How to find max value in a binary tree - java

I have to complete the method maxElem(Node node) in such a way that the method maxElem() returns the maximum value contained in a binary tree.
How can I do that? I do not know how to do that..
public class BinaryTree {
protected class Node {
protected Integer element;
protected Node left;
protected Node right;
Node(int element) {
this.element = element;
left = right = null;
}
Node(int element, Node left, Node right) {
this.element = element;
this.left = left;
this.right = right;
}
} //end Node class
public class NodeReference {
private Node node;
private NodeReference(Node node) {
this.node = node;
}
public int getElement() {
return node.element;
}
public void setElement(int e) {
node.element = e;
}
}
protected Node root;
public BinaryTree() {
root = null;
}
private class BoolNode {
boolean found;
Node node;
BoolNode(boolean found, Node node) {
this.found = found;
this.node = node;
}
}
public int maxElem() {
if(root == null)
throw new IllegalStateException("Empty tree.");
return maxElem(root);
}
private static int max3(int x, int y, int z) {
return max(x, max(y, z));
}
private int maxElem(Node node) {
//...
}
}
Thanks a lot!

Try:
private int maxElem(Node node) {
int max = node.element;
if(node.left != null) {
max = Math.max(max, maxElem(node.left));
}
if(node.right != null) {
max = Math.max(max, maxElem(node.right));
}
return max;
}

1)Using Recursion:
Note:You need the add getElement(), getRight(), getLeft() methods in your Node class so that the below code could work.
public int findMaxInTree(Node root) {
int max = Integer.MIN_VALUE; //set a default max value
if (root == null)
return max; //if root is null
else {
int left_max = findMaxInTree(root.getLeft()); //get left side max
int right_max = findMaxInTree(root.getRight()); //get right side max
if (left_max > right_max) //if left>right
max = left_max; //set max=left
else
max=right_max; //else set max=right
if (root.getElement() > max) //if root is greater than max of left or right
max = root.getElement(); //set max=root
}
return max; //return max
}
2)You can use the concept of Breadth First Traversal to find the max.
public void findMax(Node root) {
if (root == null)
System.out.println("empty tree");
else {
Queue<Node> queue = new LinkedList<Node>(); //make a queue
Node max = root; //suppose max is root
queue.add(root); //add root to queue
while (queue.size() != 0) { //while size of queue is not empty
Node temp = queue.remove(); //remove an item from queue
if (temp.getElement() > max.getElement()) //if removed item is greater than max
max = temp; //set new max
if (temp.getLeft() != null)
queue.add(temp.getLeft()); //traverse left
if (temp.getRight() != null)
queue.add(temp.getRight()); //traverse right
}
System.out.println(max.getElement()); //in the end ,print the max
}
}

Here is one way you could get the maximum value of a tree.
public static int maxElem(Node node) {
if (node == null) {
return Integer.MIN_VALUE;
}
int max = Math.max(maxElem(node.left), maxElem(node.right));
return max > node.element ? max : node.element;
}

public static void maxElement(Node node, int max){
static int MaxTemp;
if(node==null)
return;
if(node.getData()>min)
MaxTemp=node.getData();
if(node.getLeft()!=null && node.getLeft().getData()>max)
MaxTemp=node.getLeft().getData();
if(node.getRight()!=null && node.getRight().getData()>max)
MaxTemp=node.getRight().getData();
maxElement(node.getLeft(), MaxTemp);
maxElement(node.getRight(), MaxTemp);
}

public static int maxInTree(BinTreeNode<int> t)
{
int max = t.GetInfo();
if (t != null)
{
if (t.GetLeft() != null)
max = Math.Max(max, maxInTree(t.GetLeft()));
if (t.GetRight() != null)
max = Math.Max(max, maxInTree(t.GetRight()));
}
return max;
}

