How to merge single node trees into large tree - java

I have a project which is to “Start with the tree.java program (Listing 8.1) and modify it to create a binary
tree from a string of letters (like A, B, and so on) entered by the user. Each
letter will be displayed in its own node. Construct the tree so that all the nodes
that contain letters are leaves. Parent nodes can contain some non-letter
symbol like +. Make sure that every parent node has exactly two children.
Don’t worry if the tree is unbalanced.” The book gives us a hint on how to begin. “One way to begin is by making an array of trees. (A group of unconnected trees
is called a forest.) Take each letter typed by the user and put it in a node. Take
each of these nodes and put it in a tree, where it will be the root. Now put all
these one-node trees in the array. Start by making a new tree with + at the root
and two of the one-node trees as its children. Then keep adding one-node trees
from the array to this larger tree. Don’t worry if it’s an unbalanced tree.”
import java.io.*;
import java.util.*;
class Node
{
public String iData; // data item (key)
public Node leftChild; // this node’s left child
public Node rightChild; // this node’s right child
public void displayNode() // display ourself
{
System.out.print('{');
System.out.print(iData);
System.out.print("} ");
}
} // end class Node
class Tree
{
private Node root; // first node of tree
public void setNode(Node newNode)
{root = newNode;}
public Node getNode()
{return root;}
// -------------------------------------------------------------
public Tree() // constructor
{ root = null; } // no nodes in tree yet
// -------------------------------------------------------------
public void traverse(int traverseType)
{
switch(traverseType)
{
case 1: System.out.print("nPreorder traversal: ");
preOrder(root);
break;
case 2: System.out.print("nInorder traversal: ");
inOrder(root);
break;
case 3: System.out.print("nPostorder traversal: ");
postOrder(root);
break;
}
System.out.println();
}
private void preOrder(Node localRoot)
{
if(localRoot != null)
{
System.out.print(localRoot.iData + " ");
preOrder(localRoot.leftChild);
preOrder(localRoot.rightChild);
}
}
// -------------------------------------------------------------
private void inOrder(Node localRoot)
{
if(localRoot != null)
{
inOrder(localRoot.leftChild);
System.out.print(localRoot.iData + " ");
inOrder(localRoot.rightChild);
}
}
// -------------------------------------------------------------
private void postOrder(Node localRoot)
{
if(localRoot != null)
{
postOrder(localRoot.leftChild);
postOrder(localRoot.rightChild);
System.out.print(localRoot.iData + " ");
}
}
// -------------------------------------------------------------
public void displayTree()
{
Stack globalStack = new Stack();
globalStack.push(root);
int nBlanks = 32;
boolean isRowEmpty = false;
System.out.println(
"......................................................");
while(isRowEmpty==false)
{
Stack localStack = new Stack();
isRowEmpty = true;
for(int j=0; j<nBlanks; j++)
System.out.print(' ');
while(globalStack.isEmpty()==false)
{
Node temp = (Node)globalStack.pop();
if(temp != null)
{
System.out.print(temp.iData);
localStack.push(temp.leftChild);
localStack.push(temp.rightChild);
if(temp.leftChild != null ||
temp.rightChild != null)
isRowEmpty = false;
}
else
{
System.out.print("--");
localStack.push(null);
localStack.push(null);
}
for(int j=0; j<nBlanks*2-2; j++)
System.out.print(' ');
} // end while globalStack not empty
System.out.println();
nBlanks /= 2;
while(localStack.isEmpty()==false)
globalStack.push( localStack.pop() );
} // end while isRowEmpty is false
System.out.println(
"......................................................");
} // end displayTree()
// -------------------------------------------------------------
}
public class Leaves
{
//function used to enter the single node trees into a larger tree
public static void enterLetters(Node localRoot, Tree[] nodeTree, int i)
{
if(localRoot != null && i == nodeTree.length)
{
if(nodeTree.length == i - 1)
{
localRoot.leftChild = nodeTree[i].getNode();
localRoot.rightChild = nodeTree[i + 1].getNode();
enterLetters(localRoot.leftChild, nodeTree, i + 1);
}
else
{
Node plusNode = new Node();
plusNode.iData = "+";
localRoot.leftChild = plusNode;
localRoot.rightChild = nodeTree[i].getNode();
enterLetters(localRoot.leftChild, nodeTree, i + 1);
}
}
}
public static void main(String[] args)
{
Tree[] forest = new Tree[10];
Scanner sc = new Scanner(System.in);
for(int i = 0; i < 10; i++)
{
String letter;
forest[i] = new Tree();
System.out.println("Enter a letter: ");
letter = sc.nextLine();
Node newNode = new Node();
newNode.iData = letter;
forest[i].setNode(newNode);
}
Tree letterTree = new Tree();
Node firstNode = new Node();
firstNode.iData = "+";
letterTree.setNode(firstNode);
enterLetters(letterTree.getNode(), forest, 0);
letterTree.displayTree();
}
}
My problem is trying to get the array of single node trees into the larger tree. I tried making a recursive function but when I display the larger tree it only shows the first node and it is as if the function enterLeaves never did it’s job.

