





from collections.abc import Callable
def 					_A	(		SCREAMING_SNAKE_CASE					:       Callable[[float], float]	,	SCREAMING_SNAKE_CASE					:       float	,	SCREAMING_SNAKE_CASE					:       float						):





  """simple docstring"""



  a__     : float  =a
  a__     : float  =b
  if function(SCREAMING_SNAKE_CASE						) == 0:  # one of the a or b is a root for the function
    return a
  elif function(SCREAMING_SNAKE_CASE						) == 0:
    return b
  elif (
      function(SCREAMING_SNAKE_CASE						) * function(SCREAMING_SNAKE_CASE						) > 0
  ):  # if none of these are root and they are both positive or negative,
    # then this algorithm can't find the root
    raise ValueError("could not find root in given interval."						)
  else:
    a__     : float  =start + (end - start) / 2.0
    while abs(start - mid						) > 10**-7:  # until precisely equals to 10^-7
      if function(SCREAMING_SNAKE_CASE						) == 0:
        return mid
      elif function(SCREAMING_SNAKE_CASE						) * function(SCREAMING_SNAKE_CASE						) < 0:
        a__     : List[Any]  =mid
      else:
        a__     : Optional[int]  =mid
      a__     : Any  =start + (end - start) / 2.0
    return mid
def 					_A	(		SCREAMING_SNAKE_CASE					:       float						):





  """simple docstring"""



  return x**3 - 2 * x - 5


if __name__ == "__main__":
    print(bisection(f, 1, 1000))

    import doctest

    doctest.testmod()













UpperCAmelCase     :     Dict							=	[0, 2, 4, 6, 8]
UpperCAmelCase     :     Tuple							=	[1, 3, 5, 7, 9]
def 					_A	(		SCREAMING_SNAKE_CASE					:       int	,	SCREAMING_SNAKE_CASE					:       int	,	SCREAMING_SNAKE_CASE					:       list[int]	,	SCREAMING_SNAKE_CASE					:       int						):





  """simple docstring"""



  if remaining_length == 0:
    if digits[0] == 0 or digits[-1] == 0:
      return 0

    for i in range(length // 2 - 1	,	-1	,	-1						):
      remainder += digits[i] + digits[length - i - 1]

      if remainder % 2 == 0:
        return 0

      remainder //= 10

    return 1

  if remaining_length == 1:
    if remainder % 2 == 0:
      return 0

    a__     : str  =0
    for digit in range(10						):
      a__     : int  =digit
      result += reversible_numbers(
          0	,	(remainder + 2 * digit) // 10	,	SCREAMING_SNAKE_CASE	,	SCREAMING_SNAKE_CASE						)
    return result

  a__     : List[str]  =0
  for digita in range(10						):
    a__     : Optional[int]  =digita

    if (remainder + digita) % 2 == 0:
      a__     : Dict  =ODD_DIGITS
    else:
      a__     : Any  =EVEN_DIGITS

    for digita in other_parity_digits:
      a__     : Union[str, Any]  =digita
      result += reversible_numbers(
          remaining_length - 2	,	(remainder + digita + digita) // 10	,	SCREAMING_SNAKE_CASE	,	SCREAMING_SNAKE_CASE	,	)
  return result
def 					_A	(		SCREAMING_SNAKE_CASE					:       int = 9						):





  """simple docstring"""



  a__     : List[str]  =0
  for length in range(1	,	max_power + 1						):
    result += reversible_numbers(SCREAMING_SNAKE_CASE	,	0	,	[0] * length	,	SCREAMING_SNAKE_CASE						)
  return result


if __name__ == "__main__":
     print(F"""{solution() = }""")






