I don't understand why I can't set a leaf-node to null. It still exists in the tree.
Is it beacuse it's a local variable or that it's parent still has a reference to it? I'm deleting the root node, traversing down to the left-most node in the right sub-tree. The left-most node has no right-node. Please check the comment in the code.
public void delete2(Integer value) {
//getNode(value) is a helper-function. Returns the node to be changed
Node node = getNode(value);
if(node != null) {
if(node.hasLeft() && node.hasRight()) {
Node pos = node;
pos = node.right; //Right subtree
while(pos.hasLeft()) //Traverse to the leftmost node
pos = pos.left;
node.value = pos.value; //Change value
if(pos.hasRight())
pos = pos.right;
else {
//I end up here. This doesn't work.
pos = null;
}
}
else if (node.hasLeft() && !node.hasRight()) {
//TODO
}
else if(!node.hasLeft() && node.hasRight()) {
//TODO
}
else {
//TODO
}
}
else
throw new NoSuchElementException();
}
Related
This removes almost all of what is supposed to, except for the last item.
This is what I get back when I submit it:
Input: [thing, word, stuff, and, both, zoo, yes]
----------Expected size: 0 BST actual number of nodes: 1
Invalid tree after removing thing
Code Below:
#SuppressWarnings("unchecked")
public boolean remove(Object o) {
Node n = root;
while (n != null) {
int comp = n.value.compareTo(o);
if (comp == 0) {
size--;
remove(n);
return true;
} else if (comp > 0) {
n = n.left;
} else {
n = n.right;
}
}
return false;
}
private void remove(Node root) {
if (root.left == null && root.right == null) {
if (root.parent == null) {
root = null;
} else {
if (root.parent.left == root) {
root.parent.left = null;
} else {
root.parent.right = null;
}
}
} else if (root.left == null || root.right == null) {
Node child = root.left;
if (root.left == null) {
child = root.right;
}
if (root.parent == null) {
root = child;
} else if (root.parent.left == root) {
root.parent.left = child;
} else {
root.parent.right = child;
}
child.parent = root.parent;
} else {
Node successor = root.right;
if (successor.left == null) {
root.value = successor.value;
root.right = successor.right;
if (successor.right != null) {
successor.right.parent = root;
}
} else {
while (successor.left != null) {
successor = successor.left;
}
root.value = successor.value;
successor.parent.left = successor.right;
if (successor.right != null) {
successor.right.parent = successor.parent;
}
}
}
}
Removal of a node in a Binary-search-tree consists of the following steps:
Find the node
You need to make sure that you have a function which is used for searching in order to find the node to be removed.
Handle the node's subtree
If the node has less than two children, then the subtree can be trivially changed. If there is a child, then the current node will be replaced by its child. Otherwise, if there are two children of the node to be removed, then you will just need to replace the node to be removed with the rightmost node of the left subtree or the leftmost node of the right subtree of the element to be removed.
Ensure that if you have replaced your current node with something else, then the other node will not exist as a duplicate.
In order to achieve this you will need methods like:
- search
- find leftmost/rightmost node of subtree
- remove
Your current code is over-complicated. I would rewrite it using atomic methods.
I have implemented a simple binary tree program, but there is a problem I encounter while traversing the tree, only root element is accessed. I suspect the nodes aren't linked. I tried my best to figure out the problem but didn't find anything wrong with my code.
