You are given 262 items that need to be inserted into a binary heap. a)  What is the height of the tree that represents the heap when all the items have been inserted? b)  How many additional items can be inserted without increasing the height of the tree that represents the heap?

Q: Within one paragraph or less please explain the following Consider the specific operation of adding…

A: The very first insertion creates the tree. Afterwards, whenever an element is to be inserted, first…

Q: Given any max binary heap with k distinct items, will you end up with the same heap after you insert…

A: You can remove the smallest or largest object from the min-heap or the max-heap, respectively. All…

Q: 2. Given an array A shown in the following table, which is used to represent a complete binary tree…

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Q: tis the depth of a binary heap with 100 nodes (assume the root is on depth O)?

A: depth or height = ceil(log2(N + 1)) - 1

Q: a) Which array out of A, B and C represents a 0 1 2 10 11 binary heap? Only one answer is right. 1…

A: a. The array B represents the binary heap. The array B can be represented using a binary heap. Array…

Q: Heapsort   We will call heapsort on the array of size 11 with values  0, 2, 7, 6, 8, 3, 1, 4, 7,…

A: Heapsort is a sorting algorithm that is based on the heap data structure. The idea behind heapsort…

Q: Traverse the Binary Tree below by the    In-order Traversal and    Pre-order traversal  and…

A: Traverse the Binary Tree below by the  In-order Traversal and    Pre-order traversal  and display…

Q: 2. Simplify the following Boolean algebraic expressions and draw a block diagram of the circuit for…

A: Hello Student, hope you are doing well, I will be trying my best to explain and fulfill your query.…

Q: You are given 262 items that need to be inserted into a binary heap. a) What is the height of the…

A: given n=262   Code for finding height of binary tree: #include <bits/stdc++.h> using namespace…

Q: for the following sequence of keys, do the following: MBX, EXB, GBX., ABX, AXB.. QXB, YXB, ... 1.…

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Q: For starting array 25 22 24 28 26 29 21 23 27, tell, for each element: what is the FIRST other…

A: A heap is a specialized data structure that is a complete binary tree (a tree structure in which…

Q: Create a min-heap from a binary search tree. Use the following binary search tree to demonstrate the…

A: To create a min-heap from a binary search tree, we can follow these steps:   Traverse the binary…

Q: You have been given an array of integers that have just been sorted using the QuickSort algorithm.…

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Q: 5. Answer the following questions about heaps: a. Give at least 3 differences between a Binary…

A: As per guidelines I can answer only first three sub parts. I hope you will understand. ThankYou. a)…

Q: 8. Given a sequence of numbers: 19, 6, 8, 11, 4, 5 (I) Draw a binary min-heap (in a tree form) by…

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Q: Discuss the differences between a Binary Tree and a Heap. Include in your discussion the efficiency…

A: The key principles of the heap and Binary Search Tree (BST) data types would be addressed in this…

Q: 8. When the key is a string, it must be converted to an integer. One of these string conversions is…

A: 8. True, parseInt is the method used to convert. class StrConvert{ public static void main(String…

Q: 4. Starting with an empty binary heap, insert the following sequence of elements into it: 10, 5, 2,…

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Q: (2.2) Consider the sequential representation of binary trees. Construct the binary tree represented…

A: - We are provided with the sequential representation of the binary trees.  - We have to get the…

Q: Use heapsort to put the numbers 8, 2, 6, 1, 5, 9, 7 in decreasing order. You may use either the…

A: Initially the tree is made . Since descending order is asked, make max heap and solve further.

Q: 1. a  Is this a min-heap or a max-heap? b. What is the value of the root node? c. What is the left…

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Q: There is an algorithm for making the heap complete: 1. Remove the node at the root. 2. Move the node…

A: Heap sort mechanism which refers to the one it is a comparison-based sorting technique based on…

Q: Given set of data 56, 23, 21, 15, 9, 87, 45, 77, 59, 90, 83, 75, 20, 5, and 92. a. Create a…

A: (a).

Q: Mark all statements that are true. The selection sort and heap sort have the same worst-case time…

A: The correct answers are given below with explanation of each option

Q: What is the difference between a min heap search and a binary tree search? Is it feasible to…

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Q: Consider the array 4, 3, 7, 1, 8, 5. a. Construct an almost complete binary tree. b. Convert it into…

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Q: 4. Assume X = {3,4,6,9,8,7,16,15,20,19} is an array representation of a binary heap, such that each…

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Q: 5. Answer the following questions about heaps: a. Give at least 3 differences between a Binary…

A: Answer has been explained below:-

Q: 1.For a full binary tree, the number of leaf-nodes is more than non-leaf nodes. True False…

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

Q: 2. Implementation of the operations for Min Heap is already given, create a program for the…

A: In this question we have to write a code for max heap operations  As programming language is not…

Q: I. TRUE OR FALSE. Write the word TRUE if the statement is true or FALSE if the statement is false.…

A: Given: To declare statements True or False.

Q: Let us consider a priority queue of size 10 containing the data {“introspective”, “intelligent”,…

A: Note: As per our guidelines we can able to solve one 1 question at a time. So please repost the…

Q: There is an algorithm for making the heap complete: 1. Remove the node at the root. 2. Move the node…

A: The data is continuously deleted from the heap in sorted order when this approach is used. The code…

Q: 3. Draw the binary heap in its tree form from its array form: 0 1 2 3 4 5 6 7 9 10 11 12 8 2 3 4 9|…

A: Below is the answer to above query. I hope this will be helpful.

Q: Given the following keys T, Y, V, Q, F, B, M. N, W, G, C, A, P, R, L. 1. Assuming the keys are…

A: Note: As you have not specified any programming language, source code is written using java…

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A: What is Tree Traversal? In computer science, the activity of visiting (e.g., accessing, updating,…

Q: Insert key 63 into the following Max-heap, then delete key 70. Use your final result to answer the…

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Q: Splaysort is similar to heapsort and described in (VI.13 (p. 22). It is reportedly quite efficient…

A: Heapsort is a comparison-based sorting technique based on the Binary Heap data structure. It is…

Q: 1. Insert the following elements in the given order to an empty binary (d = 2) max-heap. Draw out…

A: Insertion into a Max Heap The general procedures to add elements to a binary max heap are as…

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: