Binary Heap Implemented via a Binary Tree Structure - java

For an assignment, we were instructed to create a priority queue implemented via a binary heap, without using any built-in classes, and I have done so successfully by using an array to store the queued objects. However, I'm interested in learning how to implement another queue by using an actual tree structure, but in doing so I've run across a bit of a problem.
How would I keep track of the nodes on which I would perform insertion and deletion? I have tried using a linked list, which appends each node as it is inserted - new children are added starting from the first list node, and deleted from the opposite end. However, this falls apart when elements are rearranged in the tree, as children are added at the wrong position.
Edit: Perhaps I should clarify - I'm not sure how I would be able to find the last occupied and first unoccupied leaves. For example, I would always be able to tell the last inserted leaf, but if I were to delete it, how would I know which leaf to delete when I next remove the item? The same goes for inserting - how would I know which leaf to jump to next after the current leaf has both children accounted for?

A tree implementation of a binary heap uses a complete tree [or almost full tree: every level is full, except the deepest one].
You always 'know' which is the last occupied leaf - where you delete from [and modifying it is O(logn) after it changed so it is not a problem], and you always 'know' which is the first non-occupied leaf, in which you add elements to [and again, modifying it is also O(logn) after it changed].
The algorithm idea is simple:
insert: insert element to the first non-occupied leaf, and use heapify [sift up] to get this element to its correct place in the heap.
delete_min: replace the first element with the last occupied leaf, and remove the last occupied leaf. then, heapify [sift down] the heap.
EDIT: note that delete() can be done to any element, and not only the head, however - finding the element you want to replace with the last leaf will be O(n), which will make this op expensive. for this reason, the delete() method [besides the head], is usually not a part of the heap data structure.

