





'''simple docstring'''


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

       """simple docstring"""


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


a__			:					str       						=						generate_large_matrix()
a__			:					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		( SCREAMING_SNAKE_CASE_ :			list[list[int]] )							->     None:

       """simple docstring"""


       assert all(row == sorted(SCREAMING_SNAKE_CASE_			,	reverse=SCREAMING_SNAKE_CASE_ ) for row in grid )
       assert all(list(SCREAMING_SNAKE_CASE_ ) == sorted(SCREAMING_SNAKE_CASE_			,	reverse=SCREAMING_SNAKE_CASE_ ) for col in zip(*SCREAMING_SNAKE_CASE_ ) )
def       __snake_case		( SCREAMING_SNAKE_CASE_ :			list[int] )							->     int:

       """simple docstring"""


       UpperCAmelCase  =						0
       UpperCAmelCase  =						len(SCREAMING_SNAKE_CASE_ ) - 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(SCREAMING_SNAKE_CASE_ )
def       __snake_case		( SCREAMING_SNAKE_CASE_ :			list[list[int]] )							->     int:

       """simple docstring"""


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

       for i in range(len(SCREAMING_SNAKE_CASE_ ) ):
              UpperCAmelCase  =						find_negative_index(grid[i][:bound] )
              total += bound
       return (len(SCREAMING_SNAKE_CASE_ ) * len(grid[0] )) - total
def       __snake_case		( SCREAMING_SNAKE_CASE_ :			list[list[int]] )							->     int:

       """simple docstring"""


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

       """simple docstring"""


       UpperCAmelCase  =						0
       for row in grid:
              for i, number in enumerate(SCREAMING_SNAKE_CASE_ ):
                     if number < 0:
                            total += len(SCREAMING_SNAKE_CASE_ ) - i
                            break
       return total
def       __snake_case		( )							->     None:

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


if __name__ == "__main__":
    import doctest

    doctest.testmod()
    benchmark()








import torch
from transformers import PreTrainedModel, XLMRobertaConfig, XLMRobertaModel





class 			lowerCamelCase_				( _SCREAMING_SNAKE_CASE   ):


 '''simple docstring'''







 lowercase_							       =       "M-CLIP"



 def __init__(				self    :						Tuple							,							_lowerCAmelCase    :						List[str]=1_024							,							_lowerCAmelCase    :						str=768							,							**_lowerCAmelCase    :						Union[str, Any]		):
       SCREAMING_SNAKE_CASE_      		=     transformerDimSize
       SCREAMING_SNAKE_CASE_      		=     imageDimSize
       super().__init__(**_lowerCAmelCase		)





class 			lowerCamelCase_				( _SCREAMING_SNAKE_CASE   ):


 '''simple docstring'''







 lowercase_							       =       MCLIPConfig



 def __init__(				self    :						Dict							,							_lowerCAmelCase    :						Union[str, Any]							,							*_lowerCAmelCase    :						str							,							**_lowerCAmelCase    :						str		):
       super().__init__(_lowerCAmelCase							,							*_lowerCAmelCase							,							**_lowerCAmelCase		)
       SCREAMING_SNAKE_CASE_      		=     XLMRobertaModel(_lowerCAmelCase		)
       SCREAMING_SNAKE_CASE_      		=     torch.nn.Linear(
           in_features=config.transformerDimensions							,							out_features=config.numDims		)




 def  lowerCAmelCase_    (				self    :						List[Any]							,							_lowerCAmelCase    :						Any							,							_lowerCAmelCase    :						Union[str, Any]		):
       SCREAMING_SNAKE_CASE_      		=     self.transformer(input_ids=_lowerCAmelCase							,							attention_mask=_lowerCAmelCase		)[0]
       SCREAMING_SNAKE_CASE_      		=     (embs * attention_mask.unsqueeze(2		)).sum(dim=1		) / attention_mask.sum(dim=1		)[:, None]
       return self.LinearTransformation(_lowerCAmelCase		), embs