
"""simple docstring"""

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 multiprocessing import Lock, Pipe, Process

# lock used to ensure that two processes do not access a pipe at the same time
SCREAMING_SNAKE_CASE_    					=						Lock()




def     lowercase__						(					lowerCAmelCase				:					Dict ,				lowerCAmelCase				:					Dict ,				lowerCAmelCase				:					Union[str, Any] ,				lowerCAmelCase				:					Optional[Any] ,				lowerCAmelCase				:					str ,				lowerCAmelCase				:					Optional[int] ,				lowerCAmelCase				:					Optional[Any] ) ->      Optional[int]:






    """simple docstring"""




    global process_lock

    # we perform n swaps since after n swaps we know we are sorted
    # we *could* stop early if we are sorted already, but it takes as long to
    # find out we are sorted as it does to sort the list with this algorithm
    for i in range(0 ,				10 ):
        if (i + position) % 2 == 0 and r_send is not None:
            # send your value to your right neighbor
            process_lock.acquire()
            r_send[1].send(lowerCAmelCase )
            process_lock.release()

            # receive your right neighbor's value
            process_lock.acquire()
            UpperCAmelCase									=					rr_cv[0].recv()
            process_lock.release()

            # take the lower value since you are on the left
            UpperCAmelCase									=					min(lowerCAmelCase ,				lowerCAmelCase )
        elif (i + position) % 2 != 0 and l_send is not None:
            # send your value to your left neighbor
            process_lock.acquire()
            l_send[1].send(lowerCAmelCase )
            process_lock.release()

            # receive your left neighbor's value
            process_lock.acquire()
            UpperCAmelCase									=					lr_cv[0].recv()
            process_lock.release()

            # take the higher value since you are on the right
            UpperCAmelCase									=					max(lowerCAmelCase ,				lowerCAmelCase )
    # after all swaps are performed, send the values back to main
    result_pipe[1].send(lowerCAmelCase )




def     lowercase__						(					lowerCAmelCase				:					Union[str, Any] ) ->      List[str]:






    """simple docstring"""




    UpperCAmelCase									=					[]
    UpperCAmelCase									=					[]
    # initialize the list of pipes where the values will be retrieved
    for _ in arr:
        result_pipe.append(Pipe() )
    # creates the processes
    # the first and last process only have one neighbor so they are made outside
    # of the loop
    UpperCAmelCase									=					Pipe()
    UpperCAmelCase									=					Pipe()
    process_array_.append(
        Process(
            target=lowerCAmelCase ,				args=(0, arr[0], None, temp_rs, None, temp_rr, result_pipe[0]) ,				) )
    UpperCAmelCase									=					temp_rs
    UpperCAmelCase									=					temp_rr

    for i in range(1 ,				len(lowerCAmelCase ) - 1 ):
        UpperCAmelCase									=					Pipe()
        UpperCAmelCase									=					Pipe()
        process_array_.append(
            Process(
                target=lowerCAmelCase ,				args=(i, arr[i], temp_ls, temp_rs, temp_lr, temp_rr, result_pipe[i]) ,				) )
        UpperCAmelCase									=					temp_rs
        UpperCAmelCase									=					temp_rr

    process_array_.append(
        Process(
            target=lowerCAmelCase ,				args=(
                len(lowerCAmelCase ) - 1,
                arr[len(lowerCAmelCase ) - 1],
                temp_ls,
                None,
                temp_lr,
                None,
                result_pipe[len(lowerCAmelCase ) - 1],
            ) ,				) )

    # start the processes
    for p in process_array_:
        p.start()

    # wait for the processes to end and write their values to the list
    for p in range(0 ,				len(lowerCAmelCase ) ):
        UpperCAmelCase									=					result_pipe[p][0].recv()
        process_array_[p].join()
    return arr




def     lowercase__						(					) ->      Union[str, Any]:






    """simple docstring"""




    UpperCAmelCase									=					list(range(10 ,				0 ,				-1 ) )
    print('Initial List' )
    print(*lowerCAmelCase )
    UpperCAmelCase									=					odd_even_transposition(lowerCAmelCase )
    print('Sorted List\n' )
    print(*lowerCAmelCase )


if __name__ == "__main__":
   main()



