
'''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_	(						_SCREAMING_SNAKE_CASE			,				_SCREAMING_SNAKE_CASE					):






						'''simple docstring'''






						@register_to_config
						def __init__(   self       ,  _lowercase = 768       ,  ):

												"""simple docstring"""



												super().__init__()

												_lowerCAmelCase    		=					nn.Parameter(torch.zeros(1       ,  _lowercase ) )
												_lowerCAmelCase    		=					nn.Parameter(torch.ones(1       ,  _lowercase ) )




						def    _lowercase      (   self       ,  _lowercase = None       ,  _lowercase = None       ,  ):

												"""simple docstring"""



												_lowerCAmelCase    		=					nn.Parameter(self.mean.to(_lowercase ).to(_lowercase ) )
												_lowerCAmelCase    		=					nn.Parameter(self.std.to(_lowercase ).to(_lowercase ) )
												return self




						def    _lowercase      (   self       ,  _lowercase ):

												"""simple docstring"""



												_lowerCAmelCase    		=					(embeds - self.mean) * 1.0 / self.std
												return embeds




						def    _lowercase      (   self       ,  _lowercase ):

												"""simple docstring"""



												_lowerCAmelCase    		=					(embeds * self.std) + self.mean
												return embeds








def       _SCREAMING_SNAKE_CASE (							__snake_case = 1_0_0_0 )				->						int:
       _UpperCAmelCase	,			_UpperCAmelCase							=    1, 1
       _UpperCAmelCase							=    []
       for i in range(1   ,      n + 1 ):
              _UpperCAmelCase							=    prev_numerator + 2 * prev_denominator
              _UpperCAmelCase							=    prev_numerator + prev_denominator
              if len(str(__snake_case ) ) > len(str(__snake_case ) ):
                     result.append(__snake_case )
              _UpperCAmelCase							=    numerator
              _UpperCAmelCase							=    denominator

       return len(__snake_case )


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