CS2 Final Study Guide


 Jessica Carson
 1 years ago
 Views:
Transcription
1 CS2 Final Study Guide  Know how to write an assignment operator, copy constructor and destructor for a simple class that has dynamically allocated memory. Trees 1. Define the following terms o binary search tree o leaf of a tree o degree of a tree node o degree of a tree o path in a tree o length of a path in a tree o descendents of a node in a tree o ancestors of a node in a tree o depth of a node in a tree o height of a node in a tree o height of a tree 2. Draw the expression tree for the expression a*(b+c)(d+(ef)*g) 3. For the tree 1. What is the height of node A? 2. What is the height of the tree? 3. What is the depth of node E? 4. What is the parent of node F? 5. Name the descendent(s) of node B. 6. Name the leaves in the tree. 4. Write a C++ function TreeNode* copy_tree(treenode* T) that returns a copy of binary tree T
2 5. Write a C++ function TreeNode* expand_leaf(treenode* node, ItemType x, ItemType y) that returns a new binary tree that is identical to the binary tree T except that every leaf in T now has a left child and a right child whose values are equal to x and y, respectively. For example, invoking expand_leaf(t, 9, 12) on the tree on the left produces the tree on the right. 6. Write a C++ function int height(treenode* T) that returns the height of the binary tree T. 7. Write a C++ function bool same_tree(treenode* T1, TreeNode* T2) that returns true if binary trees T1 and T2 are exactly the same (same values, same structure), and returns false otherwise. You may assume that values of tree_item_type can be compared by means of the == operator. 8. Write a C++ function TreeNode* bst_insert(itemtype item, TreeNode* T) that inserts item into the binary search tree T. After the insertion, T must remain a binary search tree. You may assume that tree_item_type values are comparable using the ==, <, and > C operators. Draw the binary search tree resulting from sequentially calling bst_insert on an initially empty binary tree with the values 9,12,5,15,7,10,18.
3 Tree Traversal 1. For the tree Write the node labels in preorder order 2. Write the node labels in inorder order 3. Write the node labels in postorder order 1. Write C++ code, using the ADT operations for binary tree, to construct this binary tree of char 2. Write a function void Foo(TreeNode* T) that takes a binary tree, T, of char and performs some function (your choice) on the tree. Briefly describe what the function does in your own words.
4 Search Functions for DFS and BFS of binary trees from the notes will be given to you in the exam, if needed. 1. Let tree T be this tree 1. Draw the subtree returned by depth_first_search(t, 'B'); 2. Draw the subtree returned by bfs_queue(t, 'B'); 2. Given an array containing the sequence 1,5,29,45,67,76,92,104,187,234 (in that order) 1. state each comparison made in finding the number 234 using linear search. (For example, 234:1 is a comparison of 234 with 1.) 2. state each comparison made in determining that the number 48 is not present using linear search. 3. Given an array containing the sequence 1, 5,29,45,67,76,92,104,187,234 (in that order) 1. state each comparison made in finding the number 234 using binary search. (For example, 234:1 is a comparison of 234 with 1.) 2. state each comparison made in determining that the number 48 is not present using binary search. 4. Given the following sequence of integers (for example, integers received from the keyboard) 29,234,1,45,92,76,67,187,104,5 (in that order)
5 1. draw the binary search tree that would result from inserting the integers in the order given. 2. state each comparison made in finding the number 234 in the tree (For example, 234:1 is a comparison of 234 with 1.) 3. state each comparison made in determining that the number 48 is not present in the tree. 4. write the integers as they would be encountered in an inorder traversal of the tree. 5. Linear search can be done on data in an array or in a list. Name an advantage and a disadvantage of the list implementation over the array implementation. 6. Binary search can be done on data in a sorted array or in a binary search tree. Name an advantage and a disadvantage of the array implementation over the BST implementation. Sorting 1. How many permutations of N distinct items are there? 2. Explain: selection sort is an algorithm on average. 3. Explain: quicksort is an algorithm on average, but is an algorithm worst case. 4. Given an array containing the integers (in that order), 1. Show the array as it is sorted by the function selectionsort. 2. Show the array as it is sorted by the function mergesort 3. Show the array as it is sorted by the function insertionsort 4. Show the array as it is sorted by the function bubblesort 5. Write a templated version of both bubble and selection sort. 1. As the numbers of elements to be sorted increases how do the two sorts compare to one another?
