


from __future__ import annotations

from collections.abc import Generator







def        SCREAMING_SNAKE_CASE_						(			)	->		Generator[int, None, None]:

       """simple docstring"""

       a_					:		dict[int, int]							=  {}
       a_					:		Tuple							=  2
       while True:
              a_					:		Optional[int]							=  factor_map.pop(__A  ,    __A				)
              if factor:
                     a_					:		Union[str, Any]							=  factor + prime
                     while x in factor_map:
                            x += factor
                     a_					:		List[Any]							=  factor
              else:
                     a_					:		Tuple							=  prime
                     yield prime
              prime += 1







def        SCREAMING_SNAKE_CASE_						(			__A :			float = 1e1_0				)	->		int:

       """simple docstring"""

       a_					:		List[str]							=  sieve()

       a_					:		Any							=  1
       while True:
              a_					:		List[Any]							=  next(__A				)
              if (2 * prime * n) > limit:
                     return n
              # Ignore the next prime as the reminder will be 2.
              next(__A				)
              n += 2


if __name__ == "__main__":
   print(solution())




import shutil
import tempfile
import unittest
from unittest.mock import patch

from transformers import (
    DefaultFlowCallback,
    IntervalStrategy,
    PrinterCallback,
    ProgressCallback,
    Trainer,
    TrainerCallback,
    TrainingArguments,
    is_torch_available,
)
from transformers.testing_utils import require_torch


if is_torch_available():
	from transformers.trainer import DEFAULT_CALLBACKS

	from .test_trainer import RegressionDataset, RegressionModelConfig, RegressionPreTrainedModel







class        A_   (			__lowerCamelCase   ):




	'''simple docstring'''


	def __init__(       self       ):
		lowercase       =    []





	def 	SCREAMING_SNAKE_CASE__						(       self		,    snake_case		,    snake_case		,    snake_case		,    **snake_case       ):
		self.events.append('on_init_end'       )





	def 	SCREAMING_SNAKE_CASE__						(       self		,    snake_case		,    snake_case		,    snake_case		,    **snake_case       ):
		self.events.append('on_train_begin'       )





	def 	SCREAMING_SNAKE_CASE__						(       self		,    snake_case		,    snake_case		,    snake_case		,    **snake_case       ):
		self.events.append('on_train_end'       )





	def 	SCREAMING_SNAKE_CASE__						(       self		,    snake_case		,    snake_case		,    snake_case		,    **snake_case       ):
		self.events.append('on_epoch_begin'       )





	def 	SCREAMING_SNAKE_CASE__						(       self		,    snake_case		,    snake_case		,    snake_case		,    **snake_case       ):
		self.events.append('on_epoch_end'       )





	def 	SCREAMING_SNAKE_CASE__						(       self		,    snake_case		,    snake_case		,    snake_case		,    **snake_case       ):
		self.events.append('on_step_begin'       )





	def 	SCREAMING_SNAKE_CASE__						(       self		,    snake_case		,    snake_case		,    snake_case		,    **snake_case       ):
		self.events.append('on_step_end'       )





	def 	SCREAMING_SNAKE_CASE__						(       self		,    snake_case		,    snake_case		,    snake_case		,    **snake_case       ):
		self.events.append('on_evaluate'       )





	def 	SCREAMING_SNAKE_CASE__						(       self		,    snake_case		,    snake_case		,    snake_case		,    **snake_case       ):
		self.events.append('on_predict'       )





	def 	SCREAMING_SNAKE_CASE__						(       self		,    snake_case		,    snake_case		,    snake_case		,    **snake_case       ):
		self.events.append('on_save'       )





	def 	SCREAMING_SNAKE_CASE__						(       self		,    snake_case		,    snake_case		,    snake_case		,    **snake_case       ):
		self.events.append('on_log'       )





	def 	SCREAMING_SNAKE_CASE__						(       self		,    snake_case		,    snake_case		,    snake_case		,    **snake_case       ):
		self.events.append('on_prediction_step'       )







@require_torch
class        A_   (			unittest.TestCase   ):