This can't be correct:
public static void enterLetters(Node localRoot, Tree[] nodeTree, int i) {
if (localRoot != null && i == nodeTree.length) {
if (nodeTree.length == i - 1) {
localRoot.leftChild = nodeTree[i].getNode();
localRoot.rightChild = nodeTree[i + 1].getNode();
enterLetters(localRoot.leftChild, nodeTree, i + 1);
} else {
Node plusNode = new Node();
plusNode.iData = "+";
localRoot.leftChild = plusNode;
localRoot.rightChild = nodeTree[i].getNode();
enterLetters(localRoot.leftChild, nodeTree, i + 1);
}
}
}
When you enter this method: localRoot != null, i == 0, and nodeTree.length==10
So the if statement is failing. I am guess the if statement should read:
if (localRoot != null && i < nodeTree.length)
Also, I am pretty sure your second if statement is incorrect also; I believe it should be.
if (nodeTree.length-2 == i) {
localRoot.leftChild = nodeTree[i].getNode();
localRoot.rightChild = nodeTree[i + 1].getNode();
return;
}
Instead of:
if (nodeTree.length == i - 1) {
localRoot.leftChild = nodeTree[i].getNode();
localRoot.rightChild = nodeTree[i + 1].getNode();
enterLetters(localRoot.leftChild, nodeTree, i + 1);
}
You want to stop when you have two Nodes left to process (nodeTree.length-2 == i) and after you do that you should return instead of entering the remaining letters.

Here's what I came up with that works:
Node.java
/** Represents a node in a binary tree data structure */
public class Node {
private char letter;
private Node leftChild;
private Node rightChild;
public Node(char letter) {
this.letter = letter;
}
public void setRightChild(Node rightChild) {
this.rightChild = rightChild;
}
public Node getRightChild() {
return rightChild;
}
public void setLeftChild(Node leftChild) {
this.leftChild = leftChild;
}
public Node getLeftChild() {
return leftChild;
}
/** Returns a String representation of this node. */
#Override
public String toString() {
return "" + letter;
}
}
Tree.java
import java.util.Stack;
/**
* A binary tree
*/
public class Tree {
private Node root;
public void setRoot(Node root) {
this.root = root;
}
public void addToLeft(Node node) {
root.setLeftChild(node);
}
public void addToRight(Node node) {
root.setRightChild(node);
}
public Node getRoot() {
return root;
}
public void displayTree() {
Stack<Node> globalStack = new Stack<>();
globalStack.push(root);
int nBlanks = 32;
boolean isRowEmpty = false;
System.out.println(
"......................................................");
while (!isRowEmpty) {
Stack<Node> localStack = new Stack<>();
isRowEmpty = true;
for (int j = 0; j < nBlanks; j++)
System.out.print(' ');
while (!globalStack.isEmpty()) {
Node temp = (Node) globalStack.pop();
if (temp != null) {
System.out.print(temp);
localStack.push(temp.getLeftChild());
localStack.push(temp.getRightChild());
if (temp.getLeftChild() != null ||
temp.getRightChild() != null)
isRowEmpty = false;
} else {
System.out.print("--");
localStack.push(null);
localStack.push(null);
}
for (int j = 0; j < nBlanks * 2 - 2; j++)
System.out.print(' ');
} // end while globalStack not empty
System.out.println();
nBlanks /= 2;
while (!localStack.isEmpty())
globalStack.push(localStack.pop());
} // end while isRowEmpty is false
System.out.println(
"......................................................");
}
}
Forest.java
/**
* A collection of OneNodeTrees combined together in one tree
*/
public class Forest {
private Tree[] forest;
private int forestIndex;
public Forest(int numTrees) {
forest = new Tree[numTrees];
forestIndex = 0;
}
public boolean add(Tree tree) {
if(forestIndex < forest.length) {
forest[forestIndex++] = tree;
return true;
} else {
return false;
}
}
public Tree createMainTree() {
Tree firstTree = new Tree();
firstTree.setRoot(new Node('+'));
firstTree.addToLeft(forest[0].getRoot());
firstTree.addToRight(forest[1].getRoot());
forest[1] = firstTree;
int mainTreeIndex = 0;
Tree tempTree;
for(mainTreeIndex = 2; mainTreeIndex < forest.length; mainTreeIndex++) {
tempTree = new Tree();
tempTree.setRoot(new Node('+'));
tempTree.addToLeft(forest[mainTreeIndex - 1].getRoot());
tempTree.addToRight(forest[mainTreeIndex].getRoot());
forest[mainTreeIndex] = tempTree;
}
return forest[mainTreeIndex - 1];
}
public static void main(String[] args) {
final int numberOfTrees = 6;
Forest forest = new Forest(numberOfTrees);
// Add characters starting from A which has ASCII value 65
int charLimit = 65 + numberOfTrees;
for(int i = 65; i < charLimit; i++) {
// Make new node.
Node newNode = new Node((char) i);
// Add that node to Tree as a root.
Tree newTree = new Tree();
newTree.setRoot(newNode);
// And add that one-node tree to forest(array)
forest.add(newTree);
}
Tree mainTree = forest.createMainTree();
mainTree.displayTree();
}
}

if(localRoot != null && i == nodeTree.length -1)
if you do not subtract one from node tree length you will have a duplicate child under the final parent node with 2 children

Related

How can I add an item to the end the a Linked List?

I am working on a project for my Data Structures class that asks me to write a class to implement a linked list of ints.
Use an inner class for the Node.
Include the methods below.
Write a tester to enable you to test all of the methods with whatever data you want in any order.
I have to create a method called "public void addToBack(int item)". This method is meant to "Add an Item to the end of the list" I have my code for this method down below. When I execute this method my list becomes empty. Does someone know what I did wrong and how to fix it?
import java.util.Random;
import java.util.Scanner;
public class LinkedListOfInts {
Node head;
Node tail;
private class Node {
int value;
Node nextNode;
public Node(int value, Node nextNode) {
this.value = value;
this.nextNode = nextNode;
}
}
public LinkedListOfInts(LinkedListOfInts other) {
Node tail = null;
for (Node n = other.head; n != null; n = n.nextNode) {
if (tail == null)
this.head = tail = new Node(n.value, null);
else {
tail.nextNode = new Node(n.value, null);
tail = tail.nextNode;
}
}
}
public LinkedListOfInts(int[] other) {
Node[] nodes = new Node[other.length];
for (int index = 0; index < other.length; index++) {
nodes[index] = new Node(other[index], null);
if (index > 0) {
nodes[index - 1].nextNode = nodes[index];
}
}
head = nodes[0];
}
public LinkedListOfInts(int N, int low, int high) {
Random random = new Random();
for (int i = 0; i < N; i++)
this.addToFront(random.nextInt(high - low) + low);
}
public void addToFront(int x) {
head = new Node(x, head);
}
public void addToBack(int x) {
if (head == null) {
head = new Node(x, head);
return;
}
tail = head;
while (tail.nextNode != null) {
tail = tail.nextNode;
}
tail.nextNode = new Node(x, tail);
}
public String toString() {
String result = "";
for (Node ptr = head; ptr != null; ptr = ptr.nextNode) {
if (!result.isEmpty()) {
result += ", ";
}
result += ptr.value;
}
return "[" + result + "]";
}
public static void main(String[] args) {
Scanner input = new Scanner(System.in);
LinkedListOfInts list = new LinkedListOfInts(10, 1, 20);
boolean done = false;
while (!done) {
System.out.println("1. Add to Back");
System.out.println("2. toString");
switch (input.nextInt()) {
case 1:
System.out.println("Add an Item to the Back of a List.");
list.addToBack(input.nextInt());
break;
case 2:
System.out.println("toString");
System.out.println(list.toString());
break;
}
}
}
}
When you add to the tail the nextNode should point to null
tail.nextNode = new Node(x, null);
At the moment you are having an endless loop

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.

