

from __future__ import annotations

lowerCAmelCase     :   Tuple						     =  """#"""
class  _A		:

  def __init__(				self					):





        """simple docstring"""







        SCREAMING_SNAKE_CASE_				:  Any           =     {}

  def  UpperCAmelCase    (				self ,					_SCREAMING_SNAKE_CASE					):





        """simple docstring"""







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

  def  UpperCAmelCase    (				self ,					_SCREAMING_SNAKE_CASE					):





        """simple docstring"""







        SCREAMING_SNAKE_CASE_				:  List[str]           =     self._trie
        for char in prefix:
              if char in trie:
                    SCREAMING_SNAKE_CASE_				:  Tuple           =     trie[char]
              else:
                    return []
        return self._elements(snake_case_					)



  def  UpperCAmelCase    (				self ,					_SCREAMING_SNAKE_CASE					):





        """simple docstring"""







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

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

def    A_  (							a  ):

      """simple docstring"""



      SCREAMING_SNAKE_CASE_				:  List[str]           =     trie.find_word(a  )
      return tuple(string + word for word in suffixes  )

def    A_  (							):

      """simple docstring"""



      print(autocomplete_using_trie('de'  )  )


if __name__ == "__main__":
 import doctest

 doctest.testmod()
 main()









def    A_  (							a  ):

      """simple docstring"""



      if upper_limit < 0:
            raise ValueError('Limit for the Catalan sequence must be ≥ 0'  )

      SCREAMING_SNAKE_CASE_				:  List[str]           =     [0] * (upper_limit + 1)

      # Base case: C(0) = C(1) = 1
      SCREAMING_SNAKE_CASE_				:  Any           =     1
      if upper_limit > 0:
            SCREAMING_SNAKE_CASE_				:  int           =     1

      # Recurrence relation: C(i) = sum(C(j).C(i-j-1)), from j = 0 to i
      for i in range(2					,   upper_limit + 1  ):
            for j in range(a  ):
                  catalan_list[i] += catalan_list[j] * catalan_list[i - j - 1]

      return catalan_list


if __name__ == "__main__":
    print('\n********* Catalan Numbers Using Dynamic Programming ************\n')
    print('\n*** Enter -1 at any time to quit ***')
    print('\nEnter the upper limit (≥ 0) for the Catalan number sequence: ', end='')
    try:
        while True:
            lowerCAmelCase     :   Union[str, Any]						     =  int(input().strip())
            if N < 0:
                print('\n********* Goodbye!! ************')
                break
            else:
                print(F'The Catalan numbers from 0 through {N} are:')
                print(catalan_numbers(N))
                print('Try another upper limit for the sequence: ', end='')
    except (NameError, ValueError):
        print('\n********* Invalid input, goodbye! ************\n')

    import doctest

    doctest.testmod()