I tried printing the data from the insertion function, right before exiting the function, which did print the data correctly.
public class BinaryTree {
Node root;
public void addNode(int data){
Node newNode = new Node(data);
if(root == null){
root = newNode;
}
else{
Node currentNode = root;
while(true){
if(data <= currentNode.data){
currentNode = currentNode.leftChild;
if(currentNode == null){
currentNode = newNode;
return;
}
}
else{
currentNode = currentNode.rightChild;
if(currentNode == null){
currentNode = newNode;
return;
}
}
}
}
}
public void inorderTraversal(Node currentNode){
if(currentNode != null){
inorderTraversal(currentNode.leftChild);
System.out.print(currentNode.data + " ");
inorderTraversal(currentNode.rightChild);
}
}
}
In fact you are not adding the new node correctly to the tree during the recursive step. The logic you should be using is when you a reach a node whose left or right pointer be null, and the new node belongs in that direction, you should add the new node either to the left or right. Otherwise, keep traversing until you reach such node.
while(true) {
if (data <= currentNode.data) {
if (currentNode.leftChild == null) {
currentNode.leftChild = newNode;
return;
}
else {
currentNode = currentNode.leftChild;
}
else {
if (currentNode.rightChild == null) {
currentNode.rightChild = newNode;
return;
}
else {
currentNode = currentNode.rightChild;
}
}
}
Keep in mind that the above simple algorithm for adding new nodes is not guaranteed to necessarily result in a balanced binary tree. To ensure that, you would have to add more logic which handle rebalancing.
You are not assigning the element to the left or right child. You are just assigning it to the local variable currentNode - which is not linked to the tree.
Follow the below code to put inside the while loop & it should work for you.
if(data <= currentNode.data){
if(currentNode.leftChild == null){
currentNode.leftChild = newNode;
return;
}
else {
currentNode = currentNode.leftChild;
}
}
else{
if(currentNode.rightChild == null){
currentNode.rightChild = newNode;
return;
}
else {
currentNode = currentNode.rightChild;
}
}
I'm working on a binary search tree where i have to delete a node. The node has already been found, so i don't need to traverse and find the specific node. All i need is to delete a node, which is taken as an arguement.
I have started the the node remove method and currently only done how to delete a node if it has no children or is a leaf node. How do i implement a java code which will delete if it has 1 children or a parent?
my current remove method:
public void removeHelper(Node focus){
if(focus.leftChild == null && focus.rightChild == null){
focus = null;
}
// if the node has 1 child
// if the node has 2 children
}
You need to travel down the tree, because you will need to replace the root field, or either the leftChild or rightChild of the parent node.
To remove a node that has both leftChild and rightChild not null, you can replace the node with either the rightmost node of the left subtree, or the leftmost node of the right subtree.
In this example, I assume that the methods are in a class (Tree?) that have a Node field called root, and that the Nodes have a field value that is a Comparable:
public void remove(Node focus) {
root = removeHelper(root, focus);
}
public static Node removeHelper(Node root, Node focus) {
if (root == null) {
return null;
} else if (root == focus) {
if (focus.leftChild == null) {
return focus.rightChild;
} else if (focus.rightChild == null) {
return focus.leftChild;
} else {
Node node = removeLeftMostOfRight(focus);
node.leftChild = focus.leftChild;
node.rightChild = focus.rightChild;
return node;
}
} else {
int r = focus.value.compareTo(root.value);
if (r < 0) {
root.leftChild = removeHelper(root.leftChild, focus);
} else {
root.rightChild = removeHelper(root.rightChild, focus);
}
return root;
}
}
private static Node removeLeftMostOfRight(Node focus) {
Node node = focus.rightChild;
if (node.leftChild == null) {
focus.rightChild = node.rightChild;
} else {
Node prev;
do {
prev = node;
node = node.leftChild;
} while (node.leftChild != null);
prev.leftChild = node.rightChild;
}
return node;
}
Note that in languages like C/C++ you can have pointers to pointer, that allow a much simpler and more efficient implementation of binary trees.
