






'''simple docstring'''







__lowerCAmelCase       		=      {str(digit): digit**5 for digit in range(10)}





def 		_UpperCAmelCase   (							__A							:   int      ):
				return sum(DIGITS_FIFTH_POWER[digit] for digit in str(__A      )      )





def 		_UpperCAmelCase   (							):
				return sum(
				    number
				    for number in range(10_00						,		1_00_00_00      )
				    if number == digits_fifth_powers_sum(__A      )      )


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












'''simple docstring'''







import json
import os
import pickle
import shutil
import tempfile
from unittest import TestCase
from unittest.mock import patch

import numpy as np
from datasets import Dataset

from transformers import is_faiss_available
from transformers.models.bart.configuration_bart import BartConfig
from transformers.models.bart.tokenization_bart import BartTokenizer
from transformers.models.bert.tokenization_bert import VOCAB_FILES_NAMES as DPR_VOCAB_FILES_NAMES
from transformers.models.dpr.configuration_dpr import DPRConfig
from transformers.models.dpr.tokenization_dpr import DPRContextEncoderTokenizer, DPRQuestionEncoderTokenizer
from transformers.models.rag.configuration_rag import RagConfig
from transformers.models.rag.retrieval_rag import CustomHFIndex, RagRetriever
from transformers.models.roberta.tokenization_roberta import VOCAB_FILES_NAMES as BART_VOCAB_FILES_NAMES
from transformers.testing_utils import require_faiss, require_sentencepiece, require_tokenizers, require_torch


if is_faiss_available():
		import faiss





@require_faiss
class 	SCREAMING_SNAKE_CASE					(					SCREAMING_SNAKE_CASE_       ):






			def 			SCREAMING_SNAKE_CASE      ( self      :			Dict					)			->			Dict:
							a_		:  Union[str, Any]											=      tempfile.mkdtemp()
							a_		:  Union[str, Any]											=      8

							# DPR tok
							a_		:  Dict											=      [
							    '''[UNK]''',
							    '''[CLS]''',
							    '''[SEP]''',
							    '''[PAD]''',
							    '''[MASK]''',
							    '''want''',
							    '''##want''',
							    '''##ed''',
							    '''wa''',
							    '''un''',
							    '''runn''',
							    '''##ing''',
							    ''',''',
							    '''low''',
							    '''lowest''',
							]
							a_		:  str											=      os.path.join(self.tmpdirname  ,						'''dpr_tokenizer'''					)
							os.makedirs(__SCREAMING_SNAKE_CASE  ,						exist_ok=__SCREAMING_SNAKE_CASE					)
							a_		:  Optional[int]											=      os.path.join(__SCREAMING_SNAKE_CASE  ,						DPR_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]					)					)

							# BART tok
							a_		:  Union[str, Any]											=      [
							    '''l''',
							    '''o''',
							    '''w''',
							    '''e''',
							    '''r''',
							    '''s''',
							    '''t''',
							    '''i''',
							    '''d''',
							    '''n''',
							    '''\u0120''',
							    '''\u0120l''',
							    '''\u0120n''',
							    '''\u0120lo''',
							    '''\u0120low''',
							    '''er''',
							    '''\u0120lowest''',
							    '''\u0120newer''',
							    '''\u0120wider''',
							    '''<unk>''',
							]
							a_		:  int											=      dict(zip(__SCREAMING_SNAKE_CASE  ,						range(len(__SCREAMING_SNAKE_CASE					)					)					)					)
							a_		:  int											=      ['''#version: 0.2''', '''\u0120 l''', '''\u0120l o''', '''\u0120lo w''', '''e r''', '''''']
							a_		:  Optional[int]											=      {'''unk_token''': '''<unk>'''}

