						"""simple docstring"""





						if not binary_tree:
												raise ValueError("""binary tree cannot be empty"""						)
						if root not in binary_tree:
												_SCREAMING_SNAKE_CASE       =    F'root {root} is not present in the binary_tree'
												raise ValueError(snake_case__						)
						_SCREAMING_SNAKE_CASE       =    dict(snake_case__						)
						binary_tree_mirror_dict(snake_case__			,snake_case__						)
						return binary_tree_mirror_dictionary


if __name__ == "__main__":
		UpperCamelCase												=      {1: [2, 3], 2: [4, 5], 3: [6, 7], 7: [8, 9]}
		print(f"Binary tree: {binary_tree}")
		UpperCamelCase												=      binary_tree_mirror(binary_tree, 5)
		print(f"Binary tree mirror: {binary_tree_mirror_dictionary}")

