


"""simple docstring"""







import torch
import torch.nn.functional as F

from diffusers import VQDiffusionScheduler

from .test_schedulers import SchedulerCommonTest






class    __A       ( _SCREAMING_SNAKE_CASE    ):






 """simple docstring"""




 __lowerCAmelCase				      =						(VQDiffusionScheduler,)


 def    SCREAMING_SNAKE_CASE							(	self				,					**__A		)      ->  Tuple:
     a					={
         '''num_vec_classes''': 4097,
         '''num_train_timesteps''': 100,
     }

     config.update(**__A		)
     return config


 def    SCREAMING_SNAKE_CASE							(	self				,					__A		)      ->  Any:
     a					=4
     a					=8
     a					=8

     a					=torch.randint(0				,					__A				,					(batch_size, height * width)		)

     return sample


 @property
 def    SCREAMING_SNAKE_CASE							(	self		)      ->  Optional[Any]:
     assert False


 def    SCREAMING_SNAKE_CASE							(	self				,					__A		)      ->  Tuple:
     def model(__A				,					__A				,					*__A		):
         a	,   a					=sample.shape
         a					=torch.rand((batch_size, num_vec_classes - 1, num_latent_pixels)		)
         a					=F.log_softmax(logits.double()				,					dim=1		).float()
         return return_value

     return model


 def    SCREAMING_SNAKE_CASE							(	self		)      ->  Dict:
     for timesteps in [2, 5, 100, 1000]:
         self.check_over_configs(num_train_timesteps=__A		)


 def    SCREAMING_SNAKE_CASE							(	self		)      ->  List[str]:
     for num_vec_classes in [5, 100, 1000, 4000]:
         self.check_over_configs(num_vec_classes=__A		)


 def    SCREAMING_SNAKE_CASE							(	self		)      ->  List[str]:
     for t in [0, 50, 99]:
         self.check_over_forward(time_step=__A		)





 def    SCREAMING_SNAKE_CASE							(	self		)      ->  str:
     pass



"""simple docstring"""







from math import gcd
def _A		(		lowercase = 1_20_00	):







    """simple docstring"""
    a					=0
    for d in range(max_d + 1	):
        for n in range(d // 3 + 1 ,					(d + 1) // 2	):
            if gcd(lowercase ,					lowercase	) == 1:
                fractions_number += 1
    return fractions_number


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