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


__UpperCamelCase		:       Any									=     generate_large_matrix()
__UpperCamelCase		:       Union[str, Any]									=     (
    [[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	(    _lowercase						):
						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       A	(    _lowercase						):
						SCREAMING_SNAKE_CASE							:    Dict							=							0
						SCREAMING_SNAKE_CASE							:    Optional[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:
												SCREAMING_SNAKE_CASE							:    Any							=							(left + right) // 2
												SCREAMING_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:
																		SCREAMING_SNAKE_CASE							:    List[str]							=							mid + 1
												else:
																		SCREAMING_SNAKE_CASE							:    Tuple							=							mid - 1
    # No negative numbers so return the last index of the array + 1 which is the length.
						return len(_lowercase						)
def       A	(    _lowercase						):
						SCREAMING_SNAKE_CASE							:    int							=							0
						SCREAMING_SNAKE_CASE							:    Dict							=							len(grid[0]						)

						for i in range(len(_lowercase						)						):
												SCREAMING_SNAKE_CASE							:    Optional[int]							=							find_negative_index(grid[i][:bound]						)
												total += bound
						return (len(_lowercase						) * len(grid[0]						)) - total
def       A	(    _lowercase						):
						return len([number for row in grid for number in row if number < 0]						)
def       A	(    _lowercase						):
						SCREAMING_SNAKE_CASE							:    Optional[Any]							=							0
						for row in grid:
												for i, number in enumerate(_lowercase						):
																		if number < 0:
																								total += len(_lowercase						) - i
																								break
						return total
def       A	(    ):
						from timeit import timeit

						print('''Running benchmarks'''						)
						SCREAMING_SNAKE_CASE							:    Tuple							=							(
						    '''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
						):
												SCREAMING_SNAKE_CASE							:    int							=							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()






def       A	(    _lowercase		,  _lowercase		,  _lowercase						):
						return round(float(moles / volume						) * nfactor						)
def       A	(    _lowercase		,  _lowercase		,  _lowercase						):
						return round(float((moles * 0.0821 * temperature) / (volume)						)						)
def       A	(    _lowercase		,  _lowercase		,  _lowercase						):
						return round(float((moles * 0.0821 * temperature) / (pressure)						)						)
def       A	(    _lowercase		,  _lowercase		,  _lowercase						):
						return round(float((pressure * volume) / (0.0821 * moles)						)						)


if __name__ == "__main__":
					import doctest

					doctest.testmod()





