





"""simple docstring"""





def       a__					(					):




		"""simple docstring"""


		return [list(range(1_000 - i  ,	-1_000 - i  ,	-1    )    ) for i in range(1_000    )]


lowerCAmelCase__     			=			generate_large_matrix()
lowerCAmelCase__     			=			(
    [[4, 3, 2, -1], [3, 2, 1, -1], [1, 1, -1, -2], [-1, -1, -2, -3]],
    [[3, 2], [1, 0]],
    [[7, 7, 6]],
    [[7, 7, 6], [-1, -2, -3]],
    grid,
)


def       a__					(					_SCREAMING_SNAKE_CASE    ):




		"""simple docstring"""


		assert all(row == sorted(_SCREAMING_SNAKE_CASE  ,	reverse=_SCREAMING_SNAKE_CASE    ) for row in grid    )
		assert all(list(_SCREAMING_SNAKE_CASE    ) == sorted(_SCREAMING_SNAKE_CASE  ,	reverse=_SCREAMING_SNAKE_CASE    ) for col in zip(*_SCREAMING_SNAKE_CASE    )    )


def       a__					(					_SCREAMING_SNAKE_CASE    ):




		"""simple docstring"""


		UpperCamelCase   =	0
		UpperCamelCase   =	len(_SCREAMING_SNAKE_CASE    ) - 1

		# Edge cases such as no values or all numbers are negative.
		if not array or array[0] < 0:
				return 0

		while right + 1 > left:
				UpperCamelCase   =	(left + right) // 2
				UpperCamelCase   =	array[mid]

				# Num must be negative and the index must be greater than or equal to 0.
				if num < 0 and array[mid - 1] >= 0:
						return mid

				if num >= 0:
						UpperCamelCase   =	mid + 1
				else:
						UpperCamelCase   =	mid - 1
    # No negative numbers so return the last index of the array + 1 which is the length.
		return len(_SCREAMING_SNAKE_CASE    )


def       a__					(					_SCREAMING_SNAKE_CASE    ):




		"""simple docstring"""


		UpperCamelCase   =	0
		UpperCamelCase   =	len(grid[0]    )

		for i in range(len(_SCREAMING_SNAKE_CASE    )    ):
				UpperCamelCase   =	find_negative_index(grid[i][:bound]    )
				total += bound
		return (len(_SCREAMING_SNAKE_CASE    ) * len(grid[0]    )) - total


def       a__					(					_SCREAMING_SNAKE_CASE    ):




		"""simple docstring"""


		return len([number for row in grid for number in row if number < 0]    )


def       a__					(					_SCREAMING_SNAKE_CASE    ):




		"""simple docstring"""


		UpperCamelCase   =	0
		for row in grid:
				for i, number in enumerate(_SCREAMING_SNAKE_CASE    ):
						if number < 0:
								total += len(_SCREAMING_SNAKE_CASE    ) - i
								break
		return total


def       a__					(					):




		"""simple docstring"""


		from timeit import timeit

		print("Running benchmarks"    )
		UpperCamelCase   =	(
		    "from __main__ import count_negatives_binary_search, "
		    "count_negatives_brute_force, count_negatives_brute_force_with_break, grid"
		)
		for func in (
		    "count_negatives_binary_search",  # took 0.7727 seconds
		    "count_negatives_brute_force_with_break",  # took 4.6505 seconds
		    "count_negatives_brute_force",  # took 12.8160 seconds
		):
				UpperCamelCase   =	timeit(F"{func}(grid=grid)"  ,	setup=_SCREAMING_SNAKE_CASE  ,	number=500    )
				print(F"{func}() took {time:0.4f} seconds"    )


if __name__ == "__main__":
						import doctest

						doctest.testmod()
						benchmark()













"""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       a__					(					_SCREAMING_SNAKE_CASE    ):  # picklable for multiprocessing




		"""simple docstring"""


		return i + 1


@require_dill_gt_0_3_2
@require_joblibspark
@require_not_windows
def       a__					(					):




		"""simple docstring"""


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

		UpperCamelCase   =	[1, 2, 3]
		with pytest.raises(_SCREAMING_SNAKE_CASE    ):
				with parallel_backend("unsupported backend"    ):
						map_nested(_SCREAMING_SNAKE_CASE  ,	_SCREAMING_SNAKE_CASE  ,	num_proc=2    )

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






@require_dill_gt_0_3_2
@require_joblibspark
@require_not_windows
@pytest.mark.parametrize("num_proc"  ,	[2, -1]    )
def       a__					(					_SCREAMING_SNAKE_CASE    ):




		"""simple docstring"""


		UpperCamelCase   =	[1, 2]
		UpperCamelCase   =	{"a": 1, "b": 2}
		UpperCamelCase   =	{"a": [1, 2], "b": [3, 4]}
		UpperCamelCase   =	{"a": {"1": 1}, "b": 2}
		UpperCamelCase   =	{"a": 1, "b": 2, "c": 3, "d": 4}
		UpperCamelCase   =	[2, 3]
		UpperCamelCase   =	{"a": 2, "b": 3}
		UpperCamelCase   =	{"a": [2, 3], "b": [4, 5]}
		UpperCamelCase   =	{"a": {"1": 2}, "b": 3}
		UpperCamelCase   =	{"a": 2, "b": 3, "c": 4, "d": 5}

		with parallel_backend("spark"    ):
				assert map_nested(_SCREAMING_SNAKE_CASE  ,	_SCREAMING_SNAKE_CASE  ,	num_proc=_SCREAMING_SNAKE_CASE    ) == expected_map_nested_sa
				assert map_nested(_SCREAMING_SNAKE_CASE  ,	_SCREAMING_SNAKE_CASE  ,	num_proc=_SCREAMING_SNAKE_CASE    ) == expected_map_nested_sa
				assert map_nested(_SCREAMING_SNAKE_CASE  ,	_SCREAMING_SNAKE_CASE  ,	num_proc=_SCREAMING_SNAKE_CASE    ) == expected_map_nested_sa
				assert map_nested(_SCREAMING_SNAKE_CASE  ,	_SCREAMING_SNAKE_CASE  ,	num_proc=_SCREAMING_SNAKE_CASE    ) == expected_map_nested_sa
				assert map_nested(_SCREAMING_SNAKE_CASE  ,	_SCREAMING_SNAKE_CASE  ,	num_proc=_SCREAMING_SNAKE_CASE    ) == expected_map_nested_sa






