






"""simple docstring"""





import itertools
import json
import os
import unittest

from transformers import AddedToken, RobertaTokenizer, RobertaTokenizerFast
from transformers.models.roberta.tokenization_roberta import VOCAB_FILES_NAMES
from transformers.testing_utils import require_tokenizers, slow

from ...test_tokenization_common import TokenizerTesterMixin
@require_tokenizers
class    __lowerCamelCase    (  UpperCamelCase_							,	unittest.TestCase  ):
   a      :				Optional[int] 						=RobertaTokenizer
   a      :				List[str] 						=RobertaTokenizerFast
   a      :				List[Any] 						=True
   a      :				List[str] 						={"""cls_token""": """<s>"""}

   def 						SCREAMING_SNAKE_CASE__ (					self      )		->       Tuple:
        super().setUp()

        # Adapted from Sennrich et al. 2015 and https://github.com/rsennrich/subword-nmt
        UpperCamelCase__         =    [
            """l""",
            """o""",
            """w""",
            """e""",
            """r""",
            """s""",
            """t""",
            """i""",
            """d""",
            """n""",
            """\u0120""",
            """\u0120l""",
            """\u0120n""",
            """\u0120lo""",
            """\u0120low""",
            """er""",
            """\u0120lowest""",
            """\u0120newer""",
            """\u0120wider""",
            """<unk>""",
        ]
        UpperCamelCase__         =    dict(zip(_a ,				range(len(_a      )      )      )      )
        UpperCamelCase__         =    ["""#version: 0.2""", """\u0120 l""", """\u0120l o""", """\u0120lo w""", """e r""", """"""]
        UpperCamelCase__         =    {"""unk_token""": """<unk>"""}

        UpperCamelCase__         =    os.path.join(self.tmpdirname ,				VOCAB_FILES_NAMES['vocab_file']      )
        UpperCamelCase__         =    os.path.join(self.tmpdirname ,				VOCAB_FILES_NAMES['merges_file']      )
        with open(self.vocab_file ,				'w' ,				encoding='utf-8'      ) as fp:
             fp.write(json.dumps(_a      ) + '\n'      )
        with open(self.merges_file ,				'w' ,				encoding='utf-8'      ) as fp:
             fp.write('\n'.join(_a      )      )

   def 						SCREAMING_SNAKE_CASE__ (					self ,				**snake_case_      )		->       Union[str, Any]:
        kwargs.update(self.special_tokens_map      )
        return self.tokenizer_class.from_pretrained(self.tmpdirname ,				**_a      )

   def 						SCREAMING_SNAKE_CASE__ (					self ,				**snake_case_      )		->       Union[str, Any]:
        kwargs.update(self.special_tokens_map      )
        return RobertaTokenizerFast.from_pretrained(self.tmpdirname ,				**_a      )

   def 						SCREAMING_SNAKE_CASE__ (					self ,				snake_case_      )		->       Optional[int]:
        UpperCamelCase__         =    """lower newer"""
        UpperCamelCase__         =    """lower newer"""
        return input_text, output_text

   def 						SCREAMING_SNAKE_CASE__ (					self      )		->       List[Any]:
        UpperCamelCase__         =    self.tokenizer_class(self.vocab_file ,				self.merges_file ,				**self.special_tokens_map      )
        UpperCamelCase__         =    """lower newer"""
        UpperCamelCase__         =    ["""l""", """o""", """w""", """er""", """\u0120""", """n""", """e""", """w""", """er"""]
        UpperCamelCase__         =    tokenizer.tokenize(_a      )  # , add_prefix_space=True)
        self.assertListEqual(_a ,				_a      )

        UpperCamelCase__         =    tokens + [tokenizer.unk_token]
        UpperCamelCase__         =    [0, 1, 2, 15, 10, 9, 3, 2, 15, 19]
        self.assertListEqual(tokenizer.convert_tokens_to_ids(_a      ) ,				_a      )

   def 						SCREAMING_SNAKE_CASE__ (					self      )		->       List[str]:
        UpperCamelCase__         =    self.get_tokenizer()

        self.assertListEqual(tokenizer.encode('Hello world!' ,				add_special_tokens=_a      ) ,				[0, 3_1414, 232, 328, 2]      )
        self.assertListEqual(
            tokenizer.encode('Hello world! cécé herlolip 418' ,				add_special_tokens=_a      ) ,				[0, 3_1414, 232, 328, 740, 1140, 1_2695, 69, 4_6078, 1588, 2] ,				)

