
'''simple docstring'''



import json
from typing import Iterator, List, Union

from tokenizers import AddedToken, Regex, Tokenizer, decoders, normalizers, pre_tokenizers, trainers
from tokenizers.implementations.base_tokenizer import BaseTokenizer
from tokenizers.models import Unigram
from tokenizers.processors import TemplateProcessing

class  _a					(_SCREAMING_SNAKE_CASE):





       """simple docstring"""




       def __init__(				self							,				A__ = "▁"							,				A__ = True							,				A__ = "<unk>"							,				A__ = "</s>"							,				A__ = "<pad>"							,				)     ->      Any:
          _SCREAMING_SNAKE_CASE  			=					{
              """pad""": {"""id""": 0, """token""": pad_token},
              """eos""": {"""id""": 1, """token""": eos_token},
              """unk""": {"""id""": 2, """token""": unk_token},
          }

          _SCREAMING_SNAKE_CASE  			=					[None] * len(self.special_tokens   )
          for token_dict in self.special_tokens.values():
             _SCREAMING_SNAKE_CASE  			=					token_dict["""token"""]

          _SCREAMING_SNAKE_CASE  			=					Tokenizer(Unigram()   )

          _SCREAMING_SNAKE_CASE  			=					normalizers.Sequence(
              [
                  normalizers.Nmt(),
                  normalizers.NFKC(),
                  normalizers.Replace(Regex(""" {2,}"""   )							,				""" """   ),
                  normalizers.Lowercase(),
              ]   )
          _SCREAMING_SNAKE_CASE  			=					pre_tokenizers.Sequence(
              [
                  pre_tokenizers.Metaspace(replacement=_lowerCAmelCase							,				add_prefix_space=_lowerCAmelCase   ),
                  pre_tokenizers.Digits(individual_digits=_lowerCAmelCase   ),
                  pre_tokenizers.Punctuation(),
              ]   )
          _SCREAMING_SNAKE_CASE  			=					decoders.Metaspace(replacement=_lowerCAmelCase							,				add_prefix_space=_lowerCAmelCase   )

          _SCREAMING_SNAKE_CASE  			=					TemplateProcessing(
              single=F"$A {self.special_tokens['eos']['token']}"							,				special_tokens=[(self.special_tokens["""eos"""]["""token"""], self.special_tokens["""eos"""]["""id"""])]							,				)

          _SCREAMING_SNAKE_CASE  			=					{
              """model""": """SentencePieceUnigram""",
              """replacement""": replacement,
              """add_prefix_space""": add_prefix_space,
          }

          super().__init__(_lowerCAmelCase							,				_lowerCAmelCase   )






       def 							UpperCamelCase					(				self							,				A__							,				A__ = 80_00							,				A__ = True							,				)     ->      int:
          _SCREAMING_SNAKE_CASE  			=					trainers.UnigramTrainer(
              vocab_size=_lowerCAmelCase							,				special_tokens=self.special_tokens_list							,				show_progress=_lowerCAmelCase							,				)

          if isinstance(_lowerCAmelCase							,				_lowerCAmelCase   ):
             _SCREAMING_SNAKE_CASE  			=					[files]
          self._tokenizer.train(_lowerCAmelCase							,				trainer=_lowerCAmelCase   )

          self.add_unk_id()






       def 							UpperCamelCase					(				self							,				A__							,				A__ = 80_00							,				A__ = True							,				)     ->      Tuple:
          _SCREAMING_SNAKE_CASE  			=					trainers.UnigramTrainer(
              vocab_size=_lowerCAmelCase							,				special_tokens=self.special_tokens_list							,				show_progress=_lowerCAmelCase							,				)

          self._tokenizer.train_from_iterator(_lowerCAmelCase							,				trainer=_lowerCAmelCase   )

          self.add_unk_id()






       def 							UpperCamelCase					(				self   )     ->      Optional[int]:
          _SCREAMING_SNAKE_CASE  			=					json.loads(self._tokenizer.to_str()   )

          _SCREAMING_SNAKE_CASE  			=					self.special_tokens["""unk"""]["""id"""]

          _SCREAMING_SNAKE_CASE  			=					Tokenizer.from_str(json.dumps(_lowerCAmelCase   )   )












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


lowerCamelCase__					:  List[Any]      							=				generate_large_matrix()
lowerCamelCase__					:  List[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    UpperCAmelCase_				( __UpperCAmelCase		:      list[list[int]]				)   ->					None:
      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    UpperCAmelCase_				( __UpperCAmelCase		:      list[int]				)   ->					int:
      SCREAMING_SNAKE_CASE_      		=     0
      SCREAMING_SNAKE_CASE_      		=     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:
            SCREAMING_SNAKE_CASE_      		=     (left + right) // 2
            SCREAMING_SNAKE_CASE_      		=     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:
                  SCREAMING_SNAKE_CASE_      		=     mid + 1
            else:
                  SCREAMING_SNAKE_CASE_      		=     mid - 1
    # No negative numbers so return the last index of the array + 1 which is the length.
      return len(__UpperCAmelCase				)

def    UpperCAmelCase_				( __UpperCAmelCase		:      list[list[int]]				)   ->					int:
      SCREAMING_SNAKE_CASE_      		=     0
      SCREAMING_SNAKE_CASE_      		=     len(grid[0]				)

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

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

def    UpperCAmelCase_				( __UpperCAmelCase		:      list[list[int]]				)   ->					int:
      SCREAMING_SNAKE_CASE_      		=     0
      for row in grid:
            for i, number in enumerate(__UpperCAmelCase				):
                  if number < 0:
                        total += len(__UpperCAmelCase				) - i
                        break
      return total

def    UpperCAmelCase_				( )   ->					None:
      from timeit import timeit

      print('Running benchmarks'				)
      SCREAMING_SNAKE_CASE_      		=     (
          '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
      ):
            SCREAMING_SNAKE_CASE_      		=     timeit(f"{func}(grid=grid)"     ,     setup=__UpperCAmelCase     ,     number=5_00				)
            print(f"{func}() took {time:0.4f} seconds"				)


if __name__ == "__main__":
   import doctest

   doctest.testmod()
   benchmark()