






"""simple docstring"""


import abc
import copy
import dataclasses
from dataclasses import dataclass
from typing import ClassVar, Dict, Type, TypeVar

from ..features import Features


lowercase_								=	TypeVar('T', bound='TaskTemplate')


@dataclass(frozen=_lowerCAmelCase		)
class    snake_case						(				abc.ABC		):


   '''simple docstring'''

   A_		:      str
   A_		:      ClassVar[Features]
   A_		:      ClassVar[Features]


   def 							_SCREAMING_SNAKE_CASE							(      self					:	T,			_lowerCamelCase					:	Features    ):

     '''simple docstring'''
     return copy.deepcopy(self    )


   @property
   def 							_SCREAMING_SNAKE_CASE							(      self					:	Tuple    ):

     '''simple docstring'''
     return Features(**self.input_schema,			**self.label_schema    )


   @property
   @abc.abstractmethod
   def 							_SCREAMING_SNAKE_CASE							(      self					:	Any    ):

     '''simple docstring'''
     raise NotImplementedError






   @classmethod
   def 							_SCREAMING_SNAKE_CASE							(      cls					:	Type[T],			_lowerCamelCase					:	dict    ):

     '''simple docstring'''
     __A		     =					{f.name for f in dataclasses.fields(cls    )}
     return cls(**{k: v for k, v in template_dict.items() if k in field_names}    )






_A       =					{
    "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,
}

_A       =					{1_45: 1_45}

_A       =					{
    1_45: 0,
    1_69: 3,
    3_63_01: 3,
    14_54: 3,
    8_71: 2,
    4_53_61: 2,
    8_72: 2,
}



def 		lowercase_     (  A__						)				->				int:
    """simple docstring"""

    if n in CACHE_SUM_DIGIT_FACTORIALS:
        return CACHE_SUM_DIGIT_FACTORIALS[n]
    snake_case						=   sum(DIGIT_FACTORIALS[let] for let in str(A__						)						)
    snake_case						=   ret
    return ret



def 		lowercase_     (  A__					,						A__ = None						)				->				int:
    """simple docstring"""

    snake_case						=   previous or set()
    if n in CHAIN_LENGTH_CACHE:
        return CHAIN_LENGTH_CACHE[n]
    snake_case						=   sum_digit_factorials(A__						)
    if next_number in previous:
        snake_case						=   0
        return 0
    else:
        previous.add(A__						)
        snake_case						=   1 + chain_length(A__					,						A__						)
        snake_case						=   ret
        return ret



def 		lowercase_     (  A__ = 60					,						A__ = 100_0000						)				->				int:
    """simple docstring"""

    return sum(1 for i in range(1					,						A__						) if chain_length(A__						) == num_terms						)


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

