


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_ (	_UpperCamelCase   ):




      '''simple docstring'''


      def __init__(    self:	List[Any]						,				a:	str = "▁"						,				a:	bool = True						,				a:	Union[str, AddedToken] = "<unk>"						,				a:	Union[str, AddedToken] = "</s>"						,				a:	Union[str, AddedToken] = "<pad>"						,				):
       __lowerCamelCase		:							Union[str, Any]		 =						{
           'pad': {'id': 0, 'token': pad_token},
           'eos': {'id': 1, 'token': eos_token},
           'unk': {'id': 2, 'token': unk_token},
       }

       __lowerCamelCase		:							Optional[Any]		 =						[None] * len(self.special_tokens    )
       for token_dict in self.special_tokens.values():
        __lowerCamelCase		:							Optional[Any]		 =						token_dict['token']

       __lowerCamelCase		:							Optional[int]		 =						Tokenizer(Unigram()    )

       __lowerCamelCase		:							List[Any]		 =						normalizers.Sequence(
           [
               normalizers.Nmt(),
               normalizers.NFKC(),
               normalizers.Replace(Regex(' {2,}'    )						,				' '    ),
               normalizers.Lowercase(),
           ]    )
       __lowerCamelCase		:							Optional[int]		 =						pre_tokenizers.Sequence(
           [
               pre_tokenizers.Metaspace(replacement=_UpperCAmelCase						,				add_prefix_space=_UpperCAmelCase    ),
               pre_tokenizers.Digits(individual_digits=_UpperCAmelCase    ),
               pre_tokenizers.Punctuation(),
           ]    )
       __lowerCamelCase		:							int		 =						decoders.Metaspace(replacement=_UpperCAmelCase						,				add_prefix_space=_UpperCAmelCase    )

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

       __lowerCamelCase		:							str		 =						{
           'model': 'SentencePieceUnigram',
           'replacement': replacement,
           'add_prefix_space': add_prefix_space,
       }

       super().__init__(_UpperCAmelCase						,				_UpperCAmelCase    )




      def 					_snake_case     (    self:	str						,				a:	Union[str, List[str]]						,				a:	int = 8000						,				a:	bool = True						,				):
       __lowerCamelCase		:							int		 =						trainers.UnigramTrainer(
           vocab_size=_UpperCAmelCase						,				special_tokens=self.special_tokens_list						,				show_progress=_UpperCAmelCase						,				)

       if isinstance(_UpperCAmelCase						,				_UpperCAmelCase    ):
        __lowerCamelCase		:							Union[str, Any]		 =						[files]
       self._tokenizer.train(_UpperCAmelCase						,				trainer=_UpperCAmelCase    )

       self.add_unk_id()




      def 					_snake_case     (    self:	Optional[Any]						,				a:	Union[Iterator[str], Iterator[Iterator[str]]]						,				a:	int = 8000						,				a:	bool = True						,				):
       __lowerCamelCase		:							Tuple		 =						trainers.UnigramTrainer(
           vocab_size=_UpperCAmelCase						,				special_tokens=self.special_tokens_list						,				show_progress=_UpperCAmelCase						,				)

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

       self.add_unk_id()




      def 					_snake_case     (    self:	Any    ):
       __lowerCamelCase		:							Optional[Any]		 =						json.loads(self._tokenizer.to_str()    )

       __lowerCamelCase		:							Any		 =						self.special_tokens['unk']['id']

       __lowerCamelCase		:							int		 =						Tokenizer.from_str(json.dumps(_UpperCAmelCase    )    )





def 				UpperCamelCase__					(  SCREAMING_SNAKE_CASE__						):
 __lowerCamelCase		:							str		 =						0
 __lowerCamelCase		:							Tuple		 =						len(SCREAMING_SNAKE_CASE__						)

 for i in range(n - 1						):
  for j in range(i + 1      ,	SCREAMING_SNAKE_CASE__						):
   if arr[i] > arr[j]:
    num_inversions += 1

 return num_inversions
def 				UpperCamelCase__					(  SCREAMING_SNAKE_CASE__						):
 if len(SCREAMING_SNAKE_CASE__						) <= 1:
  return arr, 0
 __lowerCamelCase		:							Optional[int]		 =						len(SCREAMING_SNAKE_CASE__						) // 2
 __lowerCamelCase		:							Union[str, Any]		 =						arr[0:mid]
 __lowerCamelCase		:							List[Any]		 =						arr[mid:]

