**Heap Sort Exercise Explanation**Suppose you have started with a list of numbers and have built the following max-heap: 7, 5, 3, 4, 2, 1. You want to sort it with in-place Heapsort using repeated `remove_max` operations as studied in class.**Question**: What is the first pair of numbers that would be swapped?- **Smaller**: 1 - **Larger**: 7 ✔️**Question**: What is the second pair of numbers that would be swapped?- **Smaller**: 4 ❌- **Larger**: 5 ✔️This exercise helps in understanding the swapping process in the Heapsort algorithm, where elements are repeatedly removed from the max-heap and reordered. The checkmark (✔️) indicates the correct identification of the numbers during each swap operation.

To Do: To find the first and second swaps.

Answered: Suppose you have started with a list of…

Database System Concepts

7th Edition

ISBN:9780078022159

Author:Abraham Silberschatz Professor, Henry F. Korth, S. Sudarshan

Publisher:Abraham Silberschatz Professor, Henry F. Korth, S. Sudarshan

Chapter1: Introduction

Section: Chapter Questions

Problem 1PE

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Must attach output screenshot, editable output In java Implement a generic min heap class and write a test code to test the program. Use hashmap for the update method. You can also use it for the getIndex method. public int getIndex(AnyType x) {//average case O(1) //returns the index of the item in the heap//or -1 if it isn't in the heap //return -1; }public boolean update(AnyType x) {//O(lg n) average case//or O(lg n) worst case if getIndex() is guarenteed O(1) We want an update() operation which increases (or decreases) the priority of the item. The item (or an equal item) will be provided and it should update the priority queue appropriately. The only way to do this efficiently is to use a map to map heap items to indexes so that you know where to start the update (in average case O(1) time). Without this, update() would be O(n) and not O(lg n). Therefore before you implement updating, you need to integrate a map into the code. Whenever an item is placed, moved, or removed…
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Consider implementing heaps by using arrays, which one of the following array represents a heap? O a. [30,26,12,23,10,8] O b. [8,12,13,14,11,16] O. [30,26,12,13,10,18] O d. [18,12,13,10,11,16] Which of the following is wrong, after each iteration of quick sorting? a. None of the other answers O b. Elements in one specific (e.g. left) portion are smaller than the selected pivot. C. Elements in one specific (e.g. right) portion are larger than the selected pivot. O d. The selected pivot is already in the right position in the final sorting order.
Execute program maxHeap.java and heapApplication.java(Attached Screenshot): Insert the nodes listed in 95 77 43 66 64 25 44 11 10 47 to the heap. Show screenshot. Display the heap array and compare it with the array in 95 77 43 66 64 25 44 11 10 47 . What do you find out? Max Heap import java.util.*; public class maxHeap{ public int heapSize, capacity; public int[] Arr; public maxHeap(int cap) { heapSize = 0; capacity = cap; Arr = new int[cap]; } public void heapify(int parent) { int Lson, Rson, largest, temp; Lson = 2 * parent + 1; Rson = 2 * parent + 2; /* find the largest among A[parent], A[lson] and A[rson] */ if ( Lson <= heapSize - 1 && Arr[Lson] > Arr[parent] ) { largest = Lson; } else { largest = parent; } if (Rson <= heapSize - 1 && Arr[Rson] >…
The HeapSort algorithm has been improved. Describe and explain several methods for enhancing the performance of the HeapSort algorithm described in the lecture series. Explain why you believe speed might be improved.
To get the alphabet in order, heap sort the list L = D, B, G, E, A, H, C, and F. Pseudocode all the stages, please?
This is Java programming! The current code for BstMaxHeap is printing names backwords. So please modify the code BstMaxHeap.java so it prints as the following: The heap is not empty; it contains 9 entries. The largest entry is Whitney Removing entries in descending order: Removing Whitney Removing Regis Removing Megan Removing Matt Removing Jim Removing Jared Removing Doug Removing Brittany Removing Brett

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