

'''simple docstring'''




class 							lowercase_						:

  '''simple docstring'''





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


    """simple docstring"""
    # Mapping from the first character of the prefix of the node
    UpperCAmelCase    				=						{}

    # A node will be a leaf if the tree contains its word
    UpperCAmelCase    				=						is_leaf

    UpperCAmelCase    				=						prefix
  def     snake_case_      (  self ,			a_  )				->					tuple[str, str, str]:


    """simple docstring"""
    UpperCAmelCase    				=						0
    for q, w in zip(self.prefix ,			a_  ):
      if q != w:
        break

      x += 1

    return self.prefix[:x], self.prefix[x:], word[x:]
  def     snake_case_      (  self ,			a_  )				->					None:


    """simple docstring"""
    for word in words:
      self.insert(a_  )
  def     snake_case_      (  self ,			a_  )				->					None:


    """simple docstring"""
    # Case 1: If the word is the prefix of the node
    # Solution: We set the current node as leaf
    if self.prefix == word:
      UpperCAmelCase    				=						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    				=						RadixNode(prefix=a_ ,			is_leaf=a_  )

    else:
      UpperCAmelCase    				=						self.nodes[word[0]]
      UpperCAmelCase				,   UpperCAmelCase				,   UpperCAmelCase    				=						incoming_node.match(
          a_  )

      # 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(a_  )

      # 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    				=						remaining_prefix

        UpperCAmelCase    				=						self.nodes[matching_string[0]]
        UpperCAmelCase    				=						RadixNode(a_ ,			a_  )
        UpperCAmelCase    				=						aux_node

        if remaining_word == "":
          UpperCAmelCase    				=						True
        else:
          self.nodes[matching_string[0]].insert(a_  )
  def     snake_case_      (  self ,			a_  )				->					bool:


    """simple docstring"""
    UpperCAmelCase    				=						self.nodes.get(word[0] ,			a_  )
    if not incoming_node:
      return False
    else:
      UpperCAmelCase				,   UpperCAmelCase				,   UpperCAmelCase    				=						incoming_node.match(
          a_  )
      # 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(a_  )
  def     snake_case_      (  self ,			a_  )				->					bool:


    """simple docstring"""
    UpperCAmelCase    				=						self.nodes.get(word[0] ,			a_  )
    if not incoming_node:
      return False
    else:
      UpperCAmelCase				,   UpperCAmelCase				,   UpperCAmelCase    				=						incoming_node.match(
          a_  )
      # 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(a_  )
      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    				=						list(self.nodes.values()  )[0]
              UpperCAmelCase    				=						merging_node.is_leaf
              self.prefix += merging_node.prefix
              UpperCAmelCase    				=						merging_node.nodes
                    # If there is more than 1 edge, we just mark it as non-leaf
          elif len(incoming_node.nodes  ) > 1:
            UpperCAmelCase    				=						False
          # If there is 1 edge, we merge it with its child
          else:
            UpperCAmelCase    				=						list(incoming_node.nodes.values()  )[0]
            UpperCAmelCase    				=						merging_node.is_leaf
            incoming_node.prefix += merging_node.prefix
            UpperCAmelCase    				=						merging_node.nodes

          return True





  def     snake_case_      (  self ,			a_ = 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    lowerCamelCase__		(    ):
  UpperCAmelCase    				=						'banana bananas bandana band apple all beast'.split()
  UpperCAmelCase    				=						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    lowerCamelCase__		(    ):
  assert test_trie()


def    lowerCamelCase__		(    ):
  UpperCAmelCase    				=						RadixNode()
  UpperCAmelCase    				=						'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()





'''simple docstring'''




def    lowerCamelCase__		(    SCREAMING_SNAKE_CASE   : list[int]							, SCREAMING_SNAKE_CASE   : list[int]							, SCREAMING_SNAKE_CASE   : int    ):
  return not any(
      neighbour == 1 and colored_vertices[i] == color
      for i, neighbour in enumerate(SCREAMING_SNAKE_CASE    )    )


def    lowerCamelCase__		(    SCREAMING_SNAKE_CASE   : list[list[int]]							, SCREAMING_SNAKE_CASE   : int							, SCREAMING_SNAKE_CASE   : list[int]							, SCREAMING_SNAKE_CASE   : int    ):

  # Base Case
  if index == len(SCREAMING_SNAKE_CASE    ):
    return True

  # Recursive Step
  for i in range(SCREAMING_SNAKE_CASE    ):
    if valid_coloring(graph[index]							, SCREAMING_SNAKE_CASE							, SCREAMING_SNAKE_CASE    ):
      # Color current vertex
      UpperCAmelCase    				=						i
      # Validate coloring
      if util_color(SCREAMING_SNAKE_CASE							, SCREAMING_SNAKE_CASE							, SCREAMING_SNAKE_CASE							, index + 1    ):
        return True
      # Backtrack
      UpperCAmelCase    				=						-1
  return False



def    lowerCamelCase__		(    SCREAMING_SNAKE_CASE   : list[list[int]]							, SCREAMING_SNAKE_CASE   : int    ):
  UpperCAmelCase    				=						[-1] * len(SCREAMING_SNAKE_CASE    )

  if util_color(SCREAMING_SNAKE_CASE							, SCREAMING_SNAKE_CASE							, SCREAMING_SNAKE_CASE							, 0    ):
    return colored_vertices

  return []


