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Given the following array of numbers, draw max the heap which is constructed after adding all the numbers to the heap in order from right to left. [10, 90, 4, 24, 87, 1, 0, 99, 42, 58]

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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Concept explainers

Heap Sort

A Heap is a type of data structure that is built on trees. It's a binary tree that's virtually complete. Except for the very bottom level, all levels of the tree must be filled in a heap. The last (bottom) level should be filled from left to right. The heap data structure is used for the efficient implementation of priority queues.Heap can be of two types:

Question

Given the following array of numbers, draw max
the heap which is constructed after adding all the
numbers to the heap in order from right to left.
[10, 90, 4, 24, 87, 1, 0, 99, 42, 58]

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We are to apply Heap Sort on array: 40 63 8 19 5 60 52. What is the content of the array after Step 1 of Heap sort : build the initial heap? Question 25 options: 40, 60, 63, 19, 5, 8, 52 63, 40, 8, 19, 5, 60, 52 63, 40, 60, 19, 5, 8, 52 40, 63, 8, 19, 5, 60, 52
Heapsort uses a heap to sort different elements. The use of a heap makes this algorithm the most efficient in the worst case for sorting.
Question Give the sequence of the 13 keys in the array that results after inserting the sequence of 3 keys 75 31 40 into the following maximum-oriented binary heap of size 10: 93 82 77 16 59 20 69 11 13 41 Answer Your answer should be a sequence of 13 integers, separated by whitespace.
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.
Choose the array below which correctly represents the backing store for the following min heap. 55 26 25 57 62 (67 96 63 O [0,14,26,25,96,67,63,55,57,62] O [0,14,26,96,67,25,63,55,57,62] O [96,26,67,14,63,25,0,null,57,null,55,62]] O [0,14,55,26,25,57,62,96,67,63]
What are the time complexities of the following operations in a max_heap containing m data? 1. a. Build the heap b. Extract the maximum key c. Insert a new key to the heap d. Sort an array using heap_sort method
There is an algorithm for making the heap complete:1. Remove the node at the root.2. Move the node in the last position to the root.3. Trickle the last node down until it is below.When this algorithm is applied continually, the data is removed from theheap in sorted order. imlement the code for the Remove and TrickleDownmethods: