


import warnings
from typing import List, Optional, Union

from ...image_utils import ImageInput
from ...processing_utils import ProcessorMixin
from ...tokenization_utils_base import BatchEncoding, PaddingStrategy, PreTokenizedInput, TextInput, TruncationStrategy
from ...utils import TensorType


class   a__	(						__SCREAMING_SNAKE_CASE    ):
       lowerCamelCase__:     str							    =     ["""image_processor""", """tokenizer"""]
       lowerCamelCase__:     Any							    =     """FlavaImageProcessor"""
       lowerCamelCase__:     List[Any]							    =     ("""BertTokenizer""", """BertTokenizerFast""")

       def __init__(   self      :     Optional[int]      ,							lowerCamelCase_      :     List[Any]=None      ,							lowerCamelCase_      :     int=None      ,							**lowerCamelCase_      :     Tuple    ):
            a_    :     Dict										=    None
            if "feature_extractor" in kwargs:
                 warnings.warn(
                     """The `feature_extractor` argument is deprecated and will be removed in v5, use `image_processor`"""
                     """ instead."""      ,							_a      ,							)
                 a_    :     List[str]										=    kwargs.pop("""feature_extractor"""    )

            a_    :     List[str]										=    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`."""    )

            super().__init__(_a      ,							_a    )
            a_    :     Optional[Any]										=    self.image_processor

       def __call__(   self      :     Tuple      ,							lowerCamelCase_      :     Optional[ImageInput] = None      ,							lowerCamelCase_      :     Optional[Union[TextInput, PreTokenizedInput, List[TextInput], List[PreTokenizedInput]]] = None      ,							lowerCamelCase_      :     bool = True      ,							lowerCamelCase_      :     Union[bool, str, PaddingStrategy] = False      ,							lowerCamelCase_      :     Union[bool, str, TruncationStrategy] = False      ,							lowerCamelCase_      :     Optional[int] = None      ,							lowerCamelCase_      :     int = 0      ,							lowerCamelCase_      :     Optional[int] = None      ,							lowerCamelCase_      :     Optional[bool] = None      ,							lowerCamelCase_      :     Optional[bool] = None      ,							lowerCamelCase_      :     Optional[bool] = None      ,							lowerCamelCase_      :     Optional[bool] = None      ,							lowerCamelCase_      :     bool = False      ,							lowerCamelCase_      :     bool = False      ,							lowerCamelCase_      :     bool = False      ,							lowerCamelCase_      :     bool = False      ,							lowerCamelCase_      :     bool = True      ,							lowerCamelCase_      :     Optional[Union[str, TensorType]] = None      ,							**lowerCamelCase_      :     Tuple      ,							):




            if text is None and images is None:
                 raise ValueError("""You have to specify either text or images. Both cannot be none."""    )

            if text is not None:
                 a_    :     Optional[int]										=    self.tokenizer(
                     text=_a      ,							add_special_tokens=_a      ,							padding=_a      ,							truncation=_a      ,							max_length=_a      ,							stride=_a      ,							pad_to_multiple_of=_a      ,							return_token_type_ids=_a      ,							return_attention_mask=_a      ,							return_overflowing_tokens=_a      ,							return_special_tokens_mask=_a      ,							return_offsets_mapping=_a      ,							return_length=_a      ,							verbose=_a      ,							return_tensors=_a      ,							**_a      ,							)
            if images is not None:
                 a_    :     Dict										=    self.image_processor(
                     _a      ,							return_image_mask=_a      ,							return_codebook_pixels=_a      ,							return_tensors=_a      ,							**_a      ,							)

            if text is not None and images is not None:
                 encoding.update(_a    )
                 return encoding
            elif text is not None:
                 return encoding
            else:
                 return BatchEncoding(data=dict(**_a    )      ,							tensor_type=_a    )

       def 						UpperCAmelCase(   self      :     Optional[int]      ,							*lowerCamelCase_      :     Tuple      ,							**lowerCamelCase_      :     int    ):
            return self.tokenizer.batch_decode(*_a      ,							**_a    )

       def 						UpperCAmelCase(   self      :     Union[str, Any]      ,							*lowerCamelCase_      :     List[Any]      ,							**lowerCamelCase_      :     List[Any]    ):
            return self.tokenizer.decode(*_a      ,							**_a    )

