Finding BST's height non-recursively? - binary-search-tree

This is a recursive method for finding the height, but i have a very large number of nodes in my binary search tree, and i want to find the height of the tree as well as assign the height to each individual sub-tree. So the recursive method throws stackoverflow exception, how do i do this non-recursively and without using stack?
private int FindHeight(TreeNode node)
{
if (node == null)
{
return -1;
}
else
{
node.Height = 1 + Math.Max(FindHeight(node.Left), FindHeight(node.Right));
return node.Height;
}
}
I believe i have to use post order traversal but without stack?

I was able to make this method, and it does return the correct height but it assigns each node with its depth not height.
public void FindHeight()
{
int maxHeight = 0;
Queue<TreeNode> Q = new Queue<TreeNode>();
TreeNode node;
Q.Enqueue(Root);
while (Q.Count != 0)
{
node = Q.Dequeue();
int nodeHeight = node.Height;
if (node.Left != null)
{
node.Left.Height = nodeHeight + 1;
Q.Enqueue(node.Left);
}
if (node.Right != null)
{
node.Right.Height = nodeHeight + 1;
Q.Enqueue(node.Right);
}
if (nodeHeight > maxHeight)
{
maxHeight = nodeHeight;
}
}
Console.WriteLine(maxHeight);
}

Related

BST, is it possible to find next lowest in O(lg N)?

The TreeNode class is defined with only left and right child.
public class TreeNode {
public int val;
public TreeNode left, right;
public TreeNode(int val) {
this.val = val;
}
}
My code finds the next lowest node in O(n). I was wondering if it's possible to find it in lg(N) given that the node doesn't have a pointer to its parent node.
// run time O(n)
public static Integer findNextLowest(TreeNode root, int target) {
Stack<TreeNode> stack = new Stack<>();
TreeNode cur = root;
while (cur != null || stack.size() > 0) {
while (cur != null) {
stack.push(cur);
cur = cur.right;
}
TreeNode node = stack.pop();
if (node.val < target) return node.val; // found the next lowest
cur = node.left;
}
return null;
}
private static TreeNode findNextLowest(TreeNode root, int target){
TreeNode node = root;
TreeNode res = null;
while(node != null){
while(node != null && node.val >= target){
node = node.left;
}
while(node != null && node.val < target){
res = node;
node = node.right;
}
}
return res;
}
No, because you haven't implemented a Binary Search Tree, just a Binary Tree.
A BST will constrain its values such that left.val < val < right.val, so you can do
// run time O(log(n)) if cur is balanced
public static Integer findNextLowest(TreeNode cur, int target) {
if (target < cur.val) { return cur.left != null ? findNextLowest(cur.left, target) : null; }
if (curr.right != null)
{
Integer result = findNextLowest(cur.right, target);
if (result != null) { return result; }
}
return cur.val;
}
You should use something like a R-B tree to ensure it is balanced

Extract common objects from an arraylist

I have a list like shown below. Assume it has 16 Container objects in it. Each Container object is a simple bean, with fields like age, weight, height, etc. How can I create a sub-list that contains common 'Container' objects if a 'Container' object is considered equal if the weight and height are equal?
List<Container> containers = new ArrayList<Container>();
If by "common" containers you mean duplicating ones, then this code might help you:
import java.util.ArrayList;
import java.util.List;
public class CommonContainers {
public static void main(String[] args) {
List<Container> containers = new ArrayList<Container>(16);
for(int i=0; i<13; i++) {
containers.add(new Container(i, i));
}
//add a few duplicating ones
containers.add(new Container(1,1));
containers.add(new Container(5,5));
containers.add(new Container(6,6));
List<Container> sublist = new ArrayList<Container>();
for (Container c1 : containers) {
for (Container c2 : containers) {
if(c1 != c2 && c1.equals(c2)) {
sublist.add(c1);
}
}
}
for (Container c : sublist) {
System.out.println(c);
}
}
private static class Container {
private int weight;
private int height;
#Override
public String toString() {
return String.format("Container[w=%d,h=%d]", weight, height);
}
public Container(int weight, int height) {
this.weight = weight;
this.height = height;
}
public int getWeight() {
return weight;
}
public void setWeight(int weight) {
this.weight = weight;
}
public int getHeight() {
return height;
}
public void setHeight(int height) {
this.height = height;
}
#Override
public int hashCode() {
final int prime = 31;
int result = 1;
result = prime * result + height;
result = prime * result + weight;
return result;
}
#Override
public boolean equals(Object obj) {
if (this == obj)
return true;
if (obj == null)
return false;
if (getClass() != obj.getClass())
return false;
Container other = (Container) obj;
if (height != other.height)
return false;
if (weight != other.weight)
return false;
return true;
}
}
}
If you mean something else or need clarification, please let me know.
Thanks John Smith for giving direction on this question. I used the iterator instead and was able to make a nice solution to what I was looking for. below is the solution. Note that .equals is overriden for the Containers comparison. The technique I used will take the master list and create a sub-list while removing elements from the parent list at the same time. The solution can be called recursivly until you convert the master list into a subset of lists.
public List<Container> extractCommonSubList(
List<Container> masterContainerList) {
List<Container> subList = new ArrayList<Container>();
ListIterator<Container> iterator = masterContainerList.listIterator();
// get first item from master list and remove from master list
Container firstContainer = iterator.next();
iterator.remove();
// Add first container to sublist
subList.add(firstContainer);
while (iterator.hasNext()) {
Container container = iterator.next();
// Search for matches
if (firstContainer.equals(container)) {
// containers are a match, continue searching for matches
subList.add(container);
iterator.remove();
continue;
} else {
break;
}
}
// return common list
return subList;
}

