


'''simple docstring'''






import os
import tempfile
from functools import partial
from unittest import TestCase
from unittest.mock import patch

import numpy as np
import pytest

from datasets.arrow_dataset import Dataset
from datasets.search import ElasticSearchIndex, FaissIndex, MissingIndex

from .utils import require_elasticsearch, require_faiss


__A	:	Union[str, Any]     =     pytest.mark.integration
@require_faiss
class 						__UpperCamelCase	(						lowercase__							):





							def 		a__   (  self		:Dict			):
									snake_case_		:							List[str]			       =						Dataset.from_dict({"""filename""": ["""my_name-train""" + """_""" + str(_UpperCamelCase			) for x in np.arange(3_0			).tolist()]}			)
									return dset





							def 		a__   (  self		:Dict			):
									import faiss

									snake_case_		:							Dataset			       =						self._create_dummy_dataset()
									snake_case_		:							int			       =						dset.map(
									    lambda _UpperCamelCase  ,_UpperCamelCase			: {"vecs": i * np.ones(5  ,dtype=np.floataa			)}  ,with_indices=_UpperCamelCase  ,keep_in_memory=_UpperCamelCase			)
									snake_case_		:							Any			       =						dset.add_faiss_index("""vecs"""  ,batch_size=1_0_0  ,metric_type=faiss.METRIC_INNER_PRODUCT			)
									snake_case_       ,      snake_case_		:							Dict			       =						dset.get_nearest_examples("""vecs"""  ,np.ones(5  ,dtype=np.floataa			)			)
									self.assertEqual(examples["""filename"""][0]  ,"""my_name-train_29"""			)
									dset.drop_index("""vecs"""			)





							def 		a__   (  self		:Optional[int]			):
									import faiss

									snake_case_		:							Dataset			       =						self._create_dummy_dataset()
									dset.add_faiss_index_from_external_arrays(
									    external_arrays=np.ones((3_0, 5)			) * np.arange(3_0			).reshape(-1  ,1			)  ,index_name="""vecs"""  ,batch_size=1_0_0  ,metric_type=faiss.METRIC_INNER_PRODUCT  ,)
									snake_case_       ,      snake_case_		:							Union[str, Any]			       =						dset.get_nearest_examples("""vecs"""  ,np.ones(5  ,dtype=np.floataa			)			)
									self.assertEqual(examples["""filename"""][0]  ,"""my_name-train_29"""			)





							def 		a__   (  self		:Dict			):
									import faiss

									snake_case_		:							Dataset			       =						self._create_dummy_dataset()
									dset.add_faiss_index_from_external_arrays(
									    external_arrays=np.ones((3_0, 5)			) * np.arange(3_0			).reshape(-1  ,1			)  ,index_name="""vecs"""  ,metric_type=faiss.METRIC_INNER_PRODUCT  ,)

									# Setting delete=False and unlinking manually is not pretty... but it is required on Windows to
									# ensure somewhat stable behaviour. If we don't, we get PermissionErrors. This is an age-old issue.
									# see https://bugs.python.org/issue14243 and
									# https://stackoverflow.com/questions/23212435/permission-denied-to-write-to-my-temporary-file/23212515
									with tempfile.NamedTemporaryFile(delete=_UpperCamelCase			) as tmp_file:
											dset.save_faiss_index("""vecs"""  ,tmp_file.name			)
											dset.load_faiss_index("""vecs2"""  ,tmp_file.name			)
									os.unlink(tmp_file.name			)

									snake_case_       ,      snake_case_		:							List[Any]			       =						dset.get_nearest_examples("""vecs2"""  ,np.ones(5  ,dtype=np.floataa			)			)
									self.assertEqual(examples["""filename"""][0]  ,"""my_name-train_29"""			)





							def 		a__   (  self		:Dict			):
									snake_case_		:							Dataset			       =						self._create_dummy_dataset()
									dset.add_faiss_index_from_external_arrays(
									    external_arrays=np.ones((3_0, 5)			) * np.arange(3_0			).reshape(-1  ,1			)  ,index_name="""vecs"""			)
									dset.drop_index("""vecs"""			)
									self.assertRaises(_UpperCamelCase  ,partial(dset.get_nearest_examples  ,"""vecs2"""  ,np.ones(5  ,dtype=np.floataa			)			)			)





							def 		a__   (  self		:Optional[Any]			):
									from elasticsearch import Elasticsearch

									snake_case_		:							Dataset			       =						self._create_dummy_dataset()
									with patch("""elasticsearch.Elasticsearch.search"""			) as mocked_search, patch(
									    """elasticsearch.client.IndicesClient.create"""			) as mocked_index_create, patch("""elasticsearch.helpers.streaming_bulk"""			) as mocked_bulk:
											snake_case_		:							List[str]			       =						{"""acknowledged""": True}
											mocked_bulk.return_value([(True, None)] * 3_0			)
											snake_case_		:							Optional[int]			       =						{"""hits""": {"""hits""": [{"""_score""": 1, """_id""": 2_9}]}}
											snake_case_		:							Union[str, Any]			       =						Elasticsearch()

											dset.add_elasticsearch_index("""filename"""  ,es_client=_UpperCamelCase			)
											snake_case_       ,      snake_case_		:							int			       =						dset.get_nearest_examples("""filename"""  ,"""my_name-train_29"""			)
											self.assertEqual(examples["""filename"""][0]  ,"""my_name-train_29"""			)





