



def   lowerCAmelCase__						(							):
    """simple docstring"""







    return [list(range(1000 - i				,     -1000 - i				,     -1    )    ) for i in range(1000    )]


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   lowerCAmelCase__						(							_SCREAMING_SNAKE_CASE       :			list[list[int]]    ):
    """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   lowerCAmelCase__						(							_SCREAMING_SNAKE_CASE       :			list[int]    ):
    """simple docstring"""







    __a       =		0
    __a       =		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:
        __a       =		(left + right) // 2
        __a       =		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:
            __a       =		mid + 1
        else:
            __a       =		mid - 1
    # No negative numbers so return the last index of the array + 1 which is the length.
    return len(_SCREAMING_SNAKE_CASE    )

def   lowerCAmelCase__						(							_SCREAMING_SNAKE_CASE       :			list[list[int]]    ):
    """simple docstring"""







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

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

def   lowerCAmelCase__						(							_SCREAMING_SNAKE_CASE       :			list[list[int]]    ):
    """simple docstring"""







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

def   lowerCAmelCase__						(							_SCREAMING_SNAKE_CASE       :			list[list[int]]    ):
    """simple docstring"""







    __a       =		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   lowerCAmelCase__						(							):
    """simple docstring"""







    from timeit import timeit

    print("""Running benchmarks"""    )
    __a       =		(
        """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
    ):
        __a       =		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()





import unittest
from dataclasses import dataclass

import pytest

from accelerate.commands.config.config_args import SageMakerConfig
from accelerate.utils import ComputeEnvironment
from accelerate.utils.launch import _convert_nargs_to_dict






@dataclass
class    SCREAMING_SNAKE_CASE			(							lowerCamelCase__					):
							__lowerCamelCase	:	List[Any]    =ComputeEnvironment.AMAZON_SAGEMAKER
							__lowerCamelCase	:	Optional[int]    =True
							__lowerCamelCase	:	List[Any]    ='ml.p3.2xlarge'
							__lowerCamelCase	:	Optional[int]    ='accelerate_sagemaker_execution_role'
							__lowerCamelCase	:	Optional[Any]    ='hf-sm'
							__lowerCamelCase	:	Any    ='us-east-1'
							__lowerCamelCase	:	Any    =1
							__lowerCamelCase	:	List[str]    ='accelerate-sagemaker-1'
							__lowerCamelCase	:	Union[str, Any]    ='1.6'
							__lowerCamelCase	:	str    ='4.4'
							__lowerCamelCase	:	List[str]    ='train.py'
							__lowerCamelCase	:	List[Any]    =[
							    '--model_name_or_path',
							    'bert',
							    '--do_train',
							    'False',
							    '--epochs',
							    '3',
							    '--learning_rate',
							    '5e-5',
							    '--max_steps',
							    '50.5',
							]
							__lowerCamelCase	:	Tuple    =[
							    '--model_name_or_path',
							    'bert',
							    '--do_train',
							    '--do_test',
							    'False',
							    '--do_predict',
							    '--epochs',
							    '3',
							    '--learning_rate',
							    '5e-5',
							    '--max_steps',
							    '50.5',
							]






class    SCREAMING_SNAKE_CASE			(							unittest.TestCase					):





							def 						UpperCamelCase_					(   self		:		Union[str, Any]	):

											'''simple docstring'''
											# If no defaults are changed, `to_kwargs` returns an empty dict.
											__a       =		_convert_nargs_to_dict(MockLaunchConfig.success_training_script_args	)
											assert isinstance(converted_args["""model_name_or_path"""]      ,				__lowercase	)
											assert isinstance(converted_args["""do_train"""]      ,				__lowercase	)
											assert isinstance(converted_args["""epochs"""]      ,				__lowercase	)
											assert isinstance(converted_args["""learning_rate"""]      ,				__lowercase	)
											assert isinstance(converted_args["""max_steps"""]      ,				__lowercase	)

											with pytest.raises(__lowercase	):
															_convert_nargs_to_dict(MockLaunchConfig.fail_training_script_args	)
