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







				"""simple docstring"""



				return [list(range(1_0_0_0 - i						,  -1_0_0_0 - i						,  -1		)		) for i in range(1_0_0_0		)]


SCREAMING_SNAKE_CASE				:str									=							generate_large_matrix()
SCREAMING_SNAKE_CASE				:Dict									=							(
    [[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_		)						->      None:







				"""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_		)						->      int:







				"""simple docstring"""



				__A       =					0
				__A       =					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:
								__A       =					(left + right) // 2
								__A       =					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:
												__A       =					mid + 1
								else:
												__A       =					mid - 1
    # No negative numbers so return the last index of the array + 1 which is the length.
				return len(a_		)


def 		UpperCAmelCase     (      a_		)						->      int:







				"""simple docstring"""



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

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


def 		UpperCAmelCase     (      a_		)						->      int:







				"""simple docstring"""



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


def 		UpperCAmelCase     (      a_		)						->      int:







				"""simple docstring"""



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


def 		UpperCAmelCase     (      )						->      None:







				"""simple docstring"""



				from timeit import timeit

				print("Running benchmarks"		)
				__A       =					(
				    "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
				):
								__A       =					timeit(F'''{func}(grid=grid)'''						,  setup=a_						,  number=5_0_0		)
								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_flax_available,
    is_tf_available,
    is_torch_available,
)


_UpperCamelCase						:  Optional[int]							       =				{
    "configuration_vision_text_dual_encoder": ["VisionTextDualEncoderConfig"],
    "processing_vision_text_dual_encoder": ["VisionTextDualEncoderProcessor"],
}


try:
     if not is_torch_available():
          raise OptionalDependencyNotAvailable()
except OptionalDependencyNotAvailable:
     pass
else:
     _UpperCamelCase						:  Dict							       =				["VisionTextDualEncoderModel"]


try:
     if not is_flax_available():
          raise OptionalDependencyNotAvailable()
except OptionalDependencyNotAvailable:
     pass
else:
     _UpperCamelCase						:  int							       =				["FlaxVisionTextDualEncoderModel"]

try:
     if not is_tf_available():
          raise OptionalDependencyNotAvailable()
except OptionalDependencyNotAvailable:
     pass
else:
     _UpperCamelCase						:  Tuple							       =				["TFVisionTextDualEncoderModel"]


if TYPE_CHECKING:
     from .configuration_vision_text_dual_encoder import VisionTextDualEncoderConfig
     from .processing_vision_text_dual_encoder import VisionTextDualEncoderProcessor

     try:
          if not is_torch_available():
               raise OptionalDependencyNotAvailable()
     except OptionalDependencyNotAvailable:
          pass
     else:
          from .modeling_vision_text_dual_encoder import VisionTextDualEncoderModel

     try:
          if not is_flax_available():
               raise OptionalDependencyNotAvailable()
     except OptionalDependencyNotAvailable:
          pass
     else:
          from .modeling_flax_vision_text_dual_encoder import FlaxVisionTextDualEncoderModel

     try:
          if not is_tf_available():
               raise OptionalDependencyNotAvailable()
     except OptionalDependencyNotAvailable:
          pass
     else:
          from .modeling_tf_vision_text_dual_encoder import TFVisionTextDualEncoderModel


else:
     import sys

     _UpperCamelCase						:  Optional[int]							       =				_LazyModule(__name__, globals()["__file__"], _import_structure)





