CS
Data Structure: Heaps
Objectives
Heaps
Priority Queues
Heap sort
Priority Queues
In a number of applications a data structure that can produce
the smallest item in a collection is useful.
Obviou
Data Structures
Hash Tables
Hash Tables
Hashing allows us to nd elements in a data structure
quickly without making a linear search
A hash function computes an integer value (called
the hash
Presentation for use with the textbook Data Structures and
Algorithms in Java, 6th edition, by M. T. Goodrich, R. Tamassia,
and M. H. Goldwasser, Wiley, 2014
Hash Tables
0
1
2
3
4
2014 Goodrich, Tama
Presentation for use with the textbook Data Structures and
Algorithms in Java, 6th edition, by M. T. Goodrich, R. Tamassia,
and M. H. Goldwasser, Wiley, 2014
Binary Search Trees
<
2
1
2014 Goodrich,
Presentation for use with the textbook Data Structures and
Algorithms in Java, 6th edition, by M. T. Goodrich, R. Tamassia,
and M. H. Goldwasser, Wiley, 2014
Heaps
2
5
9
2014 Goodrich, Tamassia, Gold
Presentation for use with the textbook Data Structures and
Algorithms in Java, 6th edition, by M. T. Goodrich, R. Tamassia,
and M. H. Goldwasser, Wiley, 2014
Skip Lists
S3 -
+
S2 -
15
S1 -
15
23
15
23
Presentation for use with the textbook Data Structures and
Algorithms in Java, 6th edition, by M. T. Goodrich, R. Tamassia,
and M. H. Goldwasser, Wiley, 2014
Analysis of Algorithms
Input
2014 Goodric
Presentation for use with the textbook Data Structures and
Algorithms in Java, 6th edition, by M. T. Goodrich, R. Tamassia,
and M. H. Goldwasser, Wiley, 2014
Adaptable Priority
Queues
3 a
5 g
2014 Go
Presentation for use with the textbook Data Structures and
Algorithms in Java, 6th edition, by M. T. Goodrich, R. Tamassia,
and M. H. Goldwasser, Wiley, 2014
Maps
2014 Goodrich, Tamassia, Goldwasser
Presentation for use with the textbook Data Structures and
Algorithms in Java, 6th edition, by M. T. Goodrich, R. Tamassia,
and M. H. Goldwasser, Wiley, 2014
Priority Queues
2014 Goodrich, Tamassia,
Presentation for use with the textbook Data Structures and
Algorithms in Java, 6th edition, by M. T. Goodrich, R. Tamassia,
and M. H. Goldwasser, Wiley, 2014
Trees
Mammal
Dog
2014 Goodrich, Tamassia,
Presentation for use with the textbook Data Structures and
Algorithms in Java, 6th edition, by M. T. Goodrich, R. Tamassia,
and M. H. Goldwasser, Wiley, 2014
Recursion
2014 Goodrich, Tamassia, Goldwa
Presentation for use with the textbook Data Structures and
Algorithms in Java, 6th edition, by M. T. Goodrich, R. Tamassia,
and M. H. Goldwasser, Wiley, 2014
Queues
2014 Goodrich, Tamassia, Goldwasse
Presentation for use with the textbook Data Structures and
Algorithms in Java, 6th edition, by M. T. Goodrich, R. Tamassia,
and M. H. Goldwasser, Wiley, 2014
Object-Oriented Programming
2014 Goodrich
Presentation for use with the textbook Data Structures and
Algorithms in Java, 6th edition, by M. T. Goodrich, R. Tamassia,
and M. H. Goldwasser, Wiley, 2014
Java Primer 1: Types, Classes
and Operator
Presentation for use with the textbook Data Structures and
Algorithms in Java, 6th edition, by M. T. Goodrich, R. Tamassia,
and M. H. Goldwasser, Wiley, 2014
Java Primer 2: I/O Methods
and Control Flo
Presentation for use with the textbook Data Structures and
Algorithms in Java, 6th edition, by M. T. Goodrich, R. Tamassia,
and M. H. Goldwasser, Wiley, 2014
Doubly Linked Lists
2014 Goodrich, Tamass
Presentation for use with the textbook Data Structures and
Algorithms in Java, 6th edition, by M. T. Goodrich, R. Tamassia,
and M. H. Goldwasser, Wiley, 2014
Arrays
2014 Goodrich, Tamassia, Goldwasse
CSCI3007 OCL Tutorial Background The Royal and Loyal (R&L) company handles loyalty programs for companies that offer their customers various kinds of bonuses (E.g., bonus points, air miles, reduced ra
Loyalty Program Information System Requirements
The Royal and Loyal (R&L) company handles loyalty programs for companies that offer their customers various kinds of bonuses (E.g., bonus points, air mi
Behavior Modeling
Class models express properties that are true of a system at all times Although they are general, they fail to convey interesting behavioral aspects of systems
That is, how objects
EXAMPLE
Vector Y = SORT(Vector X) pre: true post: ORDERED(Y) PERMUTATION(X,Y)
Sorting Routine
Provide an English-language statement describing the expected behavior of a routine SORT(X,Y) where X is
DESIGN PATTERNS
A design pattern is a solution to a problem in a context
descriptions of communicating objects and classes that are customized to solve a general design problem in a particular conte
OCL (1.4)
Object Constraint Language Official part of UML Strongly typed declarative specification of system properties Assertions plus collection classes plus a notation for navigating in UML diagra
Modeling with UML (1.4) Class Model Diagrams
UML class model diagrams are commonly used to represent the structural aspects of system design problems A class diagram consists of a collection of objec
Motivation
With the Library Problem, we saw that we could use a UML class model diagram to conceptualize the main participants in a problem and their relationships The modeling process actually helpe
Exercise StateChart Model of a Clock Radio
Imagine you had to prepare an analysis model of the external behavior of a clock radio What steps would you take to do this?
Statechart Modeling Method
1. 2
UML Class Diagrams
May also contain interfaces, objects, packages, relationships Sometimes called "static structure diagrams" Unified Modeling Language (UML), version 1.5
www.omg.org/technology/docu
Ambulance System
for Patient Transportation
CS6310 Software Architecture & Design Assignment #2 Design in Other Fields January 17, 08 17 08 Minho Lee Wonjong Song SangHyun Kim Junhui Yun
Problem Area