code: 
  
  
  
  """simple docstring"""
  
  
  
  
  import abc
  import copy
  import dataclasses
  from dataclasses import dataclass
  from typing import ClassVar, Dict, Type, TypeVar
  
  from ..features import Features
  
  
  _lowerCAmelCase       :      Optional[Any]							=							TypeVar("T", bound="TaskTemplate")
  
  
  
  
  
  
  @dataclass(frozen=UpperCamelCase_		)
  class 			UpperCAmelCase_						(       abc.ABC		):
        # `task` is not a ClassVar since we want it to be part of the `asdict` output for JSON serialization
        __SCREAMING_SNAKE_CASE		:     Tuple				  =				4_2
        __SCREAMING_SNAKE_CASE		:     str				  =				4_2
        __SCREAMING_SNAKE_CASE		:     Any				  =				4_2
  
  
  
        def 		snake_case_      (  self  :			Tuple  ,			A  :			int		):
             return copy.deepcopy(self		)
  
  
  
        @property
        def 		snake_case_      (  self  :			Union[str, Any]		):
             return Features(**self.input_schema  ,			**self.label_schema		)
  
  
  
        @property
        @abc.abstractmethod
        def 		snake_case_      (  self  :			str		):
             raise NotImplementedError
  
  
  
        @classmethod
        def 		snake_case_      (  cls  :			Optional[int]  ,			A  :			Tuple		):
             _UpperCAmelCase    :			int              =					{f.name for f in dataclasses.fields(cls		)}
             return cls(**{k: v for k, v in template_dict.items() if k in field_names}		)
  
style_context: 
  
  
  
  """simple docstring"""
  
  
  
  
  _lowerCAmelCase       :      str							=							{
      "0": 1,
      "1": 1,
      "2": 2,
      "3": 6,
      "4": 24,
      "5": 1_20,
      "6": 7_20,
      "7": 50_40,
      "8": 4_03_20,
      "9": 36_28_80,
  }
  
  _lowerCAmelCase       :      Optional[int]							=							{1_45: 1_45}
  
  _lowerCAmelCase       :      int							=							{
      1_45: 0,
      1_69: 3,
      3_63_01: 3,
      14_54: 3,
      8_71: 2,
      4_53_61: 2,
      8_72: 2,
  }
  
  def 		__snake_case		(   SCREAMING_SNAKE_CASE__			:		int       )						->     int:
  
  
  
  
  
       '''simple docstring'''
  
       if n in CACHE_SUM_DIGIT_FACTORIALS:
            return CACHE_SUM_DIGIT_FACTORIALS[n]
       _UpperCAmelCase    :			Dict              =					sum(DIGIT_FACTORIALS[let] for let in str(SCREAMING_SNAKE_CASE__       )       )
       _UpperCAmelCase    :			Any              =					ret
       return ret
  
  def 		__snake_case		(   SCREAMING_SNAKE_CASE__			:		int		,						SCREAMING_SNAKE_CASE__			:		set | None = None       )						->     int:
  
  
  
  
  
       '''simple docstring'''
  
       _UpperCAmelCase    :			Dict              =					previous or set()
       if n in CHAIN_LENGTH_CACHE:
            return CHAIN_LENGTH_CACHE[n]
       _UpperCAmelCase    :			Dict              =					sum_digit_factorials(SCREAMING_SNAKE_CASE__       )
       if next_number in previous:
            _UpperCAmelCase    :			List[str]              =					0
            return 0
       else:
            previous.add(SCREAMING_SNAKE_CASE__       )
            _UpperCAmelCase    :			str              =					1 + chain_length(SCREAMING_SNAKE_CASE__		,						SCREAMING_SNAKE_CASE__       )
            _UpperCAmelCase    :			str              =					ret
            return ret
  
  def 		__snake_case		(   SCREAMING_SNAKE_CASE__			:		int = 60		,						SCREAMING_SNAKE_CASE__			:		int = 1_000_000       )						->     int:
  
  
  
  
  
       '''simple docstring'''
  
       return sum(1 for i in range(1		,						SCREAMING_SNAKE_CASE__       ) if chain_length(SCREAMING_SNAKE_CASE__       ) == num_terms       )
  
  
  if __name__ == "__main__":
   print(F"{solution() = }")
  