Related

How to extract the maximum value from a N-ary tree using recursion in Java

I am trying to find a way to keep track of the maximum value in my code. Right now I know that my for-loop looks at every node in my tree and compares it to the last max. But my issue is as the function calls are popped off the stack I end up only evaluating the first set of children and my max is chosen from those rather than the whole tree. The nodes can have any number of children and a payload.
public static Integer max(TreeNode<Integer> root) {
if (root == null) {
return null;
}
int maximum = root.payload;
if (root != null) {
for (int i = 0; i < root.children.size(); i++) {
if (root.children.get(i).payload > maximum) {
maximum = root.children.get(i).payload;
}
max(root.children.get(i));
}
}
return maximum;
}
tree example:
1
4 6 7
9 10 11 12
Max:12
My Max:7
public class TreeNode<T> {
public ArrayList<TreeNode<T>> children;
public T payload;
}
You could try this
public static Integer max(TreeNode<Integer> root) {
if (root == null) {
return null;
}
if (root.children == null) {
return null;
}
int maximum = root.payload;
for (int i = 0; i < root.children.size(); i++) {
if (root.children.get(i).payload > maximum) {
maximum = root.children.get(i).payload;
}
Integer childsMaximun = max(root.children.get(i));
if ((childsMaximun != null) && (childsMaximun > maximum)){
maximum = childsMaximun;
}
}
return maximum;
}
You need to add contructor to initialize an ArrayList, try my TreeNode class:
public class TreeNode<T> {
public T payload;
public List<TreeNode<T>> children;
public TreeNode(T payload) {
this.payload = payload;
children = new ArrayList<>();
}
public void addChildren(T... childs){
for (T child: childs){
TreeNode<T> node = new TreeNode<>(child);
children.add(node);
}
}
public void addChildren(TreeNode<T>... childs){
for (TreeNode<T> child: childs){
children.add(child);
}
}
public static TreeNode<Integer> DEFAULT(){
TreeNode<Integer> root7 = new TreeNode<>(7);
root7.addChildren(10,11,12);
TreeNode<Integer> root6 = new TreeNode<>(6);
TreeNode<Integer> root4 = new TreeNode<>(4);
root4.addChildren(9);
TreeNode<Integer> root1 = new TreeNode<>(1);
root1.addChildren(root7, root6, root4);
return root1;
}
}
public static int maximum(TreeNode<Integer> t) {
if (t == null) {
return 0;
}
int max = t.payload;
List<TreeNode<Integer>> children = t.children;
if (children != null && children.size() > 0) {
for (TreeNode<Integer> e: children) {
// recursive call here
int maxNext = maximum(e);
if (maxNext > max) max = maxNext;
}
}
return max;
}
Your solution is not recursive. You are only checking the max in the children of root, not deeper than that.
You should traverse through all the children and keep on updating max. I have done it using recursion, there can be many other ways to traverse a tree.

Generic linked-list remove, size, get methods

I have just seen this wonderful code from this question "Generic Linked List in java" here on Stackoverflow. I was wandering on how do you implement a method remove (to remove a single node from the linkedlist), size (to get the size of list) and get (to get the a node). Could someone please show me how to do it?
public class LinkedList<E> {
private Node head = null;
private class Node {
E value;
Node next;
// Node constructor links the node as a new head
Node(E value) {
this.value = value;
this.next = head;//Getting error here
head = this;//Getting error here
}
}
public void add(E e) {
new Node(e);
}
public void dump() {
for (Node n = head; n != null; n = n.next)
System.out.print(n.value + " ");
}
public static void main(String[] args) {
LinkedList<String> list = new LinkedList<String>();
list.add("world");
list.add("Hello");
list.dump();
}
}
Your implementation of LinkedList for operation remove(), size() and contains()
looks like this:
static class LinkedList<Value extends Comparable> {
private Node head = null;
private int size;
private class Node {
Value val;
Node next;
Node(Value val) {
this.val = val;
}
}
public void add(Value val) {
Node oldHead = head;
head = new Node(val);
head.next = oldHead;
size++;
}
public void dump() {
for (Node n = head; n != null; n = n.next)
System.out.print(n.val + " ");
System.out.println();
}
public int size() {
return size;
}
public boolean contains(Value val) {
for (Node n = head; n != null; n = n.next)
if (n.val.compareTo(val) == 0)
return true;
return false;
}
public void remove(Value val) {
if (head == null) return;
if (head.val.compareTo(val) == 0) {
head = head.next;
size--;
return;
}
Node current = head;
Node prev = head;
while (current != null) {
if (current.val.compareTo(val) == 0) {
prev.next = current.next;
size--;
break;
}
prev = current;
current = current.next;
}
}
}

