




"""simple docstring"""






import json
import os
import re
import shutil
import tempfile
import unittest
from typing import Tuple

from transformers import AddedToken, BatchEncoding, PerceiverTokenizer
from transformers.utils import cached_property, is_tf_available, is_torch_available

from ...test_tokenization_common import TokenizerTesterMixin


if is_torch_available():
			lowercase__			=		"""pt"""
elif is_tf_available():
			lowercase__			=		"""tf"""
else:
			lowercase__			=		"""jax"""






class lowerCAmelCase__      (	lowercase,      unittest.TestCase		):






			'''simple docstring'''



			lowerCamelCase__ =     PerceiverTokenizer
			lowerCamelCase__ =     False
			def    A_       (    self    ):
							super().setUp()
							_lowerCamelCase	:     Optional[Any]       =       PerceiverTokenizer()
							tokenizer.save_pretrained(self.tmpdirname    )
			@cached_property
			def    A_       (    self    ):
							return PerceiverTokenizer.from_pretrained('deepmind/language-perceiver'    )
			def    A_       (    self    , **lowercase    ):
							return self.tokenizer_class.from_pretrained(self.tmpdirname    , **lowercase    )
			def    A_       (    self    , lowercase    , lowercase=False    , lowercase=20    , lowercase=5    ):
							# XXX The default common tokenizer tests assume that every ID is decodable on its own.
							# This assumption is invalid for Perceiver because single bytes might not be
							# valid utf-8 (byte 128 for instance).
							# Here we're overriding the smallest possible method to provide
							# a clean sequence without making the same assumption.

							_lowerCamelCase	:     str       =       []
							for i in range(len(lowercase    )    ):
											try:
															_lowerCamelCase	:     List[Any]       =       tokenizer.decode([i]    , clean_up_tokenization_spaces=lowercase    )
											except UnicodeDecodeError:
															pass
											toks.append((i, tok)    )

							_lowerCamelCase	:     int       =       list(filter(lambda lowercase    : re.match(r'^[ a-zA-Z]+$'    , t[1]    )    , lowercase    )    )
							_lowerCamelCase	:     Optional[int]       =       list(filter(lambda lowercase    : [t[0]] == tokenizer.encode(t[1]    , add_special_tokens=lowercase    )    , lowercase    )    )
							if max_length is not None and len(lowercase    ) > max_length:
											_lowerCamelCase	:     List[Any]       =       toks[:max_length]
							if min_length is not None and len(lowercase    ) < min_length and len(lowercase    ) > 0:
											while len(lowercase    ) < min_length:
															_lowerCamelCase	:     Optional[Any]       =       toks + toks
        # toks_str = [t[1] for t in toks]
							_lowerCamelCase	:     Optional[Any]       =       [t[0] for t in toks]

							# Ensure consistency
							_lowerCamelCase	:     Any       =       tokenizer.decode(lowercase    , clean_up_tokenization_spaces=lowercase    )
							if " " not in output_txt and len(lowercase    ) > 1:
											_lowerCamelCase	:     Tuple       =       (
											    tokenizer.decode([toks_ids[0]]    , clean_up_tokenization_spaces=lowercase    )
											    + ' '
											    + tokenizer.decode(toks_ids[1:]    , clean_up_tokenization_spaces=lowercase    )
											)
							if with_prefix_space:
											_lowerCamelCase	:     int       =       ' ' + output_txt
							_lowerCamelCase	:     List[Any]       =       tokenizer.encode(lowercase    , add_special_tokens=lowercase    )
							return output_txt, output_ids
			def    A_       (    self    ):
							_lowerCamelCase	:     Tuple       =       self.perceiver_tokenizer
							_lowerCamelCase	:     Tuple       =       'Unicode €.'
							_lowerCamelCase	:     Tuple       =       tokenizer(lowercase    )
							_lowerCamelCase	:     List[str]       =       [4, 91, 116, 111, 105, 117, 106, 107, 38, 232, 136, 178, 52, 5]
							self.assertEqual(encoded['input_ids']    , lowercase    )

							# decoding
							_lowerCamelCase	:     List[Any]       =       tokenizer.decode(lowercase    )
							self.assertEqual(lowercase    , '[CLS]Unicode €.[SEP]'    )

							_lowerCamelCase	:     List[str]       =       tokenizer('e è é ê ë'    )
							_lowerCamelCase	:     Optional[int]       =       [4, 107, 38, 201, 174, 38, 201, 175, 38, 201, 176, 38, 201, 177, 5]
							self.assertEqual(encoded['input_ids']    , lowercase    )
							# decoding
							_lowerCamelCase	:     Any       =       tokenizer.decode(lowercase    )
							self.assertEqual(lowercase    , '[CLS]e è é ê ë[SEP]'    )