6 Asymptotic Analysis 1. Fill in the following in increasing order from the set 2. Linear search can be done on data in an array or in a list. What is the average time complexity for successful search using an array? Using a list? Name an advantage of the list implementation. Name an advantage of the array implementation. 3. Binary search can be done on data in a sorted array or in a binary search tree. What is the average time complexity for successful search using the array? Using the BST? What is the worst case time complexity for each? Name an advantage of the BST implementation. Name an advantage of the sorted array implementation. Graphs 1. Is every graph a binary tree? If so why, it not, why not? 2. Draw the adjacency matrix for the following graph. Draw the adjacency list for the graph. When is one representation better than the other? How do you represent an undirected graph in an adjacency matrix?
7 3. Starting at Start Room label nodes in the order visited via a depth first search 4. Starting at Start Room label nodes (1,2,3,4,..) in the order visited via breadth first search. Heaps 1. Be able to identify a heap. 2. Show a maxheap after inserting each of the following numbers: 13,9,4,5,2,8,3,0,12 3. Remove the two biggest numbers, showing the heap structure after each deletion.
8 Previous Exam Topics 1. What will be the output of the program? #include <iostream> using namespace std; int main () { int nums[] = {2, 4, 6, 1, 2, 5}; int *p = nums + 5; } while (p >= nums) { if (*p % 3 == 0) { *p = *p + 1; p++; } else if(*p % 2 == 0) { *p += 2; p++; } p = p  2; } for (int i=0; i<6; i++) cout << nums[i] << " "; 2. Write the code fragment that appropriately deletes the node pointed to by p (data value 14) in the doubly linked list shown in the diagram. Write the code fragment to insert a node between 14 and Write code for an abstract base class called SeaCreature. This base class should have at least 2 member functions, not including any constructors/destructors. Write a derived concrete subclass called Fish. Remember to use good programming habits when writing these classes.
Converting a Number from Decimal to Binary
Converting a Number from Decimal to Binary Convert nonnegative integer in decimal format (base 10) into equivalent binary number (base 2) Rightmost bit of x Remainder of x after division by two Recursive
More informationOrdered Lists and Binary Trees
Data Structures and Algorithms Ordered Lists and Binary Trees Chris Brooks Department of Computer Science University of San Francisco Department of Computer Science University of San Francisco p.1/62 60:
More information1) The postfix expression for the infix expression A+B*(C+D)/F+D*E is ABCD+*F/DE*++
Answer the following 1) The postfix expression for the infix expression A+B*(C+D)/F+D*E is ABCD+*F/DE*++ 2) Which data structure is needed to convert infix notations to postfix notations? Stack 3) The
More informationUNIVERSITI MALAYSIA SARAWAK KOTA SAMARAHAN SARAWAK PSD2023 ALGORITHM & DATA STRUCTURE
STUDENT IDENTIFICATION NO UNIVERSITI MALAYSIA SARAWAK 94300 KOTA SAMARAHAN SARAWAK FAKULTI SAINS KOMPUTER & TEKNOLOGI MAKLUMAT (Faculty of Computer Science & Information Technology) Diploma in Multimedia
More informationBinary Heap Algorithms
CS Data Structures and Algorithms Lecture Slides Wednesday, April 5, 2009 Glenn G. Chappell Department of Computer Science University of Alaska Fairbanks CHAPPELLG@member.ams.org 2005 2009 Glenn G. Chappell
More informationDATA STRUCTURES USING C
DATA STRUCTURES USING C QUESTION BANK UNIT I 1. Define data. 2. Define Entity. 3. Define information. 4. Define Array. 5. Define data structure. 6. Give any two applications of data structures. 7. Give
More informationData Structures and Algorithms
Data Structures and Algorithms CS2452016S06 Binary Search Trees David Galles Department of Computer Science University of San Francisco 060: Ordered List ADT Operations: Insert an element in the list
More informationCS 253: Algorithms. Chapter 12. Binary Search Trees. * Deletion and Problems. Credit: Dr. George Bebis
CS 2: Algorithms Chapter Binary Search Trees * Deletion and Problems Credit: Dr. George Bebis Binary Search Trees Tree representation: A linked data structure in which each node is an object Node representation:
More informationPES Institute of TechnologyBSC QUESTION BANK
PES Institute of TechnologyBSC Faculty: Mrs. R.Bharathi CS35: Data Structures Using C QUESTION BANK UNIT I BASIC CONCEPTS 1. What is an ADT? Briefly explain the categories that classify the functions
More informationData Structure [Question Bank]
Unit I (Analysis of Algorithms) 1. What are algorithms and how they are useful? 2. Describe the factor on best algorithms depends on? 3. Differentiate: Correct & Incorrect Algorithms? 4. Write short note:
More informationBinary Search Trees (BST)
Binary Search Trees (BST) 1. Hierarchical data structure with a single reference to node 2. Each node has at most two child nodes (a left and a right child) 3. Nodes are organized by the Binary Search
More information12 Abstract Data Types
12 Abstract Data Types 12.1 Source: Foundations of Computer Science Cengage Learning Objectives After studying this chapter, the student should be able to: Define the concept of an abstract data type (ADT).
