'''simple docstring'''





class 		SCREAMING_SNAKE_CASE     :







				'''simple docstring'''





				def __init__(						self					:						str       ,		lowercase__					:						str = ""       ,		lowercase__					:						bool = False					)							->None:


										'''simple docstring'''




										_UpperCamelCase			:			dict[str, RadixNode]   			=						{}

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

										_UpperCamelCase			:			Optional[Any]   			=						prefix





				def  snake_case__				(						self					:						List[str]       ,		lowercase__					:						str					)							->tuple[str, str, str]:


										'''simple docstring'''




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

																x += 1

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





				def  snake_case__				(						self					:						int       ,		lowercase__					:						list[str]					)							->None:


										'''simple docstring'''




										for word in words:
																self.insert(lowercase__					)





				def  snake_case__				(						self					:						Tuple       ,		lowercase__					:						str					)							->None:


										'''simple docstring'''




										if self.prefix == word:
																_UpperCamelCase			:			Union[str, 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:
																_UpperCamelCase			:			Optional[int]   			=						RadixNode(prefix=lowercase__       ,		is_leaf=lowercase__					)

										else:
																_UpperCamelCase			:			Optional[Any]   			=						self.nodes[word[0]]
																_UpperCamelCase			,       _UpperCamelCase			,       _UpperCamelCase			:			int   			=						incoming_node.match(
																    lowercase__					)

																# 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(lowercase__					)

																# 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:
																						_UpperCamelCase			:			Dict   			=						remaining_prefix

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

																						if remaining_word == "":
																												_UpperCamelCase			:			Optional[int]   			=						True
																						else:
																												self.nodes[matching_string[0]].insert(lowercase__					)





				def  snake_case__				(						self					:						Dict       ,		lowercase__					:						str					)							->bool:


										'''simple docstring'''




										_UpperCamelCase			:			Optional[Any]   			=						self.nodes.get(word[0]       ,		lowercase__					)
										if not incoming_node:
																return False
										else:
																_UpperCamelCase			,       _UpperCamelCase			,       _UpperCamelCase			:			Any   			=						incoming_node.match(
																    lowercase__					)
																# 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(lowercase__					)





				def  snake_case__				(						self					:						Tuple       ,		lowercase__					:						str					)							->bool:


										'''simple docstring'''




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

																												return True







				def  snake_case__				(						self					:						Union[str, Any]       ,		lowercase__					:						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 						__A							(     )     ->			bool:




						'''simple docstring'''
						_UpperCamelCase			:			Dict   			=						"banana bananas bandana band apple all beast".split()
						_UpperCamelCase			:			Tuple   			=						RadixNode()
						root.insert_many(UpperCAmelCase					)

						assert all(root.find(UpperCAmelCase					) 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 						__A							(     )     ->			None:




						'''simple docstring'''
						assert test_trie()
def 						__A							(     )     ->			None:




						'''simple docstring'''
						_UpperCamelCase			:			Any   			=						RadixNode()
						_UpperCamelCase			:			Optional[int]   			=						"banana bananas bandanas bandana band apple all beast".split()
						root.insert_many(UpperCAmelCase					)

						print("Words:"     ,UpperCAmelCase					)
						print("Tree:"					)
						root.print_tree()


if __name__ == "__main__":
			main()



'''simple docstring'''





import random




class 		SCREAMING_SNAKE_CASE     :







				'''simple docstring'''





				@staticmethod
				def  snake_case__				(						lowercase__					:						str					)							->tuple[list[int], list[int]]:


										'''simple docstring'''




										_UpperCamelCase			:			List[str]   			=						[ord(lowercase__					) for i in text]
										_UpperCamelCase			:			Dict   			=						[]
										_UpperCamelCase			:			Optional[int]   			=						[]
										for i in plain:
																_UpperCamelCase			:			Tuple   			=						random.randint(1       ,		300					)
																_UpperCamelCase			:			Any   			=						(i + k) * k
																cipher.append(lowercase__					)
																key.append(lowercase__					)
										return cipher, key







				@staticmethod
				def  snake_case__				(						lowercase__					:						list[int]       ,		lowercase__					:						list[int]					)							->str:


										'''simple docstring'''




										_UpperCamelCase			:			int   			=						[]
										for i in range(len(lowercase__					)					):
																_UpperCamelCase			:			List[Any]   			=						int((cipher[i] - (key[i]) ** 2) / key[i]					)
																plain.append(chr(lowercase__					)					)
										return "".join(lowercase__					)


if __name__ == "__main__":
			lowerCAmelCase_	,	lowerCAmelCase_	:		Optional[int]			=     Onepad().encrypt("""Hello""")
			print(c, k)
			print(Onepad().decrypt(c, k))


