
'''simple docstring'''





import math
from timeit import timeit
def 	snake_case_							(				_a  :				Tuple      ):
      snake_case_    							=				0
      snake_case_    							=				abs(SCREAMING_SNAKE_CASE__      )
      while True:
            snake_case_    							=				n // 10
            digits += 1
            if n == 0:
                  break
      return digits
def 	snake_case_							(				_a  :				Union[str, Any]      ):
      return 1 if n == 0 else math.floor(math.log(abs(SCREAMING_SNAKE_CASE__      )			,       10      ) + 1      )
def 	snake_case_							(				_a  :				Dict      ):
      return len(str(abs(SCREAMING_SNAKE_CASE__      )      )      )
def 	snake_case_							(				):
      from collections.abc import Callable

      def benchmark_a_function(_a  :				Optional[Any]			,       _a  :				Tuple      ) -> None:
            snake_case_    							=				F'''{func.__name__}({value})'''
            snake_case_    							=				timeit(F'''__main__.{call}'''			,       setup="import __main__"      )
            print(F'''{call}: {func(SCREAMING_SNAKE_CASE__      )} -- {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(SCREAMING_SNAKE_CASE__			,       SCREAMING_SNAKE_CASE__      )
            print()


if __name__ == "__main__":
     import doctest

     doctest.testmod()
     benchmark()








from .balanced_parentheses import balanced_parentheses
from .stack import Stack







def      A__				(       SCREAMING_SNAKE_CASE__)  ->       int:
  return {"+": 1, "-": 1, "*": 2, "/": 2, "^": 3}.get(SCREAMING_SNAKE_CASE__   ,   -1)







def      A__				(       SCREAMING_SNAKE_CASE__)  ->       str:
  if not balanced_parentheses(SCREAMING_SNAKE_CASE__):
    raise ValueError("""Mismatched parentheses""")
  __snake_case:		Stack[str]					    =		Stack()
  __snake_case:		Any					    =		[]
  for char in expression_str:
    if char.isalpha() or char.isdigit():
      postfix.append(SCREAMING_SNAKE_CASE__)
    elif char == "(":
      stack.push(SCREAMING_SNAKE_CASE__)
    elif char == ")":
      while not stack.is_empty() and stack.peek() != "(":
        postfix.append(stack.pop())
      stack.pop()
    else:
      while not stack.is_empty() and precedence(SCREAMING_SNAKE_CASE__) <= precedence(stack.peek()):
        postfix.append(stack.pop())
      stack.push(SCREAMING_SNAKE_CASE__)
  while not stack.is_empty():
    postfix.append(stack.pop())
  return " ".join(SCREAMING_SNAKE_CASE__)


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

      testmod()
      __UpperCAmelCase			:  Optional[int]										=				"a+b*(c^d-e)^(f+g*h)-i"

      print("Infix to Postfix Notation demonstration:\n")
      print("Infix notation: " + expression)
      print("Postfix notation: " + infix_to_postfix(expression))