I have completed the recursive insert function and it works perfectly, but I can not get the non recursive solution to work.
public void insert(T item){
root= nonRecursive(root,item);
}
public BinaryTreeNode<T> nonRecursive(BinaryTreeNode<T> tree, T item){
if(root==null){
root=new BinaryTreeNode<T>(item);
return root;
}
else{
BinaryTreeNode<T> next = new BinaryTreeNode<T>();
Comparable<T> temp = (Comparable<T>) root.info;
if(temp.compareTo(item)== 0){
return null;
}
else if(temp.compareTo(item) > 0){
next=root.lLink;
}
else{
next=root.rLink;
}
while(next != null){
Comparable<T> temp2 = (Comparable<T>) next.info;
if(temp.compareTo(item) == 0){
return null;
}
else if(temp2.compareTo(item) > 0){
next=next.lLink;
}
else{
next=next.rLink;
}
}
next=new BinaryTreeNode<T>(item);
return root;
}
}
and then the recursive one is:
public void insert(T item) {
root = recInsert(root, item);
}
public BinaryTreeNode<T> recInsert(BinaryTreeNode<T> tree, T item) {
if(tree == null) {
//create new node
tree = new BinaryTreeNode<T>(item);
}
else {
Comparable<T> temp = (Comparable<T>) tree.info;
if (temp.compareTo(item) == 0) {
System.err.print("Already in duplicates are not allowed.");
return null;
}
else if (temp.compareTo(item) > 0)
tree.lLink = recInsert(tree.lLink, item);
else
tree.rLink = recInsert(tree.rLink, item);
}
return tree;
}
does anyone know what I am doing wrong?
I thought I had gotten it but now it only returns the first number I enter in
here you go then
in your code,
if(current == null){
current.lLink=node;
if current is null, then how can it have a iLink ?
maybe you need to do
if(current == null){
current = new Node ();
current.lLink=node;
Your code is not even close to finish.
You haven't even done one comparison. What you did is simply meaningless loops.
If you are looking for a non-recursive logic, here is the pseudo code. Your job is to understand it and write it in Java.
insert(item) {
Node itemNode = new Node(item);
if root is null {
root = itemNode
return
}
currentNode = root;
keep looping until node is inserted {
if currentNode is equals to itemNode {
show error and exit
} else if itemNode is smaller than currentNode {
if (currentNode has no left){
set currentNode's left to itemNode
// Item Inserted!!!!
} else { // there are node at currentNode's left
set currentNode to currentNode's left (and continue lookup)
}
} else { // item node is greater than current node
// do similar thing as the "itemNode < currentNode logic",
// of course on currentNode's right
}
}
}
I just learned about binary trees and I tried to create an insert method. My first method did not work and I did a bit of tweaking. It now works but I do not understand why the previous method failed.
The method that does not work is:
if(root == null)
{
root = new Node(data);
}
else if(data < root.getData())
{
insertNode(root.getLeft(), data);
}
else
{
insertNode(root.getRight(), data);
}
The method that does work is:
if(data < root.getData())
{
if(root.getLeft() == null)
{
root.left = new Node(data);
}
else
{
insertNode(root.getLeft(), data);
}
}
else
{
if(root.getRight() == null)
{
root.right = new Node(data);
}
else
{
insertNode(root.getRight(), data);
}
}
Any explanations as to why this is the case? Because the way I see it, root should be equal to root.left, so setting root to a new Node should be the same as setting root.left/right to a new Node.
In your first method, you would give null into your insertNode method, but no reference pointer. Therefore you set root = new Node() in the insertNode method, but the parent node does not know any of this, it still points to null.
Since this is some very basic Java understanding, I recommend reading some articles about "java parameter passing" e.g. http://javadude.com/articles/passbyvalue.htm
Assuming that you call the method recursively, insertNode(root, data), you have to be sure that root is not null, which means executing root = new Node(data); creates an object whose visibility is limited to insertNode method.
If not, you can rewrite insertNode(data) to be non-recursive and create the root inside it if it is null.
public void insert(int data) {
if(root == null){
root = new Node(data);
}
else {
Node current = root;
Node previous;
String from;
while(current != null) {
previous = current;
if(data < current.getData()) {
current = current.left();
from = "left";
}
else {
current = current.right();
from = "right";
}
}
current = new Node(data);
if(from.equals("left")) {
previous.left() = current;
} else {
previous.right() = current;
}
}
}