addFirst(E e) Doubly Linked List (Null Pointer Exception)

import java.util.*;
public class MyTwoWayLinkedList<E> extends java.util.AbstractSequentialList<E> {
private Node<E> head, tail;
private int size = 0;
private List<E> list;
/** Create a default list */
public MyTwoWayLinkedList() {
list = new LinkedList<E>();
}
public MyTwoWayLinkedList(E[] objects) {
list = new LinkedList<E>();
for (int i = 0; i < objects.length; i++)
add(objects[i]);
}
/** Return the head element in the list */
public E getFirst() {
if (size == 0) {
return null;
}
else {
return head.element;
}
}
/** Return the last element in the list */
public E getLast() {
if (size == 0) {
return null;
}
else {
return tail.element;
}
}
/** Add an element to the beginning of the list */
public void addFirst(E e) {
Node<E> newNode = new Node<E>(e); // Create a new node
newNode.next = head; // link the new node with the head
head.previous = newNode; //link the old node with new head
head = newNode; // head points to the new node
size++; // Increase list size
if (tail == null) // the new node is the only node in list
tail = head;
}
/** Add an element to the end of the list */
public void addLast(E e) {
Node<E> newNode = new Node<E>(e); // Create a new for element e
if (tail == null) {
head = tail = newNode; // The new node is the only node in list
}
else {
tail.next = newNode;// Link the new with the last node
newNode.previous = tail;
tail = tail.next; // tail now points to the last node
}
size++; // Increase size
}
#Override /** Add a new element at the specified index
* in this list. The index of the head element is 0 */
public void add(int index, E e) {
if (index == 0) {
addFirst(e);
}
else if (index >= size) {
addLast(e);
}
else {
Node<E> current = tail;
for (int i = size - 1; i > index; i--) {
current = current.previous;
}
Node<E> temp = current.next;
current.next = new Node<E>(e);
(current.next).previous = current;
(current.next).next = temp;
size++;
}
}
/** Remove the head node and
* return the object that is contained in the removed node. */
public E removeFirst() {
if (size == 0) {
return null;
}
else {
Node<E> temp = head;
head = head.next;
head.previous = null;
size--;
if (head == null) {
tail = null;
}
return temp.element;
}
}
/** Remove the last node and
* return the object that is contained in the removed node. */
public E removeLast() {
if (size == 0) {
return null;
}
else if (size == 1) {
Node<E> temp = head;
head = tail = null;
size = 0;
return temp.element;
}
else {
Node<E> temp = tail;
tail = tail.previous;
tail.next = null;
size--;
return temp.element;
}
}
#Override /** Remove the element at the specified position in this
* list. Return the element that was removed from the list. */
public E remove(int index) {
if (index < 0 || index >= size) {
return null;
}
else if (index == 0) {
return removeFirst();
}
else if (index == size - 1) {
return removeLast();
}
else {
Node<E> previous = tail;
for (int i = size - 1; i > index; i--) {
previous = previous.previous;
}
Node<E> current = previous.next;
(current.next).previous = previous;
previous.next = current.next;
size--;
return current.element;
}
}
#Override /** Override toString() to return elements in the list */
public String toString() {
StringBuilder result = new StringBuilder("[");
Node<E> current = tail;
for (int i = size - 1; i > 0; i--) {
result.append(current.element);
current = current.previous;
if (current != null) {
result.append(" ,"); // Separate two elements with a comma
}
else {
result.append("["); // Insert the closing ] in the string