							a_		:  List[str]											=      os.path.join(self.tmpdirname  ,						'''bart_tokenizer'''					)
							os.makedirs(__SCREAMING_SNAKE_CASE  ,						exist_ok=__SCREAMING_SNAKE_CASE					)
							a_		:  Tuple											=      os.path.join(__SCREAMING_SNAKE_CASE  ,						BART_VOCAB_FILES_NAMES['''vocab_file''']					)
							a_		:  int											=      os.path.join(__SCREAMING_SNAKE_CASE  ,						BART_VOCAB_FILES_NAMES['''merges_file''']					)
							with open(self.vocab_file  ,						'''w'''  ,						encoding='''utf-8'''					) as fp:
											fp.write(json.dumps(__SCREAMING_SNAKE_CASE					) + '''\n'''					)
							with open(self.merges_file  ,						'''w'''  ,						encoding='''utf-8'''					) as fp:
											fp.write('''\n'''.join(__SCREAMING_SNAKE_CASE					)					)






			def 			SCREAMING_SNAKE_CASE      ( self      :			Tuple					)			->			DPRQuestionEncoderTokenizer:
							return DPRQuestionEncoderTokenizer.from_pretrained(os.path.join(self.tmpdirname  ,						'''dpr_tokenizer'''					)					)






			def 			SCREAMING_SNAKE_CASE      ( self      :			str					)			->			DPRContextEncoderTokenizer:
							return DPRContextEncoderTokenizer.from_pretrained(os.path.join(self.tmpdirname  ,						'''dpr_tokenizer'''					)					)






			def 			SCREAMING_SNAKE_CASE      ( self      :			Optional[int]					)			->			BartTokenizer:
							return BartTokenizer.from_pretrained(os.path.join(self.tmpdirname  ,						'''bart_tokenizer'''					)					)






			def 			SCREAMING_SNAKE_CASE      ( self      :			List[Any]					)			->			Union[str, Any]:
							shutil.rmtree(self.tmpdirname					)






			def 			SCREAMING_SNAKE_CASE      ( self      :			Dict					)			->			Union[str, Any]:
							a_		:  str											=      Dataset.from_dict(
							    {
							        '''id''': ['''0''', '''1'''],
							        '''text''': ['''foo''', '''bar'''],
							        '''title''': ['''Foo''', '''Bar'''],
							        '''embeddings''': [np.ones(self.retrieval_vector_size					), 2 * np.ones(self.retrieval_vector_size					)],
							    }					)
							dataset.add_faiss_index('''embeddings'''  ,						string_factory='''Flat'''  ,						metric_type=faiss.METRIC_INNER_PRODUCT					)
							return dataset






			def 			SCREAMING_SNAKE_CASE      ( self      :			List[str]					)			->			Tuple:
							a_		:  List[str]											=      self.get_dummy_dataset()
							a_		:  Tuple											=      RagConfig(
							    retrieval_vector_size=self.retrieval_vector_size  ,						question_encoder=DPRConfig().to_dict()  ,						generator=BartConfig().to_dict()  ,						)
							with patch('''transformers.models.rag.retrieval_rag.load_dataset'''					) as mock_load_dataset:
											a_		:  Tuple											=      dataset
											a_		:  Any											=      RagRetriever(
											    __SCREAMING_SNAKE_CASE  ,						question_encoder_tokenizer=self.get_dpr_tokenizer()  ,						generator_tokenizer=self.get_bart_tokenizer()  ,						)
							return retriever






			def 			SCREAMING_SNAKE_CASE      ( self      :			Dict  ,						__SCREAMING_SNAKE_CASE      :			bool					)			->			Dict:
							a_		:  Dict											=      self.get_dummy_dataset()
							a_		:  Dict											=      RagConfig(
							    retrieval_vector_size=self.retrieval_vector_size  ,						question_encoder=DPRConfig().to_dict()  ,						generator=BartConfig().to_dict()  ,						index_name='''custom'''  ,						)
							if from_disk:
											a_		:  Optional[int]											=      os.path.join(self.tmpdirname  ,						'''dataset'''					)
											a_		:  str											=      os.path.join(self.tmpdirname  ,						'''index.faiss'''					)
											dataset.get_index('''embeddings'''					).save(os.path.join(self.tmpdirname  ,						'''index.faiss'''					)					)
											dataset.drop_index('''embeddings'''					)
											dataset.save_to_disk(os.path.join(self.tmpdirname  ,						'''dataset'''					)					)
											del dataset
											a_		:  int											=      RagRetriever(
											    __SCREAMING_SNAKE_CASE  ,						question_encoder_tokenizer=self.get_dpr_tokenizer()  ,						generator_tokenizer=self.get_bart_tokenizer()  ,						)
							else:
											a_		:  Optional[Any]											=      RagRetriever(
											    __SCREAMING_SNAKE_CASE  ,						question_encoder_tokenizer=self.get_dpr_tokenizer()  ,						generator_tokenizer=self.get_bart_tokenizer()  ,						index=CustomHFIndex(config.retrieval_vector_size  ,						__SCREAMING_SNAKE_CASE					)  ,						)
							return retriever






