import warnings

from transformers import AutoTokenizer
from transformers.utils import is_torch_available
from transformers.utils.generic import ExplicitEnum

from ...processing_utils import ProcessorMixin


if is_torch_available():
						import torch






class      __lowercase					(    _A    ):
						lowercase					 =     'char'
						lowercase					 =     'bpe'
						lowercase					 =     'wp'





A_      =      (DecodeType.CHARACTER, DecodeType.BPE, DecodeType.WORDPIECE)






class      __lowercase					(    _A    ):
						lowercase					 =     ['image_processor', 'char_tokenizer']
						lowercase					 =     'ViTImageProcessor'
						lowercase					 =     'MgpstrTokenizer'

						def __init__(	self				:      Dict							,							__lowerCamelCase				:      int=None							,							__lowerCamelCase				:      Tuple=None							,							**__lowerCamelCase				:      Optional[Any]   )							->		List[str]:


									'''simple docstring'''

									lowercase							=		None
									if "feature_extractor" in kwargs:
												warnings.warn(
												    '''The `feature_extractor` argument is deprecated and will be removed in v5, use `image_processor`'''
												    ''' instead.'''							,							__lowerCamelCase							,							)
												lowercase							=		kwargs.pop('''feature_extractor'''   )

									lowercase							=		image_processor if image_processor is not None else feature_extractor
									if image_processor is None:
												raise ValueError('''You need to specify an `image_processor`.'''   )
									if tokenizer is None:
												raise ValueError('''You need to specify a `tokenizer`.'''   )

									lowercase							=		tokenizer
									lowercase							=		AutoTokenizer.from_pretrained('''gpt2'''   )
									lowercase							=		AutoTokenizer.from_pretrained('''bert-base-uncased'''   )

									super().__init__(__lowerCamelCase							,							__lowerCamelCase   )

						def __call__(	self				:      str							,							__lowerCamelCase				:      Union[str, Any]=None							,							__lowerCamelCase				:      List[Any]=None							,							__lowerCamelCase				:      Union[str, Any]=None							,							**__lowerCamelCase				:      Any   )							->		List[str]:


									'''simple docstring'''

									if images is None and text is None:
												raise ValueError('''You need to specify either an `images` or `text` input to process.'''   )

									if images is not None:
												lowercase							=		self.image_processor(__lowerCamelCase							,							return_tensors=__lowerCamelCase							,							**__lowerCamelCase   )
									if text is not None:
												lowercase							=		self.char_tokenizer(__lowerCamelCase							,							return_tensors=__lowerCamelCase							,							**__lowerCamelCase   )

									if text is None:
												return inputs
									elif images is None:
												return encodings
									else:
												lowercase							=		encodings['''input_ids''']
												return inputs

						def        __a		(	self				:      Dict							,							__lowerCamelCase				:      List[Any]   )							->		List[Any]:


									'''simple docstring'''

									lowercase		,lowercase		,lowercase							=		sequences
									lowercase							=		char_preds.size(0   )

									lowercase		,lowercase							=		self._decode_helper(__lowerCamelCase							,							'''char'''   )
									lowercase		,lowercase							=		self._decode_helper(__lowerCamelCase							,							'''bpe'''   )
									lowercase		,lowercase							=		self._decode_helper(__lowerCamelCase							,							'''wp'''   )

									lowercase							=		[]
									lowercase							=		[]
									for i in range(__lowerCamelCase   ):
												lowercase							=		[char_scores[i], bpe_scores[i], wp_scores[i]]
												lowercase							=		[char_strs[i], bpe_strs[i], wp_strs[i]]
												lowercase							=		scores.index(max(__lowerCamelCase   )   )
												final_strs.append(strs[max_score_index]   )
												final_scores.append(scores[max_score_index]   )

									lowercase							=		{}
									lowercase							=		final_strs
									lowercase							=		final_scores
									lowercase							=		char_strs
									lowercase							=		bpe_strs
									lowercase							=		wp_strs
									return out

						def        __a		(	self				:      List[str]							,							__lowerCamelCase				:      int							,							__lowerCamelCase				:      int   )							->		Union[str, Any]:


									'''simple docstring'''

									if format == DecodeType.CHARACTER:
												lowercase							=		self.char_decode
												lowercase							=		1
												lowercase							=		'''[s]'''
									elif format == DecodeType.BPE:
												lowercase							=		self.bpe_decode
												lowercase							=		2
												lowercase							=		'''#'''
									elif format == DecodeType.WORDPIECE:
												lowercase							=		self.wp_decode
												lowercase							=		1_02
												lowercase							=		'''[SEP]'''
									else:
												raise ValueError(f'Format {format} is not supported.'   )

									lowercase		,lowercase							=		[], []
									lowercase							=		pred_logits.size(0   )
									lowercase							=		pred_logits.size(1   )
									lowercase		,lowercase							=		pred_logits.topk(1							,							dim=-1							,							largest=__lowerCamelCase							,							sorted=__lowerCamelCase   )
									lowercase							=		preds_index.view(-1							,							__lowerCamelCase   )[:, 1:]
									lowercase							=		decoder(__lowerCamelCase   )
									lowercase		,lowercase							=		torch.nn.functional.softmax(__lowerCamelCase							,							dim=2   ).max(dim=2   )
									lowercase							=		preds_max_prob[:, 1:]

									for index in range(__lowerCamelCase   ):
												lowercase							=		preds_str[index].find(__lowerCamelCase   )
												lowercase							=		preds_str[index][:pred_eos]
												lowercase							=		preds_index[index].cpu().tolist()
												lowercase							=		pred_index.index(__lowerCamelCase   ) if eos_token in pred_index else -1
												lowercase							=		preds_max_prob[index][: pred_eos_index + 1]
												lowercase							=		pred_max_prob.cumprod(dim=0   )[-1] if pred_max_prob.nelement() != 0 else 0.0
												dec_strs.append(__lowerCamelCase   )
												conf_scores.append(__lowerCamelCase   )

									return dec_strs, conf_scores

						def        __a		(	self				:      str							,							__lowerCamelCase				:      Dict   )							->		List[Any]:


