lowerCAmelCase__					:       Tuple		=       {
    '''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__					:       int		=       {1_45: 1_45}

lowerCAmelCase__					:       Optional[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 			UpperCamelCase__						(    A__   )       -> int:
				if n in CACHE_SUM_DIGIT_FACTORIALS:
								return CACHE_SUM_DIGIT_FACTORIALS[n]
				snake_case__ :     List[str] 							=				sum(DIGIT_FACTORIALS[let] for let in str(A__   )   )
				snake_case__ :     List[Any] 							=				ret
				return ret
def 			UpperCamelCase__						(    A__      ,			A__ = None   )       -> int:
				snake_case__ :     List[Any] 							=				previous or set()
				if n in CHAIN_LENGTH_CACHE:
								return CHAIN_LENGTH_CACHE[n]
				snake_case__ :     int 							=				sum_digit_factorials(A__   )
				if next_number in previous:
								snake_case__ :     List[Any] 							=				0
								return 0
				else:
								previous.add(A__   )
								snake_case__ :     int 							=				1 + chain_length(A__      ,			A__   )
								snake_case__ :     str 							=				ret
								return ret
def 			UpperCamelCase__						(    A__ = 60      ,			A__ = 100_0000   )       -> int:
				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_sentencepiece_available, is_tokenizers_available


lowerCAmelCase__					:       Optional[int]		=       {}

try:
				if not is_sentencepiece_available():
								raise OptionalDependencyNotAvailable()
except OptionalDependencyNotAvailable:
				pass
else:
				lowerCAmelCase__					:       Tuple		=       ['''MBart50Tokenizer''']

try:
				if not is_tokenizers_available():
								raise OptionalDependencyNotAvailable()
except OptionalDependencyNotAvailable:
				pass
else:
				lowerCAmelCase__					:       Tuple		=       ['''MBart50TokenizerFast''']


if TYPE_CHECKING:
				try:
								if not is_sentencepiece_available():
												raise OptionalDependencyNotAvailable()
				except OptionalDependencyNotAvailable:
								pass
				else:
								from .tokenization_mbartaa import MBartaaTokenizer

				try:
								if not is_tokenizers_available():
												raise OptionalDependencyNotAvailable()
				except OptionalDependencyNotAvailable:
								pass
				else:
								from .tokenization_mbartaa_fast import MBartaaTokenizerFast

else:
				import sys

				lowerCAmelCase__					:       Optional[int]		=       _LazyModule(__name__, globals()['''__file__'''], _import_structure, module_spec=__spec__)


