I have written a code for inserting to the binary tree an element generic's type which is ordered by their names. Don't think it is correct though.
public boolean insert(E e) {
BTNode temp = root;
if (root == null) {
root.setElement(e);
}
while (temp != null)
if (temp.element().getClass().getName().compareTo(e.getClass().getName()) < 0) {
temp = temp.getRight();
} else {
temp = temp.getLeft();
}
temp.setElement(e);
return true;
}
Can you suggest me corrections ?
An insert would need to create a new node. I don't now how to create them as I haven't see the constuctor, but I suggest something along the lines of:
public boolean insert(E e) {
if (root == null) {
root = new BTNode();
root.setElement(e); //how would this work with a null root?
return true; //that's it, we're done (when is this ever false by the way?)
}
BTNode current = root;
while (true) { //brackets! indenting is important for readabilty
BTNode parent=current;
if (current.element().getClass().getName().compareTo(e.getClass().getName()) < 0) {
current = current.getRight();
if(current==null) { //we don't have a right node, need to make one
current = new BTNode();
parent.setRight(current);
break; //we have a new node in "current" that is empty
}
} else {
current= current.getLeft();
if(current==null) { //we don't have a left node, need to make one
current = new BTNode();
parent.setLeft(current);
break; //we have a new node in "current" that is empty
}
}
}
current.setElement(e);
return true;
}
public Boolean add(int data){
Node node = new Node(data);
if(isEmpty()){
root = node;
}else{
Node temp = root;
while(true){
if(data < temp.getData()){
if(temp.getLeft() != null)
temp = temp.getLeft();
else
break;
}else{
if(temp.getRight() != null)
temp = temp.getRight();
else
break;
}
}
if(data < temp.getData())
temp.setLeft(node);
else
temp.setRight(node);
}
return true;
}
As amadeus mentioned, the while loop should not have a semicolon at the end :
BTNode temp = root;
if (root == null) {
root.setElement(e);
return;
}
while (temp != null)
{
if (temp.element().getClass().getName().compareTo(e.getClass().getName()) < 0) {
if(temp.getRight() != null)
temp = temp.getRight();
else
{
temp.createRight(e);
temp = null; //or break
}
} else {
if(temp.getLeft() != null)
temp = temp.getLeft();
else
{
temp.createLeft(e);
temp = null; //or break
}
}
}
return true;
Related
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'm trying to make a tree, in a way such that the left child of a terminal(leaf node) node.
link to see what tree should look like.
I've gotten an inorder version of the code i want, its a simple insert function that threads the tree ,but now my problem is changing this code into a preOrder insert.
This i can do, but my main problem is finding the preorder successor, which is all the way in a other sub tree, do any of you guys know a simple way to get the preorder successor?
//in-order insert
if (root == null) { // tree is empty
root = newNode;
return;
}
PreNode<T> p = root, prev = null;
while (p != null) { // find a place to insert newNode;
prev = p;
if (info.compareTo(p.info) < 0)
p = p.left;
else if (!p.hasThread) // go to the right node only if it is
p = p.right; // a descendant, not a successor;
else break; // don't follow successor link;
}
if (info.compareTo(prev.info) < 0) { // if newNode is left child of
prev.left = newNode; // its parent, the parent becomes
newNode.hasThread = true; // also its successor;
newNode.right = prev;
}
else if (prev.hasThread) { // if parent of the newNode
newNode.hasThread = true; // is not the right-most node,
prev.hasThread = false; // make parent's successor
newNode.right = prev.right; // newNode's successor,
prev.right = newNode;
}
else prev.right = newNode; // otherwise has no successor;
This will work, assuming that there is a Node class which has right&left references to its children as well as a boolean variable ht which indicates if it has a thread or not.
public void insert(T info) {
PreNode<T> newNode = new PreNode<T>(info);
if (root == null) {
root = newNode;
return;
}
PreNode<T> curr = root, r = null, l = null;
while (true) {
if (info.compareTo(curr.info) < 0) {
if (curr.right != null)
r = curr.right;
if (curr.left == null || curr.ht) {
newNode.left = r;
curr.left = newNode;
curr.ht = false;
return;
} else
curr = curr.left;
} else {
if (curr.left != null && !curr.ht)
l = curr.left;
if (curr.right == null) {
if (curr.ht) {
newNode.left = curr.left;
newNode.ht = true;
curr.left = null;
curr.right = newNode;
curr.ht = false;
return;
} else
newNode.left = r;
curr.right = newNode;
curr.ht = false;
if (l != null) {
while (!l.ht) {
if (l.right != null)
l = l.right;
else
l = l.left;
}
l.left = newNode;
l.ht = true;
return;
}
} else
curr = curr.right;
}
}
}
I am trying to implement a remove method for the BST structure that I have been working on. Here is the code with find, insert, and remove methods:
public class BST {
BSTNode root = new BSTNode("root");
public void insert(BSTNode root, String title){
if(root.title!=null){
if(title==root.title){
//return already in the catalog
}
else if(title.compareTo(root.title)<0){
if(root.leftChild==null){
root.leftChild = new BSTNode(title);
}
else{
insert(root.leftChild,title);
}
}
else if(title.compareTo(root.title)>0){
if(root.rightChild==null){
root.rightChild = new BSTNode(title);
}
else{
insert(root.rightChild,title);
}
}
}
}
public void find(BSTNode root, String title){
if(root!= null){
if(title==root.title){
//return(true);
}
else if(title.compareTo(root.title)<0){
find(root.leftChild, title);
}
else{
find(root.rightChild, title);
}
}
else{
//return false;
}
}
public void remove(BSTNode root, String title){
if(root==null){
return false;
}
if(title==root.title){
if(root.leftChild==null){
root = root.rightChild;
}
else if(root.rightChild==null){
root = root.leftChild;
}
else{
//code if 2 chlidren remove
}
}
else if(title.compareTo(root.title)<0){
remove(root.leftChild, title);
}
else{
remove(root.rightChild, title);
}
}
}
I was told that I could use the insert method to help me with the remove method, but I am just not seeing how I can grab the smallest/largest element, and then replace the one I am deleting with that value, then recursively delete the node that I took the replacement value, while still maintaining O(logn) complexity. Anyone have any ideas or blatant holes I missed, or anything else helpful as I bang my head about this issue?
EDIT:
I used the answers ideas to come up with this, which I believe will work but I'm getting an error that my methods (not just the remove) must return Strings, here is what the code looks like, I thought that's the return statements??
public String remove(BSTNode root, String title){
if(root==null){
return("empty root");
}
if(title==root.title){
if(root.leftChild==null){
if(root.rightChild==null){
root.title = null;
return(title+ "was removed");
}
else{
root = root.rightChild;
return(title+ "was removed");
}
}
else if(root.rightChild==null){
root = root.leftChild;
return(title+ "was removed");
}
else{
String minTitle = minTitle(root);
root.title = minTitle;
remove(root.leftChild,minTitle);
return(title+ "was removed");
}
}
else if(title.compareTo(root.title)<0){
remove(root.leftChild, title);
}
else{
remove(root.rightChild, title);
}
}
public void remove (String key, BSTNode pos)
{
if (pos == null) return;
if (key.compareTo(pos.key)<0)
remove (key, pos.leftChild);
else if (key.compareTo(pos.key)>0)
remove (key, pos.rightChild);
else {
if (pos.leftChild != null && pos.rightChild != null)
{
/* pos has two children */
