The largest item in a heap must appear in position 1, and the second largest must be in position 2 or position 3. Give the list of positions in a heap of size 31 where the kth largest (i) can appear, and (ii) cannot appear, for k=2, 3, 4 (assuming the values to be distinct).

Q: removeMax: Remove and return the element whose key has maximum value from the binary heap. In class,…

A: Rapidly, or in fast progress, as in The corn is growing by leaps and bounds, or School enrollment is…

Q: Let H1 and H2 be two (binary) max-heaps with n1 and n2 elements respectively. If every element in H1…

A: Answer: To merge two binary max-heaps H1 and H2 with n1 and n2 elements respectively, such that…

Q: Describe how heapsort works first. Then, show how heapsort processes the input 2-

A: Note: There are multiple questions given in one question. According to the rule, you will get the…

Q: In Heapsort, we assume that arrays are indexed from 1 to n. For example, if A =…

A:

Q: Apply your HeapMax class to solve the following problem: In a research project your teammate who is…

A: import java.util.*; class Main{     public static void main(String[] args) {         int…

Q: Given a max-heap whose values correspond to the array indices from 1 through n, what is the smallest…

A: Max-heap is the data structure that is used to store the data elements in it. Basically it is a…

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: You are given a Heap A[1, ..., n]. Describe an algorithm to delete an element at index 'k' (1 <= k…

A: Deletion of Element from any intermediary position is costly.so, it is suggested to replace the…

Q: insert the following list of numbers, in the order given, into an empty minimum heap, show the heap…

A: Minimum Heap is shown in step 2.

Q: Suppose that H is a min-heap, and we have a pointer (index of the array representation) to an…

A: In thе contеxt of a binary hеap, a hеap propеrty is maintained such that for еvеry nodе i othеr than…

Q: are these true or false   heaps can be constructed from n un ordered keys in O(n) time.   huffmans…

A: - We need to highlight the validity of the provided statements.

Q: To create a heap of n elements, we need to call heapify function

A: Question is "To create a heap of n elements, we need to call heapify function how many times?"

Q: Show that the problem of finding the kth smallest element in a heap takes at least Ω(k) time in the…

A: We have to explain that problem of finding the kth smallest element in a heap takes at least Ω(k)…

Q: In the best case, the time complexity of heap sort is O (n)

A: Sorting is a process of following an Algorithm to arrange all the values in either Ascending order…

Q: A heap's biggest object must be in position 1, while the next-largest item must be in either…

A: We must comprehend the characteristics of a stack in order to respond to this query. A complete…

Q: Outpost must so possible.

A: In this code, the k_closest function takes a list of points, k (the number of closest points to…

Q: 1. (a) Implement the sweeping algorithm to decide inter- section in a set of segments following the…

A: It is defined as an algorithmic paradigm that uses a conceptual sweep line or sweep surface to solve…

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: