

"""simple docstring"""





def   _A  (  )	->						list[list[int]]:
   '''simple docstring'''


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


_a       =							generate_large_matrix()
_a       =							(
    [[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  (  UpperCamelCase_     :       list[list[int]])	->						None:
   '''simple docstring'''


   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   _A  (  UpperCamelCase_     :       list[int])	->						int:
   '''simple docstring'''


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




def   _A  (  UpperCamelCase_     :       list[list[int]])	->						int:
   '''simple docstring'''


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

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




def   _A  (  UpperCamelCase_     :       list[list[int]])	->						int:
   '''simple docstring'''


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




def   _A  (  UpperCamelCase_     :       list[list[int]])	->						int:
   '''simple docstring'''


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




def   _A  (  )	->						None:
   '''simple docstring'''


   from timeit import timeit

   print("Running benchmarks")
   __lowercase								=						(
       "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								=						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()







"""simple docstring"""





import baseaa




def   _A  (  UpperCamelCase_     :       str)	->						bytes:
   '''simple docstring'''


   return baseaa.baaencode(string.encode("utf-8"))




def   _A  (  UpperCamelCase_     :       bytes)	->						str:
   '''simple docstring'''


   return baseaa.baadecode(UpperCamelCase_).decode("utf-8")


if __name__ == "__main__":
   _a       =							'Hello World!'
   _a       =							baseaa_encode(test)
   print(encoded)

   _a       =							baseaa_decode(encoded)
   print(decoded)




