

'''simple docstring'''





import os
from shutil import copyfile
from typing import List, Optional, Tuple

from ...tokenization_utils_fast import PreTrainedTokenizerFast
from ...utils import is_sentencepiece_available, logging


if is_sentencepiece_available():
							from .tokenization_pegasus import PegasusTokenizer
else:
							__snake_case	: Optional[int]       				=							None


__snake_case	: int       				=							logging.get_logger(__name__)


__snake_case	: Dict       				=							"▁"

__snake_case	: Optional[Any]       				=							{"vocab_file": "spiece.model", "tokenizer_file": "tokenizer.json"}

__snake_case	: Optional[int]       				=							{
    "vocab_file": {"google/pegasus-xsum": "https://huggingface.co/google/pegasus-xsum/resolve/main/spiece.model"},
    "tokenizer_file": {
        "google/pegasus-xsum": "https://huggingface.co/google/pegasus-xsum/resolve/main/tokenizer.json"
    },
}

__snake_case	: List[Any]       				=							{
    "google/pegasus-xsum": 512,
}
class        A  (	a ):
						__UpperCAmelCase				:	Any   =   VOCAB_FILES_NAMES
						__UpperCAmelCase				:	List[str]   =   PRETRAINED_VOCAB_FILES_MAP
						__UpperCAmelCase				:	List[Any]   =   PRETRAINED_POSITIONAL_EMBEDDINGS_SIZES
						__UpperCAmelCase				:	Dict   =   PegasusTokenizer
						__UpperCAmelCase				:	List[str]   =   ["""input_ids""", """attention_mask"""]





						def __init__(	self	,    snake_case_=None	,    snake_case_=None	,    snake_case_="<pad>"	,    snake_case_="</s>"	,    snake_case_="<unk>"	,    snake_case_="<mask_2>"	,    snake_case_="<mask_1>"	,    snake_case_=None	,    snake_case_=1_0_3	,    **snake_case_	,    )			->							List[str]:
										_a        =   offset

										if additional_special_tokens is not None:
														if not isinstance(snake_case_	,    snake_case_			):
																		raise TypeError(
																		    F'''additional_special_tokens should be of type {type(snake_case_			)}, but is'''
																		    F''' {type(snake_case_			)}'''			)

														_a        =   (
														    ([mask_token_sent] + additional_special_tokens)
														    if mask_token_sent not in additional_special_tokens and mask_token_sent is not None
														    else additional_special_tokens
														)
														# fill additional tokens with ..., <unk_token_102> in case not all additional tokens are already taken
														additional_special_tokens_extended += [
														    F'''<unk_{i}>''' for i in range(len(snake_case_			)	,    self.offset - 1			)
														]

														if len(set(snake_case_			)			) != len(snake_case_			):
																		raise ValueError(
																		    "Please make sure that the provided additional_special_tokens do not contain an incorrectly"
																		    F''' shifted list of <unk_x> tokens. Found {additional_special_tokens_extended}.'''			)
														_a        =   additional_special_tokens_extended
										else:
														_a        =   [mask_token_sent] if mask_token_sent is not None else []
														additional_special_tokens += [F'''<unk_{i}>''' for i in range(2	,    self.offset			)]

										super().__init__(
										    snake_case_	,    tokenizer_file=snake_case_	,    pad_token=snake_case_	,    eos_token=snake_case_	,    unk_token=snake_case_	,    mask_token=snake_case_	,    mask_token_sent=snake_case_	,    offset=snake_case_	,    additional_special_tokens=snake_case_	,    **snake_case_	,    )
										_a        =   vocab_file
										_a        =   False if not self.vocab_file else True





						def __lowerCAmelCase   (	self	,    snake_case_			)			->							Union[str, Any]:
										_a        =   set(self.all_special_ids			)  # call it once instead of inside list comp
										all_special_ids.remove(self.unk_token_id			)  # <unk> is only sometimes special

										if all_special_ids != set(range(len(self.additional_special_tokens			) + 3			)			):
														raise ValueError(
														    "There should be 3 special tokens: mask_token, pad_token, and eos_token +"
														    F''' {len(self.additional_special_tokens			)} additional_special_tokens, but got {all_special_ids}'''			)

										return [1 if x in all_special_ids else 0 for x in seq]





						def __lowerCAmelCase   (	self	,    snake_case_	,    snake_case_ = None	,    snake_case_ = False			)			->							Optional[int]:
										if already_has_special_tokens:
														return self._special_token_mask(snake_case_			)
										elif token_ids_a is None:
														return self._special_token_mask(snake_case_			) + [1]
										else:
														return self._special_token_mask(token_ids_a + token_ids_a			) + [1]





						def __lowerCAmelCase   (	self	,    snake_case_	,    snake_case_=None			)			->							int:
										if token_ids_a is None:
														return token_ids_a + [self.eos_token_id]
										# We don't expect to process pairs, but leave the pair logic for API consistency
										return token_ids_a + token_ids_a + [self.eos_token_id]





						def __lowerCAmelCase   (	self	,    snake_case_	,    snake_case_ = None			)			->							Any:
										if not self.can_save_slow_tokenizer:
														raise ValueError(
														    "Your fast tokenizer does not have the necessary information to save the vocabulary for a slow "
														    "tokenizer."			)

										if not os.path.isdir(snake_case_			):
														logger.error(F'''Vocabulary path ({save_directory}) should be a directory'''			)
														return
										_a        =   os.path.join(
										    snake_case_	,    (filename_prefix + "-" if filename_prefix else "") + VOCAB_FILES_NAMES["vocab_file"]			)

										if os.path.abspath(self.vocab_file			) != os.path.abspath(snake_case_			):
														copyfile(self.vocab_file	,    snake_case_			)

										return (out_vocab_file,)











"""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() = }")