



import math
from timeit import timeit






def 			UpperCAmelCase__     (     lowercase__ )			->   int:
						__lowercase											=					0
						__lowercase											=					abs(lowercase__ )
						while True:
												__lowercase											=					n // 10
												digits += 1
												if n == 0:
																		break
						return digits






def 			UpperCAmelCase__     (     lowercase__ )			->   int:
						return 1 if n == 0 else math.floor(math.log(abs(lowercase__ )    ,							10 ) + 1 )






def 			UpperCAmelCase__     (     lowercase__ )			->   int:
						return len(str(abs(lowercase__ ) ) )






def 			UpperCAmelCase__     (     )			->   None:
						from collections.abc import Callable

						def benchmark_a_function(lowercase__    ,							lowercase__ ) -> None:
												__lowercase											=					F"{func.__name__}({value})"
												__lowercase											=					timeit(F"__main__.{call}"    ,							setup="""import __main__""" )
												print(F"{call}: {func(lowercase__ )} -- {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(lowercase__    ,							lowercase__ )
												print()


if __name__ == "__main__":
			import doctest

			doctest.testmod()
			benchmark()










from .stack import Stack






def 			UpperCAmelCase__     (     lowercase__ )			->   bool:
						__lowercase											=					Stack()
						__lowercase											=					{"""(""": """)""", """[""": """]""", """{""": """}"""}
						for bracket in parentheses:
												if bracket in bracket_pairs:
																		stack.push(lowercase__ )
												elif bracket in (")", "]", "}"):
																		if stack.is_empty() or bracket_pairs[stack.pop()] != bracket:
																								return False
						return stack.is_empty()


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

			testmod()

			UpperCamelCase__			=    ["((()))", "((())", "(()))"]
			print("Balanced parentheses demonstration:\n")
			for example in examples:
						UpperCamelCase__			=    "" if balanced_parentheses(example) else "not "
						print(F"""{example} is {not_str}balanced""")