@require_faiss
class 						__UpperCamelCase	(						lowercase__							):





							def 		a__   (  self		:Union[str, Any]			):
									import faiss

									snake_case_		:							Dict			       =						FaissIndex(metric_type=faiss.METRIC_INNER_PRODUCT			)

									# add vectors
									index.add_vectors(np.eye(5  ,dtype=np.floataa			)			)
									self.assertIsNotNone(index.faiss_index			)
									self.assertEqual(index.faiss_index.ntotal  ,5			)
									index.add_vectors(np.zeros((5, 5)  ,dtype=np.floataa			)			)
									self.assertEqual(index.faiss_index.ntotal  ,1_0			)

									# single query
									snake_case_		:							Union[str, Any]			       =						np.zeros(5  ,dtype=np.floataa			)
									snake_case_		:							Union[str, Any]			       =						1
									snake_case_       ,      snake_case_		:							List[Any]			       =						index.search(_UpperCamelCase			)
									self.assertRaises(_UpperCamelCase  ,index.search  ,query.reshape(-1  ,1			)			)
									self.assertGreater(scores[0]  ,0			)
									self.assertEqual(indices[0]  ,1			)

									# batched queries
									snake_case_		:							str			       =						np.eye(5  ,dtype=np.floataa			)[::-1]
									snake_case_       ,      snake_case_		:							Any			       =						index.search_batch(_UpperCamelCase			)
									self.assertRaises(_UpperCamelCase  ,index.search_batch  ,queries[0]			)
									snake_case_		:							List[str]			       =						[scores[0] for scores in total_scores]
									snake_case_		:							int			       =						[indices[0] for indices in total_indices]
									self.assertGreater(np.min(_UpperCamelCase			)  ,0			)
									self.assertListEqual([4, 3, 2, 1, 0]  ,_UpperCamelCase			)





							def 		a__   (  self		:Optional[Any]			):
									import faiss

									snake_case_		:							List[Any]			       =						FaissIndex(string_factory="""Flat"""			)
									index.add_vectors(np.eye(5  ,dtype=np.floataa			)			)
									self.assertIsInstance(index.faiss_index  ,faiss.IndexFlat			)
									snake_case_		:							Optional[Any]			       =						FaissIndex(string_factory="""LSH"""			)
									index.add_vectors(np.eye(5  ,dtype=np.floataa			)			)
									self.assertIsInstance(index.faiss_index  ,faiss.IndexLSH			)
									with self.assertRaises(_UpperCamelCase			):
											snake_case_		:							int			       =						FaissIndex(string_factory="""Flat"""  ,custom_index=faiss.IndexFlat(5			)			)





							def 		a__   (  self		:str			):
									import faiss

									snake_case_		:							Dict			       =						faiss.IndexFlat(5			)
									snake_case_		:							Dict			       =						FaissIndex(custom_index=_UpperCamelCase			)
									index.add_vectors(np.eye(5  ,dtype=np.floataa			)			)
									self.assertIsInstance(index.faiss_index  ,faiss.IndexFlat			)





							def 		a__   (  self		:Dict			):
									import faiss

									snake_case_		:							Tuple			       =						FaissIndex(metric_type=faiss.METRIC_INNER_PRODUCT			)
									index.add_vectors(np.eye(5  ,dtype=np.floataa			)			)

									# Setting delete=False and unlinking manually is not pretty... but it is required on Windows to
									# ensure somewhat stable behaviour. If we don't, we get PermissionErrors. This is an age-old issue.
									# see https://bugs.python.org/issue14243 and
									# https://stackoverflow.com/questions/23212435/permission-denied-to-write-to-my-temporary-file/23212515
									with tempfile.NamedTemporaryFile(delete=_UpperCamelCase			) as tmp_file:
											index.save(tmp_file.name			)
											snake_case_		:							Union[str, Any]			       =						FaissIndex.load(tmp_file.name			)
									os.unlink(tmp_file.name			)

									snake_case_		:							Dict			       =						np.zeros(5  ,dtype=np.floataa			)
									snake_case_		:							str			       =						1
									snake_case_       ,      snake_case_		:							List[Any]			       =						index.search(_UpperCamelCase			)
									self.assertGreater(scores[0]  ,0			)
									self.assertEqual(indices[0]  ,1			)





@require_faiss
def      UpperCAmelCase      (		lowerCamelCase_  :int ):