			def 			SCREAMING_SNAKE_CASE      ( self      :			Optional[Any]					)			->			Optional[int]:
							a_		:  str											=      Dataset.from_dict(
							    {
							        '''id''': ['''0''', '''1'''],
							        '''text''': ['''foo''', '''bar'''],
							        '''title''': ['''Foo''', '''Bar'''],
							        '''embeddings''': [np.ones(self.retrieval_vector_size + 1					), 2 * np.ones(self.retrieval_vector_size + 1					)],
							    }					)
							dataset.add_faiss_index('''embeddings'''  ,						string_factory='''Flat'''  ,						metric_type=faiss.METRIC_INNER_PRODUCT					)

							a_		:  Optional[int]											=      os.path.join(self.tmpdirname  ,						'''hf_bert_base.hnswSQ8_correct_phi_128.c_index'''					)
							dataset.save_faiss_index('''embeddings'''  ,						index_file_name + '''.index.dpr'''					)
							pickle.dump(dataset['''id''']  ,						open(index_file_name + '''.index_meta.dpr'''  ,						'''wb'''					)					)

							a_		:  Union[str, Any]											=      os.path.join(self.tmpdirname  ,						'''psgs_w100.tsv.pkl'''					)
							a_		:  Dict											=      {sample['''id''']: [sample['''text'''], sample['''title''']] for sample in dataset}
							pickle.dump(__SCREAMING_SNAKE_CASE  ,						open(__SCREAMING_SNAKE_CASE  ,						'''wb'''					)					)

							a_		:  Optional[Any]											=      RagConfig(
							    retrieval_vector_size=self.retrieval_vector_size  ,						question_encoder=DPRConfig().to_dict()  ,						generator=BartConfig().to_dict()  ,						index_name='''legacy'''  ,						index_path=self.tmpdirname  ,						)
							a_		:  int											=      RagRetriever(
							    __SCREAMING_SNAKE_CASE  ,						question_encoder_tokenizer=self.get_dpr_tokenizer()  ,						generator_tokenizer=self.get_bart_tokenizer()					)
							return retriever






			def 			SCREAMING_SNAKE_CASE      ( self      :			Tuple					)			->			Dict:
							a_		:  Optional[Any]											=      1
							a_		:  Dict											=      self.get_dummy_canonical_hf_index_retriever()
							a_		:  Tuple											=      np.array(
							    [np.ones(self.retrieval_vector_size					), -np.ones(self.retrieval_vector_size					)]  ,						dtype=np.floataa					)
							a_				,			a_				,			a_		:  str											=      retriever.retrieve(__SCREAMING_SNAKE_CASE  ,						n_docs=__SCREAMING_SNAKE_CASE					)
							self.assertEqual(retrieved_doc_embeds.shape  ,						(2, n_docs, self.retrieval_vector_size)					)
							self.assertEqual(len(__SCREAMING_SNAKE_CASE					)  ,						2					)
							self.assertEqual(sorted(doc_dicts[0]					)  ,						['''embeddings''', '''id''', '''text''', '''title''']					)
							self.assertEqual(len(doc_dicts[0]['''id''']					)  ,						__SCREAMING_SNAKE_CASE					)
							self.assertEqual(doc_dicts[0]['''id'''][0]  ,						'''1'''					)  # max inner product is reached with second doc
							self.assertEqual(doc_dicts[1]['''id'''][0]  ,						'''0'''					)  # max inner product is reached with first doc
							self.assertListEqual(doc_ids.tolist()  ,						[[1], [0]]					)