I really wanted to do this for almost a decade.Finally sat down today and wrote it.Anyone who wants it can use it.I got inspired by Quora founder to relearn Heap.Apparently he was asked how would you find K near points in a set of n points in his Google phone screen.Apparently his answer was to use a Max Heap and to store K values and remove the maximum element after the size of the heap exceeds K.The approach is pretty simple and the worst case is nlog K which is better than n^2 in most sorting cases.Here is the code.
import java.util.ArrayList;
import java.util.List;
/**
* #author Harish R
*/
public class HeapPractise<T extends Comparable<T>> {
private List<T> heapList;
public List<T> getHeapList() {
return heapList;
}
public void setHeapList(List<T> heapList) {
this.heapList = heapList;
}
private int heapSize;
public HeapPractise() {
this.heapList = new ArrayList<>();
this.heapSize = heapList.size();
}
public void insert(T item) {
if (heapList.size() == 0) {
heapList.add(item);
} else {
siftUp(item);
}
}
public void siftUp(T item) {
heapList.add(item);
heapSize = heapList.size();
int currentIndex = heapSize - 1;
while (currentIndex > 0) {
int parentIndex = (int) Math.floor((currentIndex - 1) / 2);
T parentItem = heapList.get(parentIndex);
if (parentItem != null) {
if (item.compareTo(parentItem) > 0) {
heapList.set(parentIndex, item);
heapList.set(currentIndex, parentItem);
currentIndex = parentIndex;
continue;
}
}
break;
}
}
public T delete() {
if (heapList.size() == 0) {
return null;
}
if (heapList.size() == 1) {
T item = heapList.get(0);
heapList.remove(0);
return item;
}
return siftDown();
}
public T siftDown() {
T item = heapList.get(0);
T lastItem = heapList.get(heapList.size() - 1);
heapList.remove(heapList.size() - 1);
heapList.set(0, lastItem);
heapSize = heapList.size();
int currentIndex = 0;
while (currentIndex < heapSize) {
int leftIndex = (2 * currentIndex) + 1;
int rightIndex = (2 * currentIndex) + 2;
T leftItem = null;
T rightItem = null;
int currentLargestItemIndex = -1;
if (leftIndex <= heapSize - 1) {
leftItem = heapList.get(leftIndex);
}
if (rightIndex <= heapSize - 1) {
rightItem = heapList.get(rightIndex);
}
T currentLargestItem = null;
if (leftItem != null && rightItem != null) {
if (leftItem.compareTo(rightItem) >= 0) {
currentLargestItem = leftItem;
currentLargestItemIndex = leftIndex;
} else {
currentLargestItem = rightItem;
currentLargestItemIndex = rightIndex;
}
} else if (leftItem != null && rightItem == null) {
currentLargestItem = leftItem;
currentLargestItemIndex = leftIndex;
}
if (currentLargestItem != null) {
if (lastItem.compareTo(currentLargestItem) >= 0) {
break;
} else {
heapList.set(currentLargestItemIndex, lastItem);
heapList.set(currentIndex, currentLargestItem);
currentIndex = currentLargestItemIndex;
continue;
}
}
}
return item;
}
public static void main(String[] args) {
HeapPractise<Integer> heap = new HeapPractise<>();
for (int i = 0; i < 32; i++) {
heap.insert(i);
}
System.out.println(heap.getHeapList());
List<Node<Integer>> nodeArray = new ArrayList<>(heap.getHeapList()
.size());
for (int i = 0; i < heap.getHeapList().size(); i++) {
Integer heapElement = heap.getHeapList().get(i);
Node<Integer> node = new Node<Integer>(heapElement);
nodeArray.add(node);
}
for (int i = 0; i < nodeArray.size(); i++) {
int leftNodeIndex = (2 * i) + 1;
int rightNodeIndex = (2 * i) + 2;
Node<Integer> node = nodeArray.get(i);
if (leftNodeIndex <= heap.getHeapList().size() - 1) {
Node<Integer> leftNode = nodeArray.get(leftNodeIndex);
node.left = leftNode;
}
if (rightNodeIndex <= heap.getHeapList().size() - 1) {
Node<Integer> rightNode = nodeArray.get(rightNodeIndex);
node.right = rightNode;
}
}
BTreePrinter.printNode(nodeArray.get(0));
}
}
public class Node<T extends Comparable<?>> {
Node<T> left, right;
T data;
public Node(T data) {
this.data = data;
}
}
import java.util.ArrayList;
import java.util.Collections;
import java.util.List;
class BTreePrinter {
public static <T extends Comparable<?>> void printNode(Node<T> root) {
int maxLevel = BTreePrinter.maxLevel(root);
printNodeInternal(Collections.singletonList(root), 1, maxLevel);
}
private static <T extends Comparable<?>> void printNodeInternal(
List<Node<T>> nodes, int level, int maxLevel) {
if (nodes.isEmpty() || BTreePrinter.isAllElementsNull(nodes))
return;
int floor = maxLevel - level;
int endgeLines = (int) Math.pow(2, (Math.max(floor - 1, 0)));
int firstSpaces = (int) Math.pow(2, (floor)) - 1;
int betweenSpaces = (int) Math.pow(2, (floor + 1)) - 1;
