Please help me formulate a tree-based method restoreHeap() that will traverse through the tree-based heap restoring the heap condition through the entire heap.

Below is my code to toss a random node onto the heap.

Please java experts are needed, Ive been at this for hours. Only implementations I can find are array based unfortunately.

public boolean toss(Element value) { //if the root is empty if (root == null) { //create a new node and call it root root = new Node(value); } else { //otherwise //create a node called new Node Node newNode = new Node(value); //create a node, this being the next open parent Node aParent = openParent(); //the new node parent is the open parent newNode.parent = aParent; //if the parents left child is open if (aParent.leftChild == null) { //designate the left child and insert the new node there aParent.leftChild = newNode; } else { //otherwise //insert the new node as the right child aParent.rightChild = newNode; }//end second else }//end first else return true; }//end toss()

By "heap condition" I mean once "restoreHeap" is called manually in the app after manually tossing a few nodes onto the heap its going to satisfy these conditions

The Heap Condition: States that every node's key is larger than(or equal to) the keys of its children.

Therefore, this restore heap algorithm needs to traverse through the tree in ascending order, and restore every node that I tossed in to their proper place.

Please ask if I am unclear and I have been unable to receive much help on this.

As you can see currently In "toss" "restoreHeap" is called to ensure the node meets the heap condition.

However, this is not the correct application I wish to use.

I must toss "n" number of nodes. Then after I am done tossing. Restore the heap.

Therefore modifications are needed in the restoreHeap method to traverse through the tossed items and put them in their proper place.

import java.util.*;/** * The purpose of this program is to formulate a tree-based heap instead of the * typical array based heap. The toss method may be utilized to add nodes * containing integers to the tree-based heap. Nodes may be continuously tossed * onto the heap one by one. Once it is time to restore the heap to proper heap * specifications, the method heapRestore is then called. * * */////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////public class treeHeap<Element extends Comparable<Element>> { Node root; /** * This method will create an empty tree Heap for nodes to be inserted on */ public treeHeap() { root = null; } /** * The purpose of this method is to create a tree heap with a specific node, * setting the node as the root value */ public treeHeap(Element data) { root = new Node(data); }//////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////// /** * This class serves as container for an element in the tree heap */ private class Node { Element data; Node parent; Node leftChild; Node rightChild; /** * This is the constructor for the node class it will set the parent, * left and right child to null */ Node(Element value) { this.data = value; parent = null; leftChild = null; rightChild = null; }// end Constructor /** * This method will compare node objects to help determine if they are in the * correct order. This is utilized in the heapRestore method */ int compareThem(Node node) { return (data.compareTo(node.data)); }// end compareTo() }// end class Node//////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////// /** * This method works hand-and-hand with the toss method. Before an item can * be tossed onto the tree heap an open parent for the tossed node must be * located to attach itself too. */ private Node openParent() { //This will create a Queue object that holds the data of type Node Queue<Node> queue = new LinkedList<Node>(); //This will add the object to the Queue with the name 'root' queue.add(root); //This declares a variable named 'temp' Node temp; //Loop while the next item in the queue is not null while (queue.peek() != null) { /* * Verify that the Node's leftChild and rightChild from the * instance of Node that is next in the Queue are not null */ if (queue.peek().leftChild != null && queue.peek().rightChild != null) { //Remove the object from the front of the queue //and reference temp to it temp = queue.remove(); //Adds temps field 'leftChild' to the Queue queue.add(temp.leftChild); //Adds temps field 'rightChild' to the Queue queue.add(temp.rightChild); } else //The children of the Node are null, return the Node itself return queue.peek(); } return null; } /** * Toss is going to add a new node to the tree heap utilizing the openParent * method. Once an open parent is located the new node is inserted. */ public boolean toss(Element value) { //if the root is empty if (root == null) { //create a new node and call it root root = new Node(value); } else { //otherwise //create a node called new Node Node newNode = new Node(value); //create a node, this being the next open parent Node aParent = openParent(); //the new node parent is the open parent newNode.parent = aParent; //if the parents left child is open if (aParent.leftChild == null) { //designate the left child and insert the new node there aParent.leftChild = newNode; } else { //otherwise //insert the new node as the right child aParent.rightChild = newNode; }//end second else restoreHeap(newNode); }//end first else return true; }//end toss() /** * This method is utilized to swap values within the tree heap when called * by the restoreHeap method. It helps maintain the correct structure of a * heap after items are randomly tossed in. */ void swapNodes(Node one, Node two) { Element temp = one.data; one.data = two.data; two.data = temp; }// end swapNodes() /** * When a new node is added to the heap it must then be directed to its * correct location following the properties of heaps. restoreHeap is * utilized in the toss method after a node is randomly attached to the * first open parent. restoreHeap will find the tossed nodes final and * correct location on the tree heap. */ private void restoreHeap(Node node) { //if the node being compared is is not //the root and the node being compared is greater then its parent if (node != root && node.compareThem(node.parent) > 0) { //swap the node with its parent swapNodes(node, node.parent); //and restore the heap to heap specifications restoreHeap(node.parent); }// end if clause }// end restoreHeap()}////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////

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