More informationExam study sheet for CS2711. List of topics
Exam study sheet for CS2711 Here is the list of topics you need to know for the final exam. For each data structure listed below, make sure you can do the following: 1. Give an example of this data structure
More informationBinary Search Trees CMPSC 122
Binary Search Trees CMPSC 122 Note: This notes packet has significant overlap with the first set of trees notes I do in CMPSC 360, but goes into much greater depth on turning BSTs into pseudocode than
More informationData Structures. Level 6 C30151. www.fetac.ie. Module Descriptor
The Further Education and Training Awards Council (FETAC) was set up as a statutory body on 11 June 2001 by the Minister for Education and Science. Under the Qualifications (Education & Training) Act,
More informationSample Questions Csci 1112 A. Bellaachia
Sample Questions Csci 1112 A. Bellaachia Important Series : o S( N) 1 2 N N i N(1 N) / 2 i 1 o Sum of squares: N 2 N( N 1)(2N 1) N i for large N i 1 6 o Sum of exponents: N k 1 k N i for large N and k
More informationBinary Search Trees. A Generic Tree. Binary Trees. Nodes in a binary search tree ( BST) are of the form. P parent. Key. Satellite data L R
Binary Search Trees A Generic Tree Nodes in a binary search tree ( BST) are of the form P parent Key A Satellite data L R B C D E F G H I J The BST has a root node which is the only node whose parent
More informationMerge Sort. 2004 Goodrich, Tamassia. Merge Sort 1
Merge Sort 7 2 9 4 2 4 7 9 7 2 2 7 9 4 4 9 7 7 2 2 9 9 4 4 Merge Sort 1 DivideandConquer Divideand conquer is a general algorithm design paradigm: Divide: divide the input data S in two disjoint subsets
More information10CS35: Data Structures Using C
CS35: Data Structures Using C QUESTION BANK REVIEW OF STRUCTURES AND POINTERS, INTRODUCTION TO SPECIAL FEATURES OF C OBJECTIVE: Learn : Usage of structures, unions  a conventional tool for handling a
More informationKrishna Institute of Engineering & Technology, Ghaziabad Department of Computer Application MCA213 : DATA STRUCTURES USING C
Tutorial#1 Q 1: Explain the terms data, elementary item, entity, primary key, domain, attribute and information? Also give examples in support of your answer? Q 2: What is a Data Type? Differentiate
More informationQuestions 1 through 25 are worth 2 points each. Choose one best answer for each.
Questions 1 through 25 are worth 2 points each. Choose one best answer for each. 1. For the singly linked list implementation of the queue, where are the enqueues and dequeues performed? c a. Enqueue in
More informationBinary Trees and Huffman Encoding Binary Search Trees
Binary Trees and Huffman Encoding Binary Search Trees Computer Science E119 Harvard Extension School Fall 2012 David G. Sullivan, Ph.D. Motivation: Maintaining a Sorted Collection of Data A data dictionary
More informationData Structures, Practice Homework 3, with Solutions (not to be handed in)
Data Structures, Practice Homework 3, with Solutions (not to be handed in) 1. Carrano, 4th edition, Chapter 9, Exercise 1: What is the order of each of the following tasks in the worst case? (a) Computing
More informationChapter 14 The Binary Search Tree
Chapter 14 The Binary Search Tree In Chapter 5 we discussed the binary search algorithm, which depends on a sorted vector. Although the binary search, being in O(lg(n)), is very efficient, inserting a
More informationCSE 326, Data Structures. Sample Final Exam. Problem Max Points Score 1 14 (2x7) 2 18 (3x6) 3 4 4 7 5 9 6 16 7 8 8 4 9 8 10 4 Total 92.
Name: Email ID: CSE 326, Data Structures Section: Sample Final Exam Instructions: The exam is closed book, closed notes. Unless otherwise stated, N denotes the number of elements in the data structure
More informationTREE BASIC TERMINOLOGIES
TREE Trees are very flexible, versatile and powerful nonliner data structure that can be used to represent data items possessing hierarchical relationship between the grand father and his children and
More informationAS2261 M.Sc.(First Semester) Examination2013 Paper fourth SubjectData structure with algorithm
AS2261 M.Sc.(First Semester) Examination2013 Paper fourth SubjectData structure with algorithm Time: Three Hours] [Maximum Marks: 60 Note Attempts all the questions. All carry equal marks Section A
More informationOutput: 12 18 30 72 90 87. struct treenode{ int data; struct treenode *left, *right; } struct treenode *tree_ptr;
50 20 70 10 30 69 90 14 35 68 85 98 16 22 60 34 (c) Execute the algorithm shown below using the tree shown above. Show the exact output produced by the algorithm. Assume that the initial call is: prob3(root)
More informationA binary search tree or BST is a binary tree that is either empty or in which the data element of each node has a key, and:
Binary Search Trees 1 The general binary tree shown in the previous chapter is not terribly useful in practice. The chief use of binary trees is for providing rapid access to data (indexing, if you will)
More information5. A full binary tree with n leaves contains [A] n nodes. [B] log n 2 nodes. [C] 2n 1 nodes. [D] n 2 nodes.
1. The advantage of.. is that they solve the problem if sequential storage representation. But disadvantage in that is they are sequential lists. [A] Lists [B] Linked Lists [A] Trees [A] Queues 2. The
More informationData Structures and Algorithms Written Examination
Data Structures and Algorithms Written Examination 22 February 2013 FIRST NAME STUDENT NUMBER LAST NAME SIGNATURE Instructions for students: Write First Name, Last Name, Student Number and Signature where
More informationroot node level: internal node edge leaf node CS@VT Data Structures & Algorithms 20002009 McQuain
inary Trees 1 A binary tree is either empty, or it consists of a node called the root together with two binary trees called the left subtree and the right subtree of the root, which are disjoint from each
More informationAlgorithms and Data Structures Written Exam Proposed SOLUTION
Algorithms and Data Structures Written Exam Proposed SOLUTION 20050107 from 09:00 to 13:00 Allowed tools: A standard calculator. Grading criteria: You can get at most 30 points. For an E, 15 points are
More information1 23 Trees: The Basics
CS10: Data Structures and ObjectOriented Design (Fall 2013) November 1, 2013: 23 Trees: Inserting and Deleting Scribes: CS 10 Teaching Team Lecture Summary In this class, we investigated 23 Trees in
More informationInternational Journal of Software and Web Sciences (IJSWS) www.iasir.net
International Association of Scientific Innovation and Research (IASIR) (An Association Unifying the Sciences, Engineering, and Applied Research) ISSN (Print): 22790063 ISSN (Online): 22790071 International
More informationLearning Outcomes. COMP202 Complexity of Algorithms. Binary Search Trees and Other Search Trees
Learning Outcomes COMP202 Complexity of Algorithms Binary Search Trees and Other Search Trees [See relevant sections in chapters 2 and 3 in Goodrich and Tamassia.] At the conclusion of this set of lecture
More information2. (a) Explain the strassen s matrix multiplication. (b) Write deletion algorithm, of Binary search tree. [8+8]
Code No: R05220502 Set No. 1 1. (a) Describe the performance analysis in detail. (b) Show that f 1 (n)+f 2 (n) = 0(max(g 1 (n), g 2 (n)) where f 1 (n) = 0(g 1 (n)) and f 2 (n) = 0(g 2 (n)). [8+8] 2. (a)
More informationHeap. Binary Search Tree. Heaps VS BSTs. < el el. Difference between a heap and a BST:
Heaps VS BSTs Difference between a heap and a BST: Heap el Binary Search Tree el el el < el el Perfectly balanced at all times Immediate access to maximal element Easy to code Does not provide efficient
More informationCS104: Data Structures and ObjectOriented Design (Fall 2013) October 24, 2013: Priority Queues Scribes: CS 104 Teaching Team
CS104: Data Structures and ObjectOriented Design (Fall 2013) October 24, 2013: Priority Queues Scribes: CS 104 Teaching Team Lecture Summary In this lecture, we learned about the ADT Priority Queue. A
More informationA binary search tree is a binary tree with a special property called the BSTproperty, which is given as follows:
Chapter 12: Binary Search Trees A binary search tree is a binary tree with a special property called the BSTproperty, which is given as follows: For all nodes x and y, if y belongs to the left subtree
More informationData Structure with C
Subject: Data Structure with C Topic : Tree Tree A tree is a set of nodes that either:is empty or has a designated node, called the root, from which hierarchically descend zero or more subtrees, which
More information1. The memory address of the first element of an array is called A. floor address B. foundation addressc. first address D.
