


'''simple docstring'''




class 		UpperCAmelCase_      :





     def __init__( self       :      Optional[Any]    ,      UpperCAmelCase__       :      List[str] = ""    ,      UpperCAmelCase__       :      Union[str, Any] = False    )				->  None:
        lowerCAmelCase     =			{}

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

        lowerCAmelCase     =			prefix





     def 							__UpperCAmelCase      ( self       :      List[Any]    ,      UpperCAmelCase__       :      List[str]    )				->  tuple[str, str, str]:
        lowerCAmelCase     =			0
        for q, w in zip(self.prefix    ,      UpperCAmelCase__    ):
           if q != w:
              break

           x += 1

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





     def 							__UpperCAmelCase      ( self       :      Union[str, Any]    ,      UpperCAmelCase__       :      Tuple    )				->  None:
        for word in words:
           self.insert(UpperCAmelCase__    )





     def 							__UpperCAmelCase      ( self       :      Dict    ,      UpperCAmelCase__       :      Any    )				->  None:
        # Case 1: If the word is the prefix of the node
        # Solution: We set the current node as leaf
        if self.prefix == word:
           lowerCAmelCase     =			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:
           lowerCAmelCase     =			RadixNode(prefix=UpperCAmelCase__    ,      is_leaf=UpperCAmelCase__    )

        else:
           lowerCAmelCase     =			self.nodes[word[0]]
           lowerCAmelCase     =			incoming_node.match(
               UpperCAmelCase__    )

           # 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(UpperCAmelCase__    )

           # 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:
              lowerCAmelCase     =			remaining_prefix

              lowerCAmelCase     =			self.nodes[matching_string[0]]
              lowerCAmelCase     =			RadixNode(UpperCAmelCase__    ,      UpperCAmelCase__    )
              lowerCAmelCase     =			aux_node

              if remaining_word == "":
                 lowerCAmelCase     =			True
              else:
                 self.nodes[matching_string[0]].insert(UpperCAmelCase__    )





     def 							__UpperCAmelCase      ( self       :      Any    ,      UpperCAmelCase__       :      Dict    )				->  bool:
        lowerCAmelCase     =			self.nodes.get(word[0]    ,      UpperCAmelCase__    )
        if not incoming_node:
           return False
        else:
           lowerCAmelCase     =			incoming_node.match(
               UpperCAmelCase__    )
           # 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(UpperCAmelCase__    )





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

                 return True





     def 							__UpperCAmelCase      ( self       :      List[str]    ,      UpperCAmelCase__       :      List[Any] = 0    )				->  None:
        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_					( ):
   lowerCAmelCase     =			'''banana bananas bandana band apple all beast'''.split()
   lowerCAmelCase     =			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_					( ):
   assert test_trie()





def 	a_					( ):
   lowerCAmelCase     =			RadixNode()
   lowerCAmelCase     =			'''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()












def 		lowerCAmelCase_    (  __UpperCAmelCase:			float		,   __UpperCAmelCase:			int      )      ->	float:
    if digit_amount > 0:
        return round(number - int(__UpperCAmelCase      )		,   __UpperCAmelCase      )
    return number - int(__UpperCAmelCase      )


if __name__ == "__main__":
  print(decimal_isolate(1.53, 0))
  print(decimal_isolate(35.345, 1))
  print(decimal_isolate(35.345, 2))
  print(decimal_isolate(35.345, 3))
  print(decimal_isolate(-14.789, 3))
  print(decimal_isolate(0, 2))
  print(decimal_isolate(-14.123, 1))
  print(decimal_isolate(-14.123, 2))
  print(decimal_isolate(-14.123, 3))

