import flax.linen as nn
import jax
import jax.numpy as jnp







class __snake_case    (						nn.Module		):
   lowerCAmelCase_														=							42
   lowerCAmelCase_														=							jnp.floataa




   def      __a						(   self      :    Dict				):



     """simple docstring"""






     SCREAMING_SNAKE_CASE__      							=				nn.Conv(
         self.out_channels	,     kernel_size=(3, 3)	,     strides=(1, 1)	,     padding=((1, 1), (1, 1))	,     dtype=self.dtype	,     )




   def __call__(   self      :    Tuple	,     _lowercase      :    str				):



     """simple docstring"""






     SCREAMING_SNAKE_CASE__							,					SCREAMING_SNAKE_CASE__							,					SCREAMING_SNAKE_CASE__							,					SCREAMING_SNAKE_CASE__      							=				hidden_states.shape
     SCREAMING_SNAKE_CASE__      							=				jax.image.resize(
         _lowercase	,     shape=(batch, height * 2, width * 2, channels)	,     method="""nearest"""	,     )
     SCREAMING_SNAKE_CASE__      							=				self.conv(_lowercase				)
     return hidden_states







class __snake_case    (						nn.Module		):
   lowerCAmelCase_														=							42
   lowerCAmelCase_														=							jnp.floataa




   def      __a						(   self      :    Optional[int]				):



     """simple docstring"""






     SCREAMING_SNAKE_CASE__      							=				nn.Conv(
         self.out_channels	,     kernel_size=(3, 3)	,     strides=(2, 2)	,     padding=((1, 1), (1, 1))	,     dtype=self.dtype	,     )




   def __call__(   self      :    int	,     _lowercase      :    Tuple				):



     """simple docstring"""






     SCREAMING_SNAKE_CASE__      							=				self.conv(_lowercase				)
     return hidden_states







class __snake_case    (						nn.Module		):
   lowerCAmelCase_														=							42
   lowerCAmelCase_														=							None
   lowerCAmelCase_														=							0.0
   lowerCAmelCase_														=							None
   lowerCAmelCase_														=							jnp.floataa




   def      __a						(   self      :    Tuple				):



     """simple docstring"""






     SCREAMING_SNAKE_CASE__      							=				self.in_channels if self.out_channels is None else self.out_channels

     SCREAMING_SNAKE_CASE__      							=				nn.GroupNorm(num_groups=32	,     epsilon=1E-5				)
     SCREAMING_SNAKE_CASE__      							=				nn.Conv(
         _lowercase	,     kernel_size=(3, 3)	,     strides=(1, 1)	,     padding=((1, 1), (1, 1))	,     dtype=self.dtype	,     )

     SCREAMING_SNAKE_CASE__      							=				nn.Dense(_lowercase	,     dtype=self.dtype				)

     SCREAMING_SNAKE_CASE__      							=				nn.GroupNorm(num_groups=32	,     epsilon=1E-5				)
     SCREAMING_SNAKE_CASE__      							=				nn.Dropout(self.dropout_prob				)
     SCREAMING_SNAKE_CASE__      							=				nn.Conv(
         _lowercase	,     kernel_size=(3, 3)	,     strides=(1, 1)	,     padding=((1, 1), (1, 1))	,     dtype=self.dtype	,     )

     SCREAMING_SNAKE_CASE__      							=				self.in_channels != out_channels if self.use_nin_shortcut is None else self.use_nin_shortcut

     SCREAMING_SNAKE_CASE__      							=				None
     if use_nin_shortcut:
       SCREAMING_SNAKE_CASE__      							=				nn.Conv(
           _lowercase	,     kernel_size=(1, 1)	,     strides=(1, 1)	,     padding="""VALID"""	,     dtype=self.dtype	,     )




   def __call__(   self      :    List[str]	,     _lowercase      :    Any	,     _lowercase      :    Optional[int]	,     _lowercase      :    Optional[int]=True				):



     """simple docstring"""






     SCREAMING_SNAKE_CASE__      							=				hidden_states
     SCREAMING_SNAKE_CASE__      							=				self.norma(_lowercase				)
     SCREAMING_SNAKE_CASE__      							=				nn.swish(_lowercase				)
     SCREAMING_SNAKE_CASE__      							=				self.conva(_lowercase				)

     SCREAMING_SNAKE_CASE__      							=				self.time_emb_proj(nn.swish(_lowercase				)				)
     SCREAMING_SNAKE_CASE__      							=				jnp.expand_dims(jnp.expand_dims(_lowercase	,     1				)	,     1				)
     SCREAMING_SNAKE_CASE__      							=				hidden_states + temb

     SCREAMING_SNAKE_CASE__      							=				self.norma(_lowercase				)
     SCREAMING_SNAKE_CASE__      							=				nn.swish(_lowercase				)
     SCREAMING_SNAKE_CASE__      							=				self.dropout(_lowercase	,     _lowercase				)
     SCREAMING_SNAKE_CASE__      							=				self.conva(_lowercase				)

     if self.conv_shortcut is not None:
       SCREAMING_SNAKE_CASE__      							=				self.conv_shortcut(_lowercase				)

     return hidden_states + residual

from math import isqrt



def      __SCREAMING_SNAKE_CASE  ( __UpperCamelCase   :	int     )							-> list[int]:







  """simple docstring"""





  SCREAMING_SNAKE_CASE__      							=				[True] * max_number
  for i in range(2			,					isqrt(max_number - 1     ) + 1     ):
    if is_prime[i]:
      for j in range(i**2			,					__UpperCamelCase			,					__UpperCamelCase     ):
        SCREAMING_SNAKE_CASE__      							=				False

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



def      __SCREAMING_SNAKE_CASE  ( __UpperCamelCase   :	int = 10**8     )							-> int:







  """simple docstring"""





  SCREAMING_SNAKE_CASE__      							=				calculate_prime_numbers(max_number // 2     )

  SCREAMING_SNAKE_CASE__      							=				0
  SCREAMING_SNAKE_CASE__      							=				0
  SCREAMING_SNAKE_CASE__      							=				len(__UpperCamelCase     ) - 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() = }""")