							# encode/decode, but with `encode` instead of `__call__`
							self.assertEqual(tokenizer.decode(tokenizer.encode('e è é ê ë'    )    )    , '[CLS]e è é ê ë[SEP]'    )
			def    A_       (    self    ):
							_lowerCamelCase	:     Tuple       =       self.perceiver_tokenizer
							_lowerCamelCase	:     Union[str, Any]       =       ['A long paragraph for summarization.', 'Another paragraph for summarization.']
							# fmt: off
							_lowerCamelCase	:     int       =       [4, 71, 38, 114, 117, 116, 109, 38, 118, 103, 120, 103, 109, 120, 103, 118, 110, 38, 108, 117, 120, 38, 121, 123, 115, 115, 103, 120, 111, 128, 103, 122, 111, 117, 116, 52, 5, 0]
							# fmt: on
							_lowerCamelCase	:     Optional[Any]       =       tokenizer(lowercase    , padding=lowercase    , return_tensors=lowercase    )
							self.assertIsInstance(lowercase    , lowercase    )

							if FRAMEWORK != "jax":
											_lowerCamelCase	:     Dict       =       list(batch.input_ids.numpy()[0]    )
							else:
											_lowerCamelCase	:     int       =       list(batch.input_ids.tolist()[0]    )

							self.assertListEqual(lowercase    , lowercase    )

							self.assertEqual((2, 38)    , batch.input_ids.shape    )
							self.assertEqual((2, 38)    , batch.attention_mask.shape    )
			def    A_       (    self    ):
							_lowerCamelCase	:     List[str]       =       self.perceiver_tokenizer
							_lowerCamelCase	:     Tuple       =       ['A long paragraph for summarization.', 'Another paragraph for summarization.']
							_lowerCamelCase	:     Tuple       =       tokenizer(lowercase    , padding=lowercase    , return_tensors=lowercase    )
							# check if input_ids are returned and no decoder_input_ids
							self.assertIn('input_ids'    , lowercase    )
							self.assertIn('attention_mask'    , lowercase    )
							self.assertNotIn('decoder_input_ids'    , lowercase    )
							self.assertNotIn('decoder_attention_mask'    , lowercase    )
			def    A_       (    self    ):
							_lowerCamelCase	:     Any       =       self.perceiver_tokenizer
							_lowerCamelCase	:     int       =       [
							    'Summary of the text.',
							    'Another summary.',
							]
							_lowerCamelCase	:     Optional[Any]       =       tokenizer(
							    text_target=lowercase    , max_length=32    , padding='max_length'    , truncation=lowercase    , return_tensors=lowercase    )
							self.assertEqual(32    , targets['input_ids'].shape[1]    )
			def    A_       (    self    ):
							# safety check on max_len default value so we are sure the test works
							_lowerCamelCase	:     Union[str, Any]       =       self.get_tokenizers()
							for tokenizer in tokenizers:
											with self.subTest(F'''{tokenizer.__class__.__name__}'''    ):
															self.assertNotEqual(tokenizer.model_max_length    , 42    )

        # Now let's start the test
							_lowerCamelCase	:     Dict       =       self.get_tokenizers()
							for tokenizer in tokenizers:
											with self.subTest(F'''{tokenizer.__class__.__name__}'''    ):
															# Isolate this from the other tests because we save additional tokens/etc
															_lowerCamelCase	:     Optional[int]       =       tempfile.mkdtemp()

															_lowerCamelCase	:     Union[str, Any]       =       ' He is very happy, UNwant\u00E9d,running'
															_lowerCamelCase	:     int       =       tokenizer.encode(lowercase    , add_special_tokens=lowercase    )
															tokenizer.save_pretrained(lowercase    )

															_lowerCamelCase	:     Union[str, Any]       =       tokenizer.__class__.from_pretrained(lowercase    )
															_lowerCamelCase	:     Union[str, Any]       =       after_tokenizer.encode(lowercase    , add_special_tokens=lowercase    )
															self.assertListEqual(lowercase    , lowercase    )

															shutil.rmtree(lowercase    )

							_lowerCamelCase	:     List[str]       =       self.get_tokenizers(model_max_length=42    )
							for tokenizer in tokenizers:
											with self.subTest(F'''{tokenizer.__class__.__name__}'''    ):
															# Isolate this from the other tests because we save additional tokens/etc
															_lowerCamelCase	:     str       =       tempfile.mkdtemp()

															_lowerCamelCase	:     Optional[int]       =       ' He is very happy, UNwant\u00E9d,running'
															tokenizer.add_tokens(['bim', 'bambam']    )
															_lowerCamelCase	:     int       =       tokenizer.additional_special_tokens
															additional_special_tokens.append('new_additional_special_token'    )
															tokenizer.add_special_tokens({'additional_special_tokens': additional_special_tokens}    )
															_lowerCamelCase	:     List[Any]       =       tokenizer.encode(lowercase    , add_special_tokens=lowercase    )
															tokenizer.save_pretrained(lowercase    )

															_lowerCamelCase	:     Optional[Any]       =       tokenizer.__class__.from_pretrained(lowercase    )
															_lowerCamelCase	:     Tuple       =       after_tokenizer.encode(lowercase    , add_special_tokens=lowercase    )
															self.assertListEqual(lowercase    , lowercase    )
															self.assertIn('new_additional_special_token'    , after_tokenizer.additional_special_tokens    )
															self.assertEqual(after_tokenizer.model_max_length    , 42    )

															_lowerCamelCase	:     List[str]       =       tokenizer.__class__.from_pretrained(lowercase    , model_max_length=43    )
															self.assertEqual(tokenizer.model_max_length    , 43    )

															shutil.rmtree(lowercase    )
			def    A_       (    self    ):
							_lowerCamelCase	:     Dict       =       []
							if self.test_slow_tokenizer:
											tokenizer_list.append((self.tokenizer_class, self.get_tokenizer())    )

							if self.test_rust_tokenizer:
											tokenizer_list.append((self.rust_tokenizer_class, self.get_rust_tokenizer())    )

							for tokenizer_class, tokenizer_utils in tokenizer_list:
											with tempfile.TemporaryDirectory() as tmp_dir:
															tokenizer_utils.save_pretrained(lowercase    )

															with open(os.path.join(lowercase    , 'special_tokens_map.json'    )    , encoding='utf-8'    ) as json_file:
																			_lowerCamelCase	:     List[str]       =       json.load(lowercase    )

															with open(os.path.join(lowercase    , 'tokenizer_config.json'    )    , encoding='utf-8'    ) as json_file:
																			_lowerCamelCase	:     List[Any]       =       json.load(lowercase    )

															_lowerCamelCase	:     Any       =       [F'''<extra_id_{i}>''' for i in range(125    )]

															_lowerCamelCase	:     Any       =       added_tokens_extra_ids + [
															    'an_additional_special_token'
															]
															_lowerCamelCase	:     List[Any]       =       added_tokens_extra_ids + [
															    'an_additional_special_token'
															]

															with open(os.path.join(lowercase    , 'special_tokens_map.json'    )    , 'w'    , encoding='utf-8'    ) as outfile:
																			json.dump(lowercase    , lowercase    )
															with open(os.path.join(lowercase    , 'tokenizer_config.json'    )    , 'w'    , encoding='utf-8'    ) as outfile:
																			json.dump(lowercase    , lowercase    )

															# the following checks allow us to verify that our test works as expected, i.e. that the tokenizer takes
															# into account the new value of additional_special_tokens given in the "tokenizer_config.json" and
															# "special_tokens_map.json" files
															_lowerCamelCase	:     int       =       tokenizer_class.from_pretrained(
															    lowercase    , )
															self.assertIn(
															    'an_additional_special_token'    , tokenizer_without_change_in_init.additional_special_tokens    )
															self.assertEqual(
															    ['an_additional_special_token']    , tokenizer_without_change_in_init.convert_ids_to_tokens(
															        tokenizer_without_change_in_init.convert_tokens_to_ids(['an_additional_special_token']    )    )    , )

															# Now we test that we can change the value of additional_special_tokens in the from_pretrained
															_lowerCamelCase	:     Dict       =       added_tokens_extra_ids + [AddedToken('a_new_additional_special_token'    , lstrip=lowercase    )]
															_lowerCamelCase	:     List[str]       =       tokenizer_class.from_pretrained(
															    lowercase    , additional_special_tokens=lowercase    , )

															self.assertIn('a_new_additional_special_token'    , tokenizer.additional_special_tokens    )
															self.assertEqual(
															    ['a_new_additional_special_token']    , tokenizer.convert_ids_to_tokens(
															        tokenizer.convert_tokens_to_ids(['a_new_additional_special_token']    )    )    , )
			def    A_       (    self    ):
							_lowerCamelCase	:     List[Any]       =       self.perceiver_tokenizer
							self.assertEqual(tokenizer.decode([178]    )    , '�'    )
			def    A_       (    self    ):
							pass
			def    A_       (    self    ):
							pass
			def    A_       (    self    ):
							pass
			def    A_       (    self    ):
							pass






			def    A_       (    self    ):
							# The default common tokenizer tests uses invalid tokens for Perceiver that can only accept one-character
							# strings and special added tokens as tokens
							_lowerCamelCase	:     int       =       self.get_tokenizers(fast=lowercase    , do_lower_case=lowercase    )
							for tokenizer in tokenizers:
											with self.subTest(F'''{tokenizer.__class__.__name__}'''    ):
															_lowerCamelCase	:     Any       =       ['[CLS]', 't', 'h', 'i', 's', ' ', 'i', 's', ' ', 'a', ' ', 't', 'e', 's', 't', '[SEP]']
															_lowerCamelCase	:     int       =       tokenizer.convert_tokens_to_string(lowercase    )

															self.assertIsInstance(lowercase    , lowercase    )