			def 			SCREAMING_SNAKE_CASE      ( self      :			Tuple					)			->			Dict:
							a_		:  str											=      self.get_dummy_canonical_hf_index_retriever()
							with tempfile.TemporaryDirectory() as tmp_dirname:
											with patch('''transformers.models.rag.retrieval_rag.load_dataset'''					) as mock_load_dataset:
															a_		:  List[str]											=      self.get_dummy_dataset()
															retriever.save_pretrained(__SCREAMING_SNAKE_CASE					)
															a_		:  Optional[Any]											=      RagRetriever.from_pretrained(__SCREAMING_SNAKE_CASE					)
															self.assertIsInstance(__SCREAMING_SNAKE_CASE  ,						__SCREAMING_SNAKE_CASE					)
															a_		:  Union[str, Any]											=      np.array(
															    [np.ones(self.retrieval_vector_size					), -np.ones(self.retrieval_vector_size					)]  ,						dtype=np.floataa					)
															a_		:  List[str]											=      retriever.retrieve(__SCREAMING_SNAKE_CASE  ,						n_docs=1					)
															self.assertTrue(out is not None					)






			def 			SCREAMING_SNAKE_CASE      ( self      :			Dict					)			->			int:
							a_		:  Union[str, Any]											=      1
							a_		:  Optional[Any]											=      self.get_dummy_custom_hf_index_retriever(from_disk=__SCREAMING_SNAKE_CASE					)
							a_		:  List[Any]											=      np.array(
							    [np.ones(self.retrieval_vector_size					), -np.ones(self.retrieval_vector_size					)]  ,						dtype=np.floataa					)
							a_				,			a_				,			a_		:  Any											=      retriever.retrieve(__SCREAMING_SNAKE_CASE  ,						n_docs=__SCREAMING_SNAKE_CASE					)
							self.assertEqual(retrieved_doc_embeds.shape  ,						(2, n_docs, self.retrieval_vector_size)					)
							self.assertEqual(len(__SCREAMING_SNAKE_CASE					)  ,						2					)
							self.assertEqual(sorted(doc_dicts[0]					)  ,						['''embeddings''', '''id''', '''text''', '''title''']					)
							self.assertEqual(len(doc_dicts[0]['''id''']					)  ,						__SCREAMING_SNAKE_CASE					)
							self.assertEqual(doc_dicts[0]['''id'''][0]  ,						'''1'''					)  # max inner product is reached with second doc
							self.assertEqual(doc_dicts[1]['''id'''][0]  ,						'''0'''					)  # max inner product is reached with first doc
							self.assertListEqual(doc_ids.tolist()  ,						[[1], [0]]					)






			def 			SCREAMING_SNAKE_CASE      ( self      :			str					)			->			List[str]:
							a_		:  Dict											=      self.get_dummy_custom_hf_index_retriever(from_disk=__SCREAMING_SNAKE_CASE					)
							with tempfile.TemporaryDirectory() as tmp_dirname:
											retriever.save_pretrained(__SCREAMING_SNAKE_CASE					)
											a_		:  List[str]											=      RagRetriever.from_pretrained(__SCREAMING_SNAKE_CASE					)
											self.assertIsInstance(__SCREAMING_SNAKE_CASE  ,						__SCREAMING_SNAKE_CASE					)
											a_		:  Tuple											=      np.array(
											    [np.ones(self.retrieval_vector_size					), -np.ones(self.retrieval_vector_size					)]  ,						dtype=np.floataa					)
											a_		:  Dict											=      retriever.retrieve(__SCREAMING_SNAKE_CASE  ,						n_docs=1					)
											self.assertTrue(out is not None					)