	'''simple docstring'''


	def 	SCREAMING_SNAKE_CASE__						(       self       ):
		lowercase       =    tempfile.mkdtemp()





	def 	SCREAMING_SNAKE_CASE__						(       self       ):
		shutil.rmtree(self.output_dir       )





	def 	SCREAMING_SNAKE_CASE__						(       self		,    snake_case=0		,    snake_case=0		,    snake_case=64		,    snake_case=64		,    snake_case=None		,    snake_case=False		,    **snake_case       ):
		# disable_tqdm in TrainingArguments has a flaky default since it depends on the level of logging. We make sure
		# its set to False since the tests later on depend on its value.
		lowercase       =    RegressionDataset(length=snake_case       )
		lowercase       =    RegressionDataset(length=snake_case       )
		lowercase       =    RegressionModelConfig(a=snake_case		,    b=snake_case       )
		lowercase       =    RegressionPreTrainedModel(snake_case       )

		lowercase       =    TrainingArguments(self.output_dir		,    disable_tqdm=snake_case		,    report_to=[]		,    **snake_case       )
		return Trainer(
		    snake_case		,    snake_case		,    train_dataset=snake_case		,    eval_dataset=snake_case		,    callbacks=snake_case		,    )





	def 	SCREAMING_SNAKE_CASE__						(       self		,    snake_case		,    snake_case       ):
		self.assertEqual(len(snake_case       )		,    len(snake_case       )       )

		# Order doesn't matter
		lowercase       =    sorted(snake_case		,    key=lambda snake_case       : cb.__name__ if isinstance(snake_case		,    snake_case       ) else cb.__class__.__name__       )
		lowercase       =    sorted(snake_case		,    key=lambda snake_case       : cb.__name__ if isinstance(snake_case		,    snake_case       ) else cb.__class__.__name__       )

		for cba, cba in zip(snake_case		,    snake_case       ):
			if isinstance(snake_case		,    snake_case       ) and isinstance(snake_case		,    snake_case       ):
				self.assertEqual(snake_case		,    snake_case       )
			elif isinstance(snake_case		,    snake_case       ) and not isinstance(snake_case		,    snake_case       ):
				self.assertEqual(snake_case		,    cba.__class__       )
			elif not isinstance(snake_case		,    snake_case       ) and isinstance(snake_case		,    snake_case       ):
				self.assertEqual(cba.__class__		,    snake_case       )
			else:
				self.assertEqual(snake_case		,    snake_case       )





	def 	SCREAMING_SNAKE_CASE__						(       self		,    snake_case       ):
		lowercase       =    ['on_init_end', 'on_train_begin']
		lowercase       =    0
		lowercase       =    len(trainer.get_eval_dataloader()       )
		lowercase       =    ['on_prediction_step'] * len(trainer.get_eval_dataloader()       ) + ['on_log', 'on_evaluate']
		for _ in range(trainer.state.num_train_epochs       ):
			expected_events.append('on_epoch_begin'       )
			for _ in range(snake_case       ):
				step += 1
				expected_events += ["on_step_begin", "on_step_end"]
				if step % trainer.args.logging_steps == 0:
					expected_events.append('on_log'       )
				if trainer.args.evaluation_strategy == IntervalStrategy.STEPS and step % trainer.args.eval_steps == 0:
					expected_events += evaluation_events.copy()
				if step % trainer.args.save_steps == 0:
					expected_events.append('on_save'       )
			expected_events.append('on_epoch_end'       )
			if trainer.args.evaluation_strategy == IntervalStrategy.EPOCH:
				expected_events += evaluation_events.copy()
		expected_events += ["on_log", "on_train_end"]
		return expected_events





	def 	SCREAMING_SNAKE_CASE__						(       self       ):
		lowercase       =    self.get_trainer()
		lowercase       =    DEFAULT_CALLBACKS.copy() + [ProgressCallback]
		self.check_callbacks_equality(trainer.callback_handler.callbacks		,    snake_case       )

		# Callbacks passed at init are added to the default callbacks
		lowercase       =    self.get_trainer(callbacks=[MyTestTrainerCallback]       )
		expected_callbacks.append(snake_case       )
		self.check_callbacks_equality(trainer.callback_handler.callbacks		,    snake_case       )

		# TrainingArguments.disable_tqdm controls if use ProgressCallback or PrinterCallback
		lowercase       =    self.get_trainer(disable_tqdm=snake_case       )
		lowercase       =    DEFAULT_CALLBACKS.copy() + [PrinterCallback]
		self.check_callbacks_equality(trainer.callback_handler.callbacks		,    snake_case       )





	def 	SCREAMING_SNAKE_CASE__						(       self       ):
		lowercase       =    DEFAULT_CALLBACKS.copy() + [ProgressCallback]
		lowercase       =    self.get_trainer()

