


from __future__ import annotations

a			:			List[Any]												=					'''#'''
class 						lowerCamelCase_							:



					'''simple docstring'''







					def __init__(					self    ) ->      None:







								'''simple docstring'''

								__lowercase			       = {}






					def A   (					self			,							snake_case_    ) ->      None:







								'''simple docstring'''

								__lowercase			       = self._trie
								for char in text:
											if char not in trie:
														__lowercase			       = {}
											__lowercase			       = trie[char]
								__lowercase			       = True






					def A   (					self			,							snake_case_    ) ->      tuple | list:







								'''simple docstring'''

								__lowercase			       = self._trie
								for char in prefix:
											if char in trie:
														__lowercase			       = trie[char]
											else:
														return []
								return self._elements(snake_case_    )






					def A   (					self			,							snake_case_    ) ->      tuple:







								'''simple docstring'''

								__lowercase			       = []
								for c, v in d.items():
											__lowercase			       = [''' '''] if c == END else [(c + s) for s in self._elements(snake_case_    )]
											result.extend(snake_case_    )
								return tuple(snake_case_    )




a			:			Dict												=					Trie()
a			:			Union[str, Any]												=					('''depart''', '''detergent''', '''daring''', '''dog''', '''deer''', '''deal''')
for word in words:
	trie.insert_word(word)


def 		lowercase_	(  _UpperCamelCase	):


			'''simple docstring'''







			__lowercase			       = trie.find_word(_UpperCamelCase	)
			return tuple(string + word for word in suffixes	)


def 		lowercase_	(  ):


			'''simple docstring'''







			print(autocomplete_using_trie('''de'''	)	)


if __name__ == "__main__":
	import doctest

	doctest.testmod()
	main()






a			:			Any												=					[sum(int(c, 10) ** 2 for c in i.__str__()) for i in range(100000)]


def 		lowercase_	(  _UpperCamelCase	):


			'''simple docstring'''







			__lowercase			       = 0
			while number:
						# Increased Speed Slightly by checking every 5 digits together.
						sum_of_digits_squared += DIGITS_SQUARED[number % 10_00_00]
						number //= 10_00_00

			return sum_of_digits_squared


# There are 2 Chains made,
# One ends with 89 with the chain member 58 being the one which when declared first,
# there will be the least number of iterations for all the members to be checked.

# The other one ends with 1 and has only one element 1.

# So 58 and 1 are chosen to be declared at the starting.

# Changed dictionary to an array to quicken the solution
a			:			list[bool | None]												=					[None] * 10000000
a			:			int												=					True
a			:			Any												=					False


def 		lowercase_	(  _UpperCamelCase	):


			'''simple docstring'''







			if CHAINS[number - 1] is not None:
						return CHAINS[number - 1]  # type: ignore

			__lowercase			       = chain(next_number(_UpperCamelCase	)	)
			__lowercase			       = number_chain

			while number < 10_00_00_00:
						__lowercase			       = number_chain
						number *= 10

			return number_chain


def 		lowercase_	(  _UpperCamelCase = 10_00_00_00	):


			'''simple docstring'''







			for i in range(1							,      _UpperCamelCase	):
						if CHAINS[i] is None:
									chain(i + 1	)

			return CHAINS[:number].count(_UpperCamelCase	)


if __name__ == "__main__":
	import doctest

	doctest.testmod()
	print(f'''{solution() = }''')