1. The memory address of the first element of an array is called A. floor address B. foundation addressc. first address D. base address 2. The memory address of fifth element of an array can be calculated
More informationCPSC 211 Data Structures & Implementations (c) Texas A&M University [ 221] edge. parent
CPSC 211 Data Structures & Implementations (c) Texas A&M University [ 221] Trees Important terminology: edge root node parent Some uses of trees: child leaf model arithmetic expressions and other expressions
More informationHeaps & Priority Queues in the C++ STL 23 Trees
Heaps & Priority Queues in the C++ STL 23 Trees CS 3 Data Structures and Algorithms Lecture Slides Friday, April 7, 2009 Glenn G. Chappell Department of Computer Science University of Alaska Fairbanks
More informationECE 250 Data Structures and Algorithms MIDTERM EXAMINATION 20081023/5:156:45 REC200, EVI350, RCH106, HH139
ECE 250 Data Structures and Algorithms MIDTERM EXAMINATION 20081023/5:156:45 REC200, EVI350, RCH106, HH139 Instructions: No aides. Turn off all electronic media and store them under your desk. If
More informationPrevious Lectures. BTrees. External storage. Two types of memory. Btrees. Main principles
BTrees Algorithms and data structures for external memory as opposed to the main memory BTrees Previous Lectures Height balanced binary search trees: AVL trees, redblack trees. Multiway search trees:
More informationBhakta Kavi Narsinh Mehta University, Junagadh
Bhakta Kavi Narsinh Mehta University, Junagadh Draft Syllabus for B.Sc. (Computer Science) Bachelor of Science (Computer Science) (Semester  1) Effective From June  2016 B.Sc. (C.S.) (Semester  1) CS101:
More informationBinary Heaps. CSE 373 Data Structures
Binary Heaps CSE Data Structures Readings Chapter Section. Binary Heaps BST implementation of a Priority Queue Worst case (degenerate tree) FindMin, DeleteMin and Insert (k) are all O(n) Best case (completely
More informationLecture Notes on Binary Search Trees
Lecture Notes on Binary Search Trees 15122: Principles of Imperative Computation Frank Pfenning André Platzer Lecture 17 October 23, 2014 1 Introduction In this lecture, we will continue considering associative
More informationBinary Search Trees. Data in each node. Larger than the data in its left child Smaller than the data in its right child
Binary Search Trees Data in each node Larger than the data in its left child Smaller than the data in its right child FIGURE 116 Arbitrary binary tree FIGURE 117 Binary search tree Data Structures Using
More informationAlgorithms and Data Structures
Algorithms and Data Structures Part 2: Data Structures PD Dr. rer. nat. habil. RalfPeter Mundani Computation in Engineering (CiE) Summer Term 2016 Overview general linked lists stacks queues trees 2 2
More informationDo not open this examination paper until instructed to do so. Section A: answer all the questions. Section B: answer all the questions.
N10/5/COMSC/HP1/ENG/TZ0/XX 88107011 Computer science HIGHER level Paper 1 Tuesday 16 November 2010 (afternoon) 2 hours 15 minutes INSTRUCTIONS TO CANDIDATES Do not open this examination paper until instructed
More informationLecture Notes on Binary Search Trees
Lecture Notes on Binary Search Trees 15122: Principles of Imperative Computation Frank Pfenning Lecture 17 March 17, 2010 1 Introduction In the previous two lectures we have seen how to exploit the structure
More informationData Structures Using C++
Data Structures Using C++ 1.1 Introduction Data structure is an implementation of an abstract data type having its own set of data elements along with functions to perform operations on that data. Arrays
More informationBTrees. Algorithms and data structures for external memory as opposed to the main memory BTrees. B trees
BTrees Algorithms and data structures for external memory as opposed to the main memory BTrees Previous Lectures Height balanced binary search trees: AVL trees, redblack trees. Multiway search trees:
More informationJava Software Structures
INTERNATIONAL EDITION Java Software Structures Designing and Using Data Structures FOURTH EDITION John Lewis Joseph Chase This page is intentionally left blank. Java Software Structures,International Edition
More informationThe ADT Binary Search Tree
The ADT Binary Search Tree The Binary Search Tree is a particular type of binary tree that enables easy searching for specific items. Definition The ADT Binary Search Tree is a binary tree which has an
More informationThe following themes form the major topics of this chapter: The terms and concepts related to trees (Section 5.2).
