




"""simple docstring"""






class   a__			:





						def __init__(							self      :	List[str]     ,a__      :	str = ""     ,a__      :	bool = False)						->       None:




											"""simple docstring"""







											_lowerCAmelCase:dict[str, RadixNode]									=  {}

											# A node will be a leaf if the tree contains its word
											_lowerCAmelCase:Union[str, Any]									=  is_leaf

											_lowerCAmelCase:List[Any]									=  prefix





						def       __UpperCamelCase     (							self      :	Optional[Any]     ,a__      :	str)						->       tuple[str, str, str]:




											"""simple docstring"""







											_lowerCAmelCase:Optional[int]									=  0
											for q, w in zip(self.prefix     ,a__):
																if q != w:
																					break

																x += 1

											return self.prefix[:x], self.prefix[x:], word[x:]





						def       __UpperCamelCase     (							self      :	List[Any]     ,a__      :	list[str])						->       None:




											"""simple docstring"""







											for word in words:
																self.insert(a__)





						def       __UpperCamelCase     (							self      :	str     ,a__      :	str)						->       None:




											"""simple docstring"""







											if self.prefix == word:
																_lowerCAmelCase:Optional[Any]									=  True

											# Case 2: The node has no edges that have a prefix to the word
											# Solution: We create an edge from the current node to a new one
											# containing the word
											elif word[0] not in self.nodes:
																_lowerCAmelCase:str									=  RadixNode(prefix=a__     ,is_leaf=a__)

											else:
																_lowerCAmelCase:Optional[Any]									=  self.nodes[word[0]]
																_lowerCAmelCase							,   _lowerCAmelCase							,   _lowerCAmelCase:Any									=  incoming_node.match(
																    a__)

																# Case 3: The node prefix is equal to the matching
																# Solution: We insert remaining word on the next node
																if remaining_prefix == "":
																					self.nodes[matching_string[0]].insert(a__)

																# Case 4: The word is greater equal to the matching
																# Solution: Create a node in between both nodes, change
																# prefixes and add the new node for the remaining word
																else:
																					_lowerCAmelCase:str									=  remaining_prefix

																					_lowerCAmelCase:Any									=  self.nodes[matching_string[0]]
																					_lowerCAmelCase:Dict									=  RadixNode(a__     ,a__)
																					_lowerCAmelCase:List[str]									=  aux_node

																					if remaining_word == "":
																										_lowerCAmelCase:Union[str, Any]									=  True
																					else:
																										self.nodes[matching_string[0]].insert(a__)





						def       __UpperCamelCase     (							self      :	Tuple     ,a__      :	str)						->       bool:




											"""simple docstring"""







											_lowerCAmelCase:Optional[int]									=  self.nodes.get(word[0]     ,a__)
											if not incoming_node:
																return False
											else:
																_lowerCAmelCase							,   _lowerCAmelCase							,   _lowerCAmelCase:int									=  incoming_node.match(
																    a__)
																# If there is remaining prefix, the word can't be on the tree
																if remaining_prefix != "":
																					return False
																# This applies when the word and the prefix are equal
																elif remaining_word == "":
																					return incoming_node.is_leaf
																# We have word remaining so we check the next node
																else:
																					return incoming_node.find(a__)





						def       __UpperCamelCase     (							self      :	Union[str, Any]     ,a__      :	str)						->       bool:




											"""simple docstring"""







											_lowerCAmelCase:str									=  self.nodes.get(word[0]     ,a__)
											if not incoming_node:
																return False
											else:
																_lowerCAmelCase							,   _lowerCAmelCase							,   _lowerCAmelCase:List[Any]									=  incoming_node.match(
																    a__)
																# If there is remaining prefix, the word can't be on the tree
																if remaining_prefix != "":
																					return False
																# We have word remaining so we check the next node
																elif remaining_word != "":
																					return incoming_node.delete(a__)
																else:
																					# If it is not a leaf, we don't have to delete
																					if not incoming_node.is_leaf:
																										return False
																					else:
																										# We delete the nodes if no edges go from it
																										if len(incoming_node.nodes) == 0:
																															del self.nodes[word[0]]
																															# We merge the current node with its only child
																															if len(self.nodes) == 1 and not self.is_leaf:
																																				_lowerCAmelCase:Any									=  list(self.nodes.values())[0]
																																				_lowerCAmelCase:Dict									=  merging_node.is_leaf
																																				self.prefix += merging_node.prefix
																																				_lowerCAmelCase:Any									=  merging_node.nodes
                    # If there is more than 1 edge, we just mark it as non-leaf
																										elif len(incoming_node.nodes) > 1:
																															_lowerCAmelCase:Optional[int]									=  False
																										# If there is 1 edge, we merge it with its child
																										else:
																															_lowerCAmelCase:Dict									=  list(incoming_node.nodes.values())[0]
																															_lowerCAmelCase:Any									=  merging_node.is_leaf
																															incoming_node.prefix += merging_node.prefix
																															_lowerCAmelCase:Dict									=  merging_node.nodes

																										return True







						def       __UpperCamelCase     (							self      :	Any     ,a__      :	int = 0)						->       None:




											"""simple docstring"""







											if self.prefix != "":
																print('''-''' * height     ,self.prefix     ,'''  (leaf)''' if self.is_leaf else '''''')

											for value in self.nodes.values():
																value.print_tree(height + 1)





def 							UpperCAmelCase		(		):
					_lowerCAmelCase:Optional[Any]									=  '''banana bananas bandana band apple all beast'''.split()
					_lowerCAmelCase:List[Any]									=  RadixNode()
					root.insert_many(snake_case    )

					assert all(root.find(snake_case    ) for word in words    )
					assert not root.find('''bandanas'''    )
					assert not root.find('''apps'''    )
					root.delete('''all'''    )
					assert not root.find('''all'''    )
					root.delete('''banana'''    )
					assert not root.find('''banana'''    )
					assert root.find('''bananas'''    )

					return True





def 							UpperCAmelCase		(		):
					assert test_trie()





def 							UpperCAmelCase		(		):
					_lowerCAmelCase:Optional[Any]									=  RadixNode()
					_lowerCAmelCase:Optional[Any]									=  '''banana bananas bandanas bandana band apple all beast'''.split()
					root.insert_many(snake_case    )

					print('''Words:'''      ,       snake_case    )
					print('''Tree:'''    )
					root.print_tree()


if __name__ == "__main__":
				main()












"""simple docstring"""






import baseaa





def 							UpperCAmelCase		(		snake_case			:					str    ):
					return baseaa.aaaencode(string.encode('''utf-8'''    )    )





def 							UpperCAmelCase		(		snake_case			:					bytes    ):
					return baseaa.aaadecode(snake_case    ).decode('''utf-8'''    )


if __name__ == "__main__":
				import doctest

				doctest.testmod()