       @property
       def 						UpperCAmelCase(   self      :     Tuple    ):
            a_    :     Any										=    self.tokenizer.model_input_names
            a_    :     Union[str, Any]										=    self.image_processor.model_input_names
            return list(dict.fromkeys(tokenizer_input_names + image_processor_input_names    )    )

       @property
       def 						UpperCAmelCase(   self      :     str    ):
            warnings.warn(
                """`feature_extractor_class` is deprecated and will be removed in v5. Use `image_processor_class` instead."""      ,							_a      ,							)
            return self.image_processor_class

       @property
       def 						UpperCAmelCase(   self      :     Union[str, Any]    ):
            warnings.warn(
                """`feature_extractor` is deprecated and will be removed in v5. Use `image_processor` instead."""      ,							_a      ,							)
            return self.image_processor







from __future__ import annotations

from fractions import Fraction
from math import gcd, sqrt



def  _a			(						__UpperCamelCase ):
     a_    :     int										=    int(number**0.5 )
     return number == sq * sq



def  _a			(						__UpperCamelCase  ,  __UpperCamelCase  ,  __UpperCamelCase  ,  __UpperCamelCase  ,  __UpperCamelCase  ,  __UpperCamelCase ):
     a_    :     int										=    x_num * y_den * z_den + y_num * x_den * z_den + z_num * x_den * y_den
     a_    :     int										=    x_den * y_den * z_den
     a_    :     int										=    gcd(__UpperCamelCase  ,  __UpperCamelCase )
     top //= hcf
     bottom //= hcf
     return top, bottom



def  _a			(						__UpperCamelCase = 3_5 ):
     a_    :     set										=    set()
     a_    :     int
     a_    :     Fraction										=    Fraction(0 )
     a_    :     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
                         a_    :     int										=    x_num * y_den + x_den * y_num
                         a_    :     Optional[int]										=    x_den * y_den
                         a_    :     Optional[Any]										=    gcd(__UpperCamelCase  ,  __UpperCamelCase )
                         z_num //= hcf
                         z_den //= hcf
                         if 0 < z_num < z_den <= order:
                              a_    :     Optional[int]										=    add_three(
                                  __UpperCamelCase  ,  __UpperCamelCase  ,  __UpperCamelCase  ,  __UpperCamelCase  ,  __UpperCamelCase  ,  __UpperCamelCase )
                              unique_s.add(__UpperCamelCase )

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

                    # n=-1
                         a_    :     Union[str, Any]										=    x_num * y_num
                         a_    :     Tuple										=    x_den * y_num + x_num * y_den
                         a_    :     List[Any]										=    gcd(__UpperCamelCase  ,  __UpperCamelCase )
                         z_num //= hcf
                         z_den //= hcf
                         if 0 < z_num < z_den <= order:
                              a_    :     Union[str, Any]										=    add_three(
                                  __UpperCamelCase  ,  __UpperCamelCase  ,  __UpperCamelCase  ,  __UpperCamelCase  ,  __UpperCamelCase  ,  __UpperCamelCase )
                              unique_s.add(__UpperCamelCase )

                         # n=2
                         a_    :     Union[str, Any]										=    x_num * x_num * y_num * y_num
                         a_    :     Dict										=    (
                             x_den * x_den * y_num * y_num + x_num * x_num * y_den * y_den
                         )
                         if is_sq(__UpperCamelCase ) and is_sq(__UpperCamelCase ):
                              a_    :     Dict										=    int(sqrt(__UpperCamelCase ) )
                              a_    :     Union[str, Any]										=    int(sqrt(__UpperCamelCase ) )
                              a_    :     Dict										=    gcd(__UpperCamelCase  ,  __UpperCamelCase )
                              z_num //= hcf
                              z_den //= hcf
                              if 0 < z_num < z_den <= order:
                                   a_    :     List[Any]										=    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() = }''')