Adding Number Represented by Linked List

I'm stuck on this problem:
You have two numbers represented by a linked list, where each node contains a single digit. The digits are stored in reverse order, such that the 1’s digit is at the head of the list. Write a function that adds the two numbers and returns the sum as a linked list.
EXAMPLE
Input: (3 -> 1 -> 5), (5 -> 9 -> 2)
Output: 8 -> 0 -> 8
The problem is that my result is 8 8 while the result should be 8 0 8.
I printed out the sum and it is 8 10 8 so it should work.
Any ideas?
Here is my code:
public Node addNumbers(Node number1, Node number2) {
if(number1 == null && number2 == null)
return null;
Node sumOf = null;
int sum = 0;
int carry = 0;
while(number1 != null && number2 != null) {
sum = number1.data + number2.data + carry;
System.out.println(sum);
// update carry for next operation
if(sum > 9)
carry = 1;
else
carry = 0;
if(sum > 9) {
if(sumOf == null) {
sumOf = new Node(sum % 10);
} else {
sumOf.next = new Node(sum % 10);
}
} else {
if(sumOf == null) {
sumOf = new Node(sum);
} else {
sumOf.next = new Node(sum);
}
}
number1 = number1.next;
number2 = number2.next;
}
return sumOf;
}
public void toString(Node node) {
System.out.println();
while (node != null) {
System.out.print(node.data + " ");
node = node.next;
}
}
public static void main(String[] args) {
AddTwoNumbers add = new AddTwoNumbers();
number1 = new Node(3);
number1.next = new Node(1);
number1.next.next = new Node(5);
number2 = new Node(5);
number2.next = new Node(9);
number2.next.next = new Node(2);
System.out.println("numbers: ");
add.toString(number1);
add.toString(number2);
System.out.println();
System.out.println("after adding: ");
add.toString(add.addNumbers(number1, number2));
}
}
You only ever set sumOf (if it is null) and sumOf.next (if sumOf is not null). Your resulting list therefore never has more than two elements. You need to track the current tail of your list and append there, instead of always appending to sumOf.
Additionally, you need to handle the cases where one input number has more digits than the other, and where you have non-zero carry after exhausting all the input digits. You do not presently handle either.
Here is the solution, do note that i carry forward when the sum of two integers is greater than 9 else i continue with the sum of next integers from both the list.
class Node {
private Object data;
private Node next;
public Object getData() { return data; }
public void setData(Object data) { this.data = data; }
public Node getNext() { return next; }
public void setNext(Node next) { this.next = next; }
public Node(final Object data, final Node next) {
this.data = data;
this.next = next;
}
#Override
public String toString() { return "Node:[Data=" + data + "]"; }
}
class SinglyLinkedList {
Node start;
public SinglyLinkedList() { start = null; }
public void addFront(final Object data) {
// create a reference to the start node with new data
Node node = new Node(data, start);
// assign our start to a new node
start = node;
}
public void addRear(final Object data) {
Node node = new Node(data, null);
Node current = start;
if (current != null) {
while (current.getNext() != null) {
current = current.getNext();
}
current.setNext(node);
} else {
addFront(data);
}
}
public void deleteNode(final Object data) {
Node previous = start;
if (previous == null) {
return;
}
Node current = previous.getNext();
if (previous != null && previous.getData().equals(data)) {
start = previous.getNext();
previous = current;
current = previous.getNext();
return;
}
while (current != null) {
if (current.getData().equals(data)) {
previous.setNext(current.getNext());
current = previous.getNext();
} else {
previous = previous.getNext();
current = previous.getNext();
}
}
}
public Object getFront() {
if (start != null) {
return start.getData();
} else {
return null;
}
}
public void print() {
Node current = start;
if (current == null) {
System.out.println("SingleLinkedList is Empty");
}
while (current != null) {
System.out.print(current);
current = current.getNext();
if (current != null) {
System.out.print(", ");
}
}
}
public int size() {
int size = 0;
Node current = start;
while (current != null) {
current = current.getNext();
size++;
}
return size;
}
public Node getStart() {
return this.start;
}
public Node getRear() {
Node current = start;
Node previous = current;
while (current != null) {
previous = current;
current = current.getNext();
}
return previous;
}
}
public class AddNumbersInSinglyLinkedList {
public static void main(String[] args) {
SinglyLinkedList listOne = new SinglyLinkedList();
SinglyLinkedList listTwo = new SinglyLinkedList();
listOne.addFront(5);
listOne.addFront(1);
listOne.addFront(3);
listOne.print();
System.out.println();
listTwo.addFront(2);
listTwo.addFront(9);
listTwo.addFront(5);
listTwo.print();
SinglyLinkedList listThree = add(listOne, listTwo);
System.out.println();
listThree.print();
}
private static SinglyLinkedList add(SinglyLinkedList listOne, SinglyLinkedList listTwo) {
SinglyLinkedList result = new SinglyLinkedList();
Node startOne = listOne.getStart();
Node startTwo = listTwo.getStart();
int carry = 0;
while (startOne != null || startTwo != null) {
int one = 0;
int two = 0;
if (startOne != null) {
one = (Integer) startOne.getData();
startOne = startOne.getNext();
}
if (startTwo != null) {
two = (Integer) startTwo.getData();
startTwo = startTwo.getNext();
}
int sum = carry + one + two;
carry = 0;
if (sum > 9) {
carry = sum / 10;
result.addRear(sum % 10);
} else {
result.addRear(sum);
}
}
return result;
}
}
Sample Run
Node:[Data=3], Node:[Data=1], Node:[Data=5]
Node:[Data=5], Node:[Data=9], Node:[Data=2]
Node:[Data=8], Node:[Data=0], Node:[Data=8]
**#In Python:-**
class Node():
def __init__(self,value):
self.value=value
self.nextnode=None
class LinkedList():
def __init__(self):
self.head=None
def add_element(self,value):
node=Node(value)
if self.head is None:
self.head =node
return
crnt_node=self.head
while crnt_node.nextnode is not None:
crnt_node=crnt_node.nextnode
crnt_node.nextnode=node
def reverse_llist(self):
crnt_node=self.head
if crnt_node == None:
print('Empty Linkned List')
return
old_node = None
while crnt_node:
temp_node = crnt_node.nextnode
crnt_node.nextnode = old_node
old_node = crnt_node
crnt_node = temp_node
self.head = old_node
def converted_llist(self):
crnt_node=self.head
carry_value=0
while True:
#print(crnt_node.value)
if (crnt_node.value+1)%10==0:
carry_value=1
crnt_node.value=0
print(crnt_node.value,end='->')
else:
print(crnt_node.value+carry_value,end='->')
if crnt_node.nextnode is None:
break
crnt_node=crnt_node.nextnode
print('None')
def print_llist(self):
crnt_node=self.head
while True:
print(crnt_node.value,end='->')
if crnt_node.nextnode is None:
break
crnt_node=crnt_node.nextnode
print('None')
list_convert=LinkedList()
list_convert.add_element(1)
list_convert.print_llist()
list_convert.add_element(9)
list_convert.print_llist()
list_convert.add_element(9)
list_convert.print_llist()
list_convert.add_element(9)
list_convert.print_llist()
list_convert.reverse_llist()
list_convert.print_llist()
list_convert.converted_llist()