   @slow
   def 						SCREAMING_SNAKE_CASE__ (					self      )		->       int:
        UpperCamelCase__         =    self.tokenizer_class.from_pretrained('roberta-base'      )

        UpperCamelCase__         =    tokenizer.encode('sequence builders' ,				add_special_tokens=_a      )
        UpperCamelCase__         =    tokenizer.encode('multi-sequence build' ,				add_special_tokens=_a      )

        UpperCamelCase__         =    tokenizer.encode(
            'sequence builders' ,				add_special_tokens=_a ,				add_prefix_space=_a      )
        UpperCamelCase__         =    tokenizer.encode(
            'sequence builders' ,				'multi-sequence build' ,				add_special_tokens=_a ,				add_prefix_space=_a      )

        UpperCamelCase__         =    tokenizer.build_inputs_with_special_tokens(_a      )
        UpperCamelCase__         =    tokenizer.build_inputs_with_special_tokens(_a ,				_a      )

        assert encoded_sentence == encoded_text_from_decode
        assert encoded_pair == encoded_pair_from_decode

   def 						SCREAMING_SNAKE_CASE__ (					self      )		->       Any:
        UpperCamelCase__         =    self.get_tokenizer()

        UpperCamelCase__         =    """Encode this sequence."""
        UpperCamelCase__         =    tokenizer.byte_encoder[""" """.encode('utf-8'      )[0]]

        # Testing encoder arguments
        UpperCamelCase__         =    tokenizer.encode(_a ,				add_special_tokens=_a ,				add_prefix_space=_a      )
        UpperCamelCase__         =    tokenizer.convert_ids_to_tokens(encoded[0]      )[0]
        self.assertNotEqual(_a ,				_a      )

        UpperCamelCase__         =    tokenizer.encode(_a ,				add_special_tokens=_a ,				add_prefix_space=_a      )
        UpperCamelCase__         =    tokenizer.convert_ids_to_tokens(encoded[0]      )[0]
        self.assertEqual(_a ,				_a      )

        tokenizer.add_special_tokens({'bos_token': '<s>'}      )
        UpperCamelCase__         =    tokenizer.encode(_a ,				add_special_tokens=_a      )
        UpperCamelCase__         =    tokenizer.convert_ids_to_tokens(encoded[1]      )[0]
        self.assertNotEqual(_a ,				_a      )

        # Testing spaces after special tokens
        UpperCamelCase__         =    """<mask>"""
        tokenizer.add_special_tokens(
            {'mask_token': AddedToken(_a ,				lstrip=_a ,				rstrip=_a      )}      )  # mask token has a left space
        UpperCamelCase__         =    tokenizer.convert_tokens_to_ids(_a      )

        UpperCamelCase__         =    """Encode <mask> sequence"""
        UpperCamelCase__         =    """Encode <mask>sequence"""

        UpperCamelCase__         =    tokenizer.encode(_a      )
        UpperCamelCase__         =    encoded.index(_a      )
        UpperCamelCase__         =    tokenizer.convert_ids_to_tokens(encoded[mask_loc + 1]      )[0]
        self.assertEqual(_a ,				_a      )

        UpperCamelCase__         =    tokenizer.encode(_a      )
        UpperCamelCase__         =    encoded.index(_a      )
        UpperCamelCase__         =    tokenizer.convert_ids_to_tokens(encoded[mask_loc + 1]      )[0]
        self.assertNotEqual(_a ,				_a      )

   def 						SCREAMING_SNAKE_CASE__ (					self      )		->       Union[str, Any]:
        pass

   def 						SCREAMING_SNAKE_CASE__ (					self      )		->       Dict:


        for tokenizer, pretrained_name, kwargs in self.tokenizers_list:
             with self.subTest(F'{tokenizer.__class__.__name__} ({pretrained_name})'      ):
                  UpperCamelCase__         =    self.rust_tokenizer_class.from_pretrained(_a ,				**_a      )
                  UpperCamelCase__         =    self.tokenizer_class.from_pretrained(_a ,				**_a      )
                  UpperCamelCase__         =    """A, <mask> AllenNLP sentence."""
                  UpperCamelCase__         =    tokenizer_r.encode_plus(_a ,				add_special_tokens=_a ,				return_token_type_ids=_a      )
                  UpperCamelCase__         =    tokenizer_p.encode_plus(_a ,				add_special_tokens=_a ,				return_token_type_ids=_a      )

