



"""simple docstring"""





from __future__ import annotations

__lowerCAmelCase							:       Optional[Any]          =       '''#'''



class  _lowerCAmelCase     :





		"""simple docstring"""






		def __init__(       self )			->    None:







								'''simple docstring'''

								snake_case_ :			dict            =      {}





		def  UpperCAmelCase__				(       self				,     _lowercase )			->    None:







								'''simple docstring'''

								snake_case_ :			Optional[int]            =      self._trie
								for char in text:
														if char not in trie:
																				snake_case_ :			Dict            =      {}
														snake_case_ :			List[str]            =      trie[char]
								snake_case_ :			List[Any]            =      True





		def  UpperCAmelCase__				(       self				,     _lowercase )			->    tuple | list:







								'''simple docstring'''

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





		def  UpperCAmelCase__				(       self				,     _lowercase )			->    tuple:







								'''simple docstring'''

								snake_case_ :			Optional[Any]            =      []
								for c, v in d.items():
														snake_case_ :			str            =      [""" """] if c == END else [(c + s) for s in self._elements(_lowercase )]
														result.extend(_lowercase )
								return tuple(_lowercase )




__lowerCAmelCase							:       List[str]          =       Trie()
__lowerCAmelCase							:       List[str]          =       ('''depart''', '''detergent''', '''daring''', '''dog''', '''deer''', '''deal''')
for word in words:
					trie.insert_word(word)
def 						__lowerCAmelCase    (		__UpperCamelCase   :      str     ):


						'''simple docstring'''






						snake_case_ :			int            =      trie.find_word(__UpperCamelCase     )
						return tuple(string + word for word in suffixes     )
def 						__lowerCAmelCase    (		):


						'''simple docstring'''






						print(autocomplete_using_trie("""de"""     )     )


if __name__ == "__main__":
					import doctest

					doctest.testmod()
					main()








'''simple docstring'''






def 					_a						(       _lowerCamelCase = 100 ) ->				int:



			"""simple docstring"""


			__snake_case					:      Any							      =     n * (n + 1) * (2 * n + 1) / 6
			__snake_case					:      List[Any]							      =     (n * (n + 1) / 2) ** 2
			return int(square_of_sum - sum_of_squares )


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


