From the following sequence of numbers construct a min heap by inserting one element at a time, in order, from the sequence into an initially empty min heap: 12, 7, 11, 42, 13, 2, 99, 8 Which choice below is a correct representation of this heap? 2 7 12 13 11 99 42

From the following sequence of numbers construct a min heap by inserting one element at a time, in order, from the sequence into an initially empty min heap: 12, 7, 11, 42, 13, 2, 99, 8 Which choice below is a correct representation of this heap? 2 7 12 13 11 99 42

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

See similar textbooks

Related questions

Q: Hillary claims that a postorder traversal of a heap will list its keys in nonincreasing order. Draw…

Q: A = ⟨4,33,6,90,33,32,31,91,90,89,50,33⟩ A is a min heap, convert it to max heap and extract TWO…

A: Here i have prepared written solution as follows:

Q: Binary Heaps (Priority Queues!). Enqueue (insert) the value 6 to the following binary heap, then do…

A: It acts like a queue in that items and remain some time before being dequeue. Basic operation in…

Q: Show the results of inserting the key set {12,1,3,7,4,5,15} in order into an initially empty binary…

A: Array Implementation of binary max-heap 1. Use an array to store the data. 2. Start storing from…

Q: A 4-ary max heap is like a binary max heap, but instead of 2 children, nodes have 4 children. A…

A: A “MAX_HEAPIFY(A,i)” function for a 4-ary max-heap that restores the heap property for ith node is…

Q: Build a max heap from a given list. Input Format: The first line will be n, the number of elements.…

A: code in c:- #include <stdio.h>// To heapify a subtree rooted with node i which is // an…

Q: Problem 1. Draw two arrays. For the first array, show the array representation of the heap in Figure…

Q: Construct a Binary Heap using the following sequence of numbers as input. It is up to you to decide…

A: ANSWER:-

Q: Draw the heap obtained by heapifying the array 10, 5, 12, 3, 2, 1, 8, 7, 9, 4 using the linear time…

A: Heap- A heap is a complete binary tree i.e. each node has at most 2 children. There are two types of…

Q: or: { 1, 2, 3, 6, 9, 5, 10, 14} (1) Give me the vector version of the binary heap that results when…

A: A Binary Heap is a Binary Tree having the attributes shown below.1) It's a fully grown tree (All…

Q: Using the codes of heaps, complete the following requiremen ts: 1) build a heap according to the…

A: The program is written in C++. Please find the source code and output in the following steps,

Q: Solve this attachment.

A: Yes , This is true statement. That, any binary heap with N distinct keys, the result of inserting a…

Q: Please help explain the loop invariant for the code above.

A: Introduction to Python Program It is defined as a simple, general purpose, high level, and…

Q: Construct a max heap using the BUILD-MAX-HEAP procedure from the input array H = {1, 3, 5, 7, 15,…

A: 1. What is the root node of the resulting max heap? 1 2. What is the left child of node 7?…

Q: A binary heap is called a max heap if it has the property that for every node i other than the root,…

A: In max heap of 7 elements, one must be root and this must be the max of given elements which is 7…

Q: 1. Assume we build a binary max-on-top heap from keys 10, 12, 1, 14, 6, 5, 8, 15, 3, 9, 7, 4, 11,…

A: Hello. Since you have posted multiple questions and not specified which question needs to be solved,…

Q: A priority queue can be implemented as a heap because O the root can be easily identified as the…

A: a priority queue can be implemented as a heap because ____.

Q: Suppose we want to use the Heapsort algorithm to sort a large list of numbers. Our first step is to…

Q: Please help explain the loop invariant for the code above. Why does this code work? Provide proof…

A: Here below i explain you why code invariant:…

Q: Assume that you are implementing a heap using a fixed size array. 1- Illustrate how the following…

A: The heap is a memory used by programming languages to store global variables. By default, all global…

Q: Consider a max heap, represented by the array: 40, 30, 20, 10, 15, 16, 17, 8, 4. Array Index 1 3. 4.…

A: Introduction given , Heap representated by the array : 40,30,20,10,15,16,17,8,4. We have asked…

Q: USING LANGUAGE C Implement a heap by inserting the following nodes in this order: 11, 5, 13, 3, 7,…

A: The code is given below.

