





import random



def      __lowercase     (   _SCREAMING_SNAKE_CASE			)				->     bool:


      '''simple docstring'''


      SCREAMING_SNAKE_CASE	=		num - 1
      SCREAMING_SNAKE_CASE	=		0

      while s % 2 == 0:
            SCREAMING_SNAKE_CASE	=		s // 2
            t += 1

      for _ in range(5			):
            SCREAMING_SNAKE_CASE	=		random.randrange(2				,		num - 1			)
            SCREAMING_SNAKE_CASE	=		pow(_SCREAMING_SNAKE_CASE				,		_SCREAMING_SNAKE_CASE				,		_SCREAMING_SNAKE_CASE			)
            if v != 1:
                  SCREAMING_SNAKE_CASE	=		0
                  while v != (num - 1):
                        if i == t - 1:
                              return False
                        else:
                              SCREAMING_SNAKE_CASE	=		i + 1
                              SCREAMING_SNAKE_CASE	=		(v**2) % num
      return True



def      __lowercase     (   _SCREAMING_SNAKE_CASE			)				->     bool:


      '''simple docstring'''


      if num < 2:
            return False

      SCREAMING_SNAKE_CASE	=		[
          2,
          3,
          5,
          7,
          11,
          13,
          17,
          19,
          23,
          29,
          31,
          37,
          41,
          43,
          47,
          53,
          59,
          61,
          67,
          71,
          73,
          79,
          83,
          89,
          97,
          1_01,
          1_03,
          1_07,
          1_09,
          1_13,
          1_27,
          1_31,
          1_37,
          1_39,
          1_49,
          1_51,
          1_57,
          1_63,
          1_67,
          1_73,
          1_79,
          1_81,
          1_91,
          1_93,
          1_97,
          1_99,
          2_11,
          2_23,
          2_27,
          2_29,
          2_33,
          2_39,
          2_41,
          2_51,
          2_57,
          2_63,
          2_69,
          2_71,
          2_77,
          2_81,
          2_83,
          2_93,
          3_07,
          3_11,
          3_13,
          3_17,
          3_31,
          3_37,
          3_47,
          3_49,
          3_53,
          3_59,
          3_67,
          3_73,
          3_79,
          3_83,
          3_89,
          3_97,
          4_01,
          4_09,
          4_19,
          4_21,
          4_31,
          4_33,
          4_39,
          4_43,
          4_49,
          4_57,
          4_61,
          4_63,
          4_67,
          4_79,
          4_87,
          4_91,
          4_99,
          5_03,
          5_09,
          5_21,
          5_23,
          5_41,
          5_47,
          5_57,
          5_63,
          5_69,
          5_71,
          5_77,
          5_87,
          5_93,
          5_99,
          6_01,
          6_07,
          6_13,
          6_17,
          6_19,
          6_31,
          6_41,
          6_43,
          6_47,
          6_53,
          6_59,
          6_61,
          6_73,
          6_77,
          6_83,
          6_91,
          7_01,
          7_09,
          7_19,
          7_27,
          7_33,
          7_39,
          7_43,
          7_51,
          7_57,
          7_61,
          7_69,
          7_73,
          7_87,
          7_97,
          8_09,
          8_11,
          8_21,
          8_23,
          8_27,
          8_29,
          8_39,
          8_53,
          8_57,
          8_59,
          8_63,
          8_77,
          8_81,
          8_83,
          8_87,
          9_07,
          9_11,
          9_19,
          9_29,
          9_37,
          9_41,
          9_47,
          9_53,
          9_67,
          9_71,
          9_77,
          9_83,
          9_91,
          9_97,
      ]

      if num in low_primes:
            return True

      for prime in low_primes:
            if (num % prime) == 0:
                  return False

      return rabin_miller(_SCREAMING_SNAKE_CASE			)



def      __lowercase     (   _SCREAMING_SNAKE_CASE = 10_24			)				->     int:


      '''simple docstring'''


      while True:
            SCREAMING_SNAKE_CASE	=		random.randrange(2 ** (keysize - 1)				,		2 ** (keysize)			)
            if is_prime_low_num(_SCREAMING_SNAKE_CASE			):
                  return num


if __name__ == "__main__":
      SCREAMING_SNAKE_CASE_		     = generate_large_prime()
      print(("""Prime number:""", num))
      print(("""is_prime_low_num:""", is_prime_low_num(num)))









