






"""simple docstring"""
class      SCREAMING_SNAKE_CASE  :





	"""simple docstring"""




	def __init__(self     ,     lowerCAmelCase_ = ""     ,     lowerCAmelCase_ = False							):
		# Mapping from the first character of the prefix of the node
		A_		:						dict[str, RadixNode]	    =   {}

		# A node will be a leaf if the tree contains its word
		A_		:						Optional[int]	    =   is_leaf

		A_		:						Tuple	    =   prefix





	def    lowerCamelCase(self     ,     lowerCAmelCase_							):
		A_		:						Union[str, Any]	    =   0
		for q, w in zip(self.prefix     ,     lowerCAmelCase_							):
			if q != w:
				break

			x += 1

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





	def    lowerCamelCase(self     ,     lowerCAmelCase_							):
		for word in words:
			self.insert(lowerCAmelCase_							)





	def    lowerCamelCase(self     ,     lowerCAmelCase_							):
		# Case 1: If the word is the prefix of the node
		# Solution: We set the current node as leaf
		if self.prefix == word:
			A_		:						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:
			A_		:						List[str]	    =   RadixNode(prefix=lowerCAmelCase_     ,     is_leaf=lowerCAmelCase_							)

		else:
			A_		:						Any	    =   self.nodes[word[0]]
			A_		:						str	    =   incoming_node.match(
			    lowerCAmelCase_							)

			# 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(lowerCAmelCase_							)

			# 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:
				A_		:						Any	    =   remaining_prefix

				A_		:						List[str]	    =   self.nodes[matching_string[0]]
				A_		:						Union[str, Any]	    =   RadixNode(lowerCAmelCase_     ,     lowerCAmelCase_							)
				A_		:						Optional[int]	    =   aux_node

				if remaining_word == "":
					A_		:						Optional[Any]	    =   True
				else:
					self.nodes[matching_string[0]].insert(lowerCAmelCase_							)





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





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

					return True





	def    lowerCamelCase(self     ,     lowerCAmelCase_ = 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 			__UpperCamelCase	(		):
	A_		:						List[str]	    =   "banana bananas bandana band apple all beast".split()
	A_		:						Optional[int]	    =   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 			__UpperCamelCase	(		):
	assert test_trie()






def 			__UpperCamelCase	(		):
	A_		:						List[str]	    =   RadixNode()
	A_		:						List[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"""
_lowerCAmelCase         =							{"a": ["c", "b"], "b": ["d", "e"], "c": [], "d": [], "e": []}
_lowerCAmelCase         =							["a", "b", "c", "d", "e"]






def 			__UpperCamelCase	(		snake_case__   ,   snake_case__   ,   snake_case__					):
	A_		:						int	    =   start
	# add current to visited
	visited.append(snake_case__					)
	A_		:						Any	    =   edges[current]
	for neighbor in neighbors:
		# if neighbor not in visited, visit
		if neighbor not in visited:
			A_		:						Optional[Any]	    =   topological_sort(snake_case__   ,   snake_case__   ,   snake_case__					)
    # if all neighbors visited add current to sort
	sort.append(snake_case__					)
	# if all vertices haven't been visited select a new one to visit
	if len(snake_case__					) != len(snake_case__					):
		for vertice in vertices:
			if vertice not in visited:
				A_		:						Optional[Any]	    =   topological_sort(snake_case__   ,   snake_case__   ,   snake_case__					)
    # return sort
	return sort


if __name__ == "__main__":
							_lowerCAmelCase         =							topological_sort("a", [], [])
							print(sort)

