






from __future__ import annotations

snake_case__      :	Union[str, Any]       	=      """#"""


class 						_a       :






		"""simple docstring"""





		def __init__(     self )			-> None:
					UpperCamelCase_									=     {}




		def    _UpperCAmelCase     (     self		,		_UpperCAmelCase )			-> None:
					UpperCamelCase_									=     self._trie
					for char in text:
								if char not in trie:
											UpperCamelCase_									=     {}
								UpperCamelCase_									=     trie[char]
					UpperCamelCase_									=     True




		def    _UpperCAmelCase     (     self		,		_UpperCAmelCase )			-> tuple | list:
					UpperCamelCase_									=     self._trie
					for char in prefix:
								if char in trie:
											UpperCamelCase_									=     trie[char]
								else:
											return []
					return self._elements(lowerCAmelCase__ )




		def    _UpperCAmelCase     (     self		,		_UpperCAmelCase )			-> tuple:
					UpperCamelCase_									=     []
					for c, v in d.items():
								UpperCamelCase_									=     [' '] if c == END else [(c + s) for s in self._elements(lowerCAmelCase__ )]
								result.extend(lowerCAmelCase__ )
					return tuple(lowerCAmelCase__ )




snake_case__      :	int       	=      Trie()
snake_case__      :	List[str]       	=      ("""depart""", """detergent""", """daring""", """dog""", """deer""", """deal""")
for word in words:
	trie.insert_word(word)






def     _snake_case    (__lowercase):
			UpperCamelCase_									=     trie.find_word(__A)
			return tuple(string + word for word in suffixes)






def     _snake_case    ():
			print(autocomplete_using_trie('de'))


if __name__ == "__main__":
	import doctest

	doctest.testmod()
	main()













def     _snake_case    (__lowercase    ,      __lowercase):
   _enforce_args(__lowercase    ,      __lowercase)
   if n == 0:
      return 0
   UpperCamelCase_									=     float('-inf')
   for i in range(1    ,      n + 1):
      UpperCamelCase_									=     max(
          __lowercase    ,      prices[i - 1] + naive_cut_rod_recursive(n - i    ,      __lowercase))

   return max_revue






def     _snake_case    (__lowercase    ,      __lowercase):
   _enforce_args(__lowercase    ,      __lowercase)
   UpperCamelCase_									=     [float('-inf') for _ in range(n + 1)]
   return _top_down_cut_rod_recursive(__lowercase    ,      __lowercase    ,      __lowercase)






def     _snake_case    (__lowercase    ,      __lowercase    ,      __lowercase):
   if max_rev[n] >= 0:
      return max_rev[n]
   elif n == 0:
      return 0
   else:
      UpperCamelCase_									=     float('-inf')
      for i in range(1    ,      n + 1):
         UpperCamelCase_									=     max(
             __lowercase    ,      prices[i - 1] + _top_down_cut_rod_recursive(n - i    ,      __lowercase    ,      __lowercase)    ,      )

      UpperCamelCase_									=     max_revenue

   return max_rev[n]






def     _snake_case    (__lowercase    ,      __lowercase):
   _enforce_args(__lowercase    ,      __lowercase)

   # length(max_rev) = n + 1, to accommodate for the revenue obtainable from a rod of
   # length 0.
   UpperCamelCase_									=     [float('-inf') for _ in range(n + 1)]
   UpperCamelCase_									=     0

   for i in range(1    ,      n + 1):
      UpperCamelCase_									=     max_rev[i]
      for j in range(1    ,      i + 1):
         UpperCamelCase_									=     max(__lowercase    ,      prices[j - 1] + max_rev[i - j])

      UpperCamelCase_									=     max_revenue_i

   return max_rev[n]






def     _snake_case    (__lowercase    ,      __lowercase):
   if n < 0:
      UpperCamelCase_									=     f"""n must be greater than or equal to 0. Got n = {n}"""
      raise ValueError(__lowercase)

   if n > len(__lowercase):
      UpperCamelCase_									=     (
          'Each integral piece of rod must have a corresponding price. '
          f"""Got n = {n} but length of prices = {len(__lowercase)}"""
      )
      raise ValueError(__lowercase)






def     _snake_case    ():
   UpperCamelCase_									=     [6, 10, 12, 15, 20, 23]
   UpperCamelCase_									=     len(__lowercase)

   # the best revenue comes from cutting the rod into 6 pieces, each
   # of length 1 resulting in a revenue of 6 * 6 = 36.
   UpperCamelCase_									=     36

   UpperCamelCase_									=     top_down_cut_rod(__lowercase    ,      __lowercase)
   UpperCamelCase_									=     bottom_up_cut_rod(__lowercase    ,      __lowercase)
   UpperCamelCase_									=     naive_cut_rod_recursive(__lowercase    ,      __lowercase)

   assert expected_max_revenue == max_rev_top_down
   assert max_rev_top_down == max_rev_bottom_up
   assert max_rev_bottom_up == max_rev_naive


if __name__ == "__main__":
 main()





