


"""simple docstring"""







def        UpperCAmelCase__	(lowerCAmelCase_       ):




					'''simple docstring'''


					assert isinstance(lowerCAmelCase_  ,						lowerCAmelCase_       ), f"""The input value of [n={number}] is not an integer"""

					if number == 1:
										return 2
					elif number < 1:
										__SCREAMING_SNAKE_CASE						       =    f"""The input value of [n={number}] has to be > 0"""
										raise ValueError(lowerCAmelCase_       )
					else:
										__SCREAMING_SNAKE_CASE						       =    sylvester(number - 1       )
										__SCREAMING_SNAKE_CASE						       =    num - 1
										__SCREAMING_SNAKE_CASE						       =    num
										return lower * upper + 1


if __name__ == "__main__":
		print(F"The 8th number in Sylvester's sequence: {sylvester(8)}")




"""simple docstring"""







from ...configuration_utils import PretrainedConfig
from ...utils import logging


a__    :							int            =					logging.get_logger(__name__)

a__    :							Tuple            =					{'''ctrl''': '''https://huggingface.co/ctrl/resolve/main/config.json'''}




class 			UpperCamelCase_     (			UpperCamelCase):

	"""simple docstring"""





	snake_case__    :  Dict    =      "ctrl"
	snake_case__    :  int    =      ["past_key_values"]
	snake_case__    :  Tuple    =      {
	    "max_position_embeddings": "n_positions",
	    "hidden_size": "n_embd",
	    "num_attention_heads": "n_head",
	    "num_hidden_layers": "n_layer",
	}




	def __init__(			self      :    List[Any]      ,      UpperCAmelCase__      :    Any=2_4_6_5_3_4      ,      UpperCAmelCase__      :    List[Any]=2_5_6      ,      UpperCAmelCase__      :    Optional[int]=1_2_8_0      ,      UpperCAmelCase__      :    Optional[Any]=8_1_9_2      ,      UpperCAmelCase__      :    int=4_8      ,      UpperCAmelCase__      :    Optional[int]=1_6      ,      UpperCAmelCase__      :    Tuple=0.1      ,      UpperCAmelCase__      :    Optional[Any]=0.1      ,      UpperCAmelCase__      :    Any=1E-6      ,      UpperCAmelCase__      :    List[str]=0.02      ,      UpperCAmelCase__      :    Union[str, Any]=True      ,      **UpperCAmelCase__      :    Tuple      ,      )	->     str:
						__SCREAMING_SNAKE_CASE						       =    vocab_size
						__SCREAMING_SNAKE_CASE						       =    n_positions
						__SCREAMING_SNAKE_CASE						       =    n_embd
						__SCREAMING_SNAKE_CASE						       =    n_layer
						__SCREAMING_SNAKE_CASE						       =    n_head
						__SCREAMING_SNAKE_CASE						       =    dff
						__SCREAMING_SNAKE_CASE						       =    resid_pdrop
						__SCREAMING_SNAKE_CASE						       =    embd_pdrop
						__SCREAMING_SNAKE_CASE						       =    layer_norm_epsilon
						__SCREAMING_SNAKE_CASE						       =    initializer_range

						__SCREAMING_SNAKE_CASE						       =    use_cache

						super().__init__(**UpperCAmelCase__       )