BTreePrinter.printWhitespaces(firstSpaces);
List<Node<T>> newNodes = new ArrayList<Node<T>>();
for (Node<T> node : nodes) {
if (node != null) {
String nodeData = String.valueOf(node.data);
if (nodeData != null) {
if (nodeData.length() == 1) {
nodeData = "0" + nodeData;
}
}
System.out.print(nodeData);
newNodes.add(node.left);
newNodes.add(node.right);
} else {
newNodes.add(null);
newNodes.add(null);
System.out.print(" ");
}
BTreePrinter.printWhitespaces(betweenSpaces);
}
System.out.println("");
for (int i = 1; i <= endgeLines; i++) {
for (int j = 0; j < nodes.size(); j++) {
BTreePrinter.printWhitespaces(firstSpaces - i);
if (nodes.get(j) == null) {
BTreePrinter.printWhitespaces(endgeLines + endgeLines + i
+ 1);
continue;
}
if (nodes.get(j).left != null)
System.out.print("//");
else
BTreePrinter.printWhitespaces(1);
BTreePrinter.printWhitespaces(i + i - 1);
if (nodes.get(j).right != null)
System.out.print("\\\\");
else
BTreePrinter.printWhitespaces(1);
BTreePrinter.printWhitespaces(endgeLines + endgeLines - i);
}
System.out.println("");
}
printNodeInternal(newNodes, level + 1, maxLevel);
}
private static void printWhitespaces(int count) {
for (int i = 0; i < 2 * count; i++)
System.out.print(" ");
}
private static <T extends Comparable<?>> int maxLevel(Node<T> node) {
if (node == null)
return 0;
return Math.max(BTreePrinter.maxLevel(node.left),
BTreePrinter.maxLevel(node.right)) + 1;
}
private static <T> boolean isAllElementsNull(List<T> list) {
for (Object object : list) {
if (object != null)
return false;
}
return true;
}
}
Please note that BTreePrinter is a code I took somewhere in Stackoverflow long back and I modified to use with 2 digit numbers.It will be broken if we move to 3 digit numbers and it is only for simple understanding of how the Heap structure looks.A fix for 3 digit numbers is to keep everything as multiple of 3.
Also due credits to Sesh Venugopal for wonderful tutorial on Youtube on Heap data structure

public class PriorityQ<K extends Comparable<K>> {
private class TreeNode<T extends Comparable<T>> {
T val;
TreeNode<T> left, right, parent;
public String toString() {
return this.val.toString();
}
TreeNode(T v) {
this.val = v;
left = null;
right = null;
}
public TreeNode<T> insert(T val, int position) {
TreeNode<T> parent = findNode(position/2);
TreeNode<T> node = new TreeNode<T>(val);
if(position % 2 == 0) {
parent.left = node;
} else {
parent.right = node;
}
node.parent = parent;
heapify(node);
return node;
}
private void heapify(TreeNode<T> node) {
while(node.parent != null && (node.parent.val.compareTo(node.val) < 0)) {
T temp = node.val;
node.val = node.parent.val;
node.parent.val = temp;
node = node.parent;
}
}
private TreeNode<T> findNode(int pos) {
TreeNode<T> node = this;
int reversed = 1;
while(pos > 0) {
reversed <<= 1;
reversed |= (pos&1);
pos >>= 1;
}
reversed >>= 1;
while(reversed > 1) {
if((reversed & 1) == 0) {
node = node.left;
} else {
node = node.right;
}
reversed >>= 1;
}
return node;
}
public TreeNode<T> remove(int pos) {
if(pos <= 1) {
return null;
}
TreeNode<T> last = findNode(pos);
if(last.parent.right == last) {
last.parent.right = null;
} else {
last.parent.left = null;
}
this.val = last.val;
bubbleDown();
return null;
}
public void bubbleDown() {
TreeNode<T> node = this;
do {
TreeNode<T> left = node.left;
TreeNode<T> right = node.right;
if(left != null && right != null) {
T max = left.val.compareTo(right.val) > 0 ? left.val : right.val;
if(max.compareTo(node.val) > 0) {
if(left.val.equals(max)) {
left.val = node.val;
node.val = max;
node = left;
} else {
right.val = node.val;
node.val = max;
node = right;
}
} else {
break;
}
} else if(left != null) {
T max = left.val;
if(left.val.compareTo(node.val) > 0) {
left.val = node.val;
node.val = max;
node = left;
} else {
break;
}
} else {
break;
}
} while(true);
}
}
private TreeNode<K> root;
private int position;
PriorityQ(){
this.position = 1;
}
public void insert(K val) {
if(val == null) {
return;
}
if(root == null) {
this.position = 1;
root = new TreeNode<K>(val);
this.position++;
return ;
}
root.insert(val, position);
position++;
}
public K remove() {
if(root == null) {
return null;
}
K val = root.val;
root.remove(this.position-1);
this.position--;
if(position == 1) {
root = null;
}
return val;
}
public static void main(String[] args) {
PriorityQ<Integer> q = new PriorityQ<>();
System.out.println(q.remove());
q.insert(1);
q.insert(11);
q.insert(111);
q.insert(1111);
q.remove();
q.remove();
q.remove();
q.remove();
q.insert(2);
q.insert(4);
}
}