BSTNode maxFromLeft = findMax (pos.leftChild); //need to make a findMax helper
//"Replacing " pos.key " with " maxFromLeft.key
pos.key = maxFromLeft.key;
remove (maxFromLeft.key, pos.leftChild);
}
else if(pos.leftChild != null) {
/* node pointed by pos has at most one child */
BSTNode trash = pos;
//"Promoting " pos.leftChild.key " to replace " pos.key
pos = pos.leftChild;
trash = null;
}
else if(pos.rightChild != null) {
/* node pointed by pos has at most one child */
BSTNode trash = pos;
/* "Promoting " pos.rightChild.key" to replace " pos.key */
pos = pos.rightChild;
trash = null;
}
else {
pos = null;
}
}
}
This is the remove for an unbalanced tree. I had the code in C++ so I have quickly translated. There may be some minor mistakes though. Does the tree you are coding have to be balanced? I also have the balanced remove if need be. I wasn't quite sure based on the wording of your question. Also make sure you add a private helper function for findMax()
void deleteTreeNode(int data){
root = deleteTreeNode(root ,data);
}
private TreeNode deleteTreeNode(TreeNode root, int data) {
TreeNode cur = root;
if(cur == null){
return cur;
}
if(cur.data > data){
cur.left = deleteTreeNode(cur.left, data);
}else if(cur.data < data){
cur.right = deleteTreeNode(cur.right, data);
}else{
if(cur.left == null && cur.right == null){
cur = null;
}else if(cur.right == null){
cur = cur.left;
}else if(cur.left == null){
cur = cur.right;
}else{
TreeNode temp = findMinFromRight(cur.right);
cur.data = temp.data;
cur.right = deleteTreeNode(cur.right, temp.data);
}
}
return cur;
}
private TreeNode findMinFromRight(TreeNode node) {
while(node.left != null){
node = node.left;
}
return node;
}
To compare objects in java use .equals() method instead of "==" operator
if(title==root.title)
^______see here
you need to use like this
if(title.equals(root.title))
or if you are interesed to ignore the case follow below code
if(title.equalsIgnoreCase(root.title))
private void deleteNode(Node temp, int n) {
if (temp == null)
return;
if (temp.number == n) {
if (temp.left == null || temp.right == null) {
Node current = temp.left == null ? temp.right : temp.left;
if (getParent(temp.number, root).left == temp)
getParent(temp.number, root).left = current;
else
getParent(temp.number, root).right = current;
} else {
Node successor = findMax(temp.left);
int data = successor.number;
deleteNode(temp.left, data);
temp.number = data;
}
} else if (temp.number > n) {
deleteNode(temp.left, n);
} else {
deleteNode(temp.right, n);
}
}
I know this is a very old question but anyways... The accepted answer's implementation is taken from c++, so the idea of pointers still exists which should be changed as there are no pointers in Java. So every time when you change the node to null or something else, that instance of the node is changed but not the original one This implementation is taken from one of the coursera course on algorithms.
public TreeNode deleteBSTNode(int value,TreeNode node)
{
if(node==null)
{
System.out.println("the value " + value + " is not found");
return null;
}
//delete
if(node.data>value) node.left = deleteBSTNode(value,node.left);
else if(node.data<value) node.right = deleteBSTNode(value,node.right);
else{
if(node.isLeaf())
return null;
if(node.right==null)
return node.left;
if(node.left==null)
return node.right;
TreeNode successor = findMax(node.left);
int data = successor.data;
deleteBSTNode(data, node.left);
node.data = data;
}
return node;
}
All the links between the nodes are pertained using the return value from the recursion.
For the Depth First Post-Order traversal and removal, use:
/*
*
* Remove uses
* depth-first Post-order traversal.