                  # token_type_ids should put 0 everywhere
                  self.assertEqual(sum(tokens_r['token_type_ids']      ) ,				sum(tokens_p['token_type_ids']      )      )

                  # attention_mask should put 1 everywhere, so sum over length should be 1
                  self.assertEqual(
                      sum(tokens_r['attention_mask']      ) / len(tokens_r['attention_mask']      ) ,				sum(tokens_p['attention_mask']      ) / len(tokens_p['attention_mask']      ) ,				)

                  UpperCamelCase__         =    tokenizer_r.convert_ids_to_tokens(tokens_r['input_ids']      )
                  UpperCamelCase__         =    tokenizer_p.convert_ids_to_tokens(tokens_p['input_ids']      )

                  # Rust correctly handles the space before the mask while python doesnt
                  self.assertSequenceEqual(tokens_p['input_ids'] ,				[0, 250, 6, 5_0264, 3823, 487, 2_1992, 3645, 4, 2]      )
                  self.assertSequenceEqual(tokens_r['input_ids'] ,				[0, 250, 6, 5_0264, 3823, 487, 2_1992, 3645, 4, 2]      )

                  self.assertSequenceEqual(
                      _a ,				['<s>', 'A', ',', '<mask>', 'ĠAllen', 'N', 'LP', 'Ġsentence', '.', '</s>']      )
                  self.assertSequenceEqual(
                      _a ,				['<s>', 'A', ',', '<mask>', 'ĠAllen', 'N', 'LP', 'Ġsentence', '.', '</s>']      )

   def 						SCREAMING_SNAKE_CASE__ (					self      )		->       Tuple:


        for trim_offsets, add_prefix_space in itertools.product([True, False] ,				repeat=2      ):
             UpperCamelCase__         =    self.rust_tokenizer_class.from_pretrained(
                 self.tmpdirname ,				use_fast=_a ,				add_prefix_space=_a ,				trim_offsets=_a      )

             UpperCamelCase__         =    json.loads(tokenizer_r.backend_tokenizer.pre_tokenizer.__getstate__()      )
             UpperCamelCase__         =    json.loads(tokenizer_r.backend_tokenizer.post_processor.__getstate__()      )

             self.assertEqual(pre_tokenizer_state['add_prefix_space'] ,				_a      )

             self.assertEqual(post_processor_state['add_prefix_space'] ,				_a      )
             self.assertEqual(post_processor_state['trim_offsets'] ,				_a      )







   def 						SCREAMING_SNAKE_CASE__ (					self      )		->       int:


        for tokenizer, pretrained_name, kwargs in self.tokenizers_list:
             with self.subTest(F'{tokenizer.__class__.__name__} ({pretrained_name})'      ):
                  UpperCamelCase__         =    """hello"""  # `hello` is a token in the vocabulary of `pretrained_name`
                  UpperCamelCase__         =    F'{text_of_1_token} {text_of_1_token}'

                  UpperCamelCase__         =    self.rust_tokenizer_class.from_pretrained(
                      _a ,				use_fast=_a ,				add_prefix_space=_a ,				trim_offsets=_a      )
                  UpperCamelCase__         =    tokenizer_r(_a ,				return_offsets_mapping=_a ,				add_special_tokens=_a      )
                  self.assertEqual(encoding.offset_mapping[0] ,				(0, len(_a      ))      )
                  self.assertEqual(
                      encoding.offset_mapping[1] ,				(len(_a      ) + 1, len(_a      ) + 1 + len(_a      )) ,				)

                  UpperCamelCase__         =    self.rust_tokenizer_class.from_pretrained(
                      _a ,				use_fast=_a ,				add_prefix_space=_a ,				trim_offsets=_a      )
                  UpperCamelCase__         =    tokenizer_r(_a ,				return_offsets_mapping=_a ,				add_special_tokens=_a      )
                  self.assertEqual(encoding.offset_mapping[0] ,				(0, len(_a      ))      )
                  self.assertEqual(
                      encoding.offset_mapping[1] ,				(len(_a      ) + 1, len(_a      ) + 1 + len(_a      )) ,				)

                  UpperCamelCase__         =    self.rust_tokenizer_class.from_pretrained(
                      _a ,				use_fast=_a ,				add_prefix_space=_a ,				trim_offsets=_a      )
                  UpperCamelCase__         =    tokenizer_r(_a ,				return_offsets_mapping=_a ,				add_special_tokens=_a      )
                  self.assertEqual(encoding.offset_mapping[0] ,				(0, len(_a      ))      )
                  self.assertEqual(
                      encoding.offset_mapping[1] ,				(len(_a      ), len(_a      ) + 1 + len(_a      )) ,				)