Related

Java : Binary tree Root to Leaf path with Minimum sum

I'm trying to find Minimum path sum from root to leaf also need to compute the minimum path. My solution works if the solution is in left sub tree, however if the result is in right subtree root node is added twice in the result path, can someone please take a look at my solution and help me fixing this bug, also suggest better runtime solution if there is any
import java.util.ArrayList;
import java.util.LinkedList;
import java.util.List;
import java.util.Queue;
import static java.lang.System.out;
public class MinPathSumFromRootToLeaf {
public static void main(String[] args) {
TreeNode root = new TreeNode(-1);
TreeNode left1 = new TreeNode(2);
TreeNode right1 = new TreeNode(1);//3
TreeNode left2 = new TreeNode(4);
root.left = left1;
root.right = right1;
left1.left = left2;
TreeNode left3 = new TreeNode(0);//5
TreeNode right3 = new TreeNode(1);//6
right1.left = left3;
right1.right = right3;
left3.left = new TreeNode(0);//7
right3.left = new TreeNode(8);
right3.right = new TreeNode(1);//9
printLevelOrder(root);
shortestPathFromRootToLeaf(root);
}
private static void shortestPathFromRootToLeaf(TreeNode root) {
List<Integer> result = new ArrayList<>();
int minsum[] = new int[1];
minsum[0] = Integer.MAX_VALUE;
backtrack(root, result, new ArrayList<>(), 0, minsum);
out.println(result + " minsum " + minsum[0]);
}
private static void backtrack(TreeNode node, List<Integer> result, List<Integer> currentpath, int currentSum, int[] minsum) {
if (node == null || currentSum > minsum[0]) {
return;
}
if (node.left == null && node.right == null) {
if (currentSum + node.val < minsum[0]) {
minsum[0] = currentSum + node.val;
currentpath.add(node.val);
result.clear();
result.addAll(new ArrayList<>(currentpath));
return;
}
}
if (node.left != null) {
currentpath.add(node.val);
backtrack(node.left, result, currentpath, currentSum + node.val, minsum);
currentpath.remove(currentpath.size() - 1);
}
if (node.right != null) {
currentpath.add(node.val);
backtrack(node.right, result, currentpath, currentSum + node.val, minsum);
currentpath.remove(currentpath.size() - 1);
}
}
static class TreeNode {
public int val;
public TreeNode left;
public TreeNode right;
public TreeNode() {}
public TreeNode(int val) { this.val = val; }
public TreeNode(int val, TreeNode left, TreeNode right) {
this.val = val;
this.left = left;
this.right = right;
}
}
static class QItem {
TreeNode node;
int depth;
public QItem(TreeNode node, int depth) {
this.node = node;
this.depth = depth;
}
}
static void printLevelOrder(TreeNode root) {
LinkedList<QItem> queue = new LinkedList<>();
ArrayList<TreeNode> level = new ArrayList<>();
int depth = height(root);
queue.add(new QItem(root, depth));
for (; ; ) {
QItem curr = queue.poll();
if (curr.depth < depth) {
depth = curr.depth;
for (int i = (int) Math.pow(2, depth) - 1; i > 0; i--) {
out.print(" ");
}
for (TreeNode n : level) {
out.print(n == null ? " " : n.val);
for (int i = (int) Math.pow(2, depth + 1); i > 1; i--) {
out.print(" ");
}
}
out.println();
level.clear();
if (curr.depth <= 0) {
break;
}
}
level.add(curr.node);
if (curr.node == null) {
queue.add(new QItem(null, depth - 1));
queue.add(new QItem(null, depth - 1));
} else {
queue.add(new QItem(curr.node.left, depth - 1));
queue.add(new QItem(curr.node.right, depth - 1));
}
}
}
static int height(TreeNode root) {
return root == null ? 0 : 1 + Math.max(
height(root.left), height(root.right)
);
}
static void printTree(TreeNode root) {
Queue<TreeNode> q = new LinkedList<>();
q.offer(root);
while (!q.isEmpty()) {
int size = q.size();
for (int i = 0; i < size; i++) {
TreeNode temp = q.poll();
out.print(" " + temp.val + " ");
if (temp.left != null) q.offer(temp.left);
if (temp.right != null) q.offer(temp.right);
}
out.println();
}
}
}
I am using backtracking to visit all nodes, I think time complexity of my solution would be O(N) (since all the nodes should be visited, please correct me if am wrong)
Every call of currentpath.add should be mirrored by a call of currentpath.remove. Your code does this fine, except in the bock below:
if (node.left == null && node.right == null) {
if (currentSum + node.val < minsum[0]) {
minsum[0] = currentSum + node.val;
currentpath.add(node.val);
result.clear();
result.addAll(new ArrayList<>(currentpath));
return;
}
}
So add that call of remove just before return.

