





import random

def       A__(		__lowerCAmelCase ):
				_snake_case :			List[str]  						=   num - 1
				_snake_case :			Optional[int]  						=   0

				while s % 2 == 0:
								_snake_case :			List[str]  						=   s // 2
								t += 1

				for _ in range(5 ):
								_snake_case :			Dict  						=   random.randrange(2	,			num - 1 )
								_snake_case :			int  						=   pow(__lowerCAmelCase	,			__lowerCAmelCase	,			__lowerCAmelCase )
								if v != 1:
												_snake_case :			Tuple  						=   0
												while v != (num - 1):
																if i == t - 1:
																				return False
																else:
																				_snake_case :			List[Any]  						=   i + 1
																				_snake_case :			Union[str, Any]  						=   (v**2) % num
				return True

def       A__(		__lowerCAmelCase ):
				if num < 2:
								return False

				_snake_case :			Tuple  						=   [
				    2,
				    3,
				    5,
				    7,
				    11,
				    13,
				    17,
				    19,
				    23,
				    29,
				    31,
				    37,
				    41,
				    43,
				    47,
				    53,
				    59,
				    61,
				    67,
				    71,
				    73,
				    79,
				    83,
				    89,
				    97,
				    1_01,
				    1_03,
				    1_07,
				    1_09,
				    1_13,
				    1_27,
				    1_31,
				    1_37,
				    1_39,
				    1_49,
				    1_51,
				    1_57,
				    1_63,
				    1_67,
				    1_73,
				    1_79,
				    1_81,
				    1_91,
				    1_93,
				    1_97,
				    1_99,
				    2_11,
				    2_23,
				    2_27,
				    2_29,
				    2_33,
				    2_39,
				    2_41,
				    2_51,
				    2_57,
				    2_63,
				    2_69,
				    2_71,
				    2_77,
				    2_81,
				    2_83,
				    2_93,
				    3_07,
				    3_11,
				    3_13,
				    3_17,
				    3_31,
				    3_37,
				    3_47,
				    3_49,
				    3_53,
				    3_59,
				    3_67,
				    3_73,
				    3_79,
				    3_83,
				    3_89,
				    3_97,
				    4_01,
				    4_09,
				    4_19,
				    4_21,
				    4_31,
				    4_33,
				    4_39,
				    4_43,
				    4_49,
				    4_57,
				    4_61,
				    4_63,
				    4_67,
				    4_79,
				    4_87,
				    4_91,
				    4_99,
				    5_03,
				    5_09,
				    5_21,
				    5_23,
				    5_41,
				    5_47,
				    5_57,
				    5_63,
				    5_69,
				    5_71,
				    5_77,
				    5_87,
				    5_93,
				    5_99,
				    6_01,
				    6_07,
				    6_13,
				    6_17,
				    6_19,
				    6_31,
				    6_41,
				    6_43,
				    6_47,
				    6_53,
				    6_59,
				    6_61,
				    6_73,
				    6_77,
				    6_83,
				    6_91,
				    7_01,
				    7_09,
				    7_19,
				    7_27,
				    7_33,
				    7_39,
				    7_43,
				    7_51,
				    7_57,
				    7_61,
				    7_69,
				    7_73,
				    7_87,
				    7_97,
				    8_09,
				    8_11,
				    8_21,
				    8_23,
				    8_27,
				    8_29,
				    8_39,
				    8_53,
				    8_57,
				    8_59,
				    8_63,
				    8_77,
				    8_81,
				    8_83,
				    8_87,
				    9_07,
				    9_11,
				    9_19,
				    9_29,
				    9_37,
				    9_41,
				    9_47,
				    9_53,
				    9_67,
				    9_71,
				    9_77,
				    9_83,
				    9_91,
				    9_97,
				]

				if num in low_primes:
								return True

				for prime in low_primes:
								if (num % prime) == 0:
												return False

				return rabin_miller(__lowerCAmelCase )

def       A__(		__lowerCAmelCase = 10_24 ):
				while True:
								_snake_case :			Optional[int]  						=   random.randrange(2 ** (keysize - 1)	,			2 ** (keysize) )
								if is_prime_low_num(__lowerCAmelCase ):
												return num


if __name__ == "__main__":
		lowercase_		:				List[str]				=						generate_large_prime()
		print(('''Prime number:''', num))
		print(('''is_prime_low_num:''', is_prime_low_num(num)))












import os

import pytest

from datasets import (
    get_dataset_config_info,
    get_dataset_config_names,
    get_dataset_infos,
    get_dataset_split_names,
    inspect_dataset,
    inspect_metric,
)


lowercase_		:				Optional[Any]				=						pytest.mark.integration

@pytest.mark.parametrize('path'	,			['paws', 'csv'] )
def       A__(		__lowerCAmelCase	,			__lowerCAmelCase ):
				inspect_dataset(__lowerCAmelCase	,			__lowerCAmelCase )
				_snake_case :			str  						=   path + '.py'
				assert script_name in os.listdir(__lowerCAmelCase )
				assert "__pycache__" not in os.listdir(__lowerCAmelCase )