                  UpperCamelCase__         =    self.rust_tokenizer_class.from_pretrained(
                      _a ,				use_fast=_a ,				add_prefix_space=_a ,				trim_offsets=_a      )
                  UpperCamelCase__         =    tokenizer_r(_a ,				return_offsets_mapping=_a ,				add_special_tokens=_a      )
                  self.assertEqual(encoding.offset_mapping[0] ,				(0, len(_a      ))      )
                  self.assertEqual(
                      encoding.offset_mapping[1] ,				(len(_a      ), len(_a      ) + 1 + len(_a      )) ,				)

                  UpperCamelCase__         =    F' {text}'

                  # tokenizer_r = self.rust_tokenizer_class.from_pretrained(
                  #     pretrained_name, use_fast=True, add_prefix_space=True, trim_offsets=True
                  # )
                  # encoding = tokenizer_r(text, return_offsets_mapping=True, add_special_tokens=False)
                  # self.assertEqual(encoding.offset_mapping[0], (1, 1 + len(text_of_1_token)))
                  # self.assertEqual(
                  #     encoding.offset_mapping[1],
                  #     (1 + len(text_of_1_token) + 1, 1 + len(text_of_1_token) + 1 + len(text_of_1_token)),
                  # )

                  UpperCamelCase__         =    self.rust_tokenizer_class.from_pretrained(
                      _a ,				use_fast=_a ,				add_prefix_space=_a ,				trim_offsets=_a      )
                  UpperCamelCase__         =    tokenizer_r(_a ,				return_offsets_mapping=_a ,				add_special_tokens=_a      )
                  self.assertEqual(encoding.offset_mapping[0] ,				(1, 1 + len(_a      ))      )
                  self.assertEqual(
                      encoding.offset_mapping[1] ,				(1 + len(_a      ) + 1, 1 + len(_a      ) + 1 + len(_a      )) ,				)

                  UpperCamelCase__         =    self.rust_tokenizer_class.from_pretrained(
                      _a ,				use_fast=_a ,				add_prefix_space=_a ,				trim_offsets=_a      )
                  UpperCamelCase__         =    tokenizer_r(_a ,				return_offsets_mapping=_a ,				add_special_tokens=_a      )
                  self.assertEqual(encoding.offset_mapping[0] ,				(0, 1 + len(_a      ))      )
                  self.assertEqual(
                      encoding.offset_mapping[1] ,				(1 + len(_a      ), 1 + len(_a      ) + 1 + len(_a      )) ,				)

                  UpperCamelCase__         =    self.rust_tokenizer_class.from_pretrained(
                      _a ,				use_fast=_a ,				add_prefix_space=_a ,				trim_offsets=_a      )
                  UpperCamelCase__         =    tokenizer_r(_a ,				return_offsets_mapping=_a ,				add_special_tokens=_a      )
                  self.assertEqual(encoding.offset_mapping[0] ,				(0, 1 + len(_a      ))      )
                  self.assertEqual(
                      encoding.offset_mapping[1] ,				(1 + len(_a      ), 1 + len(_a      ) + 1 + len(_a      )) ,				)












"""simple docstring"""





from collections import defaultdict
from math import ceil, sqrt







def   lowerCAmelCase_( SCREAMING_SNAKE_CASE = 1_00_00_00 ,	SCREAMING_SNAKE_CASE = 10					)					->	int:
    """simple docstring"""

    UpperCamelCase__         =    defaultdict(SCREAMING_SNAKE_CASE					)

    for outer_width in range(3 ,	(t_limit // 4) + 2					):
        if outer_width * outer_width > t_limit:
            UpperCamelCase__         =    max(
                ceil(sqrt(outer_width * outer_width - t_limit					)					) ,	1					)
        else:
            UpperCamelCase__         =    1

        hole_width_lower_bound += (outer_width - hole_width_lower_bound) % 2

        for hole_width in range(SCREAMING_SNAKE_CASE ,	outer_width - 1 ,	2					):
            count[outer_width * outer_width - hole_width * hole_width] += 1

    return sum(1 for n in count.values() if 1 <= n <= 10					)


if __name__ == "__main__":
  print(F"""{solution() = }""")




