9. Aa operater delete for a binary heap datastructure is to be designed to delete the itemin the i-h node. Assume that dhe heap isimplemented in an armay and i refers to thea inder of the amay. If the heap tree basdepth d (number of adges on the path from theroot to the farthest leaf), thea what is the timecomplexity to re-fx the heap efficiently aterthe removal of the clement?

RAs operater delete for a biary heap data sructure is to be designed to delte the item t is de i node Assume that the heap implenented in an amay and i refer o he a d A ppan depth d(umber of adges on the path fom the root the farthes leaf, then what is the time complexity to e-fx the heap efficiently ater the removal of the clement

RAs operater delete for a biary heap data sructure is to be designed to delte the item t is de i node Assume that the heap implenented in an amay and i refer o he a d A ppan depth d(umber of adges on the path fom the root the farthes leaf, then what is the time complexity to e-fx the heap efficiently ater the removal of the clement

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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1.Let us consider a priority queue of size 10 containing the data {“introspective”, “intelligent”, “intellectual”, “intimate”, “intensive”, “interesting”, “internal”, “into”, “in”, “intro”}. Attempt the following questions:a. Which attribute of the strings is used to determine their priority in the priority queue?b. What type of binary heap is used to implement this priority queue (max or min)?c. Show how this priority queue is affected if one item is dequeued.
Please draw the generation changes of a Minimal Heap Tree one by one according to the added and deleted data values and order, assuming that the initial state of the Minimal Heap Tree is Empty. Every action of adding, deleting, or exchanging needs to draw a complete Binary Tree Input: 26, 45, 87, 18, 66, 12, 84, 79, Delete Delete Input: 58, 16, 95 Delete Delete
Answer the following questions on binomial min-heap. Insert the values in set A into an initially empty binomial min-heap Show only the final tree. A: 13 62 98 43 16 24
.1. Draw the binary min-heap tree that results from inserting 65, 12, 73, 36, 30, 55, 24, 92 in that order into an initially empty binary min heap. BOX IN YOUR FINAL BINARY MIN HEAP. .2. Using the final binary min-heap above, 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.
Write down MAX_HEAPIFY(A,i) function for a 4-ary max-heap that restores the heap property for ith node.
Draw the structure of a binary heap (MinHeap): a. after these priorities have been inserted: 19, 34, 23, 16, 54, 89, 24, 29, 15, 61, 27.b. after two deleteMin operations (using the tree in (a)). *show the resulting tree if there are changes in the tree structure caused by the insertion or deletion.
Write algorithm Heapify(r ) pre-cond: The balanced binary tree rooted at A[r ] is such that its leftand right subtrees are heaps. post-cond: Its values are rearranged in place to make it completeheap.
The Heapify Problem: make algorithm for Heapify(r ) pre-cond: The balanced binary tree rooted at A[r ] is such that its left and right subtrees are heaps. post-cond: Its values are rearranged in place to make it complete heap.
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.
4. SHORT ANSWERS:i. Suppose tree T is a min heap of height 3. - What is the largest number of nodes that T can have? _____________________- What is the smallest number of nodes that T can have? ____________________ii. The worst case complexity of deleting any arbitrary node element from heap is ___________
Write down MIN_HEAPIFY(A,i) function for a 3-ary min-heap that restores the heap property for ith node.
ASAP!! Consider the following series of random numbers:80 35 50 18 36 29 25 17 67 23 12 19 5 3 2a. Create a Priority Queue using an array data structure, draw and explainarray at each stepb. Draw a d-heap, where ? = 4c. Explain steps of removing min i.e. deleteMin(), identify hole location(s), slide-down, bubble-up and last elementd. Explain steps of inserting 1