CHAPTER 5 The Tree Data Model There are many situations in which information has a hierarchical or nested structure like that found in family trees or organization charts. The abstraction that models hierarchical
More informationLecture 6: Binary Search Trees CSCI 700  Algorithms I. Andrew Rosenberg
Lecture 6: Binary Search Trees CSCI 700  Algorithms I Andrew Rosenberg Last Time Linear Time Sorting Counting Sort Radix Sort Bucket Sort Today Binary Search Trees Data Structures Data structure is a
More informationGRAPH THEORY LECTURE 4: TREES
GRAPH THEORY LECTURE 4: TREES Abstract. 3.1 presents some standard characterizations and properties of trees. 3.2 presents several different types of trees. 3.7 develops a counting method based on a bijection
More informationAnalysis of Algorithms I: Binary Search Trees
Analysis of Algorithms I: Binary Search Trees Xi Chen Columbia University Hash table: A data structure that maintains a subset of keys from a universe set U = {0, 1,..., p 1} and supports all three dictionary
More informationHome Page. Data Structures. Title Page. Page 1 of 24. Go Back. Full Screen. Close. Quit
Data Structures Page 1 of 24 A.1. Arrays (Vectors) nelement vector start address + ielementsize 0 +1 +2 +3 +4... +n1 start address continuous memory block static, if size is known at compile time dynamic,
More informationData Structures Fibonacci Heaps, Amortized Analysis
Chapter 4 Data Structures Fibonacci Heaps, Amortized Analysis Algorithm Theory WS 2012/13 Fabian Kuhn Fibonacci Heaps Lacy merge variant of binomial heaps: Do not merge trees as long as possible Structure:
More informationAP Computer Science AB Syllabus 1
AP Computer Science AB Syllabus 1 Course Resources Java Software Solutions for AP Computer Science, J. Lewis, W. Loftus, and C. Cocking, First Edition, 2004, Prentice Hall. Video: Sorting Out Sorting,
More informationUniversity of Pune Revised Structure for the B. Sc. (Computer Science) Course (Second Year to be implemented from Academic Year 20142015)
University of Pune Revised Structure for the B. Sc. (Computer Science) Course (Second Year to be implemented from Academic Year 20142015) S. Y. B. Sc. (Computer Science) No Paper Title: Semester I Title:
More informationAbstract Data Type. EECS 281: Data Structures and Algorithms. The Foundation: Data Structures and Abstract Data Types
EECS 281: Data Structures and Algorithms The Foundation: Data Structures and Abstract Data Types Computer science is the science of abstraction. Abstract Data Type Abstraction of a data structure on that
More informationMAX = 5 Current = 0 'This will declare an array with 5 elements. Inserting a Value onto the Stack (Push) 
=============================================================================================================================== DATA STRUCTURE PSEUDOCODE EXAMPLES (c) Mubashir N. Mir  www.mubashirnabi.com
More informationOutline BST Operations Worst case Average case Balancing AVL Redblack Btrees. Binary Search Trees. Lecturer: Georgy Gimel farb
Binary Search Trees Lecturer: Georgy Gimel farb COMPSCI 220 Algorithms and Data Structures 1 / 27 1 Properties of Binary Search Trees 2 Basic BST operations The worstcase time complexity of BST operations
More informationTables so far. set() get() delete() BST Average O(lg n) O(lg n) O(lg n) Worst O(n) O(n) O(n) RB Tree Average O(lg n) O(lg n) O(lg n)
Hash Tables Tables so far set() get() delete() BST Average O(lg n) O(lg n) O(lg n) Worst O(n) O(n) O(n) RB Tree Average O(lg n) O(lg n) O(lg n) Worst O(lg n) O(lg n) O(lg n) Table naïve array implementation
More informationTo My Parents Laxmi and Modaiah. To My Family Members. To My Friends. To IIT Bombay. To All Hard Workers
