"""simple docstring"""





from __future__ import annotations





def     a_					(				_lowerCAmelCase  :			Tuple					):





       '''simple docstring'''

       lowercase__      :		int          =     {1}
       lowercase__      :		Union[str, Any]          =     [1]
       for _ in range(2       ,			depth + 1					):
              lowercase__      :		Any          =     [*previous_coefficients, 0]
              lowercase__      :		Union[str, Any]          =     [0, *previous_coefficients]
              lowercase__      :		Union[str, Any]          =     []
              for x, y in zip(SCREAMING_SNAKE_CASE_       ,			SCREAMING_SNAKE_CASE_					):
                     coefficients.add(x + y					)
                     previous_coefficients.append(x + y					)
       return coefficients





def     a_					(				_lowerCAmelCase  :			Optional[Any]					):





       '''simple docstring'''

       lowercase__      :		str          =     set()
       for number in unique_coefficients:
              lowercase__      :		Any          =     2
              lowercase__      :		Union[str, Any]          =     number
              while divisor**2 <= copy_number:
                     lowercase__      :		Dict          =     0
                     while copy_number % divisor == 0:
                            copy_number //= divisor
                            multiplicity += 1
                     if multiplicity >= 2:
                            non_squarefrees.add(SCREAMING_SNAKE_CASE_					)
                            break
                     divisor += 1

       return unique_coefficients.difference(SCREAMING_SNAKE_CASE_					)





def     a_					(				_lowerCAmelCase  :			List[str] = 51					):





       '''simple docstring'''

       lowercase__      :		Dict          =     get_pascal_triangle_unique_coefficients(SCREAMING_SNAKE_CASE_					)
       lowercase__      :		Dict          =     get_squarefrees(SCREAMING_SNAKE_CASE_					)
       return sum(SCREAMING_SNAKE_CASE_					)


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


"""simple docstring"""





import torch

from transformers import PreTrainedModel

from .custom_configuration import CustomConfig, NoSuperInitConfig


class 					UpperCAmelCase_     (   _a):
      lowerCamelCase__		:   List[str]			  =  CustomConfig


      def __init__(       self		,      a							)	-> Optional[int]:
             super().__init__(a							)
             lowercase__      :		Any          =     torch.nn.Linear(config.hidden_size		,      config.hidden_size							)


      def 		_UpperCAmelCase	(       self		,      a							)	-> Union[str, Any]:
             return self.linear(a							)


      def 		_UpperCAmelCase	(       self		,      a							)	-> Tuple:
             pass





class 					UpperCAmelCase_     (   _a):
      lowerCamelCase__		:   Optional[int]			  =  NoSuperInitConfig


      def __init__(       self		,      a							)	-> int:
             super().__init__(a							)
             lowercase__      :		List[Any]          =     torch.nn.Linear(config.attribute		,      config.attribute							)


      def 		_UpperCAmelCase	(       self		,      a							)	-> Optional[int]:
             return self.linear(a							)


      def 		_UpperCAmelCase	(       self		,      a							)	-> Optional[Any]:
             pass

