

def    __UpperCAmelCase (	__a      :			int	)			->     int:

					"""simple docstring"""

					assert isinstance(__a		,__a	), F"""The input value of [n={number}] is not an integer"""

					if number == 1:
										return 2
					elif number < 1:
										_a	:    Optional[Any]         =		F"""The input value of [n={number}] has to be > 0"""
										raise ValueError(__a	)
					else:
										_a	:    Optional[int]         =		sylvester(number - 1	)
										_a	:    str         =		num - 1
										_a	:    List[Any]         =		num
										return lower * upper + 1


if __name__ == "__main__":
			print(f'''The 8th number in Sylvester\'s sequence: {sylvester(8)}''')






import json
import os
import unittest

from transformers import AutoTokenizer, GPTaTokenizer, GPTaTokenizerFast
from transformers.models.gpta.tokenization_gpta import VOCAB_FILES_NAMES
from transformers.testing_utils import require_tokenizers

from ...test_tokenization_common import TokenizerTesterMixin

@require_tokenizers
class 				UpperCAmelCase_		(			__lowercase				,       unittest.TestCase   ):
							"""simple docstring"""







							UpperCAmelCase__       :						int	    =    GPTaTokenizer
							UpperCAmelCase__       :						str	    =    GPTaTokenizerFast
							UpperCAmelCase__       :						Tuple	    =    True
							UpperCAmelCase__       :						List[Any]	    =    {"add_prefix_space": True}
							UpperCAmelCase__       :						int	    =    False


							def 				__lowercase				(			self       )    ->    int:
												super().setUp()

												# Adapted from Sennrich et al. 2015 and https://github.com/rsennrich/subword-nmt
												_a	:    str         =		[
												    '''l''',
												    '''o''',
												    '''w''',
												    '''e''',
												    '''r''',
												    '''s''',
												    '''t''',
												    '''i''',
												    '''d''',
												    '''n''',
												    '''\u0120''',
												    '''\u0120l''',
												    '''\u0120n''',
												    '''\u0120lo''',
												    '''\u0120low''',
												    '''er''',
												    '''\u0120lowest''',
												    '''\u0120newer''',
												    '''\u0120wider''',
												    '''<unk>''',
												    '''<|endoftext|>''',
												]
												_a	:    List[Any]         =		dict(zip(_a       ,							range(len(_a       )       )       )       )
												_a	:    Tuple         =		['''#version: 0.2''', '''\u0120 l''', '''\u0120l o''', '''\u0120lo w''', '''e r''', '''''']
												_a	:    List[str]         =		{'''unk_token''': '''<unk>'''}

												_a	:    List[str]         =		os.path.join(self.tmpdirname       ,							VOCAB_FILES_NAMES['''vocab_file''']       )
												_a	:    Tuple         =		os.path.join(self.tmpdirname       ,							VOCAB_FILES_NAMES['''merges_file''']       )
												with open(self.vocab_file       ,							'''w'''       ,							encoding='''utf-8'''       ) as fp:
																	fp.write(json.dumps(_a       ) + '''\n'''       )
												with open(self.merges_file       ,							'''w'''       ,							encoding='''utf-8'''       ) as fp:
																	fp.write('''\n'''.join(_a       )       )


							def 				__lowercase				(			self       ,							**_a       )    ->    List[str]:
												kwargs.update(self.special_tokens_map       )
												return GPTaTokenizer.from_pretrained(self.tmpdirname       ,							**_a       )


							def 				__lowercase				(			self       ,							**_a       )    ->    List[Any]:
												kwargs.update(self.special_tokens_map       )
												return GPTaTokenizerFast.from_pretrained(self.tmpdirname       ,							**_a       )


							def 				__lowercase				(			self       ,							_a       )    ->    Optional[Any]:
												_a	:    Tuple         =		'''lower newer'''
												_a	:    Tuple         =		'''lower newer'''
												return input_text, output_text


							def 				__lowercase				(			self       )    ->    Any:
												_a	:    Any         =		GPTaTokenizer(self.vocab_file       ,							self.merges_file       ,							**self.special_tokens_map       )
												_a	:    int         =		'''lower newer'''
												_a	:    int         =		['''\u0120low''', '''er''', '''\u0120''', '''n''', '''e''', '''w''', '''er''']
												_a	:    List[str]         =		tokenizer.tokenize(_a       ,							add_prefix_space=_a       )
												self.assertListEqual(_a       ,							_a       )