		# We can add, pop, or remove by class name
		trainer.remove_callback(snake_case       )
		expected_callbacks.remove(snake_case       )
		self.check_callbacks_equality(trainer.callback_handler.callbacks		,    snake_case       )

		lowercase       =    self.get_trainer()
		lowercase       =    trainer.pop_callback(snake_case       )
		self.assertEqual(cb.__class__		,    snake_case       )
		self.check_callbacks_equality(trainer.callback_handler.callbacks		,    snake_case       )

		trainer.add_callback(snake_case       )
		expected_callbacks.insert(0		,    snake_case       )
		self.check_callbacks_equality(trainer.callback_handler.callbacks		,    snake_case       )

		# We can also add, pop, or remove by instance
		lowercase       =    self.get_trainer()
		lowercase       =    trainer.callback_handler.callbacks[0]
		trainer.remove_callback(snake_case       )
		expected_callbacks.remove(snake_case       )
		self.check_callbacks_equality(trainer.callback_handler.callbacks		,    snake_case       )

		lowercase       =    self.get_trainer()
		lowercase       =    trainer.callback_handler.callbacks[0]
		lowercase       =    trainer.pop_callback(snake_case       )
		self.assertEqual(snake_case		,    snake_case       )
		self.check_callbacks_equality(trainer.callback_handler.callbacks		,    snake_case       )

		trainer.add_callback(snake_case       )
		expected_callbacks.insert(0		,    snake_case       )
		self.check_callbacks_equality(trainer.callback_handler.callbacks		,    snake_case       )





	def 	SCREAMING_SNAKE_CASE__						(       self       ):
		import warnings

		# XXX: for now ignore scatter_gather warnings in this test since it's not relevant to what's being tested
		warnings.simplefilter(action='ignore'		,    category=snake_case       )

		lowercase       =    self.get_trainer(callbacks=[MyTestTrainerCallback]       )
		trainer.train()
		lowercase       =    trainer.callback_handler.callbacks[-2].events
		self.assertEqual(snake_case		,    self.get_expected_events(snake_case       )       )

		# Independent log/save/eval
		lowercase       =    self.get_trainer(callbacks=[MyTestTrainerCallback]		,    logging_steps=5       )
		trainer.train()
		lowercase       =    trainer.callback_handler.callbacks[-2].events
		self.assertEqual(snake_case		,    self.get_expected_events(snake_case       )       )

		lowercase       =    self.get_trainer(callbacks=[MyTestTrainerCallback]		,    save_steps=5       )
		trainer.train()
		lowercase       =    trainer.callback_handler.callbacks[-2].events
		self.assertEqual(snake_case		,    self.get_expected_events(snake_case       )       )

		lowercase       =    self.get_trainer(callbacks=[MyTestTrainerCallback]		,    eval_steps=5		,    evaluation_strategy='steps'       )
		trainer.train()
		lowercase       =    trainer.callback_handler.callbacks[-2].events
		self.assertEqual(snake_case		,    self.get_expected_events(snake_case       )       )

		lowercase       =    self.get_trainer(callbacks=[MyTestTrainerCallback]		,    evaluation_strategy='epoch'       )
		trainer.train()
		lowercase       =    trainer.callback_handler.callbacks[-2].events
		self.assertEqual(snake_case		,    self.get_expected_events(snake_case       )       )

		# A bit of everything
		lowercase       =    self.get_trainer(
		    callbacks=[MyTestTrainerCallback]		,    logging_steps=3		,    save_steps=10		,    eval_steps=5		,    evaluation_strategy='steps'		,    )
		trainer.train()
		lowercase       =    trainer.callback_handler.callbacks[-2].events
		self.assertEqual(snake_case		,    self.get_expected_events(snake_case       )       )

		# warning should be emitted for duplicated callbacks
		with patch('transformers.trainer_callback.logger.warning'       ) as warn_mock:
			lowercase       =    self.get_trainer(
			    callbacks=[MyTestTrainerCallback, MyTestTrainerCallback]		,    )
			assert str(snake_case       ) in warn_mock.call_args[0][0]

