'''simple docstring'''
from transformers import (
    DPRContextEncoderTokenizer,
    DPRContextEncoderTokenizerFast,
    DPRQuestionEncoderTokenizer,
    DPRQuestionEncoderTokenizerFast,
    DPRReaderOutput,
    DPRReaderTokenizer,
    DPRReaderTokenizerFast,
)
from transformers.testing_utils import require_tokenizers, slow
from transformers.tokenization_utils_base import BatchEncoding

from ..bert.test_tokenization_bert import BertTokenizationTest




@require_tokenizers
class _lowerCAmelCase (  snake_case				):
						UpperCAmelCase_  :	List[Any]     =					DPRContextEncoderTokenizer
						UpperCAmelCase_  :	str     =					DPRContextEncoderTokenizerFast
						UpperCAmelCase_  :	List[str]     =					True





@require_tokenizers
class _lowerCAmelCase (  snake_case				):
						UpperCAmelCase_  :	Any     =					DPRQuestionEncoderTokenizer
						UpperCAmelCase_  :	Tuple     =					DPRQuestionEncoderTokenizerFast
						UpperCAmelCase_  :	Optional[Any]     =					True





@require_tokenizers
class _lowerCAmelCase (  snake_case				):
						UpperCAmelCase_  :	Tuple     =					DPRReaderTokenizer
						UpperCAmelCase_  :	Tuple     =					DPRReaderTokenizerFast
						UpperCAmelCase_  :	List[Any]     =					True







						@slow
						def     lowerCamelCase__			(     self    ):
								lowercase							:       Tuple											=      self.tokenizer_class.from_pretrained('''bert-base-uncased'''    )

								lowercase							:       Optional[Any]											=      tokenizer.encode('''question sequence'''     ,						add_special_tokens=lowercase    )
								lowercase							:       Optional[int]											=      tokenizer.encode('''title sequence'''     ,						add_special_tokens=lowercase    )
								lowercase							:       Optional[Any]											=      tokenizer.encode('''text sequence ''' * 4     ,						add_special_tokens=lowercase    )
								lowercase							:       str											=      [[101] + text_a + [102] + text_a + [102] + text_a]
								lowercase							:       int											=      BatchEncoding({'''input_ids''': input_ids}    )

								lowercase							:       Optional[Any]											=      [[0] * len(input_ids[0]    )]
								lowercase							:       Optional[int]											=      [[0] * len(input_ids[0]    )]
								lowercase							:       Tuple											=      [0]
								lowercase							:       Optional[int]											=      DPRReaderOutput(lowercase     ,						lowercase     ,						lowercase    )

								lowercase							:       Optional[Any]											=      8, 9
								lowercase							:       Union[str, Any]											=      10
								lowercase							:       Union[str, Any]											=      10
								lowercase							:       Union[str, Any]											=      tokenizer.decode_best_spans(lowercase     ,						lowercase    )
								self.assertEqual(predicted_spans[0].start_index     ,						lowercase    )
								self.assertEqual(predicted_spans[0].end_index     ,						lowercase    )
								self.assertEqual(predicted_spans[0].doc_id     ,						0    )







						@slow
						def     lowerCamelCase__			(     self    ):
								lowercase							:       Any											=      self.tokenizer_class.from_pretrained('''bert-base-uncased'''    )

								lowercase							:       Dict											=      tokenizer.encode('''question sequence'''     ,						add_special_tokens=lowercase    )
								lowercase							:       Tuple											=      tokenizer.encode('''title sequence'''     ,						add_special_tokens=lowercase    )
								lowercase							:       List[Any]											=      tokenizer.encode('''text sequence'''     ,						add_special_tokens=lowercase    )
								lowercase							:       Dict											=      [101] + text_a + [102] + text_a + [102] + text_a
								lowercase							:       List[Any]											=      tokenizer(questions=['''question sequence''']     ,						titles=['''title sequence''']     ,						texts=['''text sequence''']    )
								self.assertIn('''input_ids'''     ,						lowercase    )
								self.assertIn('''attention_mask'''     ,						lowercase    )
								self.assertListEqual(encoded_input['''input_ids'''][0]     ,						lowercase    )
'''simple docstring'''
def 							__UpperCamelCase   (				__UpperCAmelCase     :				int )       ->  list:
  lowercase							:       Union[str, Any]											=      [True for i in range(n + 1 )]
  lowercase							:       Dict											=      [i - 1 for i in range(n + 1 )]
  lowercase							:       Union[str, Any]											=      []
  for i in range(2   ,      n + 1 ):
    if is_prime[i]:
      primes.append(__UpperCAmelCase )
    for j in range(0   ,      len(__UpperCAmelCase ) ):
      if i * primes[j] >= n:
        break
      lowercase							:       List[str]											=      False

      if i % primes[j] == 0:
        lowercase							:       Optional[Any]											=      totients[i] * primes[j]
        break

      lowercase							:       Union[str, Any]											=      totients[i] * (primes[j] - 1)

  return totients


if __name__ == "__main__":
 import doctest

 doctest.testmod()