			def 			SCREAMING_SNAKE_CASE      ( self      :			Tuple					)			->			Optional[int]:
							a_		:  Union[str, Any]											=      1
							a_		:  str											=      self.get_dummy_custom_hf_index_retriever(from_disk=__SCREAMING_SNAKE_CASE					)
							a_		:  Optional[int]											=      np.array(
							    [np.ones(self.retrieval_vector_size					), -np.ones(self.retrieval_vector_size					)]  ,						dtype=np.floataa					)
							a_				,			a_				,			a_		:  Tuple											=      retriever.retrieve(__SCREAMING_SNAKE_CASE  ,						n_docs=__SCREAMING_SNAKE_CASE					)
							self.assertEqual(retrieved_doc_embeds.shape  ,						(2, n_docs, self.retrieval_vector_size)					)
							self.assertEqual(len(__SCREAMING_SNAKE_CASE					)  ,						2					)
							self.assertEqual(sorted(doc_dicts[0]					)  ,						['''embeddings''', '''id''', '''text''', '''title''']					)
							self.assertEqual(len(doc_dicts[0]['''id''']					)  ,						__SCREAMING_SNAKE_CASE					)
							self.assertEqual(doc_dicts[0]['''id'''][0]  ,						'''1'''					)  # max inner product is reached with second doc
							self.assertEqual(doc_dicts[1]['''id'''][0]  ,						'''0'''					)  # max inner product is reached with first doc
							self.assertListEqual(doc_ids.tolist()  ,						[[1], [0]]					)






			def 			SCREAMING_SNAKE_CASE      ( self      :			int					)			->			Dict:
							a_		:  List[str]											=      self.get_dummy_custom_hf_index_retriever(from_disk=__SCREAMING_SNAKE_CASE					)
							with tempfile.TemporaryDirectory() as tmp_dirname:
											retriever.save_pretrained(__SCREAMING_SNAKE_CASE					)
											a_		:  Any											=      RagRetriever.from_pretrained(__SCREAMING_SNAKE_CASE					)
											self.assertIsInstance(__SCREAMING_SNAKE_CASE  ,						__SCREAMING_SNAKE_CASE					)
											a_		:  Tuple											=      np.array(
											    [np.ones(self.retrieval_vector_size					), -np.ones(self.retrieval_vector_size					)]  ,						dtype=np.floataa					)
											a_		:  Dict											=      retriever.retrieve(__SCREAMING_SNAKE_CASE  ,						n_docs=1					)
											self.assertTrue(out is not None					)






			def 			SCREAMING_SNAKE_CASE      ( self      :			Optional[int]					)			->			Any:
							a_		:  str											=      1
							a_		:  Tuple											=      self.get_dummy_legacy_index_retriever()
							a_		:  Union[str, Any]											=      np.array(
							    [np.ones(self.retrieval_vector_size					), -np.ones(self.retrieval_vector_size					)]  ,						dtype=np.floataa					)
							a_				,			a_				,			a_		:  Any											=      retriever.retrieve(__SCREAMING_SNAKE_CASE  ,						n_docs=__SCREAMING_SNAKE_CASE					)
							self.assertEqual(retrieved_doc_embeds.shape  ,						(2, n_docs, self.retrieval_vector_size)					)
							self.assertEqual(len(__SCREAMING_SNAKE_CASE					)  ,						2					)
							self.assertEqual(sorted(doc_dicts[0]					)  ,						['''text''', '''title''']					)
							self.assertEqual(len(doc_dicts[0]['''text''']					)  ,						__SCREAMING_SNAKE_CASE					)
							self.assertEqual(doc_dicts[0]['''text'''][0]  ,						'''bar'''					)  # max inner product is reached with second doc
							self.assertEqual(doc_dicts[1]['''text'''][0]  ,						'''foo'''					)  # max inner product is reached with first doc
							self.assertListEqual(doc_ids.tolist()  ,						[[1], [0]]					)






			def 			SCREAMING_SNAKE_CASE      ( self      :			int					)			->			Optional[int]:
							a_		:  List[str]											=      self.get_dummy_legacy_index_retriever()
							with tempfile.TemporaryDirectory() as tmp_dirname:
											retriever.save_pretrained(__SCREAMING_SNAKE_CASE					)
											a_		:  Any											=      RagRetriever.from_pretrained(__SCREAMING_SNAKE_CASE					)
											self.assertIsInstance(__SCREAMING_SNAKE_CASE  ,						__SCREAMING_SNAKE_CASE					)
											a_		:  List[str]											=      np.array(
											    [np.ones(self.retrieval_vector_size					), -np.ones(self.retrieval_vector_size					)]  ,						dtype=np.floataa					)
											a_		:  Optional[Any]											=      retriever.retrieve(__SCREAMING_SNAKE_CASE  ,						n_docs=1					)
											self.assertTrue(out is not None					)






