



class 							lowerCAmelCase__  :







					def __init__(       self      :     List[Any]):
											A__	:							dict[str, TrieNode]						    = {}  # Mapping from char to TrieNode
											A__	:							Optional[int]						    = False







					def  _lowercase			(       self      :     Dict			,		_A      :     list[str]):
											for word in words:
																	self.insert(_A)







					def  _lowercase			(       self      :     Optional[int]			,		_A      :     str):
											A__	:							int						    = self
											for char in word:
																	if char not in curr.nodes:
																							A__	:							str						    = TrieNode()
																	A__	:							Any						    = curr.nodes[char]
											A__	:							Any						    = True







					def  _lowercase			(       self      :     int			,		_A      :     str):
											A__	:							List[str]						    = self
											for char in word:
																	if char not in curr.nodes:
																							return False
																	A__	:							Tuple						    = curr.nodes[char]
											return curr.is_leaf







					def  _lowercase			(       self      :     Dict			,		_A      :     str):

											def _delete(_A      :     TrieNode			,		_A      :     str			,		_A      :     int) -> bool:
																	if index == len(_A):
																							# If word does not exist
																							if not curr.is_leaf:
																													return False
																							A__	:							Tuple						    = False
																							return len(curr.nodes) == 0
																	A__	:							Optional[int]						    = word[index]
																	A__	:							Any						    = curr.nodes.get(_A)
																	# If char not in current trie node
																	if not char_node:
																							return False
																	# Flag to check if node can be deleted
																	A__	:							Tuple						    = _delete(_A			,		_A			,		index + 1)
																	if delete_curr:
																							del curr.nodes[char]
																							return len(curr.nodes) == 0
																	return delete_curr

											_delete(self			,		_A			,		0)




def 	snake_case__       (					__lowercase							,     __lowercase       )		->		None:







						"""simple docstring"""

						if node.is_leaf:
												print(__lowercase							,     end=" "       )

						for key, value in node.nodes.items():
												print_words(__lowercase							,     word + key       )
def 	snake_case__       (					)		->		bool:







						"""simple docstring"""

						A__	:							Union[str, Any]						    = "banana bananas bandana band apple all beast".split()
						A__	:							Optional[int]						    = TrieNode()
						root.insert_many(__lowercase       )
						# print_words(root, "")
						assert all(root.find(__lowercase       ) for word in words       )
						assert root.find("banana"       )
						assert not root.find("bandanas"       )
						assert not root.find("apps"       )
						assert root.find("apple"       )
						assert root.find("all"       )
						root.delete("all"       )
						assert not root.find("all"       )
						root.delete("banana"       )
						assert not root.find("banana"       )
						assert root.find("bananas"       )
						return True
def 	snake_case__       (					__lowercase							,     __lowercase       )		->		None:







						"""simple docstring"""

						print(str(__lowercase       )							,     "works!" if passes else "doesn't work :("       )
def 	snake_case__       (					)		->		None:







						"""simple docstring"""

						assert test_trie()
def 	snake_case__       (					)		->		None:







						"""simple docstring"""

						print_results("Testing trie functionality"							,     test_trie()       )


if __name__ == "__main__":
		main()




def 	snake_case__       (					__lowercase       )		->		int:







						"""simple docstring"""

						if divisor % 5 == 0 or divisor % 2 == 0:
												return 0
						A__	:							Tuple						    = 1
						A__	:							Union[str, Any]						    = 1
						while repunit:
												A__	:							Union[str, Any]						    = (1_0 * repunit + 1) % divisor
												repunit_index += 1
						return repunit_index
def 	snake_case__       (					__lowercase = 1_0_0_0_0_0_0       )		->		int:







						"""simple docstring"""

						A__	:							Dict						    = limit - 1
						if divisor % 2 == 0:
												divisor += 1
						while least_divisible_repunit(__lowercase       ) <= limit:
												divisor += 2
						return divisor


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