												_a	:    Optional[int]         =		tokens + [tokenizer.unk_token]
												_a	:    List[Any]         =		[1_4, 1_5, 1_0, 9, 3, 2, 1_5, 1_9]
												self.assertListEqual(tokenizer.convert_tokens_to_ids(_a       )       ,							_a       )


							def 				__lowercase				(			self       )    ->    Optional[int]:
												if not self.test_rust_tokenizer:
																	return

												_a	:    int         =		self.get_tokenizer()
												_a	:    Tuple         =		self.get_rust_tokenizer(add_prefix_space=_a       )

												_a	:    Tuple         =		'''lower newer'''

												# Testing tokenization
												_a	:    List[str]         =		tokenizer.tokenize(_a       ,							add_prefix_space=_a       )
												_a	:    Optional[Any]         =		rust_tokenizer.tokenize(_a       )
												self.assertListEqual(_a       ,							_a       )

												# Testing conversion to ids without special tokens
												_a	:    List[Any]         =		tokenizer.encode(_a       ,							add_special_tokens=_a       ,							add_prefix_space=_a       )
												_a	:    List[Any]         =		rust_tokenizer.encode(_a       ,							add_special_tokens=_a       )
												self.assertListEqual(_a       ,							_a       )

												# Testing conversion to ids with special tokens
												_a	:    List[str]         =		self.get_rust_tokenizer(add_prefix_space=_a       )
												_a	:    List[str]         =		tokenizer.encode(_a       ,							add_prefix_space=_a       )
												_a	:    Tuple         =		rust_tokenizer.encode(_a       )
												self.assertListEqual(_a       ,							_a       )

												# Testing the unknown token
												_a	:    Optional[Any]         =		tokens + [rust_tokenizer.unk_token]
												_a	:    str         =		[1_4, 1_5, 1_0, 9, 3, 2, 1_5, 1_9]
												self.assertListEqual(rust_tokenizer.convert_tokens_to_ids(_a       )       ,							_a       )


							def 				__lowercase				(			self       ,							*_a       ,							**_a       )    ->    int:
												# It's very difficult to mix/test pretokenization with byte-level
												# And get both GPT2 and Roberta to work at the same time (mostly an issue of adding a space before the string)
												pass


							def 				__lowercase				(			self       ,							_a=1_5       )    ->    str:
												for tokenizer, pretrained_name, kwargs in self.tokenizers_list:
																	with self.subTest(F"""{tokenizer.__class__.__name__} ({pretrained_name})"""       ):
																						_a	:    Optional[int]         =		self.rust_tokenizer_class.from_pretrained(_a       ,							**_a       )

																						# Simple input
																						_a	:    List[str]         =		'''This is a simple input'''
																						_a	:    Optional[Any]         =		['''This is a simple input 1''', '''This is a simple input 2''']
																						_a	:    Tuple         =		('''This is a simple input''', '''This is a pair''')
																						_a	:    Optional[Any]         =		[
																						    ('''This is a simple input 1''', '''This is a simple input 2'''),
																						    ('''This is a simple pair 1''', '''This is a simple pair 2'''),
																						]

																						# Simple input tests
																						self.assertRaises(_a       ,							tokenizer_r.encode       ,							_a       ,							max_length=_a       ,							padding='''max_length'''       )

																						# Simple input
																						self.assertRaises(_a       ,							tokenizer_r.encode_plus       ,							_a       ,							max_length=_a       ,							padding='''max_length'''       )

																						# Simple input
																						self.assertRaises(
																						    _a       ,							tokenizer_r.batch_encode_plus       ,							_a       ,							max_length=_a       ,							padding='''max_length'''       ,							)

																						# Pair input
																						self.assertRaises(_a       ,							tokenizer_r.encode       ,							_a       ,							max_length=_a       ,							padding='''max_length'''       )

																						# Pair input
																						self.assertRaises(_a       ,							tokenizer_r.encode_plus       ,							_a       ,							max_length=_a       ,							padding='''max_length'''       )

