

'''simple docstring'''
from ...configuration_utils import PretrainedConfig
from ...utils import logging


_lowerCamelCase	 =			logging.get_logger(__name__)

_lowerCamelCase	 =			{
    """facebook/regnet-y-040""": """https://huggingface.co/facebook/regnet-y-040/blob/main/config.json""",
}
class  _snake_case						(__SCREAMING_SNAKE_CASE):
			__A   :     str          ="regnet"
			__A   :     Dict          =["x", "y"]






			def __init__(   self       ,_snake_case=3       ,_snake_case=32       ,_snake_case=[1_28, 1_92, 5_12, 10_88]       ,_snake_case=[2, 6, 12, 2]       ,_snake_case=64       ,_snake_case="y"       ,_snake_case="relu"       ,**_snake_case       ,):
				super().__init__(**_snake_case			)
				if layer_type not in self.layer_types:
					raise ValueError(f'''layer_type={layer_type} is not one of {",".join(self.layer_types			)}'''			)
				UpperCAmelCase_			:	int      =   num_channels
				UpperCAmelCase_			:	str      =   embedding_size
				UpperCAmelCase_			:	Optional[Any]      =   hidden_sizes
				UpperCAmelCase_			:	str      =   depths
				UpperCAmelCase_			:	Optional[int]      =   groups_width
				UpperCAmelCase_			:	Union[str, Any]      =   layer_type
				UpperCAmelCase_			:	List[Any]      =   hidden_act
				# always downsample in the first stage
				UpperCAmelCase_			:	Union[str, Any]      =   True







'''simple docstring'''
from __future__ import annotations


def       a__    (  _SCREAMING_SNAKE_CASE					:    int							)			-> set[int]:


	"""simple docstring"""





	UpperCAmelCase_			:	Dict      =   {1}
	UpperCAmelCase_			:	int      =   [1]
	for _ in range(2     ,							depth + 1							):
		UpperCAmelCase_			:	Dict      =   [*previous_coefficients, 0]
		UpperCAmelCase_			:	Tuple      =   [0, *previous_coefficients]
		UpperCAmelCase_			:	Dict      =   []
		for x, y in zip(_SCREAMING_SNAKE_CASE     ,							_SCREAMING_SNAKE_CASE							):
			coefficients.add(x + y							)
			previous_coefficients.append(x + y							)
	return coefficients


def       a__    (  _SCREAMING_SNAKE_CASE					:    set[int]							)			-> set[int]:


	"""simple docstring"""





	UpperCAmelCase_			:	List[Any]      =   set()
	for number in unique_coefficients:
		UpperCAmelCase_			:	Tuple      =   2
		UpperCAmelCase_			:	Tuple      =   number
		while divisor**2 <= copy_number:
			UpperCAmelCase_			:	List[Any]      =   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__    (  _SCREAMING_SNAKE_CASE					:    int = 51							)			-> int:


	"""simple docstring"""





	UpperCAmelCase_			:	Optional[Any]      =   get_pascal_triangle_unique_coefficients(_SCREAMING_SNAKE_CASE							)
	UpperCAmelCase_			:	Union[str, Any]      =   get_squarefrees(_SCREAMING_SNAKE_CASE							)
	return sum(_SCREAMING_SNAKE_CASE							)


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




