code: 
  
  
  """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
style_context: 
  
  
  """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() = }')