





'''simple docstring'''







_a					: Optional[int]      =    {
    """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,
}

_a					: int      =    {1_4_5: 1_4_5}

_a					: Any      =    {
    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    _lowerCAmelCase						(						lowercase	)					->					int:
			if n in CACHE_SUM_DIGIT_FACTORIALS:
						return CACHE_SUM_DIGIT_FACTORIALS[n]
			__lowerCAmelCase											=				sum(DIGIT_FACTORIALS[let] for let in str(lowercase	)	)
			__lowerCAmelCase											=				ret
			return ret





def    _lowerCAmelCase						(						lowercase					,	lowercase = None	)					->					int:
			__lowerCAmelCase											=				previous or set()
			if n in CHAIN_LENGTH_CACHE:
						return CHAIN_LENGTH_CACHE[n]
			__lowerCAmelCase											=				sum_digit_factorials(lowercase	)
			if next_number in previous:
						__lowerCAmelCase											=				0
						return 0
			else:
						previous.add(lowercase	)
						__lowerCAmelCase											=				1 + chain_length(lowercase					,	lowercase	)
						__lowerCAmelCase											=				ret
						return ret





def    _lowerCAmelCase						(						lowercase = 60					,	lowercase = 100_0000	)					->					int:
			return sum(1 for i in range(1					,	lowercase	) if chain_length(lowercase	) == num_terms	)


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








'''simple docstring'''







import unittest
from pathlib import Path
from tempfile import TemporaryDirectory
from unittest.mock import Mock, patch

import diffusers.utils.hub_utils





class     _UpperCAmelCase							(						unittest.TestCase   ):
		@patch("""diffusers.utils.hub_utils.get_full_repo_name"""			)
		def   lowerCamelCase__			(  self,__SCREAMING_SNAKE_CASE			):



					'''simple docstring'''

					__lowerCAmelCase											=				"""full_repo_name"""
					with TemporaryDirectory() as tmpdir:
								# Dummy args values
								__lowerCAmelCase											=				Mock()
								__lowerCAmelCase											=				tmpdir
								__lowerCAmelCase											=				0
								__lowerCAmelCase											=				"""hub_token"""
								__lowerCAmelCase											=				"""dataset_name"""
								__lowerCAmelCase											=				0.01
								__lowerCAmelCase											=				10_00_00
								__lowerCAmelCase											=				1_00_00
								__lowerCAmelCase											=				0.01
								__lowerCAmelCase											=				0.02
								__lowerCAmelCase											=				0.03
								__lowerCAmelCase											=				0.0005
								__lowerCAmelCase											=				0.00_0001
								__lowerCAmelCase											=				1
								__lowerCAmelCase											=				10
								__lowerCAmelCase											=				0.001
								__lowerCAmelCase											=				0.1
								__lowerCAmelCase											=				0.2
								__lowerCAmelCase											=				True

								# Model card mush be rendered and saved
								diffusers.utils.hub_utils.create_model_card(__SCREAMING_SNAKE_CASE,model_name="""model_name"""			)
								self.assertTrue((Path(__SCREAMING_SNAKE_CASE			) / """README.md""").is_file()			)

