CSC 212 – Data Structures LECTURE 41: COURSE REVIEW Final Exam Fri., Dec. 17th from 8AM – 10AM in OM 200 Plan on exam taking full 2 hours If major problem, come talk to me ASAP Exam covers material from entire semester Open-book & open-note so bring what you’ve got My handouts, solutions, & computers are not allowed Cannot collaborate with a neighbor on the exam Problems will be in a similar style to 2 midterms Inheritance implements & extends used for relationships Both imply there exists an IS-A relationship public class Student extends Person {…} public class Cat extends Mammal { … } public class AQ<E> implements Queue<E>{…} Inheritance All Java classes extend exactly 1 other class All fields & methods inherited from the superclass Within subclass, can access non-private members Private methods inherited, but cannot be accessed Classes can implement any number of interfaces Must implement methods from the interface Overriding & Hiding Subclass can override/overload inherited methods Instance’s type determines which method is called Parameter list stays the same to override the method Overload method by modifying parameter list Field in superclass hidden by redeclaring in subclass 2 fields with the same name now in subclass Use the field for variable’s type Exceptions in Java throw an exception when an error detected Exceptions are objects - need an instance to throw try executing code & catch errors to handle try only when you will catch 1 or more exceptions Do not need to catch every exception If it is never caught, program will crash Not a bad thing – had an unfixable error! Exceptions listed in methods’ throws clause Uncaught exception only need to be listed Should list even if thrown by another method Abstract Methods Methods declared abstract cannot have body IOU for subclasses which will eventually define it abstract methods only in abstract classes Cannot instantiate an abstract class But could still have fields & (non-abstract) methods abstract methods declared by interfaces Interfaces cannot declare fields public abstract methods only in interfaces Arrays vs. Linked Lists Concrete implementations used to hold data Not ADTs Arrays are easier to use & provide quicker access Also are impossible to grow Implementing ADTs harder due to lack of flexibility Slower access & more complex to use linked lists Implementing ADTs easier with increased flexibility Can be singly, doubly, or circularly linked Stack vs. Queue Order read if Stack Order read if Queue Access data with Stack in LIFO order Last In-First Out is totally unfair (unless always late) Data accessed in Queue using FIFO order First In-First Out ensures early bird gets the worm Simplest ADTs Queue Stack Deque ADT Operations DEQUE QUEUE STACK addFront() addLast() enqueue() push() getFront() getLast() front() top() removeFront() removeLast() dequeue() pop() Iterators & Iterables import java.util.Iterator; import java.lang.Iterable; public interface Iterator<E> { E next() throws NoSuchElementException; boolean hasNext(); void remove() throws UnsupportedOperationException; } public interface Iterable<E> { Iterator<E> iterator(); } More Iterator & Iterable Abstract work in processing with Iterator Iterable<Integer> myList; Iterator<Integer> it; ... for (it = myList.iterator(); it.hasNext(); ) { Integer i = it.next(); ... } Process Iterable objects in an even easier way ... for (Integer i : myList) { ... } IndexList & NodeList Collection which we can access all elements Add element before an existing one Return the 3rd element in List Loop over all elements without removing them LIST ADTs differ in how they provide access INDEXLIST uses indices for absolution positioning Can only use relative positions in NODELIST All LISTS are ITERABLE Sequence ADT Combines DEQUE, INDEXLIST, & POSITIONLIST Includes all methods defined by these interfaces Adds 2 methods to convert between systems Get Position at index using atIndex(i) indexOf(pos) returns index of a Position Sequence ADT Combines DEQUE, INDEXLIST, & POSITIONLIST Includes all methods defined by these interfaces Adds 2 methods to convert between systems Get Position at index using atIndex(i) indexOf(pos) returns index of a Position Trees vs. Binary Trees Both represent parent-child relationships Both consist of single "root" node & its descendants Nodes can have at most one parent Root nodes are orphans -- do not have a parent All others, the non-root nodes must have parent Children not required for any node in the tree No limit to number of children for non-binary trees 2 children for node in binary tree is the maximum Traversal Methods Many traversals, differ in order nodes visited Do parent then do each kid in pre-order traversal Traversal Methods Many traversals, differ in order nodes visited Do parent then do each kid in pre-order traversal Post-order traversal does kids before doing parents Traversal Methods Many traversals, differ in order nodes visited Do parent then do each kid in pre-order traversal Post-order traversal does kids before doing parents Do left kid, parent, then right kid in in-order traversal Visualization of Tree Tree root size6 Tree B B D A C F A D F E C E Picturing Linked BinaryTree BinaryTree root BinaryTree size4 B A B C D A C D Priority Queue ADT Priority queue uses strict ordering of data Values assigned priority when added to the queue Priorities used to process in completely biased order First you get the sugar, then you get the power, then you get the women Priority Queue ADT PriorityQueue yet another Collection Prioritize each datum contained in the collection PQ is organized from lowest to highest priority Access smallest priority only sort of like Queue min() & removeMin() return priority & value Implementation not defined: this is still an ADT Remember that organization & order is theoretical only Priority Queue ADT order is theoretical only Entrys in a PriorityQueue PriorityQueues use Entry to hold data As with Position, implementations may differ Entry has 2 items that define how it gets used PQ will only use key – the priority given to the Entry Value is important data to be processed by program Sequence-based Priority Queue Simplest implementation of a Priority Queue Instance of Sequence used to store Entrys Many implementations possible for Sequence But we already know how to do that, so… Assume O(1) access and ignore all other details But how to store Entrys in the Sequence? Order Entrys by priority within the Sequence -OR Sequence unordered & searched when needed Heaps Binary-tree based PQ implementation Still structured using parent-child relationship At most 2 children & 1 parent for each node in tree Heaps must also satisfy 2 additional properties Parent at least as important as its children Structure must form a complete binary tree 2 5 7 9 6 Hints for Studying Will NOT require memorizing: ADT’s methods Node implementations Big-Oh time proofs (Memorizing anything) Hints for Studying You should know (& be ready to look up): How ADT implementations work (tracing & more) For each method what it does & what it returns Where & why each ADT would be used For each ADT implementations, its pros & cons How to compute big-Oh time complexity Studying For the Exam 1. What does the ADT do? 2. How is the ADT used? 3. Where in the real-world is this found? What are the applications of this ADT? How is it used and why? How do we implement the ADT? Given the implementation, why do we do it like that? What tradeoffs does this implementation make? “Subtle” Hint Final Exam Schedule Lab Mastery Exam is: Tues., Dec. 14th from 2:45PM – 3:45PM in OM 119 Final Exam is: Fri., Dec. 17th from 8AM – 10AM in OM 200