									'''simple docstring'''

									lowercase							=		[seq.replace(''' '''							,							''''''   ) for seq in self.char_tokenizer.batch_decode(__lowerCamelCase   )]
									return decode_strs

						def        __a		(	self				:      Union[str, Any]							,							__lowerCamelCase				:      Tuple   )							->		str:


									'''simple docstring'''

									return self.bpe_tokenizer.batch_decode(__lowerCamelCase   )



						def        __a		(	self				:      List[str]							,							__lowerCamelCase				:      Tuple   )							->		Any:


									'''simple docstring'''

									lowercase							=		[seq.replace(''' '''							,							''''''   ) for seq in self.wp_tokenizer.batch_decode(__lowerCamelCase   )]
									return decode_strs






from __future__ import annotations

from fractions import Fraction
from math import gcd, sqrt






def        __UpperCAmelCase    (       UpperCAmelCase       )->       bool:



			"""simple docstring"""







			lowercase							=		int(number**0.5       )
			return number == sq * sq






def        __UpperCAmelCase    (       UpperCAmelCase,		UpperCAmelCase,		UpperCAmelCase,		UpperCAmelCase,		UpperCAmelCase,		UpperCAmelCase       )->       tuple[int, int]:



			"""simple docstring"""







			lowercase							=		x_num * y_den * z_den + y_num * x_den * z_den + z_num * x_den * y_den
			lowercase							=		x_den * y_den * z_den
			lowercase							=		gcd(UpperCAmelCase,		UpperCAmelCase       )
			top //= hcf
			bottom //= hcf
			return top, bottom






def        __UpperCAmelCase    (       UpperCAmelCase = 35       )->       int:



			"""simple docstring"""







			lowercase							=		set()
			lowercase							=		42
			lowercase							=		Fraction(0       )
			lowercase							=		42

			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
															lowercase							=		x_num * y_den + x_den * y_num
															lowercase							=		x_den * y_den
															lowercase							=		gcd(UpperCAmelCase,		UpperCAmelCase       )
															z_num //= hcf
															z_den //= hcf
															if 0 < z_num < z_den <= order:
																		lowercase							=		add_three(
																		    UpperCAmelCase,		UpperCAmelCase,		UpperCAmelCase,		UpperCAmelCase,		UpperCAmelCase,		UpperCAmelCase       )
																		unique_s.add(UpperCAmelCase       )

															# n=2
															lowercase							=		(
															    x_num * x_num * y_den * y_den + x_den * x_den * y_num * y_num
															)
															lowercase							=		x_den * x_den * y_den * y_den
															if is_sq(UpperCAmelCase       ) and is_sq(UpperCAmelCase       ):
																		lowercase							=		int(sqrt(UpperCAmelCase       )       )
																		lowercase							=		int(sqrt(UpperCAmelCase       )       )
																		lowercase							=		gcd(UpperCAmelCase,		UpperCAmelCase       )
																		z_num //= hcf
																		z_den //= hcf
																		if 0 < z_num < z_den <= order:
																					lowercase							=		add_three(
																					    UpperCAmelCase,		UpperCAmelCase,		UpperCAmelCase,		UpperCAmelCase,		UpperCAmelCase,		UpperCAmelCase       )
																					unique_s.add(UpperCAmelCase       )

                    # n=-1
															lowercase							=		x_num * y_num
															lowercase							=		x_den * y_num + x_num * y_den
															lowercase							=		gcd(UpperCAmelCase,		UpperCAmelCase       )
															z_num //= hcf
															z_den //= hcf
															if 0 < z_num < z_den <= order:
																		lowercase							=		add_three(
																		    UpperCAmelCase,		UpperCAmelCase,		UpperCAmelCase,		UpperCAmelCase,		UpperCAmelCase,		UpperCAmelCase       )
																		unique_s.add(UpperCAmelCase       )

															# n=2
															lowercase							=		x_num * x_num * y_num * y_num
															lowercase							=		(
															    x_den * x_den * y_num * y_num + x_num * x_num * y_den * y_den
															)
															if is_sq(UpperCAmelCase       ) and is_sq(UpperCAmelCase       ):
																		lowercase							=		int(sqrt(UpperCAmelCase       )       )
																		lowercase							=		int(sqrt(UpperCAmelCase       )       )
																		lowercase							=		gcd(UpperCAmelCase,		UpperCAmelCase       )
																		z_num //= hcf
																		z_den //= hcf
																		if 0 < z_num < z_den <= order:
																					lowercase							=		add_three(
																					    UpperCAmelCase,		UpperCAmelCase,		UpperCAmelCase,		UpperCAmelCase,		UpperCAmelCase,		UpperCAmelCase       )
																					unique_s.add(UpperCAmelCase       )

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

			return total.denominator + total.numerator


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