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


SCREAMING_SNAKE_CASE_		     = logging.get_logger(__name__)

SCREAMING_SNAKE_CASE_		     = {
    """google/pegasus-large""": """https://huggingface.co/google/pegasus-large/resolve/main/config.json""",
    # See all PEGASUS models at https://huggingface.co/models?filter=pegasus
}

class 	UpperCamelCase__				(   lowerCAmelCase_     ):



     '''simple docstring'''

     __snake_case					:			str				=    "pegasus"
     __snake_case					:			List[Any]				=    ["past_key_values"]
     __snake_case					:			Any				=    {"num_attention_heads": "encoder_attention_heads", "hidden_size": "d_model"}






     def __init__(							self		:					Dict		,lowerCamelCase__		:					List[str]=50265		,lowerCamelCase__		:					int=1024		,lowerCamelCase__		:					Optional[Any]=12		,lowerCamelCase__		:					Tuple=4096		,lowerCamelCase__		:					Dict=16		,lowerCamelCase__		:					Optional[Any]=12		,lowerCamelCase__		:					str=4096		,lowerCamelCase__		:					Dict=16		,lowerCamelCase__		:					Tuple=0.0		,lowerCamelCase__		:					Dict=0.0		,lowerCamelCase__		:					str=True		,lowerCamelCase__		:					Any=True		,lowerCamelCase__		:					List[Any]="gelu"		,lowerCamelCase__		:					Tuple=1024		,lowerCamelCase__		:					Optional[int]=0.1		,lowerCamelCase__		:					Tuple=0.0		,lowerCamelCase__		:					Dict=0.0		,lowerCamelCase__		:					Optional[int]=0.02		,lowerCamelCase__		:					Optional[int]=0		,lowerCamelCase__		:					List[Any]=False		,lowerCamelCase__		:					Union[str, Any]=0		,lowerCamelCase__		:					Optional[int]=1		,lowerCamelCase__		:					Any=1		,**lowerCamelCase__		:					Dict		,)  ->	str:




           '''simple docstring'''


           SCREAMING_SNAKE_CASE	=		vocab_size
           SCREAMING_SNAKE_CASE	=		max_position_embeddings
           SCREAMING_SNAKE_CASE	=		d_model
           SCREAMING_SNAKE_CASE	=		encoder_ffn_dim
           SCREAMING_SNAKE_CASE	=		encoder_layers
           SCREAMING_SNAKE_CASE	=		encoder_attention_heads
           SCREAMING_SNAKE_CASE	=		decoder_ffn_dim
           SCREAMING_SNAKE_CASE	=		decoder_layers
           SCREAMING_SNAKE_CASE	=		decoder_attention_heads
           SCREAMING_SNAKE_CASE	=		dropout
           SCREAMING_SNAKE_CASE	=		attention_dropout
           SCREAMING_SNAKE_CASE	=		activation_dropout
           SCREAMING_SNAKE_CASE	=		activation_function
           SCREAMING_SNAKE_CASE	=		init_std
           SCREAMING_SNAKE_CASE	=		encoder_layerdrop
           SCREAMING_SNAKE_CASE	=		decoder_layerdrop
           SCREAMING_SNAKE_CASE	=		use_cache
           SCREAMING_SNAKE_CASE	=		encoder_layers
           SCREAMING_SNAKE_CASE	=		scale_embedding  # scale factor will be sqrt(d_model) if True
           super().__init__(
               pad_token_id=lowerCamelCase__		,eos_token_id=lowerCamelCase__		,is_encoder_decoder=lowerCamelCase__		,decoder_start_token_id=lowerCamelCase__		,forced_eos_token_id=lowerCamelCase__		,**lowerCamelCase__		,)






     @property
     def        SCREAMING_SNAKE_CASE__						(							self		:					Tuple )  ->	int:




           '''simple docstring'''


           return self.encoder_attention_heads






     @property
     def        SCREAMING_SNAKE_CASE__						(							self		:					List[str] )  ->	int:




           '''simple docstring'''


           return self.d_model


