
'''simple docstring'''





class     _SCREAMING_SNAKE_CASE							:





				def __init__(		self :		Union[str, Any]					,      snake_case_ :		List[Any]=None							):


								"""simple docstring"""

								A     :  List[Any]   =				data
								A     :  Dict   =				None






				def __repr__(		self :		Optional[Any]							):


								"""simple docstring"""

								A     :  List[str]   =				''''''
								A     :  str   =				self
								while temp:
												string_rep += f"""<{temp.data}> ---> """
												A     :  Union[str, Any]   =				temp.next
								string_rep += "<END>"
								return string_rep





def 							_lowerCamelCase			(					lowerCamelCase_:  Union[str, Any]		):



				'''simple docstring'''







				if not elements_list:
								raise Exception('''The Elements List is empty'''		)

				# Set first element as Head
				A     :  Tuple   =				Node(elements_list[0]		)
				A     :  Dict   =				head
				# Loop through elements from position 1
				for data in elements_list[1:]:
								A     :  Optional[int]   =				Node(lowerCamelCase_		)
								A     :  Union[str, Any]   =				current.next
				return head


UpperCamelCase_  =	[1, 3, 5, 32, 44, 12, 43]
print(F'''List: {list_data}''')
print("Creating Linked List from List.")
UpperCamelCase_  =	make_linked_list(list_data)
print("Linked List:")






print(linked_list)

UpperCamelCase_  =	{
    "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,
}

UpperCamelCase_  =	{1_45: 1_45}

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





def 							_lowerCamelCase			(					lowerCamelCase_:  int		):



				'''simple docstring'''







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





def 							_lowerCamelCase			(					lowerCamelCase_:  int				,	lowerCamelCase_:  set | None = None		):



				'''simple docstring'''







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





def 							_lowerCamelCase			(					lowerCamelCase_:  int = 60				,	lowerCamelCase_:  int = 100_0000		):



				'''simple docstring'''







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


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