





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 			__UpperCamelCase    (							unittest.TestCase    ):





     def 		UpperCamelCase(     self					):
        # For consistency across different places the DisjunctiveConstraint is called,
        # dc.token_ids is a list of integers. It is also initialized only by integers.

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

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

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





     def 		UpperCamelCase(     self					):
        # We can't have constraints that are complete subsets of another. This leads to a preverse
        # interpretation of "constraint fulfillment": does generating [1,2,3] fulfill the constraint?
        # It would mean that it generated [1,2] which fulfills it, but it's in the middle of potentially
        # fulfilling [1,2,3,4]. If we believe that [1,2,3] does fulfill the constraint, then the algorithm
        # will necessarily never reach [1,2,3,4], giving users a false sense of control (better to just not allow it).
        _UpperCAmelCase           =   [[1, 2], [1, 2, 3, 4]]

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





     def 		UpperCamelCase(     self					):
        _UpperCAmelCase           =   [[1, 2, 3], [1, 2, 4]]

        _UpperCAmelCase           =   DisjunctiveConstraint(_UpperCamelCase					)

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

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

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





     def 		UpperCamelCase(     self					):
        _UpperCAmelCase           =   [[1, 2, 3], [1, 2, 4, 5], [1, 2, 5]]

        _UpperCAmelCase           =   DisjunctiveConstraint(_UpperCamelCase					)

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

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

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

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

        dc.reset()

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

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

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






def      A__       (    SCREAMING_SNAKE_CASE_   :      int = 2_00_00_00						)  ->  int:






   """simple docstring"""







   _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				,	SCREAMING_SNAKE_CASE_						):
            _UpperCAmelCase           =   1
   _UpperCAmelCase           =   0
   for i in range(SCREAMING_SNAKE_CASE_						):
      if primality_list[i] == 0:
         sum_of_primes += i
   return sum_of_primes


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