




lowerCAmelCase_						=			range(2, 20 + 1)
lowerCAmelCase_						=			[10**k for k in range(ks[-1] + 1)]
lowerCAmelCase_						=			{}






def  snake_case(    __magic_name__			,		__magic_name__			,		__magic_name__			,		__magic_name__   )			->							Any:





     '''simple docstring'''


     lowercase :       str       =			sum(a_i[j] for j in range(__magic_name__			,		len(__magic_name__   )   )   )
     lowercase :       Any       =			sum(a_i[j] * base[j] for j in range(min(len(__magic_name__   )			,		__magic_name__   )   )   )

     lowercase      ,	lowercase :       Optional[int]       =			0, 0
     lowercase :       str       =			n - i

     lowercase :       Optional[int]       =			memo.get(__magic_name__   )

     if sub_memo is not None:
          lowercase :       List[str]       =			sub_memo.get(__magic_name__   )

          if jumps is not None and len(__magic_name__   ) > 0:
               # find and make the largest jump without going over
               lowercase :       Dict       =			-1
               for _k in range(len(__magic_name__   ) - 1			,		-1			,		-1   ):
                    if jumps[_k][2] <= k and jumps[_k][1] <= max_dn:
                         lowercase :       Any       =			_k
                         break

               if max_jump >= 0:
                    lowercase      ,	lowercase      ,	lowercase :       List[str]       =			jumps[max_jump]
                    # since the difference between jumps is cached, add c
                    lowercase :       str       =			diff + c
                    for j in range(min(__magic_name__			,		len(__magic_name__   )   )   ):
                         lowercase      ,	lowercase :       Optional[Any]       =			divmod(__magic_name__			,		10   )
                    if new_c > 0:
                         add(__magic_name__			,		__magic_name__			,		__magic_name__   )

          else:
               lowercase :       Dict       =			[]
     else:
          lowercase :       Union[str, Any]       =			{c: []}
          lowercase :       Optional[Any]       =			sub_memo

     if dn >= max_dn or c + diff >= base[k]:
          return diff, dn

     if k > ks[0]:
          while True:
               # keep doing smaller jumps
               lowercase      ,	lowercase :       str       =			next_term(__magic_name__			,		k - 1			,		i + dn			,		__magic_name__   )
               diff += _diff
               dn += terms_jumped

               if dn >= max_dn or c + diff >= base[k]:
                    break
     else:
          # would be too small a jump, just compute sequential terms instead
          lowercase      ,	lowercase :       Optional[Any]       =			compute(__magic_name__			,		__magic_name__			,		i + dn			,		__magic_name__   )
          diff += _diff
          dn += terms_jumped

     lowercase :       Optional[Any]       =			sub_memo[c]

     # keep jumps sorted by # of terms skipped
     lowercase :       List[Any]       =			0
     while j < len(__magic_name__   ):
          if jumps[j][1] > dn:
               break
          j += 1

     # cache the jump for this value digitsum(b) and c
     sub_memo[c].insert(__magic_name__			,		(diff, dn, k)   )
     return (diff, dn)






def  snake_case(    __magic_name__			,		__magic_name__			,		__magic_name__			,		__magic_name__   )			->							Optional[int]:





     '''simple docstring'''


     if i >= n:
          return 0, i
     if k > len(__magic_name__   ):
          a_i.extend([0 for _ in range(k - len(__magic_name__   )   )]   )

     # note: a_i -> b * 10^k + c
     # ds_b -> digitsum(b)
     # ds_c -> digitsum(c)
     lowercase :       Optional[Any]       =			i
     lowercase      ,	lowercase      ,	lowercase :       List[str]       =			0, 0, 0
     for j in range(len(__magic_name__   )   ):
          if j >= k:
               ds_b += a_i[j]
          else:
               ds_c += a_i[j]

     while i < n:
          i += 1
          lowercase :       List[str]       =			ds_c + ds_b
          diff += addend
          lowercase :       Tuple       =			0
          for j in range(__magic_name__   ):
               lowercase :       int       =			a_i[j] + addend
               lowercase      ,	lowercase :       Any       =			divmod(__magic_name__			,		10   )

               ds_c += a_i[j]

          if addend > 0:
               break

     if addend > 0:
          add(__magic_name__			,		__magic_name__			,		__magic_name__   )
     return diff, i - start_i






def  snake_case(    __magic_name__			,		__magic_name__			,		__magic_name__   )			->							Tuple:





     '''simple docstring'''


     for j in range(__magic_name__			,		len(__magic_name__   )   ):
          lowercase :       Any       =			digits[j] + addend
          if s >= 10:
               lowercase      ,	lowercase :       List[str]       =			divmod(__magic_name__			,		10   )
               lowercase :       List[str]       =			addend // 10 + quotient
          else:
               lowercase :       Optional[Any]       =			s
               lowercase :       Tuple       =			addend // 10

          if addend == 0:
               break

     while addend > 0:
          lowercase      ,	lowercase :       str       =			divmod(__magic_name__			,		10   )
          digits.append(__magic_name__   )






def  snake_case(    __magic_name__ = 10**15   )			->							int:





     '''simple docstring'''


     lowercase :       List[Any]       =			[1]
     lowercase :       List[Any]       =			1
     lowercase :       str       =			0
     while True:
          lowercase      ,	lowercase :       str       =			next_term(__magic_name__			,		20			,		i + dn			,		__magic_name__   )
          dn += terms_jumped
          if dn == n - i:
               break

     lowercase :       str       =			0
     for j in range(len(__magic_name__   )   ):
          a_n += digits[j] * 10**j
     return a_n


if __name__ == "__main__":
 print(f'''{solution() = }''')





import copy
from typing import Dict, Optional

from ...configuration_utils import PretrainedConfig
from ...utils import logging
from ..auto import CONFIG_MAPPING
from ..detr import DetrConfig
from ..swin import SwinConfig


lowerCAmelCase_						=			{
    'facebook/maskformer-swin-base-ade': (
        'https://huggingface.co/facebook/maskformer-swin-base-ade/blob/main/config.json'
    )
    # See all MaskFormer models at https://huggingface.co/models?filter=maskformer
}

lowerCAmelCase_						=			logging.get_logger(__name__)
class 						_A (  _lowerCamelCase				):
  _UpperCamelCase       :      int			=      '''maskformer'''
  _UpperCamelCase       :      Union[str, Any]			=      {'''hidden_size''': '''mask_feature_size'''}
  _UpperCamelCase       :      Dict			=      ['''resnet''', '''swin''']
  _UpperCamelCase       :      Optional[int]			=      ['''detr''']






  def __init__(  self		:     Any				,						_A		:     int = 256				,						_A		:     int = 256				,						_A		:     float = 0.1				,						_A		:     bool = False				,						_A		:     Optional[Dict] = None				,						_A		:     Optional[Dict] = None				,						_A		:     float = 0.02				,						_A		:     float = 1.0				,						_A		:     float = 1.0				,						_A		:     float = 1.0				,						_A		:     float = 20.0				,						_A		:     Optional[bool] = None				,						**_A		:     str				,						)		->   str:






       """simple docstring"""







       if backbone_config is None:
            # fall back to https://huggingface.co/microsoft/swin-base-patch4-window12-384-in22k
            lowercase :       List[str]       =			SwinConfig(
                image_size=384				,						in_channels=3				,						patch_size=4				,						embed_dim=128				,						depths=[2, 2, 18, 2]				,						num_heads=[4, 8, 16, 32]				,						window_size=12				,						drop_path_rate=0.3				,						out_features=['''stage1''', '''stage2''', '''stage3''', '''stage4''']				,						)

       if isinstance(_A				,						_A				):
            lowercase :       Optional[int]       =			backbone_config.pop('''model_type'''				)
            lowercase :       List[str]       =			CONFIG_MAPPING[backbone_model_type]
            lowercase :       Union[str, Any]       =			config_class.from_dict(_A				)

       # verify that the backbone is supported
       if backbone_config.model_type not in self.backbones_supported:
            logger.warning_once(
                f"""Backbone {backbone_config.model_type} is not a supported model and may not be compatible with MaskFormer. """
                f"""Supported model types: {','.join(self.backbones_supported				)}"""				)

       if decoder_config is None:
            # fall back to https://huggingface.co/facebook/detr-resnet-50
            lowercase :       Any       =			DetrConfig()
       else:
            # verify that the decoder is supported
            lowercase :       Union[str, Any]       =			(
                decoder_config.pop('''model_type'''				) if isinstance(_A				,						_A				) else decoder_config.model_type
            )
            if decoder_type not in self.decoders_supported:
                 raise ValueError(
                     f"""Transformer Decoder {decoder_type} not supported, please use one of"""
                     f""" {','.join(self.decoders_supported				)}"""				)
            if isinstance(_A				,						_A				):
                 lowercase :       str       =			CONFIG_MAPPING[decoder_type]
                 lowercase :       Dict       =			config_class.from_dict(_A				)

       lowercase :       Tuple       =			backbone_config
       lowercase :       List[Any]       =			decoder_config
       # main feature dimension for the model
       lowercase :       Optional[int]       =			fpn_feature_size
       lowercase :       List[Any]       =			mask_feature_size
       # initializer
       lowercase :       Union[str, Any]       =			init_std
       lowercase :       Tuple       =			init_xavier_std
       # Hungarian matcher && loss
       lowercase :       List[str]       =			cross_entropy_weight
       lowercase :       int       =			dice_weight
       lowercase :       List[Any]       =			mask_weight
       lowercase :       Tuple       =			use_auxiliary_loss
       lowercase :       Tuple       =			no_object_weight
       lowercase :       int       =			output_auxiliary_logits

       lowercase :       List[Any]       =			self.decoder_config.encoder_attention_heads
       lowercase :       List[Any]       =			self.decoder_config.num_hidden_layers
       super().__init__(**_A				)






  @classmethod
  def  __a      (  cls		:     Optional[int]				,						_A		:     PretrainedConfig				,						_A		:     PretrainedConfig				,						**_A		:     str				)		->   Any:






       """simple docstring"""







       return cls(
           backbone_config=_A				,						decoder_config=_A				,						**_A				,						)






  def  __a      (  self		:     Optional[int]				)		->   Dict[str, any]:






       """simple docstring"""







       lowercase :       str       =			copy.deepcopy(self.__dict__				)
       lowercase :       Optional[Any]       =			self.backbone_config.to_dict()
       lowercase :       List[Any]       =			self.decoder_config.to_dict()
       lowercase :       Optional[int]       =			self.__class__.model_type
       return output