Q: An input array B contains 2k -1 distinct elements (k is a positive integer). All elements in B are…

A: Given, Array B contains 2k-1 distinct elements where k is a positive integer. For k=2,…

Q: 1. Given a sequence of numbers = 9 18 16 14 17 6 16 10 3 3 20 5 17 5, if you are going to build heap…

A: Note:- As per our guidelines, we are allowed to answer only the first quest of multiple questions.…

Q: In case the heap data structure is represented by arrays, write the algorithm that removes v from…

A: Given that in case the heap data structure is represented by arrays, write the algorithm that…

Q: A heap is being stored in an array. A heap may be a minimum heap or a maximum heap. Which would you…

A: A Heap is a special Tree-based data structure in which the tree is a complete binary tree. Since a…

Q: Given the following array of numbers, draw max the heap which is constructed after adding all the…

A: Here is the max heap for the array above:

Q: Assume that you are implementing a heap using a fixed size array. 1- Illustrate how the following…

A: The heap is a memory used by programming languages to store global variables. By default, all global…

Q: Build a min heap with the following numbers. 4, 7, 1, 9, 23, 2, 13

Q: for the following sequence of keys, do the following: MBX, EXB, GBX,…, ABX, AXB,…, QXB, YXB, … .…

A: Created a max-heap of the given keys

Q: Minimum number of interchange needed to convert the array 89,19,40,14,17,12,10,2,5,7,11,6,9,70, into…

A: maximum element at root means the array has to be converted into a Max-Heap. In max-heap, the value…

Q: The heap presented in the text is also known as a max-heap, in whicheach node is greater than or…

A: Since programming language is not mentioned in the question, we will answer this question in the…

Q: If you are given a set of nodes (key/value pairs) to create a BST, could you create a BST such that…

A: Answer-B (No - a max heap can never be a BST and a max heap at the same time , and a BST can never…

Q: Show how HeapSort processes the input: 142, 543, 123, 65, 453, 879, 572, 434, 111, 242, 811, 102.…

Q: If a (binary) heap has height h = 6, determine the minimum number and maximum number of elements…

A: Answer we have given height of the heap is 6 minimum numbers of element(nodes) possible in a heap…

Q: Heap (C PROGRAM) Given a maxheap (keeps the largest value at the root), which has 4 functions…

A: Solution: Given, Functions are, push(h,v), v<-pop(h), new(h), and b<-isNotEmpty(h),…

Q: 1. Sort the following list by using heapsort: I, N, G, T, R, O, S (in alphabetical order). Represent…

A: The above given both questions are from data structure subject. Here the first question deals with…

Q: given the word: CONSEQ*U**ENCE a letter means insert and a asterick(*) means remove the minimum…

A: Given word is, CONSEQ*U**ENCE Each letter is inserted into a binary heap which is almost binary…

Q: 2.A heap has the following array representationc 60 50, 20, 30, 40 where 60 at index-0 and 40 is at…

A: Below is the correct answer to above question.....

Q: The following array is already a Heap. Illustrate how HeapSort works on this Heap. You only have to…

Q: Question Which of the following statements about priority queues are true? Unless otherwise…

A: Implement Iterable which requires a method Iterator iterator(). Iterator contains method…

Q: Modify maxHeap.java and heapApplication.java to build a minimum heap and test it. import…

A: minHeap.java: import java.util.*; public class minHeap { public int heapSize, capacity; public int[]…

Q: **In JAVA please** Construct a Binary HEAP for 5000 random ints numbers which are between 0 and…

A: The answer is given below.

