

"""simple docstring"""
import math
from timeit import timeit







def       UpperCamelCase_					(     lowerCamelCase							:					List[str]   )						->     int:



       """simple docstring"""







       __magic_name__			:		Optional[Any]        =     0
       __magic_name__			:		List[str]        =     abs(lowercase__   )
       while True:
              __magic_name__			:		int        =     n // 10
              digits += 1
              if n == 0:
                     break
       return digits







def       UpperCamelCase_					(     lowerCamelCase							:					Optional[Any]   )						->     int:



       """simple docstring"""







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







def       UpperCamelCase_					(     lowerCamelCase							:					Dict   )						->     int:



       """simple docstring"""







       return len(str(abs(lowercase__   )   )   )







def       UpperCamelCase_					(     )						->     None:



       """simple docstring"""







       from collections.abc import Callable

       def benchmark_a_function(lowerCamelCase							:					Dict     , lowerCamelCase							:					Tuple   ) -> None:
              __magic_name__			:		List[str]        =     f"""{func.__name__}({value})"""
              __magic_name__			:		Dict        =     timeit(f"""__main__.{call}"""     , setup='''import __main__'''   )
              print(f"""{call}: {func(lowercase__   )} -- {timing} seconds"""   )

       for value in (26_2144, 1125_8999_0684_2624, 126_7650_6002_2822_9401_4967_0320_5376):
              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""")





