





def        A__						(							SCREAMING_SNAKE_CASE_				,							SCREAMING_SNAKE_CASE_ = 1_0_0_0		) ->  int:





		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 :			Tuple    		=(
		    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) * 1_6		)		)[2:]


def        A__						(							SCREAMING_SNAKE_CASE_				,							SCREAMING_SNAKE_CASE_				,							SCREAMING_SNAKE_CASE_		) ->  Any:
		lowerCamelCase :			Tuple    		=0.0
		for sum_index in range(digit_pos_to_extract + precision		):
				lowerCamelCase :			List[str]    		=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 :			Any    		=pow(
						    1_6				,							digit_pos_to_extract - 1 - sum_index				,							lowerCamelCase_		)
				else:
						lowerCamelCase :			Optional[int]    		=pow(1_6				,							digit_pos_to_extract - 1 - sum_index		)
				total += exponential_term / denominator
		return total


if __name__ == "__main__":
				import doctest

				doctest.testmod()


'''simple docstring'''


import io
import json
import subprocess


snake_case__	:     Any      =    [
    ['''en''', '''ru'''],
    ['''ru''', '''en'''],
    ['''en''', '''de'''],
    ['''de''', '''en'''],
]

snake_case__	:     Tuple      =    8


def    _lowerCamelCase       ( lowerCamelCase_   :				Tuple      ,	lowerCamelCase_   :				Union[str, Any]  ):



     """simple docstring"""





     UpperCAmelCase_				:  List[Any]  = {}
     for src, tgt in pairs:
          UpperCAmelCase_				:  str  = F'''{src}-{tgt}'''
          UpperCAmelCase_				:  List[str]  = F'''sacrebleu -t wmt19 -l {pair} --echo src'''.split()
          UpperCAmelCase_				:  Any  = subprocess.run(lowerCamelCase_      ,	stdout=subprocess.PIPE  ).stdout.decode('utf-8'  ).splitlines()
          UpperCAmelCase_				:  Any  = F'''sacrebleu -t wmt19 -l {pair} --echo ref'''.split()
          UpperCAmelCase_				:  List[str]  = subprocess.run(lowerCamelCase_      ,	stdout=subprocess.PIPE  ).stdout.decode('utf-8'  ).splitlines()
          UpperCAmelCase_				:  str  = {'src': src_lines[:n_objs], 'tgt': tgt_lines[:n_objs]}
     return text


snake_case__	:     Union[str, Any]      =    get_all_data(pairs, n_objs)
snake_case__	:     Dict      =    '''./fsmt_val_data.json'''
with io.open(filename, '''w''', encoding='''utf-8''') as f:
 snake_case__	:     List[str]      =    json.dump(text, f, indent=2, ensure_ascii=False)






