[PDF] [PDF] Abstract Data Types Data Structure “Grand Tour” Java Collections

▻ Remember, O isn't a tight bound Page 4 ▻ explain what an ADT is ▻ list four examples of ADTs in the Collections



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[PDF] Abstract Data Types Data Structure “Grand Tour” Java Collections

▻ Remember, O isn't a tight bound Page 4 ▻ explain what an ADT is ▻ list four examples of ADTs in the Collections



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Abstract Data Types

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Java Collections

`Stacks and Queues ŃHopefully you have met with your partner to start

ŃHopefully you and your partner can work well

together. I usually like to pair people with similar NMŃNJURXQGV NXP VLQŃH H GRQ·P NQRR POMP \HP POH\ are arbitrary.

ŃFinish day 4 quiz now.

`From question 2:

Suppose T1(N) is O(f(N)) and T2(N) is O(f(N)). Prove that T1(N) + T2(N) is O(f(N)) or give a counter-example:

`Hint: Constants c1 and c2 must exist for T1(N) and T2(N) to be O(f(N))

ŃHow can you use them?

`Does this work exactly like this for T1(N) -T2(N) ? `5HPHPNHU 2 LVQ·P M PLJOP NRXQGB `explain what an ADT is `list four examples of ADTs in the Collections framework `list examples of implementations of the ADTs in the Collections framework `explain why stacks and queues are still good

ADTs to use, even though lists could be used.

What is data?

What do we mean by

structure?

ŃA set of operations

ŃMay be provided by the hardware (intand double)

ŃBy software (java.math.BigInteger)

ŃBy software + hardware (int[])

`A mathematical model of a data type `Specifies:

ŃThe type of data stored

ŃThe operations supported

ŃArgument types and return types of these operations

ŃWhat each operation does, but not how

`One special value: zero `Three basic operations:

Ńsucc

Ńpred

ŃisZero

`Derived operations include plus `Sample rules:

ŃisZero(succ(n)) Îfalse

Ńpred(succ(n)) În

Ńplus(n, zero) În

Ńplus(n, succ(m)) Îsucc(plus(n, m))

Q1 Q2

Specification

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Implementation:

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Application:

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CSSE220

CSSE230

Some review

Some new

All will appear again

`Array `List

ŃArray List

ŃLinked List

`Stack `Queue `Set

ŃTree Set

ŃHash Set

ŃLinked Hash Set

`Map

ŃTree Map

ŃHash Map

`Priority Queue `Tree `Graph `Network

Implementations for almost all

of these* are provided by the

Java Collections Framework in

the java.utilpackage. *Exceptions: Tree, Graph, Network `Search for Java 8 Collection `With a partner, read the javadocsto answer the quiz questions. You only need to submit one quiz per pair. (Put both names at top) `I have used the rest of the slides when teaching CSSE230 before.

ŃMaybe a good reference?

`When you finish, you may work on your current CSSE230 assignments Q3-11 `Size must be declared when the array is constructed `Can look up or store items by index

Example:

nums[i+1] = nums[i] + 2; `How is this done? a[0] a[1] a[2] a[i] a[N-2] a[N-1] La `A list is an ordered collection where elements may be added anywhere, and any elements may be deleted or replaced. `Array List:Like an array, but growable and shrinkable. `Linked List:

Operations

Provided

Array List

Efficiency

Linked List

Efficiency

Random accessO(1)O(n)

Add/remove itemO(n)O(1)

`A last-in, first-out (LIFO) data structure `Real-world stacks

ŃPlate dispensers in

the cafeteria

ŃPancakes!

`Some uses:

ŃTracking paths through a maze

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Operations

Provided

Efficiency

PushitemO(1)

Pop itemO(1)

Implemented by

Stack, LinkedList,

and ArrayDequein Java `first-in, first-out (FIFO) data structure `Real-world queues

ŃWaiting line at

the BMV

ŃCharacter on Star Trek TNG

`Some uses: ŃScheduling access to shared resource (e.g., printer)

Operations

Provided

Efficiency

Enqueue itemO(1)

Dequeue itemO(1)

Implemented by

LinkedListand

ArrayDequein

Java `A collection of items without duplicates (in general, order does not matter)

ŃIf aand bare both in set, then !a.equals(b)

`Real-world sets:

ŃStudents

ŃCollectibles

`One possible use:

ŃQuickly checking if an

item is in a collection

OperationsHashSetTreeSet

Add/remove itemO(1)O(logn)

Contains?O(1)O(logn)

Can hog space

Sorts items!

Example from 220

`Associate keyswith values `Real-RRUOG ´PMSVµ

ŃDictionary

ŃPhone book

`Some uses:

ŃAssociating student ID with transcript

ŃAssociating name with high scores

OperationsHashMapTreeMap

Insert key-value pairO(1)O(log n)

Look up the value associated

with a given key

O(1)O(log n)

Can hog space

Sorts items by key!

How is a TreeMaplike a TreeSet?

How is it different?

`Each itemstored hasanassociated priority Ń2QO\ LPHP RLPO ´PLQLPXPµ SULRULP\ LV MŃŃHVVLNOH

ŃOperations: insert, findMin, deleteMin

`Real-RRUOG ´SULRULP\ TXHXHµ

ŃAirport ticketing counter

`Some uses

ŃSimulations

ŃScheduling in an OS

ŃHuffman coding

Not like regular

queues!

Operations

Provided

Efficiency

InsertO(log n)

Find MinO(log n)

Delete MinO(log n)

The version in Warm Up

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efficient. `Collection of nodes

ŃOne specialized node is the root.

ŃA node has one parent (unless it is the root)

ŃA node has zero or more children.

`Real-RRUOG ´PUHHVµ

ŃOrganizational hierarchies

ŃSome family trees

`Some uses:

ŃDirectory structure

on a hard drive

ŃSorted collections

Operations

Provided

Efficiency

FindO(log n)

Add/removeO(log n)

Only if tree is

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`A collection of nodes and edges

ŃEach edge joins two nodes

ŃEdges can be directed or undirected

`Real-RRUOG ´JUMSOµ

ŃRoad map

`Some uses:

ŃTracking links between web pages

ŃFacebook

Operations

Provided

Efficiency

FindO(n)

Add/removeO(1) or O(n) or O(n2)

Depends on

implementation (time/space trade off) `Graph whose edges have numeric labels `Examples (labels):

ŃRoad map (mileage)

ŃAirline's flight map (flying time)

ŃPlumbing system (gallons per minute)

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