																						# Pair input
																						self.assertRaises(
																						    _a       ,							tokenizer_r.batch_encode_plus       ,							_a       ,							max_length=_a       ,							padding='''max_length'''       ,							)


							def 				__lowercase				(			self       )    ->    List[Any]:
												_a	:    int         =		GPTaTokenizer.from_pretrained(self.tmpdirname       ,							pad_token='''<pad>'''       )

												# Simple input
												_a	:    int         =		'''This is a simple input'''
												_a	:    int         =		['''This is a simple input looooooooong''', '''This is a simple input''']
												_a	:    Any         =		('''This is a simple input''', '''This is a pair''')
												_a	:    Dict         =		[
												    ('''This is a simple input loooooong''', '''This is a simple input'''),
												    ('''This is a simple pair loooooong''', '''This is a simple pair'''),
												]

												_a	:    Optional[int]         =		tokenizer.pad_token_id

												_a	:    List[Any]         =		tokenizer(_a       ,							padding='''max_length'''       ,							max_length=3_0       ,							return_tensors='''np'''       )
												_a	:    Optional[int]         =		tokenizer(_a       ,							padding=_a       ,							truncate=_a       ,							return_tensors='''np'''       )
												_a	:    int         =		tokenizer(*_a       ,							padding='''max_length'''       ,							max_length=6_0       ,							return_tensors='''np'''       )
												_a	:    Union[str, Any]         =		tokenizer(_a       ,							padding=_a       ,							truncate=_a       ,							return_tensors='''np'''       )

												# s
												# test single string max_length padding
												self.assertEqual(out_s['''input_ids'''].shape[-1]       ,							3_0       )
												self.assertTrue(pad_token_id in out_s['''input_ids''']       )
												self.assertTrue(0 in out_s['''attention_mask''']       )

												# s2
												# test automatic padding
												self.assertEqual(out_sa['''input_ids'''].shape[-1]       ,							3_3       )
												# long slice doesn't have padding
												self.assertFalse(pad_token_id in out_sa['''input_ids'''][0]       )
												self.assertFalse(0 in out_sa['''attention_mask'''][0]       )
												# short slice does have padding
												self.assertTrue(pad_token_id in out_sa['''input_ids'''][1]       )
												self.assertTrue(0 in out_sa['''attention_mask'''][1]       )

												# p
												# test single pair max_length padding
												self.assertEqual(out_p['''input_ids'''].shape[-1]       ,							6_0       )
												self.assertTrue(pad_token_id in out_p['''input_ids''']       )
												self.assertTrue(0 in out_p['''attention_mask''']       )

												# p2
												# test automatic padding pair
												self.assertEqual(out_pa['''input_ids'''].shape[-1]       ,							5_2       )
												# long slice pair doesn't have padding
												self.assertFalse(pad_token_id in out_pa['''input_ids'''][0]       )
												self.assertFalse(0 in out_pa['''attention_mask'''][0]       )
												# short slice pair does have padding
												self.assertTrue(pad_token_id in out_pa['''input_ids'''][1]       )
												self.assertTrue(0 in out_pa['''attention_mask'''][1]       )


							def 				__lowercase				(			self       )    ->    Any:
												_a	:    Union[str, Any]         =		'''$$$'''
												_a	:    List[Any]         =		GPTaTokenizer.from_pretrained(self.tmpdirname       ,							bos_token=_a       ,							add_bos_token=_a       )

												_a	:    Any         =		'''This is a simple input'''
												_a	:    str         =		['''This is a simple input 1''', '''This is a simple input 2''']

												_a	:    Tuple         =		tokenizer.bos_token_id

												_a	:    Optional[Any]         =		tokenizer(_a       )
												_a	:    str         =		tokenizer(_a       )

												self.assertEqual(out_s.input_ids[0]       ,							_a       )
												self.assertTrue(all(o[0] == bos_token_id for o in out_sa.input_ids       )       )

