




'''simple docstring'''



import time
import unittest

from transformers import is_torch_available
from transformers.testing_utils import require_torch, torch_device

from ..test_modeling_common import ids_tensor


if is_torch_available():
     import torch

     from transformers.generation import (
         MaxLengthCriteria,
         MaxNewTokensCriteria,
         MaxTimeCriteria,
         StoppingCriteriaList,
         validate_stopping_criteria,
     )





@require_torch
class      lowerCAmelCase (			unittest.TestCase):


       def    lowerCAmelCase   ( self     ,	__SCREAMING_SNAKE_CASE	)   ->	Any:



            '''simple docstring'''




            __snake_case            =	3
            __snake_case            =	250

            __snake_case            =	ids_tensor((batch_size, length)     ,	__A	)
            __snake_case            =	torch.ones((batch_size, length)     ,	device=__A     ,	dtype=torch.float	) / length
            return input_ids, scores


       def    lowerCAmelCase   ( self	)   ->	str:



            '''simple docstring'''




            __snake_case       ,     __snake_case            =	self._get_tensors(5	)

            __snake_case            =	StoppingCriteriaList(
                [
                    MaxLengthCriteria(max_length=10	),
                    MaxTimeCriteria(max_time=0.1	),
                ]	)

            self.assertFalse(criteria(__A     ,	__A	)	)

            __snake_case       ,     __snake_case            =	self._get_tensors(9	)
            self.assertFalse(criteria(__A     ,	__A	)	)

            __snake_case       ,     __snake_case            =	self._get_tensors(10	)
            self.assertTrue(criteria(__A     ,	__A	)	)


       def    lowerCAmelCase   ( self	)   ->	List[str]:



            '''simple docstring'''




            __snake_case            =	MaxLengthCriteria(max_length=10	)

            __snake_case       ,     __snake_case            =	self._get_tensors(5	)
            self.assertFalse(criteria(__A     ,	__A	)	)

            __snake_case       ,     __snake_case            =	self._get_tensors(9	)
            self.assertFalse(criteria(__A     ,	__A	)	)

            __snake_case       ,     __snake_case            =	self._get_tensors(10	)
            self.assertTrue(criteria(__A     ,	__A	)	)


       def    lowerCAmelCase   ( self	)   ->	Any:



            '''simple docstring'''




            __snake_case            =	MaxNewTokensCriteria(start_length=5     ,	max_new_tokens=5	)

            __snake_case       ,     __snake_case            =	self._get_tensors(5	)
            self.assertFalse(criteria(__A     ,	__A	)	)

            __snake_case       ,     __snake_case            =	self._get_tensors(9	)
            self.assertFalse(criteria(__A     ,	__A	)	)

            __snake_case       ,     __snake_case            =	self._get_tensors(10	)
            self.assertTrue(criteria(__A     ,	__A	)	)

            __snake_case            =	StoppingCriteriaList([criteria]	)
            self.assertEqual(criteria_list.max_length     ,	10	)


       def    lowerCAmelCase   ( self	)   ->	str:



            '''simple docstring'''




            __snake_case       ,     __snake_case            =	self._get_tensors(5	)

            __snake_case            =	MaxTimeCriteria(max_time=0.1	)
            self.assertFalse(criteria(__A     ,	__A	)	)

            __snake_case            =	MaxTimeCriteria(max_time=0.1     ,	initial_timestamp=time.time() - 0.2	)
            self.assertTrue(criteria(__A     ,	__A	)	)




       def    lowerCAmelCase   ( self	)   ->	Tuple:



            '''simple docstring'''




            validate_stopping_criteria(StoppingCriteriaList([MaxLengthCriteria(10	)]	)     ,	10	)

            with self.assertWarns(__A	):
                 validate_stopping_criteria(StoppingCriteriaList([MaxLengthCriteria(10	)]	)     ,	11	)

            __snake_case            =	validate_stopping_criteria(StoppingCriteriaList()     ,	11	)

            self.assertEqual(len(__A	)     ,	1	)










import math




def  a   (lowerCAmelCase__   ):

   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(lowerCAmelCase__   ) + 1   )		,				6   ):
      if number % i == 0 or number % (i + 2) == 0:
         return False
   return True




def  a   (lowerCAmelCase__ = 10_001   ):

   try:
      __a					=  int(lowerCAmelCase__   )
   except (TypeError, ValueError):
      raise TypeError("""Parameter nth must be int or castable to int."""   ) from None
   if nth <= 0:
      raise ValueError("""Parameter nth must be greater than or equal to one."""   )
   __a					=  []
   __a					=  2
   while len(lowerCAmelCase__   ) < nth:
      if is_prime(lowerCAmelCase__   ):
         primes.append(lowerCAmelCase__   )
         num += 1
      else:
         num += 1
   return primes[len(lowerCAmelCase__   ) - 1]


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