*
* The Depth First Post-order traversal follows:
* Left_Child -> Right-Child -> Node convention
*
* Partial Logic was implemented from this source:
* https://stackoverflow.com/questions/19870680/remove-method-binary-search-tree
* by: sanjay
*/
#SuppressWarnings("unchecked")
public BinarySearchTreeVertex<E> remove(BinarySearchTreeVertex<E> rootParameter, E eParameter) {
BinarySearchTreeVertex<E> deleteNode = rootParameter;
if ( deleteNode == null ) {
return deleteNode; }
if ( deleteNode.compareTo(eParameter) == 1 ) {
deleteNode.left_child = remove(deleteNode.left_child, eParameter); }
else if ( deleteNode.compareTo(eParameter) == -1 ) {
deleteNode.right_child = remove(deleteNode.right_child, eParameter); }
else {
if ( deleteNode.left_child == null && deleteNode.right_child == null ) {
deleteNode = null;
}
else if ( deleteNode.right_child == null ) {
deleteNode = deleteNode.left_child; }
else if ( deleteNode.left_child == null ) {
deleteNode = deleteNode.right_child; }
else {
BinarySearchTreeVertex<E> interNode = findMaxLeftBranch( deleteNode.left_child );
deleteNode.e = interNode.e;
deleteNode.left_child = remove(deleteNode.left_child, interNode.e);
}
} return deleteNode; } // End of remove(E e)
/*
* Checking right branch for the swap value
*/
#SuppressWarnings("rawtypes")
public BinarySearchTreeVertex findMaxLeftBranch( BinarySearchTreeVertex vertexParameter ) {
while (vertexParameter.right_child != null ) {
vertexParameter = vertexParameter.right_child; }
return vertexParameter; } // End of findMinRightBranch
I am having some problems printing an inOrder traversal of my binary tree. Even after inserting many items into the tree it's only printing 3 items.
public class BinaryTree {
private TreeNode root;
private int size;
public BinaryTree(){
this.size = 0;
}
public boolean insert(TreeNode node){
if( root == null)
root = node;
else{
TreeNode parent = null;
TreeNode current = root;
while( current != null){
if( node.getData().getValue().compareTo(current.getData().getValue()) <0){
parent = current;
current = current.getLeft();
}
else if( node.getData().getValue().compareTo(current.getData().getValue()) >0){
parent = current;
current = current.getRight();
}
else
return false;
if(node.getData().getValue().compareTo(parent.getData().getValue()) < 0)
parent.setLeft(node);
else
parent.setRight(node);
}
}
size++;
return true;
}
/**
*
*/
public void inOrder(){
inOrder(root);
}
private void inOrder(TreeNode root){
if( root.getLeft() !=null)
this.inOrder(root.getLeft());
System.out.println(root.getData().getValue());
if( root.getRight() != null)
this.inOrder(root.getRight());
}
}
It seems that you are not traversing the tree properly upon insertion, to find the right place for the new node. Right now you are always inserting at one child of the root, because the insertion code is inside the while loop - it should be after it:
public boolean insert(TreeNode node){
if( root == null)
root = node;
else{
TreeNode parent = null;
TreeNode current = root;
while( current != null){
if( node.getData().getValue().compareTo(current.getData().getValue()) <0){
parent = current;
current = current.getLeft();
}
else if( node.getData().getValue().compareTo(current.getData().getValue()) >0){
parent = current;
current = current.getRight();
}
else
return false;
}
if(node.getData().getValue().compareTo(parent.getData().getValue()) < 0)
parent.setLeft(node);
else
parent.setRight(node);
}
size++;
return true;
}
You insert method has a problem. It finds the right parent node to attach the new element to, but on the way it messes up the whole tree. You should move the insertion code out of the while loop:
public boolean insert(TreeNode node){
if( root == null)
root = node;
else{
TreeNode parent = null;
TreeNode current = root;
while( current != null){
if( node.getData().getValue().compareTo(current.getData().getValue()) <0){
parent = current;
current = current.getLeft();
}
else if( node.getData().getValue().compareTo(current.getData().getValue()) >0){
parent = current;
current = current.getRight();
}
else
return false;
}
if(node.getData().getValue().compareTo(parent.getData().getValue()) < 0)
parent.setLeft(node);
else
parent.setRight(node);
}
size++;
return true;
}
}
hey fellows here is one simple one.. try this out.. it works for me well...
