



"""simple docstring"""





import unittest

from transformers import is_torch_available
from transformers.testing_utils import require_torch


if is_torch_available():
       import torch

       from transformers.generation import DisjunctiveConstraint
@require_torch
class 				lowercase__       (   unittest.TestCase				):







       '''simple docstring'''


       def 					lowercase__    (							self      :  Any   )			->						Optional[int]:


             '''simple docstring'''




             UpperCAmelCase_      			=							[[1, 2, 4], [1, 2, 3, 4]]
             UpperCAmelCase_      			=							DisjunctiveConstraint(_SCREAMING_SNAKE_CASE   )
             self.assertTrue(isinstance(dc.token_ids		,    _SCREAMING_SNAKE_CASE   )   )

             with self.assertRaises(_SCREAMING_SNAKE_CASE   ):
                   DisjunctiveConstraint(torch.LongTensor([[1, 2, 4], [1, 2, 3]]   )   )

             with self.assertRaises(_SCREAMING_SNAKE_CASE   ):
                   DisjunctiveConstraint([torch.LongTensor([1, 2, 4]   ), torch.LongTensor([1, 2, 3, 4, 5]   )]   )



       def 					lowercase__    (							self      :  str   )			->						str:


             '''simple docstring'''




             UpperCAmelCase_      			=							[[1, 2], [1, 2, 3, 4]]

             with self.assertRaises(_SCREAMING_SNAKE_CASE   ):
                   DisjunctiveConstraint(_SCREAMING_SNAKE_CASE   )  # fails here



       def 					lowercase__    (							self      :  int   )			->						Optional[Any]:


             '''simple docstring'''




             UpperCAmelCase_      			=							[[1, 2, 3], [1, 2, 4]]

             UpperCAmelCase_      			=							DisjunctiveConstraint(_SCREAMING_SNAKE_CASE   )

             UpperCAmelCase_      			=							dc.update(1   )
             UpperCAmelCase_      			=							stepped is True and completed is False and reset is False
             self.assertTrue(_SCREAMING_SNAKE_CASE   )
             self.assertTrue(not dc.completed   )
             self.assertTrue(dc.current_seq == [1]   )

             UpperCAmelCase_      			=							dc.update(2   )
             UpperCAmelCase_      			=							stepped is True and completed is False and reset is False
             self.assertTrue(_SCREAMING_SNAKE_CASE   )
             self.assertTrue(not dc.completed   )
             self.assertTrue(dc.current_seq == [1, 2]   )

             UpperCAmelCase_      			=							dc.update(3   )
             UpperCAmelCase_      			=							stepped is True and completed is True and reset is False
             self.assertTrue(_SCREAMING_SNAKE_CASE   )
             self.assertTrue(dc.completed   )  # Completed!
             self.assertTrue(dc.current_seq == [1, 2, 3]   )







       def 					lowercase__    (							self      :  List[str]   )			->						Optional[int]:


             '''simple docstring'''




             UpperCAmelCase_      			=							[[1, 2, 3], [1, 2, 4, 5], [1, 2, 5]]

             UpperCAmelCase_      			=							DisjunctiveConstraint(_SCREAMING_SNAKE_CASE   )

             UpperCAmelCase_      			=							dc.update(1   )
             self.assertTrue(not dc.completed   )
             self.assertTrue(dc.current_seq == [1]   )

             UpperCAmelCase_      			=							dc.update(2   )
             self.assertTrue(not dc.completed   )
             self.assertTrue(dc.current_seq == [1, 2]   )

             UpperCAmelCase_      			=							dc.update(4   )
             self.assertTrue(not dc.completed   )
             self.assertTrue(dc.current_seq == [1, 2, 4]   )

             UpperCAmelCase_      			=							dc.update(5   )
             self.assertTrue(dc.completed   )  # Completed!
             self.assertTrue(dc.current_seq == [1, 2, 4, 5]   )

             dc.reset()

             UpperCAmelCase_      			=							dc.update(1   )
             self.assertTrue(not dc.completed   )
             self.assertTrue(dc.remaining() == 3   )
             self.assertTrue(dc.current_seq == [1]   )

             UpperCAmelCase_      			=							dc.update(2   )
             self.assertTrue(not dc.completed   )
             self.assertTrue(dc.remaining() == 2   )
             self.assertTrue(dc.current_seq == [1, 2]   )

             UpperCAmelCase_      			=							dc.update(5   )
             self.assertTrue(dc.completed   )  # Completed!
             self.assertTrue(dc.remaining() == 0   )
             self.assertTrue(dc.current_seq == [1, 2, 5]   )









"""simple docstring"""





def        a__     (				lowerCAmelCase__ = 2000000				):
      UpperCAmelCase_      			=							[0 for i in range(n + 1				)]
      UpperCAmelCase_      			=							1
      UpperCAmelCase_      			=							1

      for i in range(2     ,      int(n**0.5				) + 1				):
            if primality_list[i] == 0:
                  for j in range(i * i     ,      n + 1     ,      lowerCAmelCase__				):
                        UpperCAmelCase_      			=							1
      UpperCAmelCase_      			=							0
      for i in range(lowerCAmelCase__				):
            if primality_list[i] == 0:
                  sum_of_primes += i
      return sum_of_primes


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




