




"""simple docstring"""




import math
from collections.abc import Iterator
from itertools import takewhile



def     a__ (				snake_case__				)						->					bool:

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



def     a__ (				)						->					Iterator[int]:
			lowerCamelCase			      =					2
			while True:
						if is_prime(snake_case__				):
									yield num
						num += 1



def     a__ (				snake_case__ = 2_00_00_00				)						->					int:
			return sum(takewhile(lambda snake_case__				: x < n       , prime_generator()				)				)


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









"""simple docstring"""




import json
import os
import shutil
import tempfile
import unittest

import numpy as np

from transformers import BertTokenizerFast
from transformers.models.bert.tokenization_bert import VOCAB_FILES_NAMES, BertTokenizer
from transformers.testing_utils import require_tokenizers, require_vision
from transformers.utils import IMAGE_PROCESSOR_NAME, is_vision_available


if is_vision_available():
					from PIL import Image

					from transformers import VisionTextDualEncoderProcessor, ViTImageProcessor






@require_tokenizers
@require_vision
class     __magic_name__							(       unittest.TestCase				):






				'''simple docstring'''





				def    _lowerCAmelCase				(       self ):





							"""simple docstring"""
							lowerCamelCase			      =					tempfile.mkdtemp()

							# fmt: off
							lowerCamelCase			      =					["""[UNK]""", """[CLS]""", """[SEP]""", """[PAD]""", """[MASK]""", """want""", """##want""", """##ed""", """wa""", """un""", """runn""", """##ing""", """,""", """low""", """lowest"""]
							# fmt: on
							lowerCamelCase			      =					os.path.join(self.tmpdirname		, VOCAB_FILES_NAMES["""vocab_file"""] )
							with open(self.vocab_file		, """w"""		, encoding="""utf-8""" ) as vocab_writer:
										vocab_writer.write("""""".join([x + """\n""" for x in vocab_tokens] ) )

							lowerCamelCase			      =					{
							    """do_resize""": True,
							    """size""": {"""height""": 18, """width""": 18},
							    """do_normalize""": True,
							    """image_mean""": [0.5, 0.5, 0.5],
							    """image_std""": [0.5, 0.5, 0.5],
							}
							lowerCamelCase			      =					os.path.join(self.tmpdirname		, _a )
							with open(self.image_processor_file		, """w"""		, encoding="""utf-8""" ) as fp:
										json.dump(_a		, _a )





				def    _lowerCAmelCase				(       self		, **_a ):





							"""simple docstring"""
							return BertTokenizer.from_pretrained(self.tmpdirname		, **_a )





				def    _lowerCAmelCase				(       self		, **_a ):





							"""simple docstring"""
							return ViTImageProcessor.from_pretrained(self.tmpdirname		, **_a )





				def    _lowerCAmelCase				(       self ):





							"""simple docstring"""
							shutil.rmtree(self.tmpdirname )





				def    _lowerCAmelCase				(       self ):





							"""simple docstring"""
							lowerCamelCase			      =					[np.random.randint(255		, size=(3, 30, 400)		, dtype=np.uinta )]

							lowerCamelCase			      =					[Image.fromarray(np.moveaxis(_a		, 0		, -1 ) ) for x in image_inputs]

							return image_inputs





				def    _lowerCAmelCase				(       self ):





							"""simple docstring"""
							lowerCamelCase			      =					self.get_tokenizer()
							lowerCamelCase			      =					self.get_image_processor()

							lowerCamelCase			      =					VisionTextDualEncoderProcessor(tokenizer=_a		, image_processor=_a )

							processor.save_pretrained(self.tmpdirname )
							lowerCamelCase			      =					VisionTextDualEncoderProcessor.from_pretrained(self.tmpdirname )

							self.assertEqual(processor.tokenizer.get_vocab()		, tokenizer.get_vocab() )
							self.assertIsInstance(processor.tokenizer		, (BertTokenizer, BertTokenizerFast) )

							self.assertEqual(processor.image_processor.to_json_string()		, image_processor.to_json_string() )
							self.assertIsInstance(processor.image_processor		, _a )





				def    _lowerCAmelCase				(       self ):





