


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


     """simple docstring"""


     return [list(range(10_00 - i					,  -10_00 - i					,  -1 ) ) for i in range(10_00 )]


__snake_case   							=						generate_large_matrix()
__snake_case   							=						(
    [[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 )					-> None:


     """simple docstring"""


     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 )					-> int:


     """simple docstring"""


     __UpperCamelCase =			0
     __UpperCamelCase =			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:
          __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(_lowercase )






def 		_A		(		_lowercase )					-> int:


     """simple docstring"""


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

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






def 		_A		(		_lowercase )					-> int:


     """simple docstring"""


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






def 		_A		(		_lowercase )					-> int:


     """simple docstring"""


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






def 		_A		(		)					-> 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=_lowercase					,  number=5_00 )
          print(f'''{func}() took {time:0.4f} seconds''' )


if __name__ == "__main__":
    import doctest

    doctest.testmod()
    benchmark()








'''simple docstring'''



import inspect
import warnings
from typing import Any, Dict, Optional, Union

from packaging import version







def       _UpperCamelCase			(*_lowerCamelCase				:  str ,						_lowerCamelCase				:  Optional[Union[Dict, Any]] = None ,						_lowerCamelCase				:  List[Any]=True ,						_lowerCamelCase				:  str=2						)-> str:




     '''simple docstring'''





     from .. import __version__

     __snake_case            =	take_from
     __snake_case            =	()
     if not isinstance(args[0] ,						_lowerCamelCase						):
          __snake_case            =	(args,)

     for attribute, version_name, message in args:
          if version.parse(version.parse(_lowerCamelCase						).base_version						) >= version.parse(_lowerCamelCase						):
               raise ValueError(
                   f'''The deprecation tuple {(attribute, version_name, message)} should be removed since diffusers\''''
                   f''' version {__version__} is >= {version_name}'''						)

          __snake_case            =	None
          if isinstance(_lowerCamelCase ,						_lowerCamelCase						) and attribute in deprecated_kwargs:
               values += (deprecated_kwargs.pop(_lowerCamelCase						),)
               __snake_case            =	f'''The `{attribute}` argument is deprecated and will be removed in version {version_name}.'''
          elif hasattr(_lowerCamelCase ,						_lowerCamelCase						):
               values += (getattr(_lowerCamelCase ,						_lowerCamelCase						),)
               __snake_case            =	f'''The `{attribute}` attribute is deprecated and will be removed in version {version_name}.'''
          elif deprecated_kwargs is None:
               __snake_case            =	f'''`{attribute}` is deprecated and will be removed in version {version_name}.'''

          if warning is not None:
               __snake_case            =	warning + ''' ''' if standard_warn else ''''''
               warnings.warn(warning + message ,						_lowerCamelCase ,						stacklevel=_lowerCamelCase						)

     if isinstance(_lowerCamelCase ,						_lowerCamelCase						) and len(_lowerCamelCase						) > 0:
          __snake_case            =	inspect.getouterframes(inspect.currentframe()						)[1]
          __snake_case            =	call_frame.filename
          __snake_case            =	call_frame.lineno
          __snake_case            =	call_frame.function
          __snake_case       ,     __snake_case            =	next(iter(deprecated_kwargs.items()						)						)
          raise TypeError(f'''{function} in {filename} line {line_number-1} got an unexpected keyword argument `{key}`'''						)

     if len(_lowerCamelCase						) == 0:
          return
     elif len(_lowerCamelCase						) == 1:
          return values[0]
     return values