public void levelOrderTraversal(Node root){
Queue<Node> queue = new ArrayDeque<Node>();
if(root == null) {
return;
}
Node tempNode = root;
while(tempNode != null) {
System.out.print(tempNode.data + " ");
if(tempNode.left != null) queue.add(tempNode.left);
if(tempNode.right != null) queue.add(tempNode.right);
tempNode = queue.poll();
}
}
I'm trying to remove all of the leaves. I know that leaves have no children, this is what I have so far.
public void removeLeaves(BinaryTree n){
if (n.left == null && n.right == null){
n = null;
}
if (n.left != null)
removeLeaves(n.left);
if (n.right != null)
removeLeaves(n.right);
}
n = null; won't help you, since n is just a local variable of your function. Instead, you'd need to set n.left = null; or n.right = null; on the parent.
I won't give you a complete solution, since this smells a lot like homework, but you could, for example, add a return value to your function to indicate whether the node in question is a leaf or not and take appropriate actions in the parent (after the call to removeLeaves).
It's much easier if you break this down like this:
public void removeLeaves(BinaryTree n){
if (n.left != null) {
if (n.left.isLeaf()) {
n.removeLeftChild();
} else {
removeLeaves(n.left);
}
}
// repeat for right child
// ...
}
isLeaf, removeLeftChild and removeRightChild should be trivial to implement.
Instead of n = null, it should be:
if(n.parent != null)
{
if(n.parent.left == n)
{
n.parent.left = null;
}
else if(n.parent.right == n)
{
n.parent.right == null);
}
}
Since Java passes references by values n = null; simply does not work. With this line n was pointing to the leaf and now points to nothing. So you aren't actually removing it from the parent, you are just rerouting a dummy local reference. For the solution do what Matthew suggested.
Here's a simple java method to delete leaf nodes from binary tree
public BinaryTreeNode removeLeafNode(BinaryTreeNode root) {
if (root == null)
return null;
else {
if (root.getLeft() == null && root.getRight() == null) { //if both left and right child are null
root = null; //delete it (by assigning null)
} else {
root.setLeft(removeLeafNode(root.getLeft())); //set new left node
root.setRight(removeLeafNode(root.getRight())); //set new right node
}
return root;
}
}
Easy method with recusrion .
public static Node removeLeaves(Node root){
if (root == null) {
return null;
}
if (root.left == null && root.right == null) {
return null;
}
root.left = removeLeaves(root.left);
root.right = removeLeaves(root.right);
return root;
}
/* #author abhineet*/
public class DeleteLeafNodes {
static class Node{
int data;
Node leftNode;
Node rightNode;
Node(int value){
this.data = value;
this.leftNode = null;
this.rightNode = null;
}
}
public static void main(String[] args) {
Node root = new Node(1);
Node lNode = new Node(2);
lNode.leftNode = new Node(4);
root.leftNode = lNode;
Node rNode = new Node(3);
rNode.rightNode = new Node(5);
root.rightNode = rNode;
printTree(root);
deleteAllLeafNodes(root, null,0);
System.out.println("After deleting leaf nodes::");
printTree(root);
}
public static void deleteAllLeafNodes(Node root, Node parent, int direction){
if(root != null && root.leftNode == null && root.rightNode == null){
if(direction == 0){
parent.leftNode = null;
}else{
parent.rightNode = null;
}
}
if(root != null && (root.leftNode != null || root.rightNode != null)){
deleteAllLeafNodes(root.leftNode, root, 0);
deleteAllLeafNodes(root.rightNode, root, 1);
}
}
public static void printTree(Node root){
if(root != null){
System.out.println(root.data);
printTree(root.leftNode);
printTree(root.rightNode);
}
}
}
This should work-
public boolean removeLeaves(Node n){
boolean isLeaf = false;
if (n.left == null && n.right == null){
return true;
//n = null;
}
if (n!=null && n.left != null){
isLeaf = removeLeaves(n.left);
if(isLeaf) n.left=null; //remove left leaf
}
if (n!=null && n.right != null){
isLeaf = removeLeaves(n.right);
if(b) n.right=null; //remove right leaf
}
return false;
}