

"""simple docstring"""




from __future__ import annotations

__UpperCAmelCase =				'#'







class      __lowercase			:

  '''simple docstring'''





  def __init__(  self		:			Tuple    ):






   '''simple docstring'''
   UpperCAmelCase__					:  int					   =					{}

  def    __lowercase       (  self		:			Dict					,A		:			List[str]    ):






   '''simple docstring'''
   UpperCAmelCase__					:  List[str]					   =					self._trie
   for char in text:
    if char not in trie:
     UpperCAmelCase__					:  Tuple					   =					{}
    UpperCAmelCase__					:  Tuple					   =					trie[char]
   UpperCAmelCase__					:  Optional[int]					   =					True

  def    __lowercase       (  self		:			str					,A		:			Union[str, Any]    ):






   '''simple docstring'''
   UpperCAmelCase__					:  str					   =					self._trie
   for char in prefix:
    if char in trie:
     UpperCAmelCase__					:  List[Any]					   =					trie[char]
    else:
     return []
   return self._elements(SCREAMING_SNAKE_CASE_    )




  def    __lowercase       (  self		:			Union[str, Any]					,A		:			int    ):






   '''simple docstring'''
   UpperCAmelCase__					:  Optional[Any]					   =					[]
   for c, v in d.items():
    UpperCAmelCase__					:  List[str]					   =					[""" """] if c == END else [(c + s) for s in self._elements(SCREAMING_SNAKE_CASE_    )]
    result.extend(SCREAMING_SNAKE_CASE_    )
   return tuple(SCREAMING_SNAKE_CASE_    )







__UpperCAmelCase =				Trie()
__UpperCAmelCase =				('depart', 'detergent', 'daring', 'dog', 'deer', 'deal')
for word in words:
      trie.insert_word(word)
def   lowerCAmelCase						(					__UpperCamelCase      ):
 '''simple docstring'''





 UpperCAmelCase__					:  str					   =					trie.find_word(__a      )
 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   lowerCAmelCase						(					__UpperCamelCase = 1000      ):
 '''simple docstring'''





 return sum(2 * a * ((a - 1) // 2) for a in range(3							,    n + 1      )      )


if __name__ == "__main__":
      print(solution())





