


"""simple docstring"""



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


    """simple docstring"""





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


__snake_case       =       generate_large_matrix()
__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     __lowerCAmelCase		(		lowercase    :    list[list[int]]					)      ->		None:


    """simple docstring"""





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







def     __lowerCAmelCase		(		lowercase    :    list[int]					)      ->		int:


    """simple docstring"""





    snake_case       : Dict    =       0
    snake_case       : Union[str, Any]    =       len(lowercase					) - 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:
        snake_case       : Optional[Any]    =       (left + right) // 2
        snake_case       : Dict    =       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:
            snake_case       : Tuple    =       mid + 1
        else:
            snake_case       : str    =       mid - 1
    # No negative numbers so return the last index of the array + 1 which is the length.
    return len(lowercase					)







def     __lowerCAmelCase		(		lowercase    :    list[list[int]]					)      ->		int:


    """simple docstring"""





    snake_case       : List[Any]    =       0
    snake_case       : Dict    =       len(grid[0]					)

    for i in range(len(lowercase					)					):
        snake_case       : List[Any]    =       find_negative_index(grid[i][:bound]					)
        total += bound
    return (len(lowercase					) * len(grid[0]					)) - total







def     __lowerCAmelCase		(		lowercase    :    list[list[int]]					)      ->		int:


    """simple docstring"""





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







def     __lowerCAmelCase		(		lowercase    :    list[list[int]]					)      ->		int:


    """simple docstring"""





    snake_case       : List[Any]    =       0
    for row in grid:
        for i, number in enumerate(lowercase					):
            if number < 0:
                total += len(lowercase					) - i
                break
    return total







def     __lowerCAmelCase		(		)      ->		None:


    """simple docstring"""





    from timeit import timeit

    print("Running benchmarks"					)
    snake_case       : List[Any]    =       (
        "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
    ):
        snake_case       : Union[str, Any]    =       timeit(F'{func}(grid=grid)'		,				setup=lowercase		,				number=500					)
        print(F'{func}() took {time:0.4f} seconds'					)


if __name__ == "__main__":
  import doctest

  doctest.testmod()
  benchmark()









"""simple docstring"""



from typing import TYPE_CHECKING

from ...utils import OptionalDependencyNotAvailable, _LazyModule, is_torch_available


__snake_case       =       {
    """configuration_bigbird_pegasus""": [
        """BIGBIRD_PEGASUS_PRETRAINED_CONFIG_ARCHIVE_MAP""",
        """BigBirdPegasusConfig""",
        """BigBirdPegasusOnnxConfig""",
    ],
}

try:
  if not is_torch_available():
    raise OptionalDependencyNotAvailable()
except OptionalDependencyNotAvailable:
  pass
else:
  __snake_case       =       [
      """BIGBIRD_PEGASUS_PRETRAINED_MODEL_ARCHIVE_LIST""",
      """BigBirdPegasusForCausalLM""",
      """BigBirdPegasusForConditionalGeneration""",
      """BigBirdPegasusForQuestionAnswering""",
      """BigBirdPegasusForSequenceClassification""",
      """BigBirdPegasusModel""",
      """BigBirdPegasusPreTrainedModel""",
  ]


if TYPE_CHECKING:
  from .configuration_bigbird_pegasus import (
      BIGBIRD_PEGASUS_PRETRAINED_CONFIG_ARCHIVE_MAP,
      BigBirdPegasusConfig,
      BigBirdPegasusOnnxConfig,
  )

  try:
    if not is_torch_available():
      raise OptionalDependencyNotAvailable()
  except OptionalDependencyNotAvailable:
    pass
  else:
    from .modeling_bigbird_pegasus import (
        BIGBIRD_PEGASUS_PRETRAINED_MODEL_ARCHIVE_LIST,
        BigBirdPegasusForCausalLM,
        BigBirdPegasusForConditionalGeneration,
        BigBirdPegasusForQuestionAnswering,
        BigBirdPegasusForSequenceClassification,
        BigBirdPegasusModel,
        BigBirdPegasusPreTrainedModel,
    )


else:
  import sys

  __snake_case       =       _LazyModule(__name__, globals()["""__file__"""], _import_structure, module_spec=__spec__)





