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Following is a class in which we implemented a priority queue using an array-bas

ID: 3828784 • Letter: F

Question

Following is a class in which we implemented a priority queue using an array-based heap.

Complete the heapOrderValid() and isCompleteTree() methods which verify that the data in store has the specified property.

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Do consider following

testHeapOrderEmpty

testHeapOrderSingle

testHeapOrderDoubleGood

testHeapOrderDoubleBad

testHeapOrderTripleGood

testHeapOrderTripleBad

testHeapOrderLargerGood

testHeapOrderLargerBad

testCompleteTreeEmpty

testCompleteTreeSingleGood

testCompleteTreeSingleBad

testCompleteTreeDoubleGood

testCompleteTreeDoubleBad

testCompleteTreeLargerGood

testCompleteTreeLargerBad

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package edu.buffalo.cse116;

import java.util.AbstractCollection;
import java.util.Arrays;
import java.util.Iterator;
import java.util.NoSuchElementException;

/**
* Implementation of a priority queue using an array-based binary tree. This is used to help students understand the
* basic properties binary trees and will have more details explained in future lectures.
*
* @author William J. Collins
* @author Matthew Hertz
* @param Data type (which must be Comparable) of the elements in this tree.
*/
public class PriorityQueue> extends AbstractCollection {
/** Index where the root node can be found. */
private static final int ROOT = 0;

/** Array used to store the elements in the binary tree. */
private E[] store;

/** Number of elements within the tree. */
private int size;

/**
* Initializes this ArrayBinaryTree object to be empty. This creates the array in which items will be stored.
*/
@SuppressWarnings("unchecked")
public PriorityQueue() {
store = (E[]) new Comparable[31];
size = 0;
}

/**
* Checks if the binary tree contains an element at the given index. This requires checking both that the array is
* large enough (to avoid triggering an exception) AND (when the array is large enough) that the array has a non-null
* value at that index.
*
* @param idx Index to be checked out.
* @return True if there is an element at the given index; false otherwise.
*/
private boolean nodeExists(int idx) {
boolean arrayLocationExists = idx < store.length;
return arrayLocationExists && (store[idx] != null);
}

/**
* Given an index, returns the element in that node's left child. If the left child node does not exist, null should
* be returned. It is important that this NOT trigger an index out of bounds exception.
*
* @param idx Index of the node for which we want the left child.
* @return Value of the node's left child or null if no left child exists.
*/
private E leftChild(int idx) {
int leftChild = (idx * 2) + 1;
if (!nodeExists(leftChild)) {
return null;
}
return store[leftChild];
}

/**
* Given an index, returns the element in that node's right child. If the right child node does not exist, null should
* be returned. It is important that this NOT trigger an index out of bounds exception.
*
* @param idx Index of the node for which we want the right child.
* @return Value of the node's right child or null if no right child exists.
*/
private E rightChild(int idx) {
int rightChild = (idx * 2) + 2;
if (!nodeExists(rightChild)) {
return null;
}
return store[rightChild];
}

/**
* Given an index, returns the value of that node's parent. If the node is the root (and so has no parent), null
* should be returned. It is important that this NOT trigger an index out of bounds exception.
*
* @param idx Index of the node for which we want the parent.
* @return Value of the node's parent or null if no parent exists.
*/
private E parent(int idx) {
int parent = (idx - 1) / 2;
if (idx == ROOT) {
return null;
}
return store[parent];
}

/**
* Returns the size of this ArrayBinaryTree object.
*
* @return the size of this ArrayBinaryTree object.
*/
@Override
public int size() {
return size;
}

/**
* Returns an iterator that will return the elements in this ArrayBinaryTree, but without any specific ordering.
*
* @return Iterator positioned at the smallest element in this ArrayBinaryTree object.
*/
@Override
public Iterator iterator() {
// Skipped for now.
throw new UnsupportedOperationException();
}

/**
* Adds the specified element to this heap in the appropriate position according to its key value.
*
* @param obj the element to be added to the heap
* @return Since this method will always succeed, it only returns true.
*/
@Override
public boolean add(E obj) {
// Make certain the store has space to add an element.
if (size == store.length) {
store = Arrays.copyOf(store, store.length * 2);
}
store[size] = obj;
size += 1;
// We will discuss what must happen here so that we guarantee the heap order property on Monday
return true;
}

/**
* Remove the element with the lowest value in this heap and returns a reference to it. Throws an
* NoSuchElementException if the heap is empty.
*
* @return the element with the lowest value in this heap
*/
public E remove() {
if (isEmpty()) {
throw new NoSuchElementException("Cannot call remove on an empty LinkedHeap");
}
E retVal = store[0];
store[0] = store[size - 1];
size -= 1;
// We will discuss what must happen here so that we guarantee the heap order property on Monday
return retVal;
}

/**
* Returns the element with the lowest value in this heap. Throws an NoSuchElementException if the heap is empty.
*
* @return the element with the lowest value in this heap
*/
public E element() {
if (isEmpty()) {
throw new NoSuchElementException("Cannot call remove on an empty LinkedHeap");
}
return store[0];
}

public boolean heapOrderValid() {
      
  
}

public boolean isCompleteTree() {

}
}

Explanation / Answer

Need Clarity for CompleteTree : We are just adding elements , It will be always be complete tree

For heapOrderValid I have done for Min heap, Please run and let me know , I am ready to change my code and provide solution if it doesnt work

public boolean heapOrderValid() {
  
   for (int i=0; i<=(store.length-2)/2; i++)
        {
            // If left child is greater, return false
            if (store[2*i +1].compareTo(store[i])<0)
                    return false;
  
            if (store[2*i +2].compareTo(store[i])<0)
                    return false;
        }
        return true;
    
return true;
}

public boolean isCompleteTree() { //Not sure, need your clarity on it ..So that I can change it
return true;

}

Thanks, run and let me know if there is any concern. I am there to help