												_a	:    str         =		tokenizer.decode(out_s.input_ids       )
												_a	:    Optional[Any]         =		tokenizer.batch_decode(out_sa.input_ids       )

												self.assertEqual(decode_s.split()[0]       ,							_a       )
												self.assertTrue(all(d.split()[0] == bos_token for d in decode_sa       )       )


							def 				__lowercase				(			self       )    ->    str:
												pass




							def 				__lowercase				(			self       )    ->    Dict:
												# TODO: change to self.get_tokenizers() when the fast version is implemented
												_a	:    Optional[int]         =		[self.get_tokenizer(do_lower_case=_a       ,							add_bos_token=_a       )]
												for tokenizer in tokenizers:
																	with self.subTest(F"""{tokenizer.__class__.__name__}"""       ):
																						_a	:    Tuple         =		'''Encode this.'''
																						_a	:    Optional[Any]         =		'''This one too please.'''
																						_a	:    List[Any]         =		tokenizer.encode(_a       ,							add_special_tokens=_a       )
																						encoded_sequence += tokenizer.encode(_a       ,							add_special_tokens=_a       )
																						_a	:    List[str]         =		tokenizer.encode_plus(
																						    _a       ,							_a       ,							add_special_tokens=_a       ,							return_special_tokens_mask=_a       ,							)
																						_a	:    int         =		encoded_sequence_dict['''input_ids''']
																						_a	:    int         =		encoded_sequence_dict['''special_tokens_mask''']
																						self.assertEqual(len(_a       )       ,							len(_a       )       )

																						_a	:    List[Any]         =		[
																						    (x if not special_tokens_mask[i] else None) for i, x in enumerate(_a       )
																						]
																						_a	:    str         =		[x for x in filtered_sequence if x is not None]
																						self.assertEqual(_a       ,							_a       )



@require_tokenizers
class 				UpperCAmelCase_		(			unittest.TestCase   ):
							"""simple docstring"""







							def 				__lowercase				(			self       )    ->    List[Any]:
												# More context:
												# https://huggingface.co/wjmcat/opt-350m-paddle/discussions/1
												# https://huggingface.slack.com/archives/C01N44FJDHT/p1653511495183519
												# https://github.com/huggingface/transformers/pull/17088#discussion_r871246439

												_a	:    Any         =		AutoTokenizer.from_pretrained('''facebook/opt-350m'''       ,							from_slow=_a       )
												_a	:    int         =		'''A photo of a cat'''

												_a	:    List[Any]         =		tokenizer.encode(
												    _a       ,							)
												self.assertEqual(_a       ,							[2, 2_5_0, 1_3_4_5, 9, 1_0, 4_7_5_8]       )
												tokenizer.save_pretrained('''test_opt'''       )

												_a	:    Union[str, Any]         =		AutoTokenizer.from_pretrained('''./test_opt'''       )
												_a	:    Any         =		tokenizer.encode(
												    _a       ,							)
												self.assertEqual(_a       ,							[2, 2_5_0, 1_3_4_5, 9, 1_0, 4_7_5_8]       )


							def 				__lowercase				(			self       )    ->    int:
												_a	:    Union[str, Any]         =		AutoTokenizer.from_pretrained('''facebook/opt-350m'''       ,							use_slow=_a       )
												_a	:    Any         =		'''A photo of a cat'''

												_a	:    Optional[int]         =		tokenizer.encode(
												    _a       ,							)
												# Same as above
												self.assertEqual(_a       ,							[2, 2_5_0, 1_3_4_5, 9, 1_0, 4_7_5_8]       )




							@unittest.skip('''This test is failing because of a bug in the fast tokenizer'''       )
							def 				__lowercase				(			self       )    ->    Any:
												_a	:    Union[str, Any]         =		AutoTokenizer.from_pretrained('''facebook/opt-350m'''       ,							from_slow=_a       )

												_a	:    Optional[Any]         =		'''bos'''
												_a	:    Optional[Any]         =		tokenizer.get_vocab()['''bos''']

												_a	:    str         =		'''A photo of a cat'''
												_a	:    int         =		tokenizer.encode(
												    _a       ,							)
												# We changed the bos token
												self.assertEqual(_a       ,							[3_1_9_5_7, 2_5_0, 1_3_4_5, 9, 1_0, 4_7_5_8]       )
												tokenizer.save_pretrained('''./tok'''       )
												_a	:    Dict         =		AutoTokenizer.from_pretrained('''./tok'''       )
												self.assertTrue(tokenizer.is_fast       )
												_a	:    Union[str, Any]         =		tokenizer.encode(
												    _a       ,							)
												self.assertEqual(_a       ,							[3_1_9_5_7, 2_5_0, 1_3_4_5, 9, 1_0, 4_7_5_8]       )



