"""simple docstring"""







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


__SCREAMING_SNAKE_CASE    	=generate_large_matrix()
__SCREAMING_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 			lowercase__(       __SCREAMING_SNAKE_CASE							:     list[list[int]]      ):
     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 			lowercase__(       __SCREAMING_SNAKE_CASE							:     list[int]      ):
     lowercase_	:				Any													=	0
     lowercase_	:				List[str]													=	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:
          lowercase_	:				Dict													=	(left + right) // 2
          lowercase_	:				Optional[Any]													=	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:
               lowercase_	:				Tuple													=	mid + 1
          else:
               lowercase_	:				Union[str, Any]													=	mid - 1
    # No negative numbers so return the last index of the array + 1 which is the length.
     return len(__SCREAMING_SNAKE_CASE      )



def 			lowercase__(       __SCREAMING_SNAKE_CASE							:     list[list[int]]      ):
     lowercase_	:				Optional[int]													=	0
     lowercase_	:				List[str]													=	len(grid[0]      )

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



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



def 			lowercase__(       __SCREAMING_SNAKE_CASE							:     list[list[int]]      ):
     lowercase_	:				Tuple													=	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 			lowercase__(       ):
     from timeit import timeit

     print('Running benchmarks'      )
     lowercase_	:				Tuple													=	(
         '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
     ):
          lowercase_	:				Optional[int]													=	timeit(F'''{func}(grid=grid)'''     ,			setup=__SCREAMING_SNAKE_CASE     ,			number=5_00      )
          print(F'''{func}() took {time:0.4f} seconds'''      )


if __name__ == "__main__":
       import doctest

       doctest.testmod()
       benchmark()


"""simple docstring"""







import sys

from .dependency_versions_table import deps
from .utils.versions import require_version, require_version_core


# define which module versions we always want to check at run time
# (usually the ones defined in `install_requires` in setup.py)
#
# order specific notes:
# - tqdm must be checked before tokenizers

__SCREAMING_SNAKE_CASE    	="python tqdm regex requests packaging filelock numpy tokenizers".split()
if sys.version_info < (3, 7):
       pkgs_to_check_at_runtime.append("dataclasses")
if sys.version_info < (3, 8):
       pkgs_to_check_at_runtime.append("importlib_metadata")

for pkg in pkgs_to_check_at_runtime:
       if pkg in deps:
              if pkg == "tokenizers":
                     # must be loaded here, or else tqdm check may fail
                     from .utils import is_tokenizers_available

                     if not is_tokenizers_available():
                            continue  # not required, check version only if installed

              require_version_core(deps[pkg])
       else:
              raise ValueError(F"can't find {pkg} in {deps.keys()}, check dependency_versions_table.py")



def 			lowercase__(       __SCREAMING_SNAKE_CASE							:     int     ,			__SCREAMING_SNAKE_CASE							:     Union[str, Any]=None      ):
     require_version(deps[pkg]     ,			__SCREAMING_SNAKE_CASE      )

