




UpperCamelCase__						=		{
    '0': 1,
    '1': 1,
    '2': 2,
    '3': 6,
    '4': 2_4,
    '5': 1_2_0,
    '6': 7_2_0,
    '7': 5_0_4_0,
    '8': 4_0_3_2_0,
    '9': 3_6_2_8_8_0,
}

UpperCamelCase__						=		{1_4_5: 1_4_5}

UpperCamelCase__						=		{
    1_4_5: 0,
    1_6_9: 3,
    3_6_3_0_1: 3,
    1_4_5_4: 3,
    8_7_1: 2,
    4_5_3_6_1: 2,
    8_7_2: 2,
}






def    snake_case   (				A     )				->				int:




	'''simple docstring'''


	if n in CACHE_SUM_DIGIT_FACTORIALS:
		return CACHE_SUM_DIGIT_FACTORIALS[n]
	lowerCamelCase_				:						Dict				  =				sum(DIGIT_FACTORIALS[let] for let in str(A     )     )
	lowerCamelCase_				:						Tuple				  =				ret
	return ret






def    snake_case   (				A		,  A = None     )				->				int:




	'''simple docstring'''


	lowerCamelCase_				:						str				  =				previous or set()
	if n in CHAIN_LENGTH_CACHE:
		return CHAIN_LENGTH_CACHE[n]
	lowerCamelCase_				:						Optional[Any]				  =				sum_digit_factorials(A     )
	if next_number in previous:
		lowerCamelCase_				:						List[str]				  =				0
		return 0
	else:
		previous.add(A     )
		lowerCamelCase_				:						int				  =				1 + chain_length(A		,  A     )
		lowerCamelCase_				:						Any				  =				ret
		return ret






def    snake_case   (				A = 60		,  A = 1000000     )				->				int:




	'''simple docstring'''


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


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






from typing import TYPE_CHECKING

from ...utils import (
    OptionalDependencyNotAvailable,
    _LazyModule,
    is_torch_available,
)


UpperCAmelCase_    ={
    """configuration_bark""": [
        """BARK_PRETRAINED_CONFIG_ARCHIVE_MAP""",
        """BarkCoarseConfig""",
        """BarkConfig""",
        """BarkFineConfig""",
        """BarkSemanticConfig""",
    ],
    """processing_bark""": ["""BarkProcessor"""],
}

try:
		if not is_torch_available():
				raise OptionalDependencyNotAvailable()
except OptionalDependencyNotAvailable:
		pass
else:
		UpperCAmelCase_    =[
		    """BARK_PRETRAINED_MODEL_ARCHIVE_LIST""",
		    """BarkFineModel""",
		    """BarkSemanticModel""",
		    """BarkCoarseModel""",
		    """BarkModel""",
		    """BarkPreTrainedModel""",
		    """BarkCausalModel""",
		]

if TYPE_CHECKING:
		from .configuration_bark import (
		    BARK_PRETRAINED_CONFIG_ARCHIVE_MAP,
		    BarkCoarseConfig,
		    BarkConfig,
		    BarkFineConfig,
		    BarkSemanticConfig,
		)
		from .processing_bark import BarkProcessor

		try:
				if not is_torch_available():
						raise OptionalDependencyNotAvailable()
		except OptionalDependencyNotAvailable:
				pass
		else:
				from .modeling_bark import (
				    BARK_PRETRAINED_MODEL_ARCHIVE_LIST,
				    BarkCausalModel,
				    BarkCoarseModel,
				    BarkFineModel,
				    BarkModel,
				    BarkPreTrainedModel,
				    BarkSemanticModel,
				)

else:
		import sys

		UpperCAmelCase_    =_LazyModule(__name__, globals()["""__file__"""], _import_structure, module_spec=__spec__)



