
'''simple docstring'''




import warnings

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


lowercase			:				Optional[int]    		=			logging.get_logger(__name__)

lowercase			:				Any    		=			{
    'RUCAIBox/mvp': 'https://huggingface.co/RUCAIBox/mvp/resolve/main/config.json',
}





class  A				(							__snake_case						):
     __magic_name__						=		'''mvp'''
     __magic_name__						=		['''past_key_values''']
     __magic_name__						=		{'''num_attention_heads''': '''encoder_attention_heads''', '''hidden_size''': '''d_model'''}





     def __init__(							self						,			SCREAMING_SNAKE_CASE=50267						,			SCREAMING_SNAKE_CASE=1024						,			SCREAMING_SNAKE_CASE=12						,			SCREAMING_SNAKE_CASE=4096						,			SCREAMING_SNAKE_CASE=16						,			SCREAMING_SNAKE_CASE=12						,			SCREAMING_SNAKE_CASE=4096						,			SCREAMING_SNAKE_CASE=16						,			SCREAMING_SNAKE_CASE=0.0						,			SCREAMING_SNAKE_CASE=0.0						,			SCREAMING_SNAKE_CASE="gelu"						,			SCREAMING_SNAKE_CASE=1024						,			SCREAMING_SNAKE_CASE=0.1						,			SCREAMING_SNAKE_CASE=0.0						,			SCREAMING_SNAKE_CASE=0.0						,			SCREAMING_SNAKE_CASE=0.02						,			SCREAMING_SNAKE_CASE=0.0						,			SCREAMING_SNAKE_CASE=False						,			SCREAMING_SNAKE_CASE=True						,			SCREAMING_SNAKE_CASE=1						,			SCREAMING_SNAKE_CASE=0						,			SCREAMING_SNAKE_CASE=2						,			SCREAMING_SNAKE_CASE=True						,			SCREAMING_SNAKE_CASE=2						,			SCREAMING_SNAKE_CASE=2						,			SCREAMING_SNAKE_CASE=False						,			SCREAMING_SNAKE_CASE=100						,			SCREAMING_SNAKE_CASE=800						,			**SCREAMING_SNAKE_CASE						,			) ->				List[str]:






         """simple docstring"""






         A       :   Tuple					=						vocab_size
         A       :   Tuple					=						max_position_embeddings
         A       :   Union[str, Any]					=						d_model
         A       :   Optional[Any]					=						encoder_ffn_dim
         A       :   Optional[Any]					=						encoder_layers
         A       :   List[str]					=						encoder_attention_heads
         A       :   Any					=						decoder_ffn_dim
         A       :   List[Any]					=						decoder_layers
         A       :   Optional[Any]					=						decoder_attention_heads
         A       :   Optional[int]					=						dropout
         A       :   Optional[Any]					=						attention_dropout
         A       :   List[str]					=						activation_dropout
         A       :   Union[str, Any]					=						activation_function
         A       :   Dict					=						init_std
         A       :   Optional[int]					=						encoder_layerdrop
         A       :   int					=						decoder_layerdrop
         A       :   Optional[int]					=						classifier_dropout
         A       :   List[str]					=						use_cache
         A       :   Tuple					=						encoder_layers
         A       :   Any					=						scale_embedding  # scale factor will be sqrt(d_model) if True
         A       :   Union[str, Any]					=						use_prompt
         A       :   Optional[Any]					=						prompt_length
         A       :   Tuple					=						prompt_mid_dim

         super().__init__(
             pad_token_id=SCREAMING_SNAKE_CASE						,			bos_token_id=SCREAMING_SNAKE_CASE						,			eos_token_id=SCREAMING_SNAKE_CASE						,			is_encoder_decoder=SCREAMING_SNAKE_CASE						,			decoder_start_token_id=SCREAMING_SNAKE_CASE						,			forced_eos_token_id=SCREAMING_SNAKE_CASE						,			**SCREAMING_SNAKE_CASE						,			)

         if self.forced_bos_token_id is None and kwargs.get('''force_bos_token_to_be_generated'''						,			SCREAMING_SNAKE_CASE	):
             A       :   Tuple					=						self.bos_token_id
             warnings.warn(
                 F'Please make sure the config includes `forced_bos_token_id={self.bos_token_id}` in future versions. '
                 '''The config can simply be saved and uploaded again to be fixed.'''	)





"""simple docstring"""






from decimal import Decimal, getcontext
from math import ceil, factorial


def 			UpperCAmelCase__       (				lowerCAmelCase__     :int		) ->    str:
      '''simple docstring'''


      if not isinstance(lowerCAmelCase__					,		lowerCAmelCase__		):
            raise TypeError("""Undefined for non-integers"""		)
      elif precision < 1:
            raise ValueError("""Undefined for non-natural numbers"""		)

      lowercase														=	precision
      lowercase														=	ceil(precision / 1_4		)
      lowercase														=	4_2_6_8_8_0 * Decimal(1_0_0_0_5		).sqrt()
      lowercase														=	1
      lowercase														=	1_3_5_9_1_4_0_9
      lowercase														=	Decimal(lowerCAmelCase__		)
      for k in range(1					,		lowerCAmelCase__		):
            lowercase														=	factorial(6 * k		) // (factorial(3 * k		) * factorial(lowerCAmelCase__		) ** 3)
            linear_term += 5_4_5_1_4_0_1_3_4
            exponential_term *= -2_6_2_5_3_7_4_1_2_6_4_0_7_6_8_0_0_0
            partial_sum += Decimal(multinomial_term * linear_term		) / exponential_term
      return str(constant_term / partial_sum		)[:-1]


if __name__ == "__main__":
       __lowerCAmelCase    :       List[Any]					     =5_0
       print(F"""The first {n} digits of pi is: {pi(n)}""")



