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Q3 Sorting vs Heaps
[Sedgewick 2.4.4 edited] Is an array that is sorted in decreasing order a "max" heap? Answer yes/no, and justify.
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- 2. Bottom-Up Min-Heapify: For the following numbers, what is the resulting (1-indexed) heap after "heapifying" the input numbers (assume the input is an array/vector). Input: 9, 5, 2, 1, 4, 3, 6Q1. Bottom-Up Min-Heapify For the following numbers, what is the resulting (1-indexed) heap after "min-heapifying" the input numbers (assume the input is an array/vector) in the bottom-up, O(n), manner. Input 5,2,6,9,3,4,7 (5 is the root at start).java program: University of Bahrain College of Information Technology Department of Computer Science Second Semester, 2020-2021 ITCS214 / ITCS215 / ITCS216 (Data Structures) Assignment 3 Implement generic class ArrayStack as discussed in the lectures having following methods: constructor, push, pop, peek, isEmpty, copy constructor, reallocate (private method). Also add following methods to this class: size: returns number of elements in the stack. contains: Search an element in the stack. If found returns true, else returns false. clear: Deletes all elements of the stack and make it empty stack. Implement generic class ArrayQueue as discussed in the lectures having following methods: constructor, copy constructor, offer, poll, peek, isEmpty, reallocate(private), iterator. Inner class Iter that implements interface Iterator having methods: constructor, hasNext, next. Also add following methods to the ArrayQueue class: size: returns number of elements in the queue. contains: Search…
- JAVA CODE Learning Objectives: Detailed understanding of the linked list and its implementation. Practice with inorder sorting. Practice with use of Java exceptions. Practice use of generics. You have been provided with java code for SomeList<T> class. This code is for a general linked list implementation where the elements are not ordered. For this assignment you will modify the code provided to create a SortedList<T> class that will maintain elements in a linked list in ascending order and allow the removal of objects from both the front and back. You will be required to add methods for inserting an object in order (InsertInorder) and removing an object from the front or back. You will write a test program, ListTest, that inserts 25 random integers, between 0 and 100, into the linked list resulting in an in-order list. Your code to remove an object must include the exception NoSuchElementException. Demonstrate your code by displaying the ordered linked list and…void build (int[] elts, int N); // The "magic" build operation which constructs a heap in O(N) time// the first parameter is an array that contains all the elements that// will go into the heap; the second parameter tells how many elements// there are (so that the array "elts" can be larger than the number// of elements in it... we do not depend on elts.length to determine// the size of heap we build.//// The method works as follows: // first: the heap that is doing the build will do a clear() // and it will lose any elements already in that heap// second: load the elements in parameter "elts" into the heap// array directly ( a O(N) copying action )// third: perform the "bubble down" operations that a build// requires on the heap array// // When testing look to find a sequence of elements that let you // get two different heap structure when you // 1) create a heap from N separate inserts// 2) do this build method//// Here is one such sequence: 101, 37, 26, 19, 15, 12, 9, 2, 3, 5////…void build (int[] elts, int N); // The "magic" build operation which constructs a heap in O(N) time// the first parameter is an array that contains all the elements that// will go into the heap; the second parameter tells how many elements// there are (so that the array "elts" can be larger than the number// of elements in it... we do not depend on elts.length to determine// the size of heap we build.//// The method works as follows: // first: the heap that is doing the build will do a clear() // and it will lose any elements already in that heap// second: load the elements in parameter "elts" into the heap// array directly ( a O(N) copying action )// third: perform the "bubble down" operations that a build// requires on the heap array// // When testing look to find a sequence of elements that let you // get two different heap structure when you // 1) create a heap from N separate inserts// 2) do this build method//// Here is one such sequence: 101, 37, 26, 19, 15, 12, 9, 2, 3, 5////…
- 2- Implement a class template MinHeap that has the following declaration using c++ class MinHeap{ Node* heap; //an array of nodes int _size; //size of arraypublic: Node extractMin(); //returns & removes the node with minimum cost void buildMinHeap(Node[],int);// allocates array then builds a min-heap from an array of struct Node with the given size void minHeapify(int i, int n);//restores the min-heap property for the “heap” array using the given index and size n void decreaseKey(char label,int newCost);//decreases the node that has the given label to newCost int parent(int i);//returns the index of the parent of i int getSize();//returns size of the heap bool inHeap(char);//checks if the node with the given label is in the heap};1.) B = {35, 29, 7, 13,9,15,20} heap size = 7 Do heapify (B,2). Write the values in the array B starting from index 0 to 6?Java Implement Stack using Deque (doubly linked list) You must create an array and the user can insert elements into this array and can only access or remove the newly inserted element from the array. The array is executed using a doubly linked list. The following Project should have these classes: 1. Class Book: The main Node for the deque array where it should have the following attributes besides (next, prev nodes): a) Book Id b) Book Name c) Book Author 2. Class Booklists: Where all the main operations are done. You need to apply these following operations: 1) AddBook() [push(0) : The method Inserts the book object into deque Stack (form the last). 2) RemoveBook() [pop()] : This method extracts an object from the last of the Deque stack and it removes it. If such object does not exist, the method returns null.(from the last) 3) isEmpty() : Return True if deque stack is Empty else return False. 4) DisplayAlIBooks() : Print all the books in the deque stack. 5) getlistsize(): Return…
- Please don't copy the solution. Assignment: For this week’s assignment, you’re going to be creating a Heap Sorter. It should be able to take input (using CIN), place it into proper Max Heap form in an array, and once it’s done accepting input, put the array in order using a Heap Sort. For the sake of simplicity, our heap trees will be made of an array that’s only seven elements long. Make sure to define your arrays ahead of time with garbage filler data before you start putting in your CIN data. Remember to use the binary heap traversal trick when dealing with your array-based tree. Please sort the following lists of inputs: 1.) 12, 40, 2, 6, 88, 90, 5 2.) 1, 2, 3, 4, 5, 6, 7 3.) 7, 6, 5, 4, 3, 2, 1 4.) 42, 64, 355, 113, 101, 13, 35 5.) 12, -5, 24, -4, 48, -3, 96Assume the following list: 30, 45, 1, 26, 90, 5, 85, 35, 20, 41, 38, 72, 11, 33, 49 Using the function buildHeap as given in this chapter, convert the list into a heap. Show the resulting list after three passes of heapsort. (Use the heapify procedure as given in this chapter.) One pass:________________________________________________ Two passes:_______________________________________________ Three passes:______________________________________________ //---------buildHeap function-------------------- template <class elemType> void arrayListType<elemType>::buildHeap() { for (int index = length / 2 - 1; index >= 0; index--) heapify(index, length - 1); }//end buildheap //-----------heapify function------------------ template<class elemType> void arrayListType<elemType>::heapify(int low, int high) { int largeIndex; elemType temp = list[low]; //copy the root node of the subtree largeIndex = 2 * low + 1; //index of the left child while (largeIndex <= high)…Question #7. SORTED LIST NOT UNSORTED C++ The specifications for the Sorted List ADT state that the item to be deleted is in the list. • Rewrite the specification for Deleteltem so that the list is unchanged if the item to be deleted is not in the list. • Implement Deleteltem as specified in (a) using an array-based. Implement Deleteltem as specified in (a) using a linked implementation. • Rewrite the specification for Deleteltem so that all copies of the item to be deleted are removed if they exist. • Implement Deleteltem as specified in (d) using an array-based. • Implement Deleteltem as specified in (d) using a linked implementation.