






'''simple docstring'''







import torch

from transformers import AutoTokenizer
class  lowercase_					(   a__       ):


    def __init__(					self  , a   ):
          UpperCamelCase__  =    AutoTokenizer.from_pretrained(a   )


    def        __a							(					self  , a   ):

          if isinstance(a  , a   ) and all(isinstance(_x  , a   ) for _x in x   ):
                UpperCamelCase__  =    None
                for l in x:
                      UpperCamelCase__  =    self.tokenizer(
                          a  , padding="max_length"  , max_length=3_84  , truncation=a  , return_tensors="pt"  , )
                      UpperCamelCase__  =    torch.tensor([len(a   )]   )
                      if d is not None:
                            for k in d.keys():
                                  UpperCamelCase__  =    torch.cat((d[k], t[k])  , 0   )
                      else:
                            UpperCamelCase__  =    t

                UpperCamelCase__  =    torch.tensor(self.tokenizer.convert_tokens_to_ids("[E]"   )   )
                UpperCamelCase__  =    torch.tensor(self.tokenizer.convert_tokens_to_ids("[/E]"   )   )

          elif isinstance(a  , a   ) and all(isinstance(_x  , a   ) for _x in x   ):
                UpperCamelCase__  =    self.tokenizer(
                    a  , padding="max_length"  , max_length=3_84  , truncation=a  , 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        __a							(					self  , a  , a  , a  , a  , a=0.70   ):
          UpperCamelCase__  =    []
          for idx in range(len(W_query["input_ids"]   )   ):
                UpperCamelCase__  =    UpperCamelCase__  =    range(p_start.shape[1]   )

                UpperCamelCase__  =    []
                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 a   : (tup[2] * tup[3])  , reverse=a   )
                UpperCamelCase__  =    []
                for k in range(len(a   )   ):
                      if output[k][2] * output[k][3] >= thresh:
                            UpperCamelCase__ ,     UpperCamelCase__  =    output[k][0], output[k][1]
                            UpperCamelCase__  =    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(a   )

          return final_outputs









'''simple docstring'''







import math







def _UpperCamelCase	(					__A   )							->		bool:


      '''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 _UpperCamelCase	(					__A = 1000				,      __A = 1000   )							->		int:


      '''simple docstring'''



      UpperCamelCase__  =    [0, 0, 0]  # length, a, b
      for a in range((a_limit * -1) + 1				,      __A   ):
            for b in range(2				,      __A   ):
                  if is_prime(__A   ):
                        UpperCamelCase__  =    0
                        UpperCamelCase__  =    0
                        while is_prime((n**2) + (a * n) + b   ):
                              count += 1
                              n += 1
                        if count > longest[0]:
                              UpperCamelCase__  =    [count, a, b]
      UpperCamelCase__  =    longest[1] * longest[2]
      return ans


if __name__ == "__main__":
  print(solution(1_0_0_0, 1_0_0_0))





