




from __future__ import annotations







def 		_A(							UpperCamelCase__				:      int					,							UpperCamelCase__				:      int					)     ->			Optional[int]:
							'''simple docstring'''


							if b == 0:
														return (1, 0)
							((__lowercase)  ,  (__lowercase))			  =     extended_euclid(_snake_case					,							a % b					)
							__lowercase			  =     a // b
							return (y, x - k * y)







def 		_A(							UpperCamelCase__				:      int					,							UpperCamelCase__				:      int					,							UpperCamelCase__				:      int					,							UpperCamelCase__				:      int					)     ->			Optional[Any]:
							'''simple docstring'''


							((__lowercase)  ,  (__lowercase))			  =     extended_euclid(_snake_case					,							_snake_case					)
							__lowercase			  =     na * na
							__lowercase			  =     ra * x * na + ra * y * na
							return (n % m + m) % m







def 		_A(							UpperCamelCase__				:      int					,							UpperCamelCase__				:      int					)     ->			List[str]:
							'''simple docstring'''


							((__lowercase)  ,  (__lowercase))			  =     extended_euclid(_snake_case					,							_snake_case					)
							if b < 0:
														__lowercase			  =     (b % n + n) % n
							return b







def 		_A(							UpperCamelCase__				:      int					,							UpperCamelCase__				:      int					,							UpperCamelCase__				:      int					,							UpperCamelCase__				:      int					)     ->			Optional[Any]:
							'''simple docstring'''


							__lowercase  ,  __lowercase			  =     invert_modulo(_snake_case					,							_snake_case					), invert_modulo(_snake_case					,							_snake_case					)
							__lowercase			  =     na * na
							__lowercase			  =     ra * x * na + ra * y * na
							return (n % m + m) % m


if __name__ == "__main__":
			from doctest import testmod

			testmod(name="chinese_remainder_theorem", verbose=True)
			testmod(name="chinese_remainder_theorem2", verbose=True)
			testmod(name="invert_modulo", verbose=True)
			testmod(name="extended_euclid", verbose=True)











'''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 					snake_case			(UpperCamelCase		,   UpperCamelCase ):



       @register_to_config
       def __init__(					self  ,UpperCAmelCase_ = 768  ,)	->				List[Any]:
           super().__init__()

           lowercase__									=    nn.Parameter(torch.zeros(1  ,UpperCAmelCase_   )   )
           lowercase__									=    nn.Parameter(torch.ones(1  ,UpperCAmelCase_   )   )



       def 				_a   (					self  ,UpperCAmelCase_ = None  ,UpperCAmelCase_ = None  ,)	->				Any:
           lowercase__									=    nn.Parameter(self.mean.to(UpperCAmelCase_   ).to(UpperCAmelCase_   )   )
           lowercase__									=    nn.Parameter(self.std.to(UpperCAmelCase_   ).to(UpperCAmelCase_   )   )
           return self



       def 				_a   (					self  ,UpperCAmelCase_   )	->				Tuple:
           lowercase__									=    (embeds - self.mean) * 1.0 / self.std
           return embeds







       def 				_a   (					self  ,UpperCAmelCase_   )	->				List[str]:
           lowercase__									=    (embeds * self.std) + self.mean
           return embeds




