





def       _UpperCamelCase       ():






							"""simple docstring"""





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


UpperCamelCase__     =	generate_large_matrix()
UpperCamelCase__     =	(
    [[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       _UpperCamelCase       (a__				:list[list[int]]    ):






							"""simple docstring"""





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





def       _UpperCamelCase       (a__				:list[int]    ):






							"""simple docstring"""





							UpperCamelCase__			       =     0
							UpperCamelCase__			       =     len(_a    ) - 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(_a    )





def       _UpperCamelCase       (a__				:list[list[int]]    ):






							"""simple docstring"""





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

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





def       _UpperCamelCase       (a__				:list[list[int]]    ):






							"""simple docstring"""





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





def       _UpperCamelCase       (a__				:list[list[int]]    ):






							"""simple docstring"""





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





def       _UpperCamelCase       ():






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


if __name__ == "__main__":
					import doctest

					doctest.testmod()
					benchmark()











from typing import TYPE_CHECKING

from ...utils import OptionalDependencyNotAvailable, _LazyModule, is_sentencepiece_available


UpperCamelCase__     =	{}

try:
					if not is_sentencepiece_available():
										raise OptionalDependencyNotAvailable()
except OptionalDependencyNotAvailable:
					pass
else:
					UpperCamelCase__     =	["GPTSw3Tokenizer"]


if TYPE_CHECKING:
					try:
										if not is_sentencepiece_available():
															raise OptionalDependencyNotAvailable()
					except OptionalDependencyNotAvailable:
										pass
					else:
										from .tokenization_gpt_swa import GPTSwaTokenizer

else:
					import sys

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




