





import os
from collections import namedtuple

import pytest

from datasets import ClassLabel, Features, Sequence, Value
from datasets.commands.test import TestCommand
from datasets.info import DatasetInfo, DatasetInfosDict


UpperCamelCase__											= namedtuple(
    "_TestCommandArgs",
    [
        "dataset",
        "name",
        "cache_dir",
        "data_dir",
        "all_configs",
        "save_infos",
        "ignore_verifications",
        "force_redownload",
        "clear_cache",
    ],
    defaults=[None, None, None, False, False, False, False, False],
)





def     _UpperCamelCase     (a__   :List[str]   ,			a__   :str       ):






							"""simple docstring"""





							return (abs(source - target       ) / target) < 0.01





@pytest.mark.integration
def     _UpperCamelCase     (a__   :Dict       ):






							"""simple docstring"""





							UpperCamelCase__				     =			_TestCommandArgs(dataset=_lowerCamelCase   ,			all_configs=_lowerCamelCase   ,			save_infos=_lowerCamelCase       )
							UpperCamelCase__				     =			TestCommand(*_lowerCamelCase       )
							test_command.run()
							UpperCamelCase__				     =			os.path.join(_lowerCamelCase   ,			"""README.md"""       )
							assert os.path.exists(_lowerCamelCase       )
							UpperCamelCase__				     =			DatasetInfosDict.from_directory(_lowerCamelCase       )
							UpperCamelCase__				     =			DatasetInfosDict(
							    {
							        """default""": DatasetInfo(
							            features=Features(
							                {
							                    """tokens""": Sequence(Value("""string"""       )       ),
							                    """ner_tags""": Sequence(
							                        ClassLabel(names=["""O""", """B-PER""", """I-PER""", """B-ORG""", """I-ORG""", """B-LOC""", """I-LOC"""]       )       ),
							                    """langs""": Sequence(Value("""string"""       )       ),
							                    """spans""": Sequence(Value("""string"""       )       ),
							                }       )   ,			splits=[
							                {
							                    """name""": """train""",
							                    """num_bytes""": 235_1563,
							                    """num_examples""": 1_0000,
							                },
							                {
							                    """name""": """validation""",
							                    """num_bytes""": 23_8418,
							                    """num_examples""": 1000,
							                },
							            ]   ,			download_size=394_0680   ,			dataset_size=258_9981   ,			)
							    }       )
							assert dataset_infos.keys() == expected_dataset_infos.keys()
							for key in DatasetInfo._INCLUDED_INFO_IN_YAML:
														UpperCamelCase__				     =			getattr(dataset_infos["""default"""]   ,			_lowerCamelCase       ), getattr(expected_dataset_infos["""default"""]   ,			_lowerCamelCase       )
														if key == "num_bytes":
																					assert is_apercent_close(_lowerCamelCase   ,			_lowerCamelCase       )
														elif key == "splits":
																					assert list(_lowerCamelCase       ) == list(_lowerCamelCase       )
																					for split in result:
																												assert result[split].name == expected[split].name
																												assert result[split].num_examples == expected[split].num_examples
																												assert is_apercent_close(result[split].num_bytes   ,			expected[split].num_bytes       )
														else:
																					result == expected











import math





def     _UpperCamelCase     (a__   :int       ):






							"""simple docstring"""





							UpperCamelCase__				     =			[True] * n
							UpperCamelCase__				     =			False
							UpperCamelCase__				     =			False
							UpperCamelCase__				     =			True

							for i in range(3   ,			int(n**0.5 + 1       )   ,			2       ):
														UpperCamelCase__				     =			i * 2
														while index < n:
																					UpperCamelCase__				     =			False
																					UpperCamelCase__				     =			index + i

							UpperCamelCase__				     =			[2]

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

							return primes





def     _UpperCamelCase     (a__   :int = 9999_6666_3333       ):






							"""simple docstring"""





							UpperCamelCase__				     =			math.floor(math.sqrt(a__       )       ) + 100
							UpperCamelCase__				     =			prime_sieve(a__       )

							UpperCamelCase__				     =			0
							UpperCamelCase__				     =			0
							UpperCamelCase__				     =			primes[prime_index]

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

														UpperCamelCase__				     =			last_prime**2
														UpperCamelCase__				     =			next_prime**2

														# Get numbers divisible by lps(current)
														UpperCamelCase__				     =			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)
														UpperCamelCase__				     =			upper_bound - next_prime
														while current > lower_bound:
																					matches_sum += current
																					current -= next_prime

														# Remove the numbers divisible by both ups and lps
														UpperCamelCase__				     =			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
														UpperCamelCase__				     =			next_prime
														prime_index += 1

							return matches_sum


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




