Question: Consider the approaches to dealing with equal keys in a Binary Search Tree, described in CLRS, 12-1:b,c, pages 303-304. What is the worst-case asymptotic time

Consider the approaches to dealing with equal keys in a Binary Search Tree, described in CLRS, 12-1:b,c, pages 303-304. What is the worst-case asymptotic time (with respect to n) needed to insert n copies each (in turn) of the numbers 1 through n. For example, if n = 10, then there we will be inserting ten 1's followed by ten 2's followed by ten 3's, ... ten 10's.

CLRS 12-1

b.Keep a boolean flag x:b at node x, and set x to either x:left or x:right based on the value of x:b, which alternates between FALSE and TRUE each time we visit x while inserting a node with the same key as x.

c.Keep a list of nodes with equal keys at x, and insert into the list.

Step by Step Solution

There are 3 Steps involved in it

1 Expert Approved Answer

Step: 1 Unlock blur-text-image

Question Has Been Solved by an Expert!

Get step-by-step solutions from verified subject matter experts

Step: 2 Unlock

Step: 3 Unlock

Students Have Also Explored These Related Databases Questions!

CANMNMM January of this year. (a) Each item will be held in a record. Describe all the data structures that must refer to these records to implement the required functionality. Describe all the...

A creative engineer suggests structuring the TLB so that not all the bits of the presented address need match to result in a hit. Suggest how this might be achieved, and what might be the costs and...

Let i and j be positive integers. (i) Prove that there exist natural numbers a and b such that ai = bj+gcd(i, j). You may use standard results provided that you state them clearly. [4 marks] (ii) Let...

In this question you will be asked to reflect on a project you have been involved in or observed, in which a design evolved, or could have evolved, through applying a theory of user behaviour. You...

Consider the trigonometric series a0 2 + X r=1 (ar cos rx + br sin rx) where a0, a1, a2, . . . and b1, b2, . . . are constants and suppose that f(x) is a periodic function of x with period 2. (a)...

In a Hopfield neural network configured as an associative memory, with all of its weights trained and fixed, what three possible behaviours may occur over time in configuration space as the net...

(iii) Now express your decision rule instead using only the quantities p(Ck), p(Cj ), p(x|Ck), p(x|Cj ), and relate it to the diagram above. [2 marks] (iv) If the classifier decision rule assigns...

Assume that you have an algorithm that can fill 3D triangles with a constant colour. Explain what additional information and additions to the algorithm are required to Gouraud shade the triangles....

Describe, in detail, how the heapsort algorithm works. [10 marks] Show that the worst-case cost of heapsort is O(n log n). [6 marks] Would it be possible to implement a variant of heapsort based on a...

Lesson 12 Quiz (Show/Explain all Work) IST 230 Relations on Sets, Databases 1. Let A = {0, 1, 2, 3, 4, 5, 6, 7, 8} and B = {1, 2, 3, 4, 5, 6, 7, 8}. Now let R be a binary relation R from A to B such...

Find the value of the expression. 8(5-4) +8 5 11) 8(5-4) Simplify. A) /3 12) 8+ (-1) + 3(-3) A) 16 13) 1-(-7)(-2)2 A) 29 B) 13 36 B) 18 B) -27 C) 6 C) 0 C) 225 D) 13 D) -2 D) 32

Consider a host A behind NAT, sending a packet to another external host B. The packets (sent by A and response packet from B) are shown below: Packet sent by A (before modified by NAT): dst IP:...

a . accounts receivable relate to sales of merchandise, b . during 2 0 2 4 , equipment costing 4 0 , 0 0 0 was sold for cash, c . During 2 0 2 4 , bonds payable with a face value of 2 0 , 0 0 0 were...

8:37 * N. 80% i ... OBJECTIVES: Create relationships Create a Pivot Table from Related Tables Create a PivotChart Modify the PivotChart The major section in this chapter :ontinuation is: Data...

In Exhibit 3-12, Cluster 1 of the group insurance highlighted claims have a long period from death to payment dates. Why would that cluster be of interest to internal auditors?

Explain how XBRL might be used by lenders to focus on specific areas of interest.

Identify a reason the sales amount of any single product may or may not follow Benfords law.