





"""simple docstring"""



import pytest

from datasets.parallel import ParallelBackendConfig, parallel_backend
from datasets.utils.py_utils import map_nested

from .utils import require_dill_gt_0_3_2, require_joblibspark, require_not_windows







def 						__lowercase	(  snake_case_    :    Tuple		)  ->Optional[Any]:  # picklable for multiprocessing



    '''simple docstring'''







    return i + 1







@require_dill_gt_0_3_2
@require_joblibspark
@require_not_windows
def 						__lowercase	(  )  ->Any:



    '''simple docstring'''







    with parallel_backend('''spark'''		):
        assert ParallelBackendConfig.backend_name == "spark"

    __A       :		List[Any]							=	[1, 2, 3]
    with pytest.raises(snake_case_		):
        with parallel_backend('''unsupported backend'''		):
            map_nested(snake_case_							,snake_case_							,num_proc=2		)

    with pytest.raises(snake_case_		):
        with parallel_backend('''unsupported backend'''		):
            map_nested(snake_case_							,snake_case_							,num_proc=-1		)







@require_dill_gt_0_3_2
@require_joblibspark
@require_not_windows
@pytest.mark.parametrize('''num_proc'''							,[2, -1]		)
def 						__lowercase	(  snake_case_    :    Optional[int]		)  ->Dict:



    '''simple docstring'''







    __A       :		Dict							=	[1, 2]
    __A       :		Optional[int]							=	{'''a''': 1, '''b''': 2}
    __A       :		str							=	{'''a''': [1, 2], '''b''': [3, 4]}
    __A       :		List[str]							=	{'''a''': {'''1''': 1}, '''b''': 2}
    __A       :		List[Any]							=	{'''a''': 1, '''b''': 2, '''c''': 3, '''d''': 4}
    __A       :		Union[str, Any]							=	[2, 3]
    __A       :		Tuple							=	{'''a''': 2, '''b''': 3}
    __A       :		int							=	{'''a''': [2, 3], '''b''': [4, 5]}
    __A       :		Dict							=	{'''a''': {'''1''': 2}, '''b''': 3}
    __A       :		Optional[int]							=	{'''a''': 2, '''b''': 3, '''c''': 4, '''d''': 5}

    with parallel_backend('''spark'''		):
        assert map_nested(snake_case_							,snake_case_							,num_proc=snake_case_		) == expected_map_nested_sa
        assert map_nested(snake_case_							,snake_case_							,num_proc=snake_case_		) == expected_map_nested_sa
        assert map_nested(snake_case_							,snake_case_							,num_proc=snake_case_		) == expected_map_nested_sa
        assert map_nested(snake_case_							,snake_case_							,num_proc=snake_case_		) == expected_map_nested_sa
        assert map_nested(snake_case_							,snake_case_							,num_proc=snake_case_		) == expected_map_nested_sa










from math import isqrt


def 					_a							(					lowerCAmelCase )->	bool:
		return all(number % divisor != 0 for divisor in range(2    ,						isqrt(lowerCAmelCase ) + 1 ) )


def 					_a							(					lowerCAmelCase = 10**6 )->	int:
		SCREAMING_SNAKE_CASE_					      =							0
		SCREAMING_SNAKE_CASE_					      =							1
		SCREAMING_SNAKE_CASE_					      =							7
		while prime_candidate < max_prime:
				primes_count += is_prime(lowerCAmelCase )

				cube_index += 1
				prime_candidate += 6 * cube_index

		return primes_count


if __name__ == "__main__":
						print(f"""{solution() = }""")