
import torch

from transformers import AutoTokenizer


class 			UpperCamelCase_				(  A     ):




      '''simple docstring'''







      def __init__( self					,					_UpperCAmelCase):
            lowerCAmelCase_						=      AutoTokenizer.from_pretrained(_UpperCAmelCase)







      def lowercase__		( self					,					_UpperCAmelCase):

            if isinstance(_UpperCAmelCase					,					_UpperCAmelCase) and all(isinstance(_x					,					_UpperCAmelCase) for _x in x):
                  lowerCAmelCase_						=      None
                  for l in x:
                        lowerCAmelCase_						=      self.tokenizer(
                            _UpperCAmelCase					,					padding='''max_length'''					,					max_length=384					,					truncation=_UpperCAmelCase					,					return_tensors='''pt'''					,					)
                        lowerCAmelCase_						=      torch.tensor([len(_UpperCAmelCase)])
                        if d is not None:
                              for k in d.keys():
                                    lowerCAmelCase_						=      torch.cat((d[k], t[k])					,					0)
                        else:
                              lowerCAmelCase_						=      t

                  lowerCAmelCase_						=      torch.tensor(self.tokenizer.convert_tokens_to_ids('''[E]'''))
                  lowerCAmelCase_						=      torch.tensor(self.tokenizer.convert_tokens_to_ids('''[/E]'''))

            elif isinstance(_UpperCAmelCase					,					_UpperCAmelCase) and all(isinstance(_x					,					_UpperCAmelCase) for _x in x):
                  lowerCAmelCase_						=      self.tokenizer(
                      _UpperCAmelCase					,					padding='''max_length'''					,					max_length=384					,					truncation=_UpperCAmelCase					,					return_tensors='''pt'''					,					)

            else:
                  raise Exception(
                      '''Type of parameter x was not recognized! Only `list of strings` for query or `list of lists of'''
                      ''' strings` for supports are supported.''')

            return d







      def lowercase__		( self					,					_UpperCAmelCase					,					_UpperCAmelCase					,					_UpperCAmelCase					,					_UpperCAmelCase					,					_UpperCAmelCase=0.70):
            lowerCAmelCase_						=      []
            for idx in range(len(W_query['''input_ids'''])):
                  lowerCAmelCase_						=      lowerCAmelCase_						=      range(p_start.shape[1])

                  lowerCAmelCase_						=      []
                  for start_id in start_indexes:
                        for end_id in end_indexes:
                              if start_id < end_id:
                                    output.append(
                                        (
                                            start_id,
                                            end_id,
                                            p_start[idx][start_id].item(),
                                            p_end[idx][end_id].item(),
                                        ))

                  output.sort(key=lambda _UpperCAmelCase: (tup[2] * tup[3])					,					reverse=_UpperCAmelCase)
                  lowerCAmelCase_						=      []
                  for k in range(len(_UpperCAmelCase)):
                        if output[k][2] * output[k][3] >= thresh:
                              lowerCAmelCase_			,		lowerCAmelCase_						=      output[k][0], output[k][1]
                              lowerCAmelCase_						=      self.tokenizer.decode(W_query['''input_ids'''][idx][c_start_pos:c_end_pos])
                              temp.append((decoded, output[k][2] * output[k][3]))

                  final_outputs.append(_UpperCAmelCase)

            return final_outputs





import math
def lowerCamelCase_       (			A			:      int						):




      """simple docstring"""

      if 1 < number < 4:
            # 2 and 3 are primes
            return True
      elif number < 2 or number % 2 == 0 or number % 3 == 0:
            # Negatives, 0, 1, all even numbers, all multiples of 3 are not primes
            return False

      # All primes number are in format of 6k +/- 1
      for i in range(5		,					int(math.sqrt(A						) + 1						)		,					6						):
            if number % i == 0 or number % (i + 2) == 0:
                  return False
      return True
def lowerCamelCase_       (			A			:      int = 2_00_00_00						):




      """simple docstring"""
      return sum(num for num in range(3		,					A		,					2						) if is_prime(A						)						) + 2 if n > 2 else 0


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