 __lowerCamelCase ,					__lowerCamelCase		:							Any		 =						count_inversions_recursive(SCREAMING_SNAKE_CASE__						)
 __lowerCamelCase ,					__lowerCamelCase		:							List[str]		 =						count_inversions_recursive(SCREAMING_SNAKE_CASE__						)
 __lowerCamelCase ,					__lowerCamelCase		:							Dict		 =						_count_cross_inversions(SCREAMING_SNAKE_CASE__      ,	SCREAMING_SNAKE_CASE__						)

 __lowerCamelCase		:							List[str]		 =						inversion_p + inversions_q + cross_inversions
 return c, num_inversions
def 				UpperCamelCase__					(  SCREAMING_SNAKE_CASE__      ,	SCREAMING_SNAKE_CASE__						):
 __lowerCamelCase		:							Optional[int]		 =						[]
 __lowerCamelCase		:							List[Any]		 =						0
 while i < len(SCREAMING_SNAKE_CASE__						) and j < len(SCREAMING_SNAKE_CASE__						):
  if p[i] > q[j]:
   # if P[1] > Q[j], then P[k] > Q[k] for all  i < k <= len(P)
   # These are all inversions. The claim emerges from the
   # property that P is sorted.
   num_inversion += len(SCREAMING_SNAKE_CASE__						) - i
   r.append(q[j]						)
   j += 1
  else:
   r.append(p[i]						)
   i += 1

 if i < len(SCREAMING_SNAKE_CASE__						):
  r.extend(p[i:]						)
 else:
  r.extend(q[j:]						)

 return r, num_inversion
def 				UpperCamelCase__					(  ):
 __lowerCamelCase		:							Optional[int]		 =						[10, 2, 1, 5, 5, 2, 11]

 # this arr has 8 inversions:
 # (10, 2), (10, 1), (10, 5), (10, 5), (10, 2), (2, 1), (5, 2), (5, 2)

 __lowerCamelCase		:							Optional[Any]		 =						count_inversions_bf(SCREAMING_SNAKE_CASE__						)
 __lowerCamelCase ,					__lowerCamelCase		:							Optional[Any]		 =						count_inversions_recursive(SCREAMING_SNAKE_CASE__						)

 assert num_inversions_bf == num_inversions_recursive == 8

 print('number of inversions = '      ,	SCREAMING_SNAKE_CASE__						)

 # testing an array with zero inversion (a sorted arr_1)

 arr_a.sort()
 __lowerCamelCase		:							Optional[Any]		 =						count_inversions_bf(SCREAMING_SNAKE_CASE__						)
 __lowerCamelCase ,					__lowerCamelCase		:							int		 =						count_inversions_recursive(SCREAMING_SNAKE_CASE__						)

 assert num_inversions_bf == num_inversions_recursive == 0
 print('number of inversions = '      ,	SCREAMING_SNAKE_CASE__						)

 # an empty list should also have zero inversions
 __lowerCamelCase		:							List[str]		 =						[]
 __lowerCamelCase		:							Dict		 =						count_inversions_bf(SCREAMING_SNAKE_CASE__						)
 __lowerCamelCase ,					__lowerCamelCase		:							Dict		 =						count_inversions_recursive(SCREAMING_SNAKE_CASE__						)

 assert num_inversions_bf == num_inversions_recursive == 0
 print('number of inversions = '      ,	SCREAMING_SNAKE_CASE__						)


if __name__ == "__main__":
       main()

