"""simple docstring"""
import itertools







def 		__a  (      _SCREAMING_SNAKE_CASE = 1000000  )      ->int:
  a__:	str     				=      [1]

  for i in itertools.count(len(_SCREAMING_SNAKE_CASE  )  ):
    a__:	Any     				=      0
    for j in itertools.count(1  ):
      a__:	List[str]     				=      -1 if j % 2 == 0 else +1
      a__:	Dict     				=      (j * j * 3 - j) // 2
      if index > i:
        break
      item += partitions[i - index] * sign
      item %= number
      index += j
      if index > i:
        break
      item += partitions[i - index] * sign
      item %= number

    if item == 0:
      return i
    partitions.append(_SCREAMING_SNAKE_CASE  )

  return 0


if __name__ == "__main__":
 import doctest

 doctest.testmod()

 print(f"{solution() = }")



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


lowercase__   			=      logging.get_logger(__name__)

lowercase__   			=      {
    'tau/splinter-base': 'https://huggingface.co/tau/splinter-base/resolve/main/config.json',
    'tau/splinter-base-qass': 'https://huggingface.co/tau/splinter-base-qass/resolve/main/config.json',
    'tau/splinter-large': 'https://huggingface.co/tau/splinter-large/resolve/main/config.json',
    'tau/splinter-large-qass': 'https://huggingface.co/tau/splinter-large-qass/resolve/main/config.json',
    # See all Splinter models at https://huggingface.co/models?filter=splinter
}




class   __snake_case			(	__lowerCAmelCase							):
      a__								=						"""splinter"""



      def __init__(		self       ,     lowercase=3_05_22       ,     lowercase=7_68       ,     lowercase=12       ,     lowercase=12       ,     lowercase=30_72       ,     lowercase="gelu"       ,     lowercase=0.1       ,     lowercase=0.1       ,     lowercase=5_12       ,     lowercase=2       ,     lowercase=0.02       ,     lowercase=1e-12       ,     lowercase=True       ,     lowercase=0       ,     lowercase=1_04       ,     **lowercase       ,     )      ->     Union[str, Any]:





        '''simple docstring'''





        super().__init__(pad_token_id=lowercase       ,     **lowercase)

        a__:	Dict     				=      vocab_size
        a__:	Dict     				=      max_position_embeddings
        a__:	Dict     				=      hidden_size
        a__:	int     				=      num_hidden_layers
        a__:	str     				=      num_attention_heads
        a__:	Dict     				=      intermediate_size
        a__:	Tuple     				=      hidden_act
        a__:	Optional[Any]     				=      hidden_dropout_prob
        a__:	List[Any]     				=      attention_probs_dropout_prob
        a__:	Tuple     				=      initializer_range
        a__:	str     				=      type_vocab_size
        a__:	Optional[Any]     				=      layer_norm_eps
        a__:	Any     				=      use_cache
        a__:	List[Any]     				=      question_token_id


