
def     lowercase__						(					) ->      list[list[int]]:






    """simple docstring"""




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


SCREAMING_SNAKE_CASE_    					=						generate_large_matrix()
SCREAMING_SNAKE_CASE_    					=						(
    [[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     lowercase__						(					lowerCAmelCase				:					list[list[int]] ) ->      None:






    """simple docstring"""




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




def     lowercase__						(					lowerCAmelCase				:					list[int] ) ->      int:






    """simple docstring"""




    UpperCAmelCase									=					0
    UpperCAmelCase									=					len(lowerCAmelCase ) - 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(lowerCAmelCase )




def     lowercase__						(					lowerCAmelCase				:					list[list[int]] ) ->      int:






    """simple docstring"""




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

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




def     lowercase__						(					lowerCAmelCase				:					list[list[int]] ) ->      int:






    """simple docstring"""




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




def     lowercase__						(					lowerCAmelCase				:					list[list[int]] ) ->      int:






    """simple docstring"""




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




def     lowercase__						(					) ->      None:






    """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=lowerCAmelCase ,				number=500 )
        print(F"{func}() took {time:0.4f} seconds" )


if __name__ == "__main__":
   import doctest

   doctest.testmod()
   benchmark()





"""simple docstring"""

from __future__ import annotations

import numpy as np




def     lowercase__						(					lowerCAmelCase				:					list[float] ) ->      Dict:






    """simple docstring"""




    return np.maximum(0 ,				lowerCAmelCase )


if __name__ == "__main__":
   print(np.array(relu([-1, 0, 5])))  # --> [0, 0, 5]