							"""simple docstring"""
							lowerCamelCase			      =					VisionTextDualEncoderProcessor(
							    tokenizer=self.get_tokenizer()		, image_processor=self.get_image_processor() )
							processor.save_pretrained(self.tmpdirname )

							lowerCamelCase			      =					self.get_tokenizer(bos_token="""(BOS)"""		, eos_token="""(EOS)""" )
							lowerCamelCase			      =					self.get_image_processor(do_normalize=_a		, padding_value=1.0 )

							lowerCamelCase			      =					VisionTextDualEncoderProcessor.from_pretrained(
							    self.tmpdirname		, bos_token="""(BOS)"""		, eos_token="""(EOS)"""		, do_normalize=_a		, padding_value=1.0 )

							self.assertEqual(processor.tokenizer.get_vocab()		, tokenizer_add_kwargs.get_vocab() )
							self.assertIsInstance(processor.tokenizer		, (BertTokenizer, BertTokenizerFast) )

							self.assertEqual(processor.image_processor.to_json_string()		, image_processor_add_kwargs.to_json_string() )
							self.assertIsInstance(processor.image_processor		, _a )





				def    _lowerCAmelCase				(       self ):





							"""simple docstring"""
							lowerCamelCase			      =					self.get_image_processor()
							lowerCamelCase			      =					self.get_tokenizer()

							lowerCamelCase			      =					VisionTextDualEncoderProcessor(tokenizer=_a		, image_processor=_a )

							lowerCamelCase			      =					self.prepare_image_inputs()

							lowerCamelCase			      =					image_processor(_a		, return_tensors="""np""" )
							lowerCamelCase			      =					processor(images=_a		, return_tensors="""np""" )

							for key in input_feat_extract.keys():
										self.assertAlmostEqual(input_feat_extract[key].sum()		, input_processor[key].sum()		, delta=1e-2 )





				def    _lowerCAmelCase				(       self ):





							"""simple docstring"""
							lowerCamelCase			      =					self.get_image_processor()
							lowerCamelCase			      =					self.get_tokenizer()

							lowerCamelCase			      =					VisionTextDualEncoderProcessor(tokenizer=_a		, image_processor=_a )

							lowerCamelCase			      =					"""lower newer"""

							lowerCamelCase			      =					processor(text=_a )

							lowerCamelCase			      =					tokenizer(_a )

							for key in encoded_tok.keys():
										self.assertListEqual(encoded_tok[key]		, encoded_processor[key] )





				def    _lowerCAmelCase				(       self ):





							"""simple docstring"""
							lowerCamelCase			      =					self.get_image_processor()
							lowerCamelCase			      =					self.get_tokenizer()

							lowerCamelCase			      =					VisionTextDualEncoderProcessor(tokenizer=_a		, image_processor=_a )

							lowerCamelCase			      =					"""lower newer"""
							lowerCamelCase			      =					self.prepare_image_inputs()

							lowerCamelCase			      =					processor(text=_a		, images=_a )

							self.assertListEqual(list(inputs.keys() )		, ["""input_ids""", """token_type_ids""", """attention_mask""", """pixel_values"""] )

							# test if it raises when no input is passed
							with self.assertRaises(_a ):
										processor()





				def    _lowerCAmelCase				(       self ):





							"""simple docstring"""
							lowerCamelCase			      =					self.get_image_processor()
							lowerCamelCase			      =					self.get_tokenizer()

							lowerCamelCase			      =					VisionTextDualEncoderProcessor(tokenizer=_a		, image_processor=_a )

							lowerCamelCase			      =					[[1, 4, 5, 8, 1, 0, 8], [3, 4, 3, 1, 1, 8, 9]]

							lowerCamelCase			      =					processor.batch_decode(_a )
							lowerCamelCase			      =					tokenizer.batch_decode(_a )

							self.assertListEqual(_a		, _a )





				def    _lowerCAmelCase				(       self ):





							"""simple docstring"""
							lowerCamelCase			      =					self.get_image_processor()
							lowerCamelCase			      =					self.get_tokenizer()

							lowerCamelCase			      =					VisionTextDualEncoderProcessor(tokenizer=_a		, image_processor=_a )

							lowerCamelCase			      =					"""lower newer"""
							lowerCamelCase			      =					self.prepare_image_inputs()

							lowerCamelCase			      =					processor(text=_a		, images=_a )

							self.assertListEqual(list(inputs.keys() )		, processor.model_input_names )