how to create binary search tree 2d model from these codes?

hi im new to codings and i have to print my binary search tree in a 2d model but this codes only print the orders of number in order(left-root-right) such as when i insert 10, 9, 11, 8, it will print inorder (left root right) = 8,9,10,11. what method or codes should i add to create a 2d tree here. sorry idk how to properly put the codes here just look at it like it is only a one code only.
class binarySearchTree {
class Node {
int key;
Node left, right;
int data;
public Node(int data){
key = data;
left = right = null;
}
}
// BST root node
Node root;
// Constructor for BST =>initial empty tree
binarySearchTree(){
root = null;
}
//delete a node from BST
void deleteKey(int key) {
root = delete_Recursive(root, key);
}
//recursive delete function
Node delete_Recursive(Node root, int key) {
//tree is empty
if (root == null) return root;
//traverse the tree
if (key < root.key) //traverse left subtree
root.left = delete_Recursive(root.left, key);
else if (key > root.key) //traverse right subtree
root.right = delete_Recursive(root.right, key);
else {
// node contains only one child
if (root.left == null)
return root.right;
else if (root.right == null)
return root.left;
// node has two children;
//get inorder successor (min value in the right subtree)
root.key = minValue(root.right);
// Delete the inorder successor
root.right = delete_Recursive(root.right, root.key);
}
return root;
}
int minValue(Node root) {
//initially minval = root
int minval = root.key;
//find minval
while (root.left != null) {
minval = root.left.key;
root = root.left;
}
return minval;
}
// insert a node in BST
void insert(int key) {
root = insert_Recursive(root, key);
}
//recursive insert function
Node insert_Recursive(Node root, int key) {
//tree is empty
if (root == null) {
root = new Node(key);
return root;
}
//traverse the tree
if (key < root.key) //insert in the left subtree
root.left = insert_Recursive(root.left, key);
else if (key > root.key) //insert in the right subtree
root.right = insert_Recursive(root.right, key);
// return pointer
return root;
}
void inorder() {
inorder_Recursive(root);
}
// recursively traverse the BST
void inorder_Recursive(Node root) {
if (root != null) {
inorder_Recursive(root.left);
System.out.print(root.key + " x ");
inorder_Recursive(root.right);
}
}
//PostOrder Traversal - Left:Right:rootNode (LRn)
void postOrder(Node node) {
if (node == null)
return;
// first traverse left subtree recursively
postOrder(node.left);
// then traverse right subtree recursively
postOrder(node.right);
// now process root node
System.out.print(node.key + " ");
}
// InOrder Traversal - Left:rootNode:Right (LnR)
void inOrder(Node node) {
if (node == null)
return;
//first traverse left subtree recursively
inOrder(node.left);
//then go for root node
System.out.print(node.key + " ");
//next traverse right subtree recursively
inOrder(node.right);
}
//PreOrder Traversal - rootNode:Left:Right (nLR)
void preOrder(Node node) {
if (node == null)
return;
//first print root node first
System.out.print(node.key + " ");
// then traverse left subtree recursively
preOrder(node.left);
// next traverse right subtree recursively
preOrder(node.right);
}
// Wrappers for recursive functions
void postOrder_traversal() {
postOrder(root); }
void inOrder_traversal() {
inOrder(root); }
void preOrder_traversal() {
preOrder(root); }
}
here i found this codes in stackoverflow, i want te output like this, i can use this but i dont know how can i make this as user input for the data and make it insert the integer into a tree not this manually inserted of the integer. thankyou very much to whoever put effort to understand my question and my situation as newbie.
import java.util.ArrayList;
import java.util.Collections;
import java.util.List;
public class BTreePrinterTest {
private static Node<Integer> test2() {
Node<Integer> root = new Node<Integer>(2);
Node<Integer> n11 = new Node<Integer>(3);
Node<Integer> n12 = new Node<Integer>(5);
Node<Integer> n21 = new Node<Integer>(2);
Node<Integer> n22 = new Node<Integer>(6);
Node<Integer> n23 = new Node<Integer>(9);
Node<Integer> n31 = new Node<Integer>(5);
root.left = n11;
root.right = n12;
n11.left = n21;
n11.right = n22;
n12.left = n23;
n12.right = n31;
return root;
}
public static void main(String[] args) {
BTreePrinter.printNode(test2());
}
}
class Node<T extends Comparable<?>> {
Node<T> left, right;
T data;
public Node(T data) {
this.data = data;
}
}
class BTreePrinter {
public static <T extends Comparable<?>> void printNode(Node<T> root) {
int maxLevel = BTreePrinter.maxLevel(root);
printNodeInternal(Collections.singletonList(root), 1, maxLevel);
}
private static <T extends Comparable<?>> void printNodeInternal(List<Node<T>> nodes, int level, int maxLevel) {
if (nodes.isEmpty() || BTreePrinter.isAllElementsNull(nodes))
return;
int floor = maxLevel - level;
int endgeLines = (int) Math.pow(2, (Math.max(floor - 1, 0)));
int firstSpaces = (int) Math.pow(2, (floor)) - 1;
int betweenSpaces = (int) Math.pow(2, (floor + 1)) - 1;
BTreePrinter.printWhitespaces(firstSpaces);
List<Node<T>> newNodes = new ArrayList<Node<T>>();
for (Node<T> node : nodes) {
if (node != null) {
System.out.print(node.data);
newNodes.add(node.left);
newNodes.add(node.right);
} else {
newNodes.add(null);
newNodes.add(null);
System.out.print(" ");
}
BTreePrinter.printWhitespaces(betweenSpaces);
}
System.out.println("");
for (int i = 1; i <= endgeLines; i++) {
for (int j = 0; j < nodes.size(); j++) {
BTreePrinter.printWhitespaces(firstSpaces - i);
if (nodes.get(j) == null) {
BTreePrinter.printWhitespaces(endgeLines + endgeLines + i + 1);
continue;
}
if (nodes.get(j).left != null)
System.out.print("/");
else
BTreePrinter.printWhitespaces(1);
BTreePrinter.printWhitespaces(i + i - 1);
if (nodes.get(j).right != null)
System.out.print("\\");
else
BTreePrinter.printWhitespaces(1);
BTreePrinter.printWhitespaces(endgeLines + endgeLines - i);
}
System.out.println("");
}
printNodeInternal(newNodes, level + 1, maxLevel);
}
private static void printWhitespaces(int count) {
for (int i = 0; i < count; i++)
System.out.print(" ");
}
private static <T extends Comparable<?>> int maxLevel(Node<T> node) {
if (node == null)
return 0;
return Math.max(BTreePrinter.maxLevel(node.left), BTreePrinter.maxLevel(node.right)) + 1;
}
private static <T> boolean isAllElementsNull(List<T> list) {
for (Object object : list) {
if (object != null)
return false;
}
return true;
}
}
btw im learning this by my own, i tried merging the two codes but it gives me error i cant fix it.
I should have not made the whole exercise for you, so please try to understand the code. Tell me if something is not clear for you.
public static void main(String[] args) throws IOException {
System.out.println("Write your input");
BufferedReader br = new BufferedReader(new InputStreamReader(System.in));
String lines = br.readLine();
binarySearchTree b = new binarySearchTree();
b.input(lines);
b.print();
}
These functions go to binarySearchTree.
protected void printRecursive(Node node, int depth) {
System.out.println("");
for(int i = 0; i<depth; i++) {
System.out.print(" ");
}
System.out.print(node.key);
if(node.left != null) {
printRecursive(node.left, depth + 1);
}
if(node.right != null) {
printRecursive(node.right, depth + 1);
}
}
public void input(String s) throws IOException {
String[] strs = s.trim().split("\\s+");
for (int i = 0; i < strs.length; i++) {
insert(Integer.parseInt(strs[i]));
}
}
Also i used this answer in my code.

