


import unittest

from transformers import (
    MODEL_FOR_SEQ_TO_SEQ_CAUSAL_LM_MAPPING,
    TF_MODEL_FOR_SEQ_TO_SEQ_CAUSAL_LM_MAPPING,
    TextaTextGenerationPipeline,
    pipeline,
)
from transformers.testing_utils import is_pipeline_test, require_tf, require_torch
from transformers.utils import is_torch_available

from .test_pipelines_common import ANY


if is_torch_available():
    import torch


@is_pipeline_test
class   a__	(						unittest.TestCase    ):
       lowerCamelCase__:     List[str]							    =     MODEL_FOR_SEQ_TO_SEQ_CAUSAL_LM_MAPPING
       lowerCamelCase__:     Optional[Any]							    =     TF_MODEL_FOR_SEQ_TO_SEQ_CAUSAL_LM_MAPPING

       def 						UpperCAmelCase(   self      :     Dict      ,							lowerCamelCase_      :     Union[str, Any]      ,							lowerCamelCase_      :     str      ,							lowerCamelCase_      :     Any    ):
            a_    :     Optional[Any]										=    TextaTextGenerationPipeline(model=_A      ,							tokenizer=_A    )
            return generator, ["Something to write", "Something else"]

       def 						UpperCAmelCase(   self      :     str      ,							lowerCamelCase_      :     Union[str, Any]      ,							lowerCamelCase_      :     Optional[int]    ):
            a_    :     Optional[Any]										=    generator("""Something there"""    )
            self.assertEqual(_A      ,							[{"""generated_text""": ANY(_A    )}]    )
            # These are encoder decoder, they don't just append to incoming string
            self.assertFalse(outputs[0]["""generated_text"""].startswith("""Something there"""    )    )

            a_    :     str										=    generator(["""This is great !""", """Something else"""]      ,							num_return_sequences=2      ,							do_sample=_A    )
            self.assertEqual(
                _A      ,							[
                    [{"""generated_text""": ANY(_A    )}, {"""generated_text""": ANY(_A    )}],
                    [{"""generated_text""": ANY(_A    )}, {"""generated_text""": ANY(_A    )}],
                ]      ,							)

            a_    :     Dict										=    generator(
                ["""This is great !""", """Something else"""]      ,							num_return_sequences=2      ,							batch_size=2      ,							do_sample=_A    )
            self.assertEqual(
                _A      ,							[
                    [{"""generated_text""": ANY(_A    )}, {"""generated_text""": ANY(_A    )}],
                    [{"""generated_text""": ANY(_A    )}, {"""generated_text""": ANY(_A    )}],
                ]      ,							)

            with self.assertRaises(_A    ):
                 generator(4    )

       @require_torch
       def 						UpperCAmelCase(   self      :     List[str]    ):
            a_    :     Optional[int]										=    pipeline("""text2text-generation"""      ,							model="""patrickvonplaten/t5-tiny-random"""      ,							framework="""pt"""    )
            # do_sample=False necessary for reproducibility
            a_    :     Union[str, Any]										=    generator("""Something there"""      ,							do_sample=_A    )
            self.assertEqual(_A      ,							[{"""generated_text""": """"""}]    )

            a_    :     Optional[int]										=    3
            a_    :     Union[str, Any]										=    generator(
                """Something there"""      ,							num_return_sequences=_A      ,							num_beams=_A      ,							)
            a_    :     Dict										=    [
                {"""generated_text""": """Beide Beide Beide Beide Beide Beide Beide Beide Beide"""},
                {"""generated_text""": """Beide Beide Beide Beide Beide Beide Beide Beide"""},
                {"""generated_text""": """"""},
            ]
            self.assertEqual(_A      ,							_A    )

            a_    :     Union[str, Any]										=    generator("""This is a test"""      ,							do_sample=_A      ,							num_return_sequences=2      ,							return_tensors=_A    )
            self.assertEqual(
                _A      ,							[
                    {"""generated_token_ids""": ANY(torch.Tensor    )},
                    {"""generated_token_ids""": ANY(torch.Tensor    )},
                ]      ,							)
            a_    :     Tuple										=    generator.model.config.eos_token_id
            a_    :     Optional[Any]										=    """<pad>"""
            a_    :     int										=    generator(
                ["""This is a test""", """This is a second test"""]      ,							do_sample=_A      ,							num_return_sequences=2      ,							batch_size=2      ,							return_tensors=_A      ,							)
            self.assertEqual(
                _A      ,							[
                    [
                        {"""generated_token_ids""": ANY(torch.Tensor    )},
                        {"""generated_token_ids""": ANY(torch.Tensor    )},
                    ],
                    [
                        {"""generated_token_ids""": ANY(torch.Tensor    )},
                        {"""generated_token_ids""": ANY(torch.Tensor    )},
                    ],
                ]      ,							)

       @require_tf
       def 						UpperCAmelCase(   self      :     Dict    ):
            a_    :     List[Any]										=    pipeline("""text2text-generation"""      ,							model="""patrickvonplaten/t5-tiny-random"""      ,							framework="""tf"""    )
            # do_sample=False necessary for reproducibility
            a_    :     str										=    generator("""Something there"""      ,							do_sample=_A    )
            self.assertEqual(_A      ,							[{"""generated_text""": """"""}]    )







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() = }''')