Tree Print Tree Method

I am going over my old test from Data Structures, and I cannot figure out how to implement the printtree(int level) method in my Tree class. I am restricted to using this structure. I cannot figure out an implementation to use without root.right or root.left, this is very frustrating.
/*
Exam 2. Problem 2. 03/09/2012
*/
import java.util.List;
import java.util.ArrayList;
/**
A tree in which each node has an arbitrary number of children.
*/
public class Tree
{
private Node root;
class Node
{
public Object data;
public List<Node> children;
/**
Computes the size of the subtree whose root is this node.
#return the number of nodes in the subtree
*/
public int size()
{
int sum = 0;
for (Node child : children) { sum = sum + child.size(); }
return 1 + sum;
}
public int leaves() {
int count = 0;
for (Node child : children) {
if (child.size() == 1) {
count = count + 1;
} else {
count = count + child.leaves();
}
}
if (count == 0) {
count = count + 1;
}
return count;
}
public String printTree(int level) {
String S = "";
S += root.data + " (level:" + level + ") ";
if (root != null) {
return S;
}
if (root.children != null) {
S += root.printTree(level + 1);
}
return S;
}
}
/**
Constructs an empty tree.
*/
public Tree()
{
root = null;
}
/**
Constructs a tree with one node and no children.
#param rootData the data for the root
*/
public Tree(Object rootData)
{
root = new Node();
root.data = rootData;
root.children = new ArrayList<Node>();
}
/**
Adds a subtree as the last child of the root.
*/
public void addSubtree(Tree subtree)
{
root.children.add(subtree.root);
}
/**
Computes the size of this tree.
#return the number of nodes in the tree
*/
public int size()
{
if (root == null) { return 0; }
else { return root.size(); }
}
public int leaves() {
Node newNode = root;
if (root == null) { return 0; }
else { return root.leaves(); }
}
public String printTree() {
return root.children.printTree(0);
}
}
you just need to change 3 things:
Change root to this every where in the printTree(int level) method
The placement of if(this == null) should be checked before anything else
Use a for loop to print all of the children
public String printTree(int level) {
String S = "";
// notice the change to '=='
if (this == null)
return S;
S += this.data + " (level:" + level + ") ";
// notice the for loop
if( this.children != null)
for(Node child : this.children)
S += child.printTree(level + 1);
return S;
}

Binary Heap Implemented via a Binary Tree Structure

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);
}
}

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