Linked list, count even and uneven positions, unsing recursion

I want to create two methods, "private int sumEven (Node node){}" for suming up even positions in a linked list and "sumOdd (Node node) {}" for suming up odd positions. I want to use recursion.
This is how far i've come, but i dont know what should I do next.
Does any one have a tipp or a hint for me, what should i do next?
public class RecursiveListTest {
static Node head;
static boolean found = false;
static int counter = 0;
public static void main(String[] args) {
RecursiveListTest list = new RecursiveListTest();
list.addNumber(3);
list.addNumber(5);
list.addNumber(2);
list.addNumber(7);
list.addNumber(5);
list.addNumber(1);
list.addNumber(4);
list.printList();
int sumEven = list.sumEven(head);
int sumOdd = list.sumOdd(head);
System.out.println();
System.out.println("Sum of even Positions: " + sumEven);
System.out.println();
System.out.println("Sum of odd Positions: " + sumOdd);
System.out.println();
}
// Node
private class Node {
Node next;
int value;
Node(int value, Node next) {
this.value = value;
this.next = next;
}
}
private int sumEven(Node n) {
int sumEven = 0;
int sumOdd = 0;
counter = counter + 1;
if (counter % 2 == 0) {
sumEven = sumEven + n.value;
if (n.next.next != null) {
sumEven = sumEven + sumEven(n.next.next);
}
}
else if (counter % 2 == 1) {
if (n.next != null) {
sumEven = sumEven + sumEven(n.next);
}
}
return sumEven;
}
private int sumOdd(Node n) {
return 0;
}
private void addNumber(int number) {
Node curr = head;
Node prev = null;
if (head == null) {
head = new Node(number, null);
} else {
while (curr != null) {
prev = curr;
curr = curr.next;
}
Node newNode = new Node(number, null);
prev.next = newNode;
}
}
private void printList() {
Node curr = head;
Node prev = null;
while (curr != null) {
System.out.print(curr.value + " ");
prev = curr;
curr = curr.next;
}
}
}
You should consider using variables private static int evenSum, oddSum and your methods could be:
private int sumEven() {
evenSum = 0;
sumEvenHelper(head);
return evenSum;
}
private int sumOdd() {
oddSum = 0;
sumEvenHelper(head);
return oddSum;
}
private void sumEvenHelper(Node n) {
if(n != null) {
evenSum += n.value;
sumOddHelper(n.next);
}
}
private void sumOddHelper(Node n) {
if(n != null) {
oddSum += n.value;
sumEvenHelper(n.next);
}
}
My code assumes head is list element 0. Otherwise you will call sumOddHelper(head) inside the sumEven and sumOdd methods.