		'''simple docstring'''
		import faiss

		snake_case_		:							Dict			       =						FaissIndex(metric_type=faiss.METRIC_INNER_PRODUCT )
		index.add_vectors(np.eye(5				,      dtype=np.floataa ) )

		snake_case_		:							Optional[int]			       =						"""index.faiss"""
		snake_case_		:							Optional[Any]			       =						F'''mock://{index_name}'''
		index.save(lowerCamelCase_				,      storage_options=mockfs.storage_options )
		snake_case_		:							str			       =						FaissIndex.load(lowerCamelCase_				,      storage_options=mockfs.storage_options )

		snake_case_		:							Any			       =						np.zeros(5				,      dtype=np.floataa )
		snake_case_		:							str			       =						1
		snake_case_       ,      snake_case_		:							Tuple			       =						index.search(lowerCamelCase_ )
		assert scores[0] > 0
		assert indices[0] == 1






@require_elasticsearch
class 						__UpperCamelCase	(						lowercase__							):





							def 		a__   (  self		:Dict			):
									from elasticsearch import Elasticsearch

									with patch("""elasticsearch.Elasticsearch.search"""			) as mocked_search, patch(
									    """elasticsearch.client.IndicesClient.create"""			) as mocked_index_create, patch("""elasticsearch.helpers.streaming_bulk"""			) as mocked_bulk:
											snake_case_		:							Any			       =						Elasticsearch()
											snake_case_		:							Optional[Any]			       =						{"""acknowledged""": True}
											snake_case_		:							Union[str, Any]			       =						ElasticSearchIndex(es_client=_UpperCamelCase			)
											mocked_bulk.return_value([(True, None)] * 3			)
											index.add_documents(["""foo""", """bar""", """foobar"""]			)

											# single query
											snake_case_		:							Union[str, Any]			       =						"""foo"""
											snake_case_		:							Any			       =						{"""hits""": {"""hits""": [{"""_score""": 1, """_id""": 0}]}}
											snake_case_       ,      snake_case_		:							List[str]			       =						index.search(_UpperCamelCase			)
											self.assertEqual(scores[0]  ,1			)
											self.assertEqual(indices[0]  ,0			)

											# single query with timeout
											snake_case_		:							str			       =						"""foo"""
											snake_case_		:							List[Any]			       =						{"""hits""": {"""hits""": [{"""_score""": 1, """_id""": 0}]}}
											snake_case_       ,      snake_case_		:							int			       =						index.search(_UpperCamelCase  ,request_timeout=3_0			)
											self.assertEqual(scores[0]  ,1			)
											self.assertEqual(indices[0]  ,0			)

											# batched queries
											snake_case_		:							Any			       =						["""foo""", """bar""", """foobar"""]
											snake_case_		:							int			       =						{"""hits""": {"""hits""": [{"""_score""": 1, """_id""": 1}]}}
											snake_case_       ,      snake_case_		:							Optional[Any]			       =						index.search_batch(_UpperCamelCase			)
											snake_case_		:							List[str]			       =						[scores[0] for scores in total_scores]
											snake_case_		:							Tuple			       =						[indices[0] for indices in total_indices]
											self.assertGreater(np.min(_UpperCamelCase			)  ,0			)
											self.assertListEqual([1, 1, 1]  ,_UpperCamelCase			)

											# batched queries with timeout
											snake_case_		:							List[Any]			       =						["""foo""", """bar""", """foobar"""]
											snake_case_		:							Tuple			       =						{"""hits""": {"""hits""": [{"""_score""": 1, """_id""": 1}]}}
											snake_case_       ,      snake_case_		:							str			       =						index.search_batch(_UpperCamelCase  ,request_timeout=3_0			)
											snake_case_		:							int			       =						[scores[0] for scores in total_scores]
											snake_case_		:							Union[str, Any]			       =						[indices[0] for indices in total_indices]
											self.assertGreater(np.min(_UpperCamelCase			)  ,0			)
											self.assertListEqual([1, 1, 1]  ,_UpperCamelCase			)



'''simple docstring'''






import math





def      UpperCAmelCase      (		lowerCamelCase_  :list				,      lowerCamelCase_  :int ):







		'''simple docstring'''
		snake_case_		:							Union[str, Any]			       =						len(lowerCamelCase_ )
		snake_case_		:							List[Any]			       =						int(math.floor(math.sqrt(lowerCamelCase_ ) ) )
		snake_case_		:							str			       =						0
		while arr[min(lowerCamelCase_				,      lowerCamelCase_ ) - 1] < x:
				snake_case_		:							Any			       =						step
				step += int(math.floor(math.sqrt(lowerCamelCase_ ) ) )
				if prev >= n:
						return -1

		while arr[prev] < x:
				snake_case_		:							Optional[Any]			       =						prev + 1
				if prev == min(lowerCamelCase_				,      lowerCamelCase_ ):
						return -1
		if arr[prev] == x:
				return prev
		return -1


if __name__ == "__main__":
							__A	:	Any     =     input('Enter numbers separated by a comma:\n').strip()
							__A	:	Union[str, Any]     =     [int(item) for item in user_input.split(',')]
							__A	:	Optional[int]     =     int(input('Enter the number to be searched:\n'))
							__A	:	int     =     jump_search(arr, x)
							if res == -1:
														print('Number not found!')
							else:
														print(F'Number {x} is at index {res}')