}
}
return result.toString();
}
#Override /** Clear the list */
public void clear() {
size = 0;
head = tail = null;
}
#Override /** Override iterator() defined in Iterable */
public ListIterator<E> listIterator() {
Node<E> current = head; // Current index
return list.listIterator();
}
#Override /** Override iterator() defined in Iterable */
public ListIterator<E> listIterator(int index) {
Node<E> current = head; // Current index
for (int i = 0; i < index; i++) { // sets current int to the parameter
current = current.next;
}
return list.listIterator();
}
#Override
public int size()
{
return size;
}
public class Node<E> {
E element;
Node<E> next;
Node<E> previous;
public Node(E element) {
this.element = element;
}
}
}
This is my original class, I will include my test case below but first let me explain my problem. I am trying to create a Doubly linked list and iterate backwards through it. However I am getting a Null Pointer Exception by just adding elements to the list. I have looked over the section of code for my addFirst method for about 2 hours now and don't see any logic errors(doesn't mean there arent any), please help!
Here is my test case as promised.
public class TestMyLinkedList {
/** Main method */
public static void main(String[] args) {
// Create a list for strings
MyTwoWayLinkedList<String> list = new MyTwoWayLinkedList<String>();
// Add elements to the list
list.add("America"); // Add it to the list
System.out.println("(1) " + list);
list.add(0, "Canada"); // Add it to the beginning of the list
System.out.println("(2) " + list);
list.add("Russia"); // Add it to the end of the list
System.out.println("(3) " + list);
list.addLast("France"); // Add it to the end of the list
System.out.println("(4) " + list);
list.add(2, "Germany"); // Add it to the list at index 2
System.out.println("(5) " + list);
list.add(5, "Norway"); // Add it to the list at index 5
System.out.println("(6) " + list);
list.add(0, "Poland"); // Same as list.addFirst("Poland")
System.out.println("(7) " + list);
// Remove elements from the list
list.remove(0); // Same as list.remove("Australia") in this case
System.out.println("(8) " + list);
list.remove(2); // Remove the element at index 2
System.out.println("(9) " + list);
list.remove(list.size() - 1); // Remove the last element
System.out.print("(10) " + list + "\n(11) ");
for (String s: list)
System.out.print(s.toUpperCase() + " ");
list.clear();
System.out.println("\nAfter clearing the list, the list size is "
+ list.size());
}
}
I'm not completely sure why you are using a LinkedList within your own implementation of a Double Linked List. In regards to your question about your addFirst method however, I have the following comments and an example of how I would approach this solution.
Head is null when you call the addFirst method.
Head has not been initialized as a new Node.
Therefore newNode.next = head; is actually newNode.next = null; There is your null pointer exception, I would imagine!
public void addFirst (E e)
{
Node<E> newNode = new Node<E>(e); //create new node
if (head != null){ //if head exists
newNode.next = head; //the new node's next link becomes the old head
}
head = newNode; //the new head is the new node
if (tail == null){ //if the tail is non existent ie head the only object in list
tail = head; //the head and the tail are the same
head.next = tail; //the 'next' value of head will be tail
}
head.prev = tail; //the previous node to head will always be tail
size++;
}
}

