





import math






def 					lowerCamelCase_						(    _UpperCamelCase			)		->						list:






				"""simple docstring"""


				snake_case_						:   int           =  [True] * n
				snake_case_						:   List[Any]           =  False
				snake_case_						:   int           =  False
				snake_case_						:   str           =  True

				for i in range(3			,    int(n**0.5 + 1			)			,    2			):
								snake_case_						:   int           =  i * 2
								while index < n:
												snake_case_						:   Optional[Any]           =  False
												snake_case_						:   Any           =  index + i

				snake_case_						:   Tuple           =  [2]

				for i in range(3			,    _UpperCamelCase			,    2			):
								if is_prime[i]:
												primes.append(_UpperCamelCase			)

				return primes






def 					lowerCamelCase_						(    _UpperCamelCase = 999_966_663_333			)		->						int:






				"""simple docstring"""


				snake_case_						:   str           =  math.floor(math.sqrt(_UpperCamelCase			)			) + 100
				snake_case_						:   str           =  prime_sieve(_UpperCamelCase			)

				snake_case_						:   int           =  0
				snake_case_						:   Tuple           =  0
				snake_case_						:   int           =  primes[prime_index]

				while (last_prime**2) <= limit:
								snake_case_						:   Tuple           =  primes[prime_index + 1]

								snake_case_						:   Union[str, Any]           =  last_prime**2
								snake_case_						:   str           =  next_prime**2

								# Get numbers divisible by lps(current)
								snake_case_						:   Optional[Any]           =  lower_bound + last_prime
								while upper_bound > current <= limit:
												matches_sum += current
												current += last_prime

								# Reset the upper_bound
								while (upper_bound - next_prime) > limit:
												upper_bound -= next_prime

								# Add the numbers divisible by ups(current)
								snake_case_						:   Tuple           =  upper_bound - next_prime
								while current > lower_bound:
												matches_sum += current
												current -= next_prime

								# Remove the numbers divisible by both ups and lps
								snake_case_						:   Dict           =  0
								while upper_bound > current <= limit:
												if current <= lower_bound:
																# Increment the current number
																current += last_prime * next_prime
																continue

												if current > limit:
																break

												# Remove twice since it was added by both ups and lps
												matches_sum -= current * 2

												# Increment the current number
												current += last_prime * next_prime

								# Setup for next pair
								snake_case_						:   Dict           =  next_prime
								prime_index += 1

				return matches_sum


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







import unittest

from transformers import GPTSwaTokenizer
from transformers.testing_utils import get_tests_dir, require_sentencepiece, require_tokenizers, slow

from ...test_tokenization_common import TokenizerTesterMixin


lowerCAmelCase_    =    get_tests_dir('''fixtures/test_sentencepiece_with_bytefallback.model''')



@require_sentencepiece
@require_tokenizers
class  __lowerCAmelCase	(      _a,					unittest.TestCase					):
			lowerCamelCase_					:					List[str]	      =				GPTSwaTokenizer
			lowerCamelCase_					:					str	      =				False
			lowerCamelCase_					:					str	      =				True
			lowerCamelCase_					:					List[Any]	      =				False






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


							'''simple docstring'''



							super().setUp()

							# We have a SentencePiece fixture for testing
							snake_case_						:   Union[str, Any]           =  GPTSwaTokenizer(__magic_name__ ,							eos_token='''<unk>''' ,							bos_token='''<unk>''' ,							pad_token='''<unk>'''   )

							tokenizer.save_pretrained(self.tmpdirname   )






			def       lowerCamelCase  (self ,							__magic_name__   )					->       int:


							'''simple docstring'''



							snake_case_						:   Any           =  '''This is a test'''
							snake_case_						:   str           =  '''This is a test'''
							return input_text, output_text






			def       lowerCamelCase  (self   )					->       Any:


							'''simple docstring'''



							snake_case_						:   int           =  '''<s>'''
							snake_case_						:   Any           =  1

							self.assertEqual(self.get_tokenizer()._convert_token_to_id(__magic_name__   ) ,							__magic_name__   )
							self.assertEqual(self.get_tokenizer()._convert_id_to_token(__magic_name__   ) ,							__magic_name__   )






			def       lowerCamelCase  (self   )					->       List[Any]:


							'''simple docstring'''



							snake_case_						:   Union[str, Any]           =  list(self.get_tokenizer().get_vocab().keys()   )

							self.assertEqual(vocab_keys[0] ,							'''<unk>'''   )
							self.assertEqual(vocab_keys[1] ,							'''<s>'''   )
							self.assertEqual(vocab_keys[-1] ,							'''j'''   )
							self.assertEqual(len(__magic_name__   ) ,							2000   )






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


							'''simple docstring'''



							self.assertEqual(self.get_tokenizer().vocab_size ,							2000   )