Binary Tree Java Error

The error I believe starts on line 102: int treeDepth(Node Node) because when I run the code with a regular while loop with a count, it runs and displays a tree. But as soon as I change the while condition to while (treeDepth(this.root) <= 5) it runs but displays nothing, and I get no errors. Trying to make it so the tree that is created doesn't have a depth larger than 5.
import java.io.*;
import java.util.*;
class Node {
int value;
Node left;
Node right;
Node(int value) {
this.value = value;
right = null;
left = null;
}
}
public class treeStructureBinary{
Node root;
public static void main(String[] args) {
treeStructureBinary bn =new treeStructureBinary();
bn.appMain(args);
}
void appMain(String[] args) {
createBinaryTree();
}
private Node addRecursive(Node current, int value) {
if (current == null) {
return new Node(value);
}
if (value < current.value) {
current.left = addRecursive(current.left, value);
} else if (value > current.value) {
current.right = addRecursive(current.right, value);
} else {
return current;
}
return current;
}
public void add(int value) {
this.root = addRecursive(this.root, value);
}
public treeStructureBinary createBinaryTree() {
treeStructureBinary bt = new treeStructureBinary();
int [] array = new int[89];
int counter = 0;
boolean check = true;
while (treeDepth(this.root) <= 5)
{
Random rand = new Random();
int n = rand.nextInt(89) + 10;
for(int z = 0; z <= counter; z++)
{
if ( n == array[z])
{
check = false;
break;
}
}
if (check == true)
{
bt.add(n);
array[counter] = n;
counter++;
}
check = true;
}
bt.traverseLevelOrder();
return bt;
}
public void traverseLevelOrder() {
if (this.root == null) {
return;
}
Queue<Node> nodes = new LinkedList<>();
nodes.add(this.root);
while (!nodes.isEmpty()) {
Node node = nodes.remove();
System.out.print(" " + node.value);
if (node.left != null) {
nodes.add(node.left);
}
if (node.right != null) {
nodes.add(node.right);
}
}
}
int treeDepth(Node Node){
if (Node == null) {
return 0;
}else {
int lDepth = treeDepth(Node.left);
int rDepth = treeDepth(Node.right);
if (lDepth > rDepth) {
System.out.println("lDepth" + "\n");
return (lDepth + 1);
}else {
System.out.println("rDepth" + "\n");
return (rDepth + 1);
}
}
}
}
I think your addRecursive never actually adds the node to the tree--or always adds it? Anyway it looks funky. I'd focus on that for a bit.
This code in particular:
if (value < current.value) {
current.left = addRecursive(current.left, value);
} else if (value > current.value) {
current.right = addRecursive(current.right, value);
} else {
return current;
}
always forces an assign (even if it's not a leaf) and the final else will only execute when value == current.value which is probably not what you want.
I don't really want to go much further because it looks homeworky and you'll gain more figuring it out yourself.
It might work anyway (You just may be re-assigning every node at every level) but I'm not sure without running it.
Anyway, if this is a homework assignment I'd really like to commend you on your style, it's one of the best I've seen posted here for a homework-like question.
Main problem here is that you are working on two different trees.
First you create one tree in main function:
public static void main(String[] args) {
treeStructureBinary bn =new treeStructureBinary();
bn.appMain(args);
}
Then you create another one in createBinaryTree method:
public SthApplication createBinaryTree() {
treeStructureBinary bt = new treeStructureBinary();
See, you used new keyword twice, so there will be two objects.
Later in your app you refer to this.root (which is the one from main), but some methods use local variable bt.
In example, treeDepth(this.root) operates on different tree then the bt.add(n), so it goes into infinite loop.
If you solve that problem, you will know how to finish the rest.
Thanks guys I figured it out!
import java.io.*;
import java.util.*;
class Node {
int value;
int balancefactor;
int nodex;
Node left;
Node right;
Node(int value, int balancefactor, int nodex) {
this.value = value;
this.balancefactor = balancefactor;
this.nodex = nodex;
this.right = null;
this.left = null;
}
}
public class treeStructureBinary{
Node root;
public static void main(String[] args) {
treeStructureBinary bn =new treeStructureBinary();
bn.appMain(args);
}
void appMain(String[] args) {
int count = args.length;
if (count >1) {
count = 1;
}
String [] cmdln = {""};
for (int i=0;i<count;i++) {
cmdln[i]=args[i];
}
if (cmdln[0].equals("BT")){
createBinaryTree();
} else if (cmdln[0].equals("AVL")) {
} else {
System.out.println("Please enter BT or AVL to choose the type of
tree.");
}
}
private Node addRecursive(Node current, int value, int balancefactor, int
nodex) {
if (current == null) {
return new Node(value, balancefactor, nodex);
} if (value < current.value) {
balancefactor++;
nodex=(nodex*2);
current.left = addRecursive(current.left, value, balancefactor,
nodex);
} else if (value > current.value) {
balancefactor++;
nodex=(nodex*2)+1;
current.right = addRecursive(current.right, value, balancefactor,
nodex);
} else {
return current;
}
return current;
}
public void add(int value) {
int balancefactor=1;
int nodex=0;
this.root = addRecursive(this.root, value, balancefactor, nodex);
}
public treeStructureBinary createBinaryTree() {
treeStructureBinary bt = new treeStructureBinary();
int [] array = new int[89];
int counter = 0;
boolean check = true;
int temp = 0;
while (temp < 5) {
Random rand = new Random();
int n = rand.nextInt(89) + 10;
for(int z = 0; z <= counter; z++) {
if ( n == array[z]) {
check = false;
break;
}
}
if (check == true) {
bt.add(n);
array[counter] = n;
counter++;
}
check = true;
temp = bt.treeDepth();
}
bt.traverseLevelOrder();
Scanner reader =new Scanner(System.in);
System.out.println("\n\nEnter a number to delete or 0 to exit");
int input = reader.nextInt();
Boolean isMatch = true;
while (input!=0) {
for(int p = 0; p < counter; p++)
{
//System.out.println(array[p]);
if (input != array[p])
{
isMatch = false;
}
else
{
isMatch = true;
array[p] = 0;
break;
}
}
if (isMatch == false )
{
System.out.println("Error, number not found.");
}
bt.nodeDelete(input);
bt.traverseLevelOrder();
System.out.println("\n\nEnter a number to delete or 0 to exit");
input = reader.nextInt();
}
return bt;
}
public void traverseLevelOrder() {
int count = 0;
int outer = 31;
int inner = 30;
int lastnode= 0;
int check = 0;
if (this.root == null) {
return;
}
Queue<Node> nodes = new LinkedList<>();
nodes.add(this.root);
while (!nodes.isEmpty()) {
Node node = nodes.remove();
if (count < node.balancefactor) {
System.out.print("\n");
for (int i=0; i<outer; i++) {
System.out.print(" ");
}
inner=outer;
outer=outer/2;
count++;
lastnode=0;
check=0;
}
check=((node.nodex-lastnode));
for (int i=0; i<(inner*check*2);i++) {
System.out.print(" ");
}
if (check >1) {
for (int j=0;j<check;j++) {
System.out.print(" ");
}
}
lastnode=node.nodex;
System.out.print(node.value);
if (node.left != null) {
nodes.add(node.left);
}
if (node.right != null) {
if (node.right==null &&lastnode == 0) {
if (count==5) {
break;
}
System.out.print(" ");
}
nodes.add(node.right);
}
}
}
int treeDepth(){
int temp = treeDepthRecursive(this.root);
return temp;
}
int treeDepthRecursive(Node current) {
if (current == null) {
return 0;
} else {
int lDepth = treeDepthRecursive(current.left);
int rDepth = treeDepthRecursive(current.right);
if (lDepth > rDepth) {
return (lDepth + 1);
} else {
return (rDepth + 1);
}
}
}
public void nodeDelete(int value) {
nodeDeleteRecursive(root, value);
}
public Node nodeDeleteRecursive(Node current, int value) {
if (current == null) {
return null;
}
if (value == current.value) {
if (current.left ==null && current.right==null) {
return null;
}
if (current.right==null) {
return current.left;
}
if (current.left==null) {
return current.right;
}
int sValue = findSmall(current.right);
current.value = sValue;
current.right = nodeDeleteRecursive(current.right, sValue);
return current;
}
if (value < current.value) {
current.left = nodeDeleteRecursive(current.left, value);
return current;
}
current.right =nodeDeleteRecursive(current.right, value);
return current;
}
public int findSmall(Node root) {
return root.left == null?(root.value):(findSmall(root.left));
}
}

