


class   _lowerCamelCase :




       """simple docstring"""



       def __init__(      self				,       _SCREAMING_SNAKE_CASE = ""				,       _SCREAMING_SNAKE_CASE = False		)->None:




         '''simple docstring'''





         A_      :				dict[str, RadixNode]		     =					{}

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

         A_      :				Optional[Any]		     =					prefix



       def        _snake_case       (      self				,       _SCREAMING_SNAKE_CASE		)->tuple[str, str, str]:




         '''simple docstring'''





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

           x += 1

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



       def        _snake_case       (      self				,       _SCREAMING_SNAKE_CASE		)->None:




         '''simple docstring'''





         for word in words:
           self.insert(_SCREAMING_SNAKE_CASE		)



       def        _snake_case       (      self				,       _SCREAMING_SNAKE_CASE		)->None:




         '''simple docstring'''





         if self.prefix == word:
           A_      :				List[str]		     =					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_      :				Any		     =					RadixNode(prefix=_SCREAMING_SNAKE_CASE				,       is_leaf=_SCREAMING_SNAKE_CASE		)

         else:
           A_      :				Tuple		     =					self.nodes[word[0]]
           A_     ,       A_     ,       A_      :				Any		     =					incoming_node.match(
               _SCREAMING_SNAKE_CASE		)

           # 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(_SCREAMING_SNAKE_CASE		)

           # 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_      :				List[str]		     =					remaining_prefix

             A_      :				Dict		     =					self.nodes[matching_string[0]]
             A_      :				List[str]		     =					RadixNode(_SCREAMING_SNAKE_CASE				,       _SCREAMING_SNAKE_CASE		)
             A_      :				Union[str, Any]		     =					aux_node

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



       def        _snake_case       (      self				,       _SCREAMING_SNAKE_CASE		)->bool:




         '''simple docstring'''





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



       def        _snake_case       (      self				,       _SCREAMING_SNAKE_CASE		)->bool:




         '''simple docstring'''





         A_      :				Optional[int]		     =					self.nodes.get(word[0]				,       _SCREAMING_SNAKE_CASE		)
         if not incoming_node:
           return False
         else:
           A_     ,       A_     ,       A_      :				Tuple		     =					incoming_node.match(
               _SCREAMING_SNAKE_CASE		)
           # 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(_SCREAMING_SNAKE_CASE		)
           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_      :				Optional[int]		     =					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_      :				Optional[Any]		     =					False
               # If there is 1 edge, we merge it with its child
               else:
                 A_      :				Dict		     =					list(incoming_node.nodes.values()		)[0]
                 A_      :				Optional[int]		     =					merging_node.is_leaf
                 incoming_node.prefix += merging_node.prefix
                 A_      :				Optional[Any]		     =					merging_node.nodes

               return True







       def        _snake_case       (      self				,       _SCREAMING_SNAKE_CASE = 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   _SCREAMING_SNAKE_CASE	( ):
  A_      :				Any		     =					'''banana bananas bandana band apple all beast'''.split()
  A_      :				List[str]		     =					RadixNode()
  root.insert_many(SCREAMING_SNAKE_CASE       )

  assert all(root.find(SCREAMING_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   _SCREAMING_SNAKE_CASE	( ):
  assert test_trie()


def   _SCREAMING_SNAKE_CASE	( ):
  A_      :				str		     =					RadixNode()
  A_      :				Dict		     =					'''banana bananas bandanas bandana band apple all beast'''.split()
  root.insert_many(SCREAMING_SNAKE_CASE       )

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


if __name__ == "__main__":
     main()








def   _SCREAMING_SNAKE_CASE	( SCREAMING_SNAKE_CASE       ):
  if not nums:  # Makes sure that the list is not empty
    raise ValueError('''List is empty'''       )

  A_      :				Optional[int]		     =					sum(SCREAMING_SNAKE_CASE       ) / len(SCREAMING_SNAKE_CASE       )  # Calculate the average
  return sum(abs(x - average       ) for x in nums       ) / len(SCREAMING_SNAKE_CASE       )


if __name__ == "__main__":
     import doctest

     doctest.testmod()