Scrolling with mouse Win 8.1 Metro Hub Navigation

I am trying to find a solution to allow a Hub to pan with the mouse when its reaches the left or right boundary. I have implemented the code below which i have gleaned from various sources.
` private void theHubPointerMoved(object sender, PointerRoutedEventArgs e)
{ Windows.UI.Xaml.Input.Pointer ptr = e.Pointer;
if (ptr.PointerDeviceType == Windows.Devices.Input.PointerDeviceType.Mouse)
{
Windows.UI.Input.PointerPoint ptrPt = e.GetCurrentPoint(null);
if (ptrPt.Position.X < this.ActualWidth - 20)
if (ptrPt.Position.X > 20)
{
//Do the SCROLLING HERE
var xcord = Math.Round(ptrPt.Position.X, 2);
var ycord = Math.Round(ptrPt.Position.Y, 2);
}
}
e.Handled = true;
}`
So it is relativley easy to see when the mouse is at the screen edge. I thought it would be easy to simply use the MyHub.ScrollViewer.ScrollToHorizontalOffset(xcord); but the Hub Scrollviewer doesnt expose this ScrollToHorizontalOffset function.
Can anyone assist?
Thanks.
Oh, it's exposed. If you can handle digging for it. Here's how:
http://xaml.codeplex.com/SourceControl/latest#Blog/201401-ScrollHub/MainPage.xaml.cs
In the example below, it is scrolling to a specific hub section. But you should be able to easily adapt it to your specific needs, I hope.
private void ScollHubToSection(Hub hub, HubSection section)
{
var visual = section.TransformToVisual(this.MyHub);
var point = visual.TransformPoint(new Point(0, 0));
var viewer = Helpers.FindChild<ScrollViewer>(hub, "ScrollViewer");
viewer.ChangeView(point.X, null, null);
}
Using this:
public class Helpers
{
public static T FindChild<T>(DependencyObject parent, string childName) where T : DependencyObject
{
if (parent == null) return null;
T foundChild = null;
int childrenCount = VisualTreeHelper.GetChildrenCount(parent);
for (int i = 0; i < childrenCount; i++)
{
var child = VisualTreeHelper.GetChild(parent, i);
T childType = child as T;
if (childType == null)
{
foundChild = FindChild<T>(child, childName);
if (foundChild != null) break;
}
else if (!string.IsNullOrEmpty(childName))
{
var frameworkElement = child as FrameworkElement;
if (frameworkElement != null && frameworkElement.Name == childName)
{
foundChild = (T)child;
break;
}
}
else
{
foundChild = (T)child;
break;
}
}
return foundChild;
}
}
Best of luck!

How to access Topic name from pdfs using poppler?

I am using poppler, and I want to access topic or headings of a particular page number using poppler, so please tell me how to do this using poppler.
Using the glib API. Don't know which API you want.
I'm pretty sure there is no topic/heading stored with a particular page.
You have to walk the index, if there is one.
Walk the index with backtracking. If you are lucky, each index node contains a PopplerActionGotoDest (check type!).
You can grab the title from the PopplerAction object (gchar *title) and get the page number from the included PopplerDest (int page_num).
page_num should be the first page of the section.
Assuming your PDF has an index containing PopplerActionGotoDest objects.
Then you simply walk it, checking for the page_num.
If page_num > searched_num, go back one step.
When you are at the correct parent, walk the childs. This should give you the best match.
I just made some code for it:
gchar* getTitle(PopplerIndexIter *iter, int num, PopplerIndexIter *last,PopplerDocument *doc)
{
int cur_num = 0;
int next;
PopplerAction * action;
PopplerDest * dest;
gchar * title = NULL;
PopplerIndexIter * last_tmp;
do
{
action = poppler_index_iter_get_action(iter);
if (action->type != POPPLER_ACTION_GOTO_DEST) {
printf("No GOTO_DEST!\n");
return NULL;
}
//get page number of current node
if (action->goto_dest.dest->type == POPPLER_DEST_NAMED) {
dest = poppler_document_find_dest (doc, action->goto_dest.dest->named_dest);
cur_num = dest->page_num;
poppler_dest_free(dest);
} else {
cur_num = action->goto_dest.dest->page_num;
}
//printf("cur_num: %d, %d\n",cur_num,num);
//free action, as we don't need it anymore
poppler_action_free(action);
//are there nodes following this one?
last_tmp = poppler_index_iter_copy(iter);
next = poppler_index_iter_next (iter);
//descend
if (!next || cur_num > num) {
if ((!next && cur_num < num) || cur_num == num) {
//descend current node
if (last) {
poppler_index_iter_free(last);
}
last = last_tmp;
}
//descend last node (backtracking)
if (last) {
/* Get the the action and do something with it */
PopplerIndexIter *child = poppler_index_iter_get_child (last);
gchar * tmp = NULL;
if (child) {
tmp = getTitle(child,num,last,doc);
poppler_index_iter_free (child);
} else {
action = poppler_index_iter_get_action(last);
if (action->type != POPPLER_ACTION_GOTO_DEST) {
tmp = NULL;
} else {
tmp = g_strdup (action->any.title);
}
poppler_action_free(action);
poppler_index_iter_free (last);
}
return tmp;
} else {
return NULL;
}
}
if (cur_num > num || (next && cur_num != 0)) {
// free last index_iter
if (last) {
poppler_index_iter_free(last);
}
last = last_tmp;
}
}
while (next);
return NULL;
}
getTitle gets called by:
for (i = 0; i < num_pages; i++) {
iter = poppler_index_iter_new (document);
title = getTitle(iter,i,NULL,document);
poppler_index_iter_free (iter);
if (title) {
printf("title of %d: %s\n",i, title);
g_free(title);
} else {
printf("%d: no title\n",i);
}
}