code: 
  
  
  
  '''simple docstring'''
  
  
  
  def _lowercase   (  __A							,__A = 1_000       ):
  
  
  
   '''simple docstring'''
  
  
  
   if (not isinstance(__A							,__A       )) or (digit_position <= 0):
    raise ValueError("""Digit position must be a positive integer"""       )
   elif (not isinstance(__A							,__A       )) or (precision < 0):
    raise ValueError("""Precision must be a nonnegative integer"""       )
  
   # compute an approximation of (16 ** (n - 1)) * pi whose fractional part is mostly
   # accurate
   __UpperCamelCase				      =  (
       4 * _subsum(__A							,1							,__A       )
       - 2 * _subsum(__A							,4							,__A       )
       - _subsum(__A							,5							,__A       )
       - _subsum(__A							,6							,__A       )
   )
  
   # return the first hex digit of the fractional part of the result
   return hex(int((sum_result % 1) * 16       )       )[2:]
  
  
  
  
  
  
  
  def _lowercase   (  __A							,__A							,__A       ):
  
  
  
   '''simple docstring'''
  
  
  
   __UpperCamelCase				      =  0.0
   for sum_index in range(digit_pos_to_extract + precision       ):
    __UpperCamelCase				      =  8 * sum_index + denominator_addend
    if sum_index < digit_pos_to_extract:
     # if the exponential term is an integer and we mod it by the denominator
     # before dividing, only the integer part of the sum will change;
     # the fractional part will not
     __UpperCamelCase				      =  pow(
         16							,digit_pos_to_extract - 1 - sum_index							,__A       )
    else:
     __UpperCamelCase				      =  pow(16							,digit_pos_to_extract - 1 - sum_index       )
    total += exponential_term / denominator
   return total
  
  
  if __name__ == "__main__":
   import doctest
  
   doctest.testmod()
  
  
  
  
  
  
style_context: 
  
  
  
  '''simple docstring'''
  
  
  
  from .stack import Stack
  
  
  
  
  
  
  
  def _lowercase   (  __A       ):
  
  
  
   '''simple docstring'''
  
  
  
   __UpperCamelCase				      =  Stack()
   __UpperCamelCase				      =  {"""(""": """)""", """[""": """]""", """{""": """}"""}
   for bracket in parentheses:
    if bracket in bracket_pairs:
     stack.push(__A       )
    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()
  
   a__						:			List[Any]										=			['((()))', '((())', '(()))']
   print('Balanced parentheses demonstration:\n')
   for example in examples:
    a__						:			int										=			'' if balanced_parentheses(example) else 'not '
    print(f'''{example} is {not_str}balanced''')
  
  
  
  
  
  