






class 			__a  :







 def __init__(		self					:   Tuple							,   SCREAMING_SNAKE_CASE					:   str = ""							,   SCREAMING_SNAKE_CASE					:   bool = False						):


      '''simple docstring'''






      UpperCamelCase__			:   dict[str, RadixNode]       				=  {}

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

      UpperCamelCase__			:   str       				=  prefix







 def 					__lowercase					(		self					:   List[str]							,   SCREAMING_SNAKE_CASE					:   str						):


      '''simple docstring'''






      UpperCamelCase__			:   Any       				=  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 					__lowercase					(		self					:   List[str]							,   SCREAMING_SNAKE_CASE					:   list[str]						):


      '''simple docstring'''






      for word in words:
           self.insert(SCREAMING_SNAKE_CASE						)







 def 					__lowercase					(		self					:   str							,   SCREAMING_SNAKE_CASE					:   str						):


      '''simple docstring'''






      if self.prefix == word:
           UpperCamelCase__			:   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:
           UpperCamelCase__			:   Optional[Any]       				=  RadixNode(prefix=SCREAMING_SNAKE_CASE							,   is_leaf=SCREAMING_SNAKE_CASE						)

      else:
           UpperCamelCase__			:   Any       				=  self.nodes[word[0]]
           UpperCamelCase__				,     UpperCamelCase__				,     UpperCamelCase__			:   str       				=  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:
                UpperCamelCase__			:   Any       				=  remaining_prefix

                UpperCamelCase__			:   Any       				=  self.nodes[matching_string[0]]
                UpperCamelCase__			:   Union[str, Any]       				=  RadixNode(SCREAMING_SNAKE_CASE							,   SCREAMING_SNAKE_CASE						)
                UpperCamelCase__			:   Optional[int]       				=  aux_node

                if remaining_word == "":
                     UpperCamelCase__			:   Tuple       				=  True
                else:
                     self.nodes[matching_string[0]].insert(SCREAMING_SNAKE_CASE						)







 def 					__lowercase					(		self					:   Optional[Any]							,   SCREAMING_SNAKE_CASE					:   str						):


      '''simple docstring'''






      UpperCamelCase__			:   List[str]       				=  self.nodes.get(word[0]							,   SCREAMING_SNAKE_CASE						)
      if not incoming_node:
           return False
      else:
           UpperCamelCase__				,     UpperCamelCase__				,     UpperCamelCase__			:   Dict       				=  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 					__lowercase					(		self					:   Any							,   SCREAMING_SNAKE_CASE					:   str						):


      '''simple docstring'''






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

                     return True







 def 					__lowercase					(		self					:   str							,   SCREAMING_SNAKE_CASE					:   int = 0						):


      '''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							(					) ->	bool:
     UpperCamelCase__			:   str       				=  "banana bananas bandana band apple all beast".split()
     UpperCamelCase__			:   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							(					) ->	None:
     assert test_trie()







def 		SCREAMING_SNAKE_CASE							(					) ->	None:
     UpperCamelCase__			:   Any       				=  RadixNode()
     UpperCamelCase__			:   Dict       				=  "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()







lowerCamelCase	:							List[Any]				=[
    (1000, '''M'''),
    (900, '''CM'''),
    (500, '''D'''),
    (400, '''CD'''),
    (100, '''C'''),
    (90, '''XC'''),
    (50, '''L'''),
    (40, '''XL'''),
    (10, '''X'''),
    (9, '''IX'''),
    (5, '''V'''),
    (4, '''IV'''),
    (1, '''I'''),
]







def 		SCREAMING_SNAKE_CASE							(					__lowerCAmelCase			) ->	int:
     UpperCamelCase__			:   Optional[int]       				=  {"I": 1, "V": 5, "X": 10, "L": 50, "C": 100, "D": 500, "M": 1000}
     UpperCamelCase__			:   Any       				=  0
     UpperCamelCase__			:   Any       				=  0
     while place < len(__lowerCAmelCase			):
          if (place + 1 < len(__lowerCAmelCase			)) and (vals[roman[place]] < vals[roman[place + 1]]):
               total += vals[roman[place + 1]] - vals[roman[place]]
               place += 2
          else:
               total += vals[roman[place]]
               place += 1
     return total







def 		SCREAMING_SNAKE_CASE							(					__lowerCAmelCase			) ->	str:
     UpperCamelCase__			:   Optional[int]       				=  []
     for arabic, roman in ROMAN:
          ((UpperCamelCase__)				,     (UpperCamelCase__))			:   Optional[int]       				=  divmod(__lowerCAmelCase					,    __lowerCAmelCase			)
          result.append(roman * factor			)
          if number == 0:
               break
     return "".join(__lowerCAmelCase			)


if __name__ == "__main__":
 import doctest

 doctest.testmod()