Finding the oldest element in a min priority queue java

I am supposed to return the oldest element in a priority min queue along with said element. I have to use nodes, arrays are optional. This is what I got so far but I have an null pointer error on line 20 and i don't know how to fix it. Please help
public class MinHeap {
public static int timeStamp = 0;
public static int ts = 0;
public static int maxTime = 0;
public static Node root;
public MinHeap(){
this.root = null;
}
public static void insert(int id, int ts){
timeStamp++;
Node newNode = new Node(id);
if(root==null){
root = newNode;
}
Node current = root;
Node parent = null;
while(true){
parent = current;
if(id < current.data){
current = current.left;
if(current==null){
parent.left = newNode;
}
}else{
current = current.right;
if(current==null){
parent.right = newNode;
}
}
}
}
public static Node delete(int x, Node n){
timeStamp++;
if(n==null)
return n;
if(x == n.data){
if(n.left == null && n.right == null){
return null;
}else if(n.left == null){
n.right = delete(x, n.right);
return n;
}else if(n.right == null){
n.left = delete(x, n.left);
return n;
}else{
Node tempNode = findMin(n.right);
n.right = delete(tempNode.data, n.right);
n.data = tempNode.data;
return n;
}
}
if(x < n.data){
n.left = delete(x, n.left);
return n;
}else{
n.right = delete(x, n.right);
return n;
}
}
public static void display(Node root){
if(root!=null){
display(root.left);
System.out.print(" " + root.data);
display(root.right);
}
}
public static Node findMin(Node n){
if(n == null){
return null;
}
if(n.left == null){
return n;
}
return findMin(n.left);
}
public static int maxAge(){
int currentAge = 0;
currentAge = timeStamp - ts;
if(currentAge > maxTime)
maxTime = currentAge;
return maxTime;
}
public static void main(String [] arg){
MinHeap min = new MinHeap();
min.insert(1, ts = 0);
min.insert(2, ts = 1);
min.insert(3, ts = 2);
min.insert(4, ts = 4);
min.delete(1, root);
min.delete(2, root);
min.delete(3, root);
min.delete(4, root);
min.maxAge();
}
}
class Node{
int data;
Node left;
Node right;
public Node(int data){
this.data = data;
left = null;
right = null;
}
}
Your insert is broken. You forgot to break after finding the insert point, and you're not checking for the case where the key is already in the tree.
while (true) {
parent = current;
if (id < current.data) {
current = current.left;
if (current == null) {
parent.left = newNode;
// Break after insert
break;
}
} else if (id > current.data) {
current = current.right;
if (current == null) {
parent.right = newNode;
// Break after insert
break;
}
} else {
// Key exists.
break;
}
}

Finding a node in a binary search tree in java?

I am trying to write a method that returns the depth of a target int in a binary search tree. Right now it works for some smaller trees, but not always. Does anyone see where I may be going wrong?
static int count=1;
public static int findDepth(TreeNode<Integer> root, int target)
// pre: 0 or more elements in the tree, integer to search for
// post: return depth of target if found, -1 otherwise
{
count++;
if (root!=null)
{
if (root.getValue()<target)
{
if (root.getValue()==target)
{System.out.println(count);
return count;}
else
{findDepth(root.getLeft(), target);
count--;
findDepth(root.getRight(), target);
}
}
else if (root.getValue()>target)
{
if (root.getValue()==target)
{System.out.println(count);
return count;}
else
{findDepth(root.getLeft(), target);
count--;
findDepth(root.getRight(), target);
}
}
else if (root.getValue()==target)
return 1;
else
return -1;
}
return count;
}
There's a few things wrong.
It will never get into this case:
if (root.getValue()<target)
{
if (root.getValue()==target)
{System.out.println(count);
return count;}
Also it will never get into this case:
else if (root.getValue()>target)
{
if (root.getValue()==target)
{System.out.println(count);
return count;}
The biggest issue is that you're keeping a global static count, and recursively going through both left and right paths.
First of all, for a BST, there is no need to go both left and right.
Second, it's better to pass the count through a parameter rather than keeping a global.
Rather than fix your code, I'll post this working example for you to use as a reference:
public class Main
{
public static void main(String[] args)
{
BinaryTree tree = new BinaryTree();
tree.add(20);
tree.add(10);
tree.add(30);
tree.add(15);
tree.add(25);
tree.add(5);
tree.add(35);
tree.add(1);
tree.add(6);
tree.add(14);
tree.add(16);
tree.add(24);
tree.add(26);
tree.add(34);
tree.add(36);
int level = tree.getLevel(6);
System.out.println(level);
}
}
public class TreeNode
{
int data;
TreeNode left;
TreeNode right;
public TreeNode(int d){
data = d;
left = null;
right = null;
}
}
public class BinaryTree
{
TreeNode root;
public BinaryTree(){
root = null;
}
public int getLevel(int val) {
if (root == null) return 0;
return getLevelHelper(root, val, 0);
}
public int getLevelHelper(TreeNode node, int val, int level){
int retVal = -1;
if (node.data == val){
return level;
}
if (val < node.data && node.left != null){
retVal = getLevelHelper(node.left, val, level + 1);
}
else if (val > node.data && node.right != null){
retVal = getLevelHelper(node.right, val, level + 1);
}
return retVal;
}
public boolean add(int newData){
if (root == null){
root = new TreeNode(newData);
return true;
}
else{
TreeNode curr = root;
while (true){
if (curr.data == newData){
return false;
}
else if (curr.data > newData){
if (curr.left == null){
curr.left = new TreeNode(newData);
return true;
}
else{
curr = curr.left;
}
}
else{
if (curr.right == null){
curr.right = new TreeNode(newData);
return true;
}
else{
curr = curr.right;
}
}
}
}
}
}

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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