To My Parents Laxmi and Modaiah To My Family Members To My Friends To IIT Bombay To All Hard Workers Copyright 2010 by CareerMonk.com All rights reserved. Designed by Narasimha Karumanchi Printed in
More informationLinked Lists Ch 17 (Gaddis) Introduction to Linked Lists. Introduction to Linked Lists. Node Organization
Linked Lists Ch 17 (Gaddis) Introduction to Linked Lists A data structure representing a A series of nodes chained together in sequence CS 3358 Summer I 2012 Jill Seaman  Each node points to one other
More information6 March 2007 1. Array Implementation of Binary Trees
Heaps CSE 0 Winter 00 March 00 1 Array Implementation of Binary Trees Each node v is stored at index i defined as follows: If v is the root, i = 1 The left child of v is in position i The right child of
More informationGUJARAT TECHNOLOGICAL UNIVERSITY, AHMEDABAD, GUJARAT. Course Curriculum. DATA STRUCTURES (Code: 3330704)
GUJARAT TECHNOLOGICAL UNIVERSITY, AHMEDABAD, GUJARAT Course Curriculum DATA STRUCTURES (Code: 3330704) Diploma Programme in which this course is offered Semester in which offered Computer Engineering,
More informationData Structure and Algorithm I Midterm Examination 120 points Time: 9:10am12:10pm (180 minutes), Friday, November 12, 2010
Data Structure and Algorithm I Midterm Examination 120 points Time: 9:10am12:10pm (180 minutes), Friday, November 12, 2010 Problem 1. In each of the following question, please specify if the statement
More informationFrom Last Time: Remove (Delete) Operation
CSE 32 Lecture : More on Search Trees Today s Topics: Lazy Operations Run Time Analysis of Binary Search Tree Operations Balanced Search Trees AVL Trees and Rotations Covered in Chapter of the text From
More information1.204 Lecture 6. Data structures: stacks, queues, trees, dictionaries. Data structures
1.204 Lecture 6 Data structures: stacks, queues, trees, dictionaries Data structures Correct and efficient representation of data and applicable rules Stack: last in, first out discipline Queue: first
More informationSymbol Tables. Introduction
Symbol Tables Introduction A compiler needs to collect and use information about the names appearing in the source program. This information is entered into a data structure called a symbol table. The
More informationBinary Search Trees 3/20/14
Binary Search Trees 3/0/4 Presentation for use ith the textbook Data Structures and Algorithms in Java, th edition, by M. T. Goodrich, R. Tamassia, and M. H. Goldasser, Wiley, 04 Binary Search Trees 4
More informationA TOOL FOR DATA STRUCTURE VISUALIZATION AND USERDEFINED ALGORITHM ANIMATION
A TOOL FOR DATA STRUCTURE VISUALIZATION AND USERDEFINED ALGORITHM ANIMATION Tao Chen 1, Tarek Sobh 2 Abstract  In this paper, a software application that features the visualization of commonly used
More informationBinary Search Trees > = Binary Search Trees 1. 2004 Goodrich, Tamassia
Binary Search Trees < 6 2 > = 1 4 8 9 Binary Search Trees 1 Binary Search Trees A binary search tree is a binary tree storing keyvalue entries at its internal nodes and satisfying the following property:
More informationChapter 7. Ch.7 Problem Solving and Algorithms
Chapter 7 Ch.7 Problem Solving and Algorithms QUIZ: Match the steps in Polya s method to the ones in the computer method for problem solving Devise a plan Look back Understand Carry out the plan Analysis
More informationData Structures Using C++ 2E. Chapter 5 Linked Lists
Data Structures Using C++ 2E Chapter 5 Linked Lists Doubly Linked Lists Traversed in either direction Typical operations Initialize the list Destroy the list Determine if list empty Search list for a given
More informationAny two nodes which are connected by an edge in a graph are called adjacent node.
