
'''simple docstring'''


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


snake_case_			:	Optional[int] 	=       generate_large_matrix()
snake_case_			:	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 			__snake_case  (     _UpperCAmelCase       :							list[list[int]]):
   assert all(row == sorted(UpperCamelCase__,   reverse=UpperCamelCase__) for row in grid)
   assert all(list(UpperCamelCase__) == sorted(UpperCamelCase__,   reverse=UpperCamelCase__) for col in zip(*UpperCamelCase__))



def 			__snake_case  (     _UpperCAmelCase       :							list[int]):
   UpperCamelCase	  =	0
   UpperCamelCase	  =	len(UpperCamelCase__) - 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(UpperCamelCase__)



def 			__snake_case  (     _UpperCAmelCase       :							list[list[int]]):
   UpperCamelCase	  =	0
   UpperCamelCase	  =	len(grid[0])

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



def 			__snake_case  (     _UpperCAmelCase       :							list[list[int]]):
   return len([number for row in grid for number in row if number < 0])



def 			__snake_case  (     _UpperCAmelCase       :							list[list[int]]):
   UpperCamelCase	  =	0
   for row in grid:
      for i, number in enumerate(UpperCamelCase__):
         if number < 0:
            total += len(UpperCamelCase__) - i
            break
   return total



def 			__snake_case  (     ):
   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=UpperCamelCase__,   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_tokenizers_available, is_torch_available


a__: int							   =						{
    'configuration_m2m_100': ['M2M_100_PRETRAINED_CONFIG_ARCHIVE_MAP', 'M2M100Config', 'M2M100OnnxConfig'],
    'tokenization_m2m_100': ['M2M100Tokenizer'],
}


try:
       if not is_torch_available():
              raise OptionalDependencyNotAvailable()
except OptionalDependencyNotAvailable:
       pass
else:
       a__: List[Any]							   =						[
           'M2M_100_PRETRAINED_MODEL_ARCHIVE_LIST',
           'M2M100ForConditionalGeneration',
           'M2M100Model',
           'M2M100PreTrainedModel',
       ]


if TYPE_CHECKING:
       from .configuration_mam_aaa import M2M_100_PRETRAINED_CONFIG_ARCHIVE_MAP, MaMaaaConfig, MaMaaaOnnxConfig
       from .tokenization_mam_aaa import MaMaaaTokenizer

       try:
              if not is_torch_available():
                     raise OptionalDependencyNotAvailable()
       except OptionalDependencyNotAvailable:
              pass
       else:
              from .modeling_mam_aaa import (
                  M2M_100_PRETRAINED_MODEL_ARCHIVE_LIST,
                  MaMaaaForConditionalGeneration,
                  MaMaaaModel,
                  MaMaaaPreTrainedModel,
              )


else:
       import sys

       a__: List[str]							   =						_LazyModule(__name__, globals()['__file__'], _import_structure, module_spec=__spec__)