@pytest.mark.filterwarnings('ignore:inspect_metric is deprecated:FutureWarning' )
@pytest.mark.filterwarnings('ignore:metric_module_factory is deprecated:FutureWarning' )
@pytest.mark.parametrize('path'	,			['accuracy'] )
def       A__(		__lowerCAmelCase	,			__lowerCAmelCase ):
				inspect_metric(__lowerCAmelCase	,			__lowerCAmelCase )
				_snake_case :			Tuple  						=   path + '.py'
				assert script_name in os.listdir(__lowerCAmelCase )
				assert "__pycache__" not in os.listdir(__lowerCAmelCase )

@pytest.mark.parametrize(
    'path, config_name, expected_splits'	,			[
        ('squad', 'plain_text', ['train', 'validation']),
        ('dalle-mini/wit', 'dalle-mini--wit', ['train']),
        ('paws', 'labeled_final', ['train', 'test', 'validation']),
    ]	,			)
def       A__(		__lowerCAmelCase	,			__lowerCAmelCase	,			__lowerCAmelCase ):
				_snake_case :			Union[str, Any]  						=   get_dataset_config_info(__lowerCAmelCase	,			config_name=__lowerCAmelCase )
				assert info.config_name == config_name
				assert list(info.splits.keys() ) == expected_splits

@pytest.mark.parametrize(
    'path, config_name, expected_exception'	,			[
        ('paws', None, ValueError),
    ]	,			)
def       A__(		__lowerCAmelCase	,			__lowerCAmelCase	,			__lowerCAmelCase ):
				with pytest.raises(__lowerCAmelCase ):
								get_dataset_config_info(__lowerCAmelCase	,			config_name=__lowerCAmelCase )

@pytest.mark.parametrize(
    'path, expected'	,			[
        ('squad', 'plain_text'),
        ('acronym_identification', 'default'),
        ('lhoestq/squad', 'plain_text'),
        ('lhoestq/test', 'default'),
        ('lhoestq/demo1', 'lhoestq--demo1'),
        ('dalle-mini/wit', 'dalle-mini--wit'),
    ]	,			)
def       A__(		__lowerCAmelCase	,			__lowerCAmelCase ):
				_snake_case :			Optional[Any]  						=   get_dataset_config_names(__lowerCAmelCase )
				assert expected in config_names

@pytest.mark.parametrize(
    'path, expected_configs, expected_splits_in_first_config'	,			[
        ('squad', ['plain_text'], ['train', 'validation']),
        ('dalle-mini/wit', ['dalle-mini--wit'], ['train']),
        ('paws', ['labeled_final', 'labeled_swap', 'unlabeled_final'], ['train', 'test', 'validation']),
    ]	,			)
def       A__(		__lowerCAmelCase	,			__lowerCAmelCase	,			__lowerCAmelCase ):
				_snake_case :			List[Any]  						=   get_dataset_infos(__lowerCAmelCase )
				assert list(infos.keys() ) == expected_configs
				_snake_case :			Any  						=   expected_configs[0]
				assert expected_config in infos
				_snake_case :			str  						=   infos[expected_config]
				assert info.config_name == expected_config
				assert list(info.splits.keys() ) == expected_splits_in_first_config

@pytest.mark.parametrize(
    'path, expected_config, expected_splits'	,			[
        ('squad', 'plain_text', ['train', 'validation']),
        ('dalle-mini/wit', 'dalle-mini--wit', ['train']),
        ('paws', 'labeled_final', ['train', 'test', 'validation']),
    ]	,			)
def       A__(		__lowerCAmelCase	,			__lowerCAmelCase	,			__lowerCAmelCase ):
				_snake_case :			Any  						=   get_dataset_infos(__lowerCAmelCase )
				assert expected_config in infos
				_snake_case :			Any  						=   infos[expected_config]
				assert info.config_name == expected_config
				assert list(info.splits.keys() ) == expected_splits

@pytest.mark.parametrize(
    'path, config_name, expected_exception'	,			[
        ('paws', None, ValueError),
    ]	,			)
def       A__(		__lowerCAmelCase	,			__lowerCAmelCase	,			__lowerCAmelCase ):
				with pytest.raises(__lowerCAmelCase ):
								get_dataset_split_names(__lowerCAmelCase	,			config_name=__lowerCAmelCase )