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


							'''simple docstring'''



							snake_case_						:   str           =  GPTSwaTokenizer(__magic_name__   )

							snake_case_						:   List[str]           =  tokenizer.tokenize('''This is a test'''   )
							self.assertListEqual(__magic_name__ ,							['''▁This''', '''▁is''', '''▁a''', '''▁t''', '''est''']   )

							self.assertListEqual(tokenizer.convert_tokens_to_ids(__magic_name__   ) ,							[465, 287, 265, 631, 842]   )

							snake_case_						:   Optional[int]           =  tokenizer.tokenize('''I was born in 92000, and this is falsé.'''   )
							# fmt: off
							self.assertListEqual(
							    __magic_name__ ,							['''▁I''', '''▁was''', '''▁bor''', '''n''', '''▁in''', '''▁''', '''<0x39>''', '''2''', '''0''', '''0''', '''0''', ''',''', '''▁and''', '''▁this''', '''▁is''', '''▁f''', '''al''', '''s''', '''<0xC3>''', '''<0xA9>''', '''.'''] ,							)
							# fmt: on

							snake_case_						:   int           =  tokenizer.convert_tokens_to_ids(__magic_name__   )
							self.assertListEqual(
							    __magic_name__ ,							[262, 272, 1525, 286, 271, 268, 60, 916, 633, 633, 633, 259, 266, 301, 287, 384, 367, 263, 198, 172, 260] ,							)

							snake_case_						:   Dict           =  tokenizer.convert_ids_to_tokens(__magic_name__   )
							# fmt: off
							self.assertListEqual(
							    __magic_name__ ,							['''▁I''', '''▁was''', '''▁bor''', '''n''', '''▁in''', '''▁''', '''<0x39>''', '''2''', '''0''', '''0''', '''0''', ''',''', '''▁and''', '''▁this''', '''▁is''', '''▁f''', '''al''', '''s''', '''<0xC3>''', '''<0xA9>''', '''.''']   )
							# fmt: on






			def       lowerCamelCase  (self   )					->       Union[str, Any]:


							'''simple docstring'''



							snake_case_						:   Optional[Any]           =  GPTSwaTokenizer(__magic_name__   )
							snake_case_						:   Tuple           =  ['''This is a test''', '''I was born in 92000, and this is falsé.''']
							snake_case_						:   Optional[int]           =  [
							    [465, 287, 265, 631, 842],
							    [262, 272, 1525, 286, 271, 268, 60, 916, 633, 633, 633, 259, 266, 301, 287, 384, 367, 263, 198, 172, 260],
							]

							# Test that encode_fast returns the same as tokenize + convert_tokens_to_ids
							for text, expected_ids in zip(__magic_name__ ,							__magic_name__   ):
											self.assertListEqual(tokenizer.encode_fast(__magic_name__   ) ,							__magic_name__   )

							# Test that decode_fast returns the input text
							for text, token_ids in zip(__magic_name__ ,							__magic_name__   ):
											self.assertEqual(tokenizer.decode_fast(__magic_name__   ) ,							__magic_name__   )






			@slow
			def       lowerCamelCase  (self   )					->       Tuple:


							'''simple docstring'''



							snake_case_						:   str           =  [
							    '''<|python|>def fibonacci(n)\n    if n < 0:\n        print(\'Incorrect input\')''',
							    '''Hey there, how are you doing this fine day?''',
							    '''This is a text with a trailing spaces followed by a dot     .''',
							    '''Häj sväjs lillebrör! =)''',
							    '''Det är inget fel på Mr. Cool''',
							]

							# fmt: off
							snake_case_						:   str           =  {'''input_ids''': [[6_3423, 5, 6811, 1_4954, 282, 816, 3821, 6_3466, 6_3425, 6_3462, 18, 6_3978, 678, 301, 1320, 6_3423, 6_3455, 6_3458, 18, 6_3982, 4246, 3940, 1901, 4_7789, 5547, 1_8994], [1_9630, 1100, 6_3446, 1342, 633, 544, 4488, 593, 5102, 2416, 6_3495, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [1652, 428, 268, 1936, 515, 268, 5_8593, 2_2413, 9106, 546, 268, 3_3213, 6_3979, 698, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [5_5130, 6_3450, 924, 6_3449, 2249, 4062, 1558, 318, 6_3504, 2_1498, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [509, 377, 2827, 2559, 332, 6575, 6_3443, 2_6801, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0]], '''token_type_ids''': [[0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0]], '''attention_mask''': [[1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1], [1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [1, 1, 1, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0]]}
							# fmt: on
							self.tokenizer_integration_test_util(
							    expected_encoding=__magic_name__ ,							model_name='''AI-Sweden/gpt-sw3-126m''' ,							sequences=__magic_name__ ,							)
