






'''simple docstring'''



from typing import Optional, Union

import torch
from torch import nn

from ...configuration_utils import ConfigMixin, register_to_config
from ...models.modeling_utils import ModelMixin
class UpperCAmelCase_       (     __A					,							__A					):




      """simple docstring"""




      @register_to_config
      def __init__(			self      :		Any  ,   UpperCAmelCase      :		int = 768  ,   )	->	Optional[int]:


       '''simple docstring'''

       super().__init__()

       lowercase       : Optional[int]						=nn.Parameter(torch.zeros(1  ,   UpperCAmelCase		)		)
       lowercase       : Tuple						=nn.Parameter(torch.ones(1  ,   UpperCAmelCase		)		)






      def 					A__   (			self      :		Union[str, Any]  ,   UpperCAmelCase      :		Optional[Union[str, torch.device]] = None  ,   UpperCAmelCase      :		Optional[torch.dtype] = None  ,   )	->	Any:


       '''simple docstring'''

       lowercase       : Union[str, Any]						=nn.Parameter(self.mean.to(UpperCAmelCase		).to(UpperCAmelCase		)		)
       lowercase       : Union[str, Any]						=nn.Parameter(self.std.to(UpperCAmelCase		).to(UpperCAmelCase		)		)
       return self






      def 					A__   (			self      :		int  ,   UpperCAmelCase      :		List[Any]		)	->	Optional[Any]:


       '''simple docstring'''

       lowercase       : List[Any]						=(embeds - self.mean) * 1.0 / self.std
       return embeds






      def 					A__   (			self      :		int  ,   UpperCAmelCase      :		List[Any]		)	->	Tuple:


       '''simple docstring'''

       lowercase       : Dict						=(embeds * self.std) + self.mean
       return embeds











'''simple docstring'''



from math import isqrt


def 				lowercase_					(     __A			:							int      )							->   list[int]:



 """simple docstring"""




 lowercase       : Dict						=[True] * max_number
 for i in range(2       ,   isqrt(max_number - 1      ) + 1      ):
  if is_prime[i]:
   for j in range(i**2       ,   __A       ,   __A      ):
    lowercase       : str						=False

 return [i for i in range(2       ,   __A      ) if is_prime[i]]


def 				lowercase_					(     __A			:							int = 1_0**8      )							->   int:



 """simple docstring"""




 lowercase       : Dict						=calculate_prime_numbers(max_number // 2      )

 lowercase       : str						=0
 lowercase       : Optional[Any]						=0
 lowercase       : Union[str, Any]						=len(__A      ) - 1
 while left <= right:
  while prime_numbers[left] * prime_numbers[right] >= max_number:
   right -= 1
  semiprimes_count += right - left + 1
  left += 1

 return semiprimes_count


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



