code: def   __lowerCamelCase	(       lowerCamelCase__		:	int     ,       lowerCamelCase__		:	int = 1000			):
  
  
  
  
  
  			'''simple docstring'''
  
  
  
  
  			if (not isinstance(lowerCamelCase__     ,       lowerCamelCase__			)) or (digit_position <= 0):
  						raise ValueError("""Digit position must be a positive integer"""			)
  			elif (not isinstance(lowerCamelCase__     ,       lowerCamelCase__			)) 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
  			lowerCamelCase								=     (
  			    4 * _subsum(lowerCamelCase__     ,       1     ,       lowerCamelCase__			)
  			    - 2 * _subsum(lowerCamelCase__     ,       4     ,       lowerCamelCase__			)
  			    - _subsum(lowerCamelCase__     ,       5     ,       lowerCamelCase__			)
  			    - _subsum(lowerCamelCase__     ,       6     ,       lowerCamelCase__			)
  			)
  
  			# return the first hex digit of the fractional part of the result
  			return hex(int((sum_result % 1) * 16			)			)[2:]
  
  
  
  
  
  
  def   __lowerCamelCase	(       lowerCamelCase__		:	int     ,       lowerCamelCase__		:	int     ,       lowerCamelCase__		:	int			):
  
  
  
  
  
  			'''simple docstring'''
  
  
  
  
  			lowerCamelCase								=     0.0
  			for sum_index in range(digit_pos_to_extract + precision			):
  						lowerCamelCase								=     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
  									lowerCamelCase								=     pow(
  									    16     ,       digit_pos_to_extract - 1 - sum_index     ,       lowerCamelCase__			)
  						else:
  									lowerCamelCase								=     pow(16     ,       digit_pos_to_extract - 1 - sum_index			)
  						total += exponential_term / denominator
  			return total
  
  
  if __name__ == "__main__":
  		import doctest
  
  		doctest.testmod()
  
  
style_context: 
  
  
  import abc
  import copy
  import dataclasses
  from dataclasses import dataclass
  from typing import ClassVar, Dict, Type, TypeVar
  
  from ..features import Features
  
  
  UpperCAmelCase      :						List[Any]    =		TypeVar("T", bound="TaskTemplate")
  
  
  
  
  
  
  
  @dataclass(frozen=a_     )
  class 					__lowercase					(       abc.ABC     ):
  
  
  
  		"""simple docstring"""
  
  		UpperCamelCase    :				str
  		UpperCamelCase    :				ClassVar[Features]
  		UpperCamelCase    :				ClassVar[Features]
  
  
  
  
  
  
  
  		def 				__A      (   self		,			A  )     ->   T:
  
  
  
  
  
  
  
  					'''simple docstring'''
  
  
  
  
  
  
  
  					return copy.deepcopy(self  )
  
  
  
  
  
  
  
  		@property
  		def 				__A      (   self  )     ->   Features:
  
  
  
  
  
  
  
  					'''simple docstring'''
  
  
  
  
  
  
  
  					return Features(**self.input_schema		,			**self.label_schema  )
  
  
  
  
  
  
  
  		@property
  		@abc.abstractmethod
  		def 				__A      (   self  )     ->   Dict[str, str]:
  
  
  
  
  
  
  
  					'''simple docstring'''
  
  
  
  
  
  
  
  					raise NotImplementedError
  
  
  
  
  
  
  
  		@classmethod
  		def 				__A      (   cls		,			A  )     ->   T:
  
  
  
  
  
  
  
  					'''simple docstring'''
  
  
  
  
  
  
  
  					lowerCamelCase								=     {f.name for f in dataclasses.fields(cls  )}
  					return cls(**{k: v for k, v in template_dict.items() if k in field_names}  )
  
  