. iscuss following. Graph graph G consist of a non empty set V called the set of nodes (points, vertices) of the graph, a set which is the set of edges and a mapping from the set of edges to a set of pairs
More informationINTERNATIONAL JOURNAL OF PURE AND APPLIED RESEARCH IN ENGINEERING AND TECHNOLOGY
INTERNATIONAL JOURNAL OF PURE AND APPLIED RESEARCH IN ENGINEERING AND TECHNOLOGY A PATH FOR HORIZING YOUR INNOVATIVE WORK A REVIEW ON THE USAGE OF OLD AND NEW DATA STRUCTURE ARRAYS, LINKED LIST, STACK,
More informationData Structures Using Java
Data Structures Using Java D. S. Malik P. S. Nair THOMSON COURSE TECHNOLOGY Australia Canada Mexico Singapore Spain United Kingdom United States TABLE OF Contents PREFACE XXV 1.Software Engineering Principles
More informationBinary Heaps * * * * * * * / / \ / \ / \ / \ / \ * * * * * * * * * * * / / \ / \ / / \ / \ * * * * * * * * * *
Binary Heaps A binary heap is another data structure. It implements a priority queue. Priority Queue has the following operations: isempty add (with priority) remove (highest priority) peek (at highest
More informationIn our lecture about Binary Search Trees (BST) we have seen that the operations of searching for and inserting an element in a BST can be of the
In our lecture about Binary Search Trees (BST) we have seen that the operations of searching for and inserting an element in a BST can be of the order O(log n) (in the best case) and of the order O(n)
More informationAtmiya Infotech Pvt. Ltd. Data Structure. By Ajay Raiyani. Yogidham, Kalawad Road, Rajkot. Ph : 572365, 576681 1
Data Structure By Ajay Raiyani Yogidham, Kalawad Road, Rajkot. Ph : 572365, 576681 1 Linked List 4 Singly Linked List...4 Doubly Linked List...7 Explain Doubly Linked list: ...7 Circular Singly Linked
More informationCpt S 223. School of EECS, WSU
Priority Queues (Heaps) 1 Motivation Queues are a standard mechanism for ordering tasks on a firstcome, firstserved basis However, some tasks may be more important or timely than others (higher priority)
More informationParallelization: Binary Tree Traversal
By Aaron Weeden and Patrick Royal Shodor Education Foundation, Inc. August 2012 Introduction: According to Moore s law, the number of transistors on a computer chip doubles roughly every two years. First
More information6. Standard Algorithms
6. Standard Algorithms The algorithms we will examine perform Searching and Sorting. 6.1 Searching Algorithms Two algorithms will be studied. These are: 6.1.1. inear Search The inear Search The Binary
More informationCSE 326: Data Structures BTrees and B+ Trees
Announcements (4//08) CSE 26: Data Structures BTrees and B+ Trees Brian Curless Spring 2008 Midterm on Friday Special office hour: 4:5: Thursday in Jaech Gallery (6 th floor of CSE building) This is
More informationA binary search tree or BST is a binary tree that is either empty or in which the data element of each node has a key, and:
1 The general binary tree shown in the previous chapter is not terribly useful in practice. The chief use of binary trees is for providing rapid access to data (indexing, if you will) and the general binary
More informationBalanced Binary Search Tree
AVL Trees / Slide 1 Balanced Binary Search Tree Worst case height of binary search tree: N1 Insertion, deletion can be O(N) in the worst case We want a tree with small height Height of a binary tree with
More informationAlgorithms Chapter 12 Binary Search Trees
Algorithms Chapter 1 Binary Search Trees Outline Assistant Professor: Ching Chi Lin 林 清 池 助 理 教 授 chingchi.lin@gmail.com Department of Computer Science and Engineering National Taiwan Ocean University
More informationObjectOriented Programming, Iouliia Skliarova
ObjectOriented Programming, Iouliia Skliarova Data types define the way you use the storage (memory) in the programs. By specifying a data type, you tell the sompiler how to create a particular piece
More informationClass Notes CS 3137. 1 Creating and Using a Huffman Code. Ref: Weiss, page 433
Class Notes CS 3137 1 Creating and Using a Huffman Code. Ref: Weiss, page 433 1. FIXED LENGTH CODES: Codes are used to transmit characters over data links. You are probably aware of the ASCII code, a fixedlength
More informationTree Properties (size vs height) Balanced Binary Trees
Tree Properties (size vs height) Balanced Binary Trees Due now: WA 7 (This is the end of the grace period). Note that a grace period takes the place of a late day. Now is the last time you can turn this
More information13 Classes & Objects with Constructors/Destructors
13 Classes & Objects with Constructors/Destructors 13.1 Introduction In object oriented programming, the emphasis is on data rather than function. Class is a way that binds the data & function together.
More informationFull and Complete Binary Trees
Full and Complete Binary Trees Binary Tree Theorems 1 Here are two important types of binary trees. Note that the definitions, while similar, are logically independent. Definition: a binary tree T is full
More information