





from __future__ import annotations

from collections import Counter







def 	UpperCAmelCase       (		lowerCAmelCase_       )	->	list[int]:
     a  :    List[Any]				=						[True] * n
     a  :    List[Any]				=						False
     a  :    Any				=						False
     a  :    Optional[Any]				=						True

     for i in range(3						,      int(n**0.5 + 1       )						,      2       ):
          a  :    int				=						i * 2
          while index < n:
               a  :    int				=						False
               a  :    Any				=						index + i

     a  :    List[Any]				=						[2]

     for i in range(3						,      __lowerCamelCase						,      2       ):
          if is_prime[i]:
               primes.append(__lowerCamelCase       )

     return primes







def 	UpperCAmelCase       (		lowerCAmelCase_       )	->	list[list[int]]:
     a  :    Optional[int]				=						str(__lowerCamelCase       )
     a  :    Tuple				=						[]
     a  :    Optional[int]				=						['''0''', '''1''', '''2''', '''3''', '''4''', '''5''', '''6''', '''7''', '''8''', '''9''']

     for duplicate in Counter(__lowerCamelCase       ) - Counter(set(__lowerCamelCase       )       ):
          a  :    int				=						[int(number_str.replace(__lowerCamelCase						,      __lowerCamelCase       )       ) for digit in digits]
          replacements.append(__lowerCamelCase       )

     return replacements







def 	UpperCAmelCase       (		lowerCAmelCase_ = 8       )	->	int:
     a  :    List[Any]				=						set()

     # Filter primes with less than 3 replaceable digits
     a  :    str				=						{
         x for x in set(prime_sieve(1_0_0_0_0_0_0       )       ) if len(str(__lowerCamelCase       )       ) - len(set(str(__lowerCamelCase       )       )       ) >= 3
     }

     for prime in primes:
          if prime in numbers_checked:
               continue

          a  :    Dict				=						digit_replacements(__lowerCamelCase       )

          for family in replacements:
               numbers_checked.update(__lowerCamelCase       )
               a  :    str				=						primes.intersection(__lowerCamelCase       )

               if len(__lowerCamelCase       ) != family_length:
                    continue

               return min(__lowerCamelCase       )

     return -1


if __name__ == "__main__":
  print(solution())
from ...configuration_utils import PretrainedConfig
from ...utils import logging


UpperCAmelCase							   =      logging.get_logger(__name__)

UpperCAmelCase							   =      {
    # pcqm4mv1 now deprecated
    """graphormer-base""": """https://huggingface.co/clefourrier/graphormer-base-pcqm4mv2/resolve/main/config.json""",
    # See all Graphormer models at https://huggingface.co/models?filter=graphormer
}






class 							_SCREAMING_SNAKE_CASE(   snake_case__	):
   UpperCamelCase_				:						int 			=   'graphormer'
   UpperCamelCase_				:						Tuple 			=   ['past_key_values']
   def __init__(    self							,     lowerCAmelCase_ = 1							,     lowerCAmelCase_ = 5_12 * 9							,     lowerCAmelCase_ = 5_12 * 3							,     lowerCAmelCase_ = 5_12							,     lowerCAmelCase_ = 5_12							,     lowerCAmelCase_ = 5_12							,     lowerCAmelCase_ = 1_28							,     lowerCAmelCase_ = 5							,     lowerCAmelCase_ = 10_24							,     lowerCAmelCase_ = "multi_hop"							,     lowerCAmelCase_ = 5_12							,     lowerCAmelCase_ = False							,     lowerCAmelCase_ = 12							,     lowerCAmelCase_ = 7_68							,     lowerCAmelCase_ = 7_68							,     lowerCAmelCase_ = 32							,     lowerCAmelCase_ = 0.1							,     lowerCAmelCase_ = 0.1							,     lowerCAmelCase_ = 0.0							,     lowerCAmelCase_ = False							,     lowerCAmelCase_ = False							,     lowerCAmelCase_ = False							,     lowerCAmelCase_ = "gelu"							,     lowerCAmelCase_ = None							,     lowerCAmelCase_ = False							,     lowerCAmelCase_ = 0							,     lowerCAmelCase_ = False							,     lowerCAmelCase_ = 0.0							,     lowerCAmelCase_ = 8							,     lowerCAmelCase_ = None							,     lowerCAmelCase_ = None							,     lowerCAmelCase_ = True							,     lowerCAmelCase_ = True							,     lowerCAmelCase_=0							,     lowerCAmelCase_=1							,     lowerCAmelCase_=2							,     **lowerCAmelCase_							,     )	->Optional[int]:
        a  :    List[Any]				=						num_classes
        a  :    Any				=						num_atoms
        a  :    Dict				=						num_in_degree
        a  :    int				=						num_out_degree
        a  :    Dict				=						num_edges
        a  :    Tuple				=						num_spatial
        a  :    Dict				=						num_edge_dis
        a  :    Optional[int]				=						edge_type
        a  :    List[Any]				=						multi_hop_max_dist
        a  :    Optional[int]				=						spatial_pos_max
        a  :    str				=						max_nodes
        a  :    Optional[Any]				=						num_hidden_layers
        a  :    Any				=						embedding_dim
        a  :    Dict				=						embedding_dim
        a  :    Dict				=						ffn_embedding_dim
        a  :    List[Any]				=						num_attention_heads
        a  :    List[str]				=						dropout
        a  :    int				=						attention_dropout
        a  :    Optional[Any]				=						layerdrop
        a  :    str				=						encoder_normalize_before
        a  :    Optional[int]				=						pre_layernorm
        a  :    Tuple				=						apply_graphormer_init
        a  :    int				=						activation_fn
        a  :    Any				=						embed_scale
        a  :    Optional[int]				=						freeze_embeddings
        a  :    Tuple				=						num_trans_layers_to_freeze
        a  :    List[str]				=						share_input_output_embed
        a  :    List[Any]				=						traceable
        a  :    Optional[Any]				=						q_noise
        a  :    Dict				=						qn_block_size

        # These parameters are here for future extensions
        # atm, the model only supports self attention
        a  :    List[Any]				=						kdim
        a  :    List[str]				=						vdim
        a  :    int				=						self_attention
        a  :    List[Any]				=						bias

        super().__init__(
            pad_token_id=lowerCAmelCase_							,     bos_token_id=lowerCAmelCase_							,     eos_token_id=lowerCAmelCase_							,     **lowerCAmelCase_							,     )