






'''simple docstring'''




import torch

from transformers import AutoTokenizer

class      _UpperCAmelCase    (  snake_case_		):




   """simple docstring"""

   def __init__(	self				:			int   ,   __UpperCAmelCase				:			Optional[int]	):





         '''simple docstring'''





         _A      =			AutoTokenizer.from_pretrained(__UpperCAmelCase	)

   def 		lowerCAmelCase				(	self				:			Any   ,   __UpperCAmelCase				:			List[Any]	):





         '''simple docstring'''





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

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

         elif isinstance(__UpperCAmelCase   ,   __UpperCAmelCase	) and all(isinstance(_x   ,   __UpperCAmelCase	) for _x in x	):
               _A      =			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 		lowerCAmelCase				(	self				:			List[str]   ,   __UpperCAmelCase				:			List[str]   ,   __UpperCAmelCase				:			int   ,   __UpperCAmelCase				:			Dict   ,   __UpperCAmelCase				:			Optional[Any]   ,   __UpperCAmelCase				:			int=0.70	):





         '''simple docstring'''





         _A      =			[]
         for idx in range(len(W_query["input_ids"]	)	):
               _A      =			_A      =			range(p_start.shape[1]	)

               _A      =			[]
               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	)
               _A      =			[]
               for k in range(len(__UpperCAmelCase	)	):
                     if output[k][2] * output[k][3] >= thresh:
                           _A  ,			_A      =			output[k][0], output[k][1]
                           _A      =			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













'''simple docstring'''




import math

def       __lowercase		(    __lowercase ) ->		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(__lowercase ) + 1 )     ,						6 ):
            if number % i == 0 or number % (i + 2) == 0:
                  return False
      return True

def       __lowercase		(    __lowercase = 6008_5147_5143 ) ->		int:

      '''simple docstring'''


      try:
            _A      =			int(__lowercase )
      except (TypeError, ValueError):
            raise TypeError("Parameter n must be int or castable to int." )
      if n <= 0:
            raise ValueError("Parameter n must be greater than or equal to one." )
      _A      =			0
      if is_prime(__lowercase ):
            return n
      while n % 2 == 0:
            n //= 2
      if is_prime(__lowercase ):
            return n
      for i in range(3     ,						int(math.sqrt(__lowercase ) ) + 1     ,						2 ):
            if n % i == 0:
                  if is_prime(n // i ):
                        _A      =			n // i
                        break
                  elif is_prime(__lowercase ):
                        _A      =			i
      return max_number


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