Q: An input array B contains 2k-1 distinct elements (k is a positive integer). All elements in B are…

A: Heapsort’s running time is O(n lg n) Like insertion sort, but unlike merge sort, heapsort sorts in…

Q: Out of the following given options, which is the fastest algorithm? a) fibonacci heap b) pairing…

A: Explanation- Despite the pairing heap is an effective algorithm ,but it is worse than the Fibonacci…

Q: 4. On of the basic operations in heap is delete minimum which deletes the node found on the leftmost…

A: Given: Please respond to questions 4–7.

Q: Show the results of the following operations on an initially empty max heap: insert 2, 3, 4, 1, 9,…

A: INSERTIONS IN MAX HEAP: Firstly the node that is to be inserted is node 2 which becomes the root…

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

From the following sequence of numbers construct a min heap by inserting one
element at a time, in order, from the sequence into an initially empty min heap: 12, 7,
11, 42, 13, 2, 99, 8
6.
Which choice below is a correct representation of this heap?
2
8
7
12
13
11
99
42

Expert Solution

This question has been solved!

Explore an expertly crafted, step-by-step solution for a thorough understanding of key concepts.

SEE SOLUTION Check out a sample Q&A here

Step 1

Step 2

Step 3

Step 4

Step by step

Solved in 4 steps with 4 images

SEE SOLUTION Check out a sample Q&A here

Knowledge Booster

Learn more about

Need a deep-dive on the concept behind this application? Look no further. Learn more about this topic, computer-science and related others by exploring similar questions and additional content below.

Similar questions

What does the initially empty max-heap h contain after the following sequence of pseudo-code operations? Show at least 5 binary heaps as stated in Figure 1 to show the changes after a sequence of heap operations.
USING LANGUAGE C Implement a heap by inserting the following nodes in this order: 11, 5, 13, 3, 7, 6, 77, 1, 4, 222 ▪Print the heap after each insertion. ▪Dequeue each node and print each deleted node. ▪Your final output should be similar to the screen shot in the next slide
An input array B contains 2k-1 distinct elements (k is a positive integer). Allelements in B are arranged in ascending order. The constructHeap algorithm inHeapsort is applied to B to construct a maximizing heap. Analyze how many keycomparisons are performed in this heap construction. Your result must be in termsof k.
2. Show the results of the following operations on an initially empty max heap: a. insert 2, 3, 4, 1, 9, one item at a time; b. delete one item from the heap; c. insert the item 7 and then the item 6; d. delete one item from the heap e. insert the item 5. [7] 3. Show the array presentation of tree that resulted from Question 2.
Create a min heap by adding the following numbers: 100, 1, 10, 50, 2, 5Draw the heap after each insertion.
Question 16 Rk.Given a max-heap whose values correspond to the array indices from 1 through n,what is the smallest possible index for a node with height 1 in the heap? Full explain this question and text typing work only We should answer our question within 2 hours takes more time then we will reduce Rating Dont ignore this line
Show your work step by step please! Dont use others answers Will rate!! Using the final binary min heap on the picture, show the result of performing a dequeue( ) operation assuming a priority queue is implemented using a binary min heap. BOX IN YOUR FINAL BINARY MIN HEAP.
Show the heap tree after inserting each of the following keys in the same order given below. and also Trace Heap sort algorithm for the heap you obtained. 44, 66, 33, 88, 77, 55, 22
What exactly does the term heap mean? "It takes O(nlogn) time to perform a heap operation." - offer an appropriate illustration to explain the statement
please provid orignal answer 7. Binary Heaps (Priority Queues!). Enqueue (insert) the value 6 to the following binary heap, then do a Dequeue (deleteMin): Starting heap: 3 7 5 9 7 12 8 14 After enqueue (insert): After dequeue (deleteMin): draw it out
given the word: CONSEQ*U**ENCE a letter means insert and a asterick(*) means remove the minimum a) show the binary heap obtained from the above b) give the sequence of characters returned by the delete min operation c) use heapsort to make a max heap from the obtained result
A 4-ary max heap is like a binary max heap, but instead of 2 children, nodes have 4 children. A 4-ary heap can be represented by an array as shown in Figure (up to level 2). Write down MAX_HEAPIFY(A,i) function for a 4-ary max-heap that restores the heap property for ith node.