"""simple docstring"""







def 						__UpperCAmelCase       (					UpperCAmelCase_					:       list[int]    ,							UpperCAmelCase_					:       list[int]    ,							UpperCAmelCase_					:       int						)							->    bool:

	'''simple docstring'''





	return not any(
	    neighbour == 1 and colored_vertices[i] == color
	    for i, neighbour in enumerate(UpperCAmelCase_						)						)
def 						__UpperCAmelCase       (					UpperCAmelCase_					:       list[list[int]]    ,							UpperCAmelCase_					:       int    ,							UpperCAmelCase_					:       list[int]    ,							UpperCAmelCase_					:       int						)							->    bool:

	'''simple docstring'''





	if index == len(UpperCAmelCase_						):
		return True

	# Recursive Step
	for i in range(UpperCAmelCase_						):
		if valid_coloring(graph[index]    ,							UpperCAmelCase_    ,							UpperCAmelCase_						):
			# Color current vertex
			__snake_case    :							Optional[Any]   	=				i
			# Validate coloring
			if util_color(UpperCAmelCase_    ,							UpperCAmelCase_    ,							UpperCAmelCase_    ,							index + 1						):
				return True
			# Backtrack
			__snake_case    :							Union[str, Any]   	=				-1
	return False

def 						__UpperCAmelCase       (					UpperCAmelCase_					:       list[list[int]]    ,							UpperCAmelCase_					:       int						)							->    list[int]:

	'''simple docstring'''





	__snake_case    :							Dict   	=				[-1] * len(UpperCAmelCase_						)

	if util_color(UpperCAmelCase_    ,							UpperCAmelCase_    ,							UpperCAmelCase_    ,							0						):
		return colored_vertices

	return []






"""simple docstring"""







from __future__ import annotations

_a  :  str=				"#"

class 	UpperCamelCase    :



				def __init__(self       :   str)					->			None:
					__snake_case    :							dict   	=				{}



				def       _lowercase  (self       :   Union[str, Any]			,						_A       :   str)					->			None:
					__snake_case    :							Optional[Any]   	=				self._trie
					for char in text:
						if char not in trie:
							__snake_case    :							Optional[int]   	=				{}
						__snake_case    :							Optional[int]   	=				trie[char]
					__snake_case    :							Optional[int]   	=				True



				def       _lowercase  (self       :   List[str]			,						_A       :   str)					->			tuple | list:
					__snake_case    :							str   	=				self._trie
					for char in prefix:
						if char in trie:
							__snake_case    :							Optional[int]   	=				trie[char]
						else:
							return []
					return self._elements(_A)






				def       _lowercase  (self       :   List[Any]			,						_A       :   dict)					->			tuple:
					__snake_case    :							str   	=				[]
					for c, v in d.items():
						__snake_case    :							Optional[Any]   	=				[' '] if c == END else [(c + s) for s in self._elements(_A)]
						result.extend(_A)
					return tuple(_A)







_a  :  str=				Trie()
_a  :  Any=				("depart", "detergent", "daring", "dog", "deer", "deal")
for word in words:
	trie.insert_word(word)
def 						__UpperCAmelCase       (					UpperCAmelCase_					:       str						)							->    tuple:

	'''simple docstring'''





	__snake_case    :							Optional[int]   	=				trie.find_word(UpperCAmelCase_						)
	return tuple(string + word for word in suffixes						)
def 						__UpperCAmelCase       (					)							->    None:

	'''simple docstring'''





	print(autocomplete_using_trie('de'						)						)


if __name__ == "__main__":
	import doctest

	doctest.testmod()
	main()