			@require_torch
			@require_tokenizers
			@require_sentencepiece
			def 			SCREAMING_SNAKE_CASE      ( self      :			int					)			->			List[str]:
							import torch

							a_		:  Any											=      1
							a_		:  List[Any]											=      self.get_dummy_canonical_hf_index_retriever()
							a_		:  Union[str, Any]											=      [[5, 7], [10, 11]]
							a_		:  Optional[int]											=      np.array(
							    [np.ones(self.retrieval_vector_size					), -np.ones(self.retrieval_vector_size					)]  ,						dtype=np.floataa					)
							a_		:  str											=      retriever(__SCREAMING_SNAKE_CASE  ,						__SCREAMING_SNAKE_CASE  ,						prefix=retriever.config.generator.prefix  ,						n_docs=__SCREAMING_SNAKE_CASE					)
							a_				,			a_				,			a_		:  List[str]											=      (
							    out['''context_input_ids'''],
							    out['''context_attention_mask'''],
							    out['''retrieved_doc_embeds'''],
							)
							self.assertEqual(retrieved_doc_embeds.shape  ,						(2, n_docs, self.retrieval_vector_size)					)
							self.assertIsInstance(__SCREAMING_SNAKE_CASE  ,						__SCREAMING_SNAKE_CASE					)
							self.assertIsInstance(__SCREAMING_SNAKE_CASE  ,						__SCREAMING_SNAKE_CASE					)
							self.assertIsInstance(__SCREAMING_SNAKE_CASE  ,						np.ndarray					)

							a_		:  Any											=      retriever(
							    __SCREAMING_SNAKE_CASE  ,						__SCREAMING_SNAKE_CASE  ,						prefix=retriever.config.generator.prefix  ,						n_docs=__SCREAMING_SNAKE_CASE  ,						return_tensors='''pt'''  ,						)
							a_				,			a_				,			a_				,			a_		:  str											=      (  # noqa: F841
							    out['''context_input_ids'''],
							    out['''context_attention_mask'''],
							    out['''retrieved_doc_embeds'''],
							    out['''doc_ids'''],
							)
							self.assertEqual(retrieved_doc_embeds.shape  ,						(2, n_docs, self.retrieval_vector_size)					)
							self.assertIsInstance(__SCREAMING_SNAKE_CASE  ,						torch.Tensor					)
							self.assertIsInstance(__SCREAMING_SNAKE_CASE  ,						torch.Tensor					)
							self.assertIsInstance(__SCREAMING_SNAKE_CASE  ,						torch.Tensor					)







			@require_torch
			@require_tokenizers
			@require_sentencepiece
			def 			SCREAMING_SNAKE_CASE      ( self      :			Union[str, Any]					)			->			Any:
							a_		:  str											=      self.get_dpr_ctx_encoder_tokenizer()
							a_		:  Tuple											=      1
							a_		:  Any											=      self.get_dummy_custom_hf_index_retriever(from_disk=__SCREAMING_SNAKE_CASE					)
							retriever.set_ctx_encoder_tokenizer(__SCREAMING_SNAKE_CASE					)

							a_		:  Dict											=      [[5, 7], [10, 11]]
							a_		:  List[str]											=      np.array(
							    [np.ones(self.retrieval_vector_size					), -np.ones(self.retrieval_vector_size					)]  ,						dtype=np.floataa					)
							a_		:  List[Any]											=      retriever(__SCREAMING_SNAKE_CASE  ,						__SCREAMING_SNAKE_CASE  ,						prefix=retriever.config.generator.prefix  ,						n_docs=__SCREAMING_SNAKE_CASE					)

							self.assertEqual(
							    len(__SCREAMING_SNAKE_CASE					)  ,						6					)  # check whether the retriever output consist of 6 attributes including tokenized docs
							self.assertEqual(
							    all(k in out for k in ('''tokenized_doc_ids''', '''tokenized_doc_attention_mask''')					)  ,						__SCREAMING_SNAKE_CASE					)  # check for doc token related keys in dictionary.