"""simple docstring"""






from __future__ import annotations

from fractions import Fraction
from math import gcd, sqrt







def 	_snake_case     (							lowercase__						):
				_lowerCamelCase	:     int       =       int(number**0.5						)
				return number == sq * sq







def 	_snake_case     (							lowercase__				,       lowercase__				,       lowercase__				,       lowercase__				,       lowercase__				,       lowercase__						):
				_lowerCamelCase	:     int       =       x_num * y_den * z_den + y_num * x_den * z_den + z_num * x_den * y_den
				_lowerCamelCase	:     int       =       x_den * y_den * z_den
				_lowerCamelCase	:     int       =       gcd(lowercase__				,       lowercase__						)
				top //= hcf
				bottom //= hcf
				return top, bottom







def 	_snake_case     (							lowercase__ = 35						):
				_lowerCamelCase	:     set       =       set()
				_lowerCamelCase	:     int
				_lowerCamelCase	:     Fraction       =       Fraction(0						)
				_lowerCamelCase	:     tuple[int, int]

				for x_num in range(1				,       order + 1						):
								for x_den in range(x_num + 1				,       order + 1						):
												for y_num in range(1				,       order + 1						):
																for y_den in range(y_num + 1				,       order + 1						):
																				# n=1
																				_lowerCamelCase	:     int       =       x_num * y_den + x_den * y_num
																				_lowerCamelCase	:     List[Any]       =       x_den * y_den
																				_lowerCamelCase	:     int       =       gcd(lowercase__				,       lowercase__						)
																				z_num //= hcf
																				z_den //= hcf
																				if 0 < z_num < z_den <= order:
																								_lowerCamelCase	:     Optional[Any]       =       add_three(
																								    lowercase__				,       lowercase__				,       lowercase__				,       lowercase__				,       lowercase__				,       lowercase__						)
																								unique_s.add(lowercase__						)

																				# n=2
																				_lowerCamelCase	:     Tuple       =       (
																				    x_num * x_num * y_den * y_den + x_den * x_den * y_num * y_num
																				)
																				_lowerCamelCase	:     Dict       =       x_den * x_den * y_den * y_den
																				if is_sq(lowercase__						) and is_sq(lowercase__						):
																								_lowerCamelCase	:     Dict       =       int(sqrt(lowercase__						)						)
																								_lowerCamelCase	:     Optional[Any]       =       int(sqrt(lowercase__						)						)
																								_lowerCamelCase	:     List[Any]       =       gcd(lowercase__				,       lowercase__						)
																								z_num //= hcf
																								z_den //= hcf
																								if 0 < z_num < z_den <= order:
																												_lowerCamelCase	:     Union[str, Any]       =       add_three(
																												    lowercase__				,       lowercase__				,       lowercase__				,       lowercase__				,       lowercase__				,       lowercase__						)
																												unique_s.add(lowercase__						)

                    # n=-1
																				_lowerCamelCase	:     List[str]       =       x_num * y_num
																				_lowerCamelCase	:     int       =       x_den * y_num + x_num * y_den
																				_lowerCamelCase	:     Dict       =       gcd(lowercase__				,       lowercase__						)
																				z_num //= hcf
																				z_den //= hcf
																				if 0 < z_num < z_den <= order:
																								_lowerCamelCase	:     List[str]       =       add_three(
																								    lowercase__				,       lowercase__				,       lowercase__				,       lowercase__				,       lowercase__				,       lowercase__						)
																								unique_s.add(lowercase__						)

																				# n=2
																				_lowerCamelCase	:     Tuple       =       x_num * x_num * y_num * y_num
																				_lowerCamelCase	:     List[str]       =       (
																				    x_den * x_den * y_num * y_num + x_num * x_num * y_den * y_den
																				)
																				if is_sq(lowercase__						) and is_sq(lowercase__						):
																								_lowerCamelCase	:     Optional[int]       =       int(sqrt(lowercase__						)						)
																								_lowerCamelCase	:     Optional[int]       =       int(sqrt(lowercase__						)						)
																								_lowerCamelCase	:     Dict       =       gcd(lowercase__				,       lowercase__						)
																								z_num //= hcf
																								z_den //= hcf
																								if 0 < z_num < z_den <= order:
																												_lowerCamelCase	:     int       =       add_three(
																												    lowercase__				,       lowercase__				,       lowercase__				,       lowercase__				,       lowercase__				,       lowercase__						)
																												unique_s.add(lowercase__						)

				for num, den in unique_s:
								total += Fraction(lowercase__				,       lowercase__						)

				return total.denominator + total.numerator


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