Recursively find nth to last element in linked list

I'm practicing basic data structure stuff and I'm having some difficulties with recursion. I understand how to do this through iteration but all of my attempts to return the nth node from the last of a linked list via recursion result in null. This is my code so far:
public static int i = 0;
public static Link.Node findnthToLastRecursion(Link.Node node, int pos) {
if(node == null) return null;
else{
findnthToLastRecursion(node.next(), pos);
if(++i == pos) return node;
return null;
}
Can anyone help me understand where I'm going wrong here?
This is my iterative solution which works fine, but I'd really like to know how to translate this into recursion:
public static Link.Node findnthToLast(Link.Node head, int n) {
if (n < 1 || head == null) {
return null;
}
Link.Node pntr1 = head, pntr2 = head;
for (int i = 0; i < n - 1; i++) {
if (pntr2 == null) {
return null;
} else {
pntr2 = pntr2.next();
}
}
while (pntr2.next() != null) {
pntr1 = pntr1.next();
pntr2 = pntr2.next();
}
return pntr1;
}
You need to go to the end and then count your way back, make sure to pass back the node each time its passed back. I like one return point
public static int i = 0;
public static Link.Node findnthToLastRecursion(Link.Node node, int pos) {
Link.Node result = node;
if(node != null) {
result = findnthToLastRecursion(node.next, pos);
if(i++ == pos){
result = node;
}
}
return result;
}
Working example outputs 7 as 2 away from the 9th and last node:
public class NodeTest {
private static class Node<E> {
E item;
Node<E> next;
Node<E> prev;
Node(Node<E> prev, E element, Node<E> next) {
this.item = element;
this.next = next;
this.prev = prev;
}
}
/**
* #param args
*/
public static void main(String[] args) {
Node first = null;
Node prev = null;
for (int i = 0; i < 10; i++) {
Node current = new Node(prev, Integer.toString(i),null);
if(i==0){
first = current;
}
if(prev != null){
prev.next = current;
}
prev = current;
}
System.out.println( findnthToLastRecursion(first,2).item);
}
public static int i = 0;
public static Node findnthToLastRecursion(Node node, int pos) {
Node result = node;
if (node != null) {
result = findnthToLastRecursion(node.next, pos);
if (i++ == pos) {
result = node;
}
}
return result;
}
}
No need for static variables.
public class List {
private Node head = null;
// [...] Other methods
public Node findNthLastRecursive(int nth) {
if (nth <= 0) return null;
return this.findNthLastRecursive(this.head, nth, new int[] {0});
}
private Node findNthLastRecursive(Node p, int nth, int[] pos) {
if (p == null) {
return null;
}
Node n = findNthLastRecursive(p.next, nth, pos);
pos[0]++;
if (pos[0] == nth) {
n = p;
}
return n;
}
}
You can do this a couple of ways:
recurse through the list once to find the list length, then write a recursive method to return the kth element (a much easier problem).
use an auxiliary structure to hold the result plus the remaining length; this essentially replaces the two recursions of the first option with a single recursion:
static class State {
Link.Node result;
int trailingLength;
}
public static Link.Node findnthToLastRecursion(Link.Node node, int pos) {
if(node == null) return null;
State state = new State();
findnthToLastRecursion(node, pos, state);
return state.result;
}
private static void findnthToLastRecursion(Link.Node node, int pos, State state) {
if (node == null) {
state.trailingLength = 0;
} else {
findnthToLastRecursion(node.next(), state);
if (pos == state.trailingLength) {
state.result = node;
}
++state.trailingLength;
}
}
I misunderstood the question. Here is an answer based on your iterative solution:
public static Link.Node findnthToLast(Link.Node head, int n) {
return findnthToLastHelper(head, head, n);
}
private static Link.Node findnthToLastHelper(Link.Node head, Link.Node end, int n) {
if ( end == null ) {
return ( n > 0 ? null : head);
} elseif ( n > 0 ) {
return findnthToLastHelper(head, end.next(), n-1);
} else {
return findnthToLastHelper(head.next(), end.next(), 0);
}
}
actually you don't need to have public static int i = 0; . for utill method the pos is :
pos = linked list length - pos from last + 1
public static Node findnthToLastRecursion(Node node, int pos) {
if(node ==null){ //if null then return null
return null;
}
int length = length(node);//find the length of the liked list
if(length < pos){
return null;
}
else{
return utill(node, length - pos + 1);
}
}
private static int length(Node n){//method which finds the length of the linked list
if(n==null){
return 0;
}
int count = 0;
while(n!=null){
count++;
n=n.next;
}
return count;
}
private static Node utill(Node node, int pos) {
if(node == null) {
return null;
}
if(pos ==1){
return node;
}
else{
return utill(node.next, pos-1);
}
}
Here node.next is the next node. I am directly accessing the next node rather than calling the next() method. Hope it helps.
This cheats (slightly) but it looks good.
public class Test {
List<String> list = new ArrayList<> (Arrays.asList("Zero","One","Two","Three","Four","Five","Six","Seven","Eight","Nine","Ten"));
public static String findNthToLastUsingRecursionCheatingALittle(List<String> list, int n) {
int s = list.size();
return s > n
// Go deeper!
? findNthToLastUsingRecursionCheatingALittle(list.subList(1, list.size()), n)
// Found it.
: s == n ? list.get(0)
// Too far.
: null;
}
public void test() {
System.out.println(findNthToLastUsingRecursionCheating(list,3));
}
public static void main(String args[]) {
new Test().test();
}
}
It prints:
Eight
which I suppose is correct.
I have use List instead of some LinkedList variant because I do not want to reinvent anything.
int nthNode(struct Node* head, int n)
{
if (head == NULL)
return 0;
else {
int i;
i = nthNode(head->left, n) + 1;
printf("=%d,%d,%d\n", head->data,i,n);
if (i == n)
printf("%d\n", head->data);
}
}
public class NthElementFromLast {
public static void main(String[] args) {
List<String> list = new LinkedList<>();
Stream.of("A","B","C","D","E").forEach(s -> list.add(s));
System.out.println(list);
System.out.println(getNthElementFromLast(list,2));
}
private static String getNthElementFromLast(List list, int positionFromLast) {
String current = (String) list.get(0);
int index = positionFromLast;
ListIterator<String> listIterator = list.listIterator();
while(positionFromLast>0 && listIterator.hasNext()){
positionFromLast--;
current = listIterator.next();
}
if(positionFromLast != 0) {
return null;
}
String nthFromLast = null;
ListIterator<String> stringListIterator = list.listIterator();
while(listIterator.hasNext()) {
current = listIterator.next();
nthFromLast = stringListIterator.next();
}
return nthFromLast;
}
}
This will find Nth element from last.
My approach is simple and straight,you can change the array size depending upon your requirement:
int pos_from_tail(node *k,int n)
{ static int count=0,a[100];
if(!k) return -1;
else
pos_from_tail(k->next,n);
a[count++]=k->data;
return a[n];
}
You'll have make slight changes in the code:
public static int i = 0;
public static Link.Node findnthToLastRecursion(Link.Node node, int pos) {
if(node == null) return null;
else{
**Link.Node temp = findnthToLastRecursion(node.next(), pos);
if(temp!=null)
return temp;**
if(++i == pos) return node;
return null;
}
}

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