
class 							lowerCAmelCase_						:




			'''simple docstring'''


			def __init__(	self    ,							__UpperCAmelCase = ""    ,							__UpperCAmelCase = False  ):
										SCREAMING_SNAKE_CASE_	:							dict[str, RadixNode]											={}

										# A node will be a leaf if the tree contains its word
										SCREAMING_SNAKE_CASE_	:							int											=is_leaf

										SCREAMING_SNAKE_CASE_	:							List[str]											=prefix







			def      __lowerCamelCase    (	self    ,							__UpperCAmelCase  ):
										SCREAMING_SNAKE_CASE_	:							Union[str, Any]											=0
										for q, w in zip(self.prefix    ,							__UpperCAmelCase  ):
																	if q != w:
																								break

																	x += 1

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







			def      __lowerCamelCase    (	self    ,							__UpperCAmelCase  ):





										for word in words:
																	self.insert(__UpperCAmelCase  )







			def      __lowerCamelCase    (	self    ,							__UpperCAmelCase  ):





										if self.prefix == word:
																	SCREAMING_SNAKE_CASE_	:							Dict											=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:
																	SCREAMING_SNAKE_CASE_	:							str											=RadixNode(prefix=__UpperCAmelCase    ,							is_leaf=__UpperCAmelCase  )

										else:
																	SCREAMING_SNAKE_CASE_	:							Tuple											=self.nodes[word[0]]
																	SCREAMING_SNAKE_CASE_	:							Optional[Any]											=incoming_node.match(
																	    __UpperCAmelCase  )

																	# 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(__UpperCAmelCase  )

																	# 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:
																								SCREAMING_SNAKE_CASE_	:							List[str]											=remaining_prefix

																								SCREAMING_SNAKE_CASE_	:							Union[str, Any]											=self.nodes[matching_string[0]]
																								SCREAMING_SNAKE_CASE_	:							List[Any]											=RadixNode(__UpperCAmelCase    ,							__UpperCAmelCase  )
																								SCREAMING_SNAKE_CASE_	:							str											=aux_node

																								if remaining_word == "":
																															SCREAMING_SNAKE_CASE_	:							int											=True
																								else:
																															self.nodes[matching_string[0]].insert(__UpperCAmelCase  )







			def      __lowerCamelCase    (	self    ,							__UpperCAmelCase  ):
										SCREAMING_SNAKE_CASE_	:							Optional[Any]											=self.nodes.get(word[0]    ,							__UpperCAmelCase  )
										if not incoming_node:
																	return False
										else:
																	SCREAMING_SNAKE_CASE_	:							str											=incoming_node.match(
																	    __UpperCAmelCase  )
																	# 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(__UpperCAmelCase  )







			def      __lowerCamelCase    (	self    ,							__UpperCAmelCase  ):
										SCREAMING_SNAKE_CASE_	:							Optional[int]											=self.nodes.get(word[0]    ,							__UpperCAmelCase  )
										if not incoming_node:
																	return False
										else:
																	SCREAMING_SNAKE_CASE_	:							Any											=incoming_node.match(
																	    __UpperCAmelCase  )
																	# 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(__UpperCAmelCase  )
																	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:
																																													SCREAMING_SNAKE_CASE_	:							Tuple											=list(self.nodes.values()  )[0]
																																													SCREAMING_SNAKE_CASE_	:							int											=merging_node.is_leaf
																																													self.prefix += merging_node.prefix
																																													SCREAMING_SNAKE_CASE_	:							Any											=merging_node.nodes
                    # If there is more than 1 edge, we just mark it as non-leaf
																															elif len(incoming_node.nodes  ) > 1:
																																						SCREAMING_SNAKE_CASE_	:							Optional[int]											=False
																															# If there is 1 edge, we merge it with its child
																															else:
																																						SCREAMING_SNAKE_CASE_	:							Union[str, Any]											=list(incoming_node.nodes.values()  )[0]
																																						SCREAMING_SNAKE_CASE_	:							Optional[Any]											=merging_node.is_leaf
																																						incoming_node.prefix += merging_node.prefix
																																						SCREAMING_SNAKE_CASE_	:							Optional[int]											=merging_node.nodes

																															return True







			def      __lowerCamelCase    (	self    ,							__UpperCAmelCase = 0  ):





										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    SCREAMING_SNAKE_CASE__		( )    ->   List[Any]:







							"""simple docstring"""






							SCREAMING_SNAKE_CASE_	:							Optional[int]											="banana bananas bandana band apple all beast".split()
							SCREAMING_SNAKE_CASE_	:							Tuple											=RadixNode()
							root.insert_many(lowerCAmelCase_							)

							assert all(root.find(lowerCAmelCase_							) 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    SCREAMING_SNAKE_CASE__		( )    ->   int:







							"""simple docstring"""






							assert test_trie()
def    SCREAMING_SNAKE_CASE__		( )    ->   Tuple:







							"""simple docstring"""






							SCREAMING_SNAKE_CASE_	:							Optional[int]											=RadixNode()
							SCREAMING_SNAKE_CASE_	:							Union[str, Any]											="banana bananas bandanas bandana band apple all beast".split()
							root.insert_many(lowerCAmelCase_							)

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


if __name__ == "__main__":
							main()









'''simple docstring'''


def 		_lowercase (SCREAMING_SNAKE_CASE       ,					SCREAMING_SNAKE_CASE = " "							):




     '''simple docstring'''





     __A	:       List[str]      =							[]

     __A	:       Tuple      =							0
     for index, char in enumerate(SCREAMING_SNAKE_CASE							):
          if char == separator:
               split_words.append(string[last_index:index]							)
               __A	:       Union[str, Any]      =							index + 1
          elif index + 1 == len(SCREAMING_SNAKE_CASE							):
               split_words.append(string[last_index : index + 1]							)
     return split_words


if __name__ == "__main__":
      from doctest import testmod

      testmod()

