
"""simple docstring"""






UpperCamelCase_						   =   '\n# Transformers installation\n! pip install transformers datasets\n# To install from source instead of the last release, comment the command above and uncomment the following one.\n# ! pip install git+https://github.com/huggingface/transformers.git\n'

UpperCamelCase_						   =   [{'type': 'code', 'content': INSTALL_CONTENT}]
UpperCamelCase_						   =   {
    '{processor_class}': 'FakeProcessorClass',
    '{model_class}': 'FakeModelClass',
    '{object_class}': 'FakeObjectClass',
}

"""simple docstring"""






def    UpperCamelCase						(					UpperCAmelCase ,   UpperCAmelCase = 1_000     )						->str:

   """simple docstring"""



   if (not isinstance(UpperCAmelCase ,   UpperCAmelCase     )) or (digit_position <= 0):
      raise ValueError("Digit position must be a positive integer"     )
   elif (not isinstance(UpperCAmelCase ,   UpperCAmelCase     )) 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
   a_						   =     (
       4 * _subsum(UpperCAmelCase ,   1 ,   UpperCAmelCase     )
       - 2 * _subsum(UpperCAmelCase ,   4 ,   UpperCAmelCase     )
       - _subsum(UpperCAmelCase ,   5 ,   UpperCAmelCase     )
       - _subsum(UpperCAmelCase ,   6 ,   UpperCAmelCase     )
   )

   # return the first hex digit of the fractional part of the result
   return hex(int((sum_result % 1) * 16     )     )[2:]
def    UpperCamelCase						(					UpperCAmelCase ,   UpperCAmelCase ,   UpperCAmelCase     )						->float:

   """simple docstring"""



   a_						   =     0.0
   for sum_index in range(digit_pos_to_extract + precision     ):
      a_						   =     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
         a_						   =     pow(
             16 ,   digit_pos_to_extract - 1 - sum_index ,   UpperCAmelCase     )
      else:
         a_						   =     pow(16 ,   digit_pos_to_extract - 1 - sum_index     )
      total += exponential_term / denominator
   return total


if __name__ == "__main__":
      import doctest

      doctest.testmod()