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CS 314 The University of Texas

What is the Big O of linear search of arrays, ArrayList, and LinkedList?

O(N)

What is the Big O of binary search?

O(log(N))

What is the Big O of accessing some element in the middle of an ArrayList?

O(1)

What is the Big O of accessing some element in the middle of a LinkedList?

O(N)

What is the Big O of inserting at the front of an array or an ArrayList?

O(N)

What is the Big O of inserting at the front of a LinkedList?

O(1)

What is the Big O of inserting in the middle of an ArrayList?

O(N)

What is the Big O of binary search?

O(log(N))

What is the Big O of quicksort?

O(n*log(N))

What is the Big O of selection sort?

O(n²)

What is the Big O of a matrix multiply?

O(n³)

Describe how log(n) grows.

Slowly

Since log(n) grows at the rate it does, what number can it be compared to?

1

10 bits is equal to about how many decimal digits?

3

O(log(n)) is better than which function?

O(N)

An int is how many bits?

32

32-bits can represent about how many decimal digits?

9

A long is how many bits?

19

64-bits can represent about how many decimal digits?

19

Which algorithms show up as straight lines on log-log graphs?

Polynomial

When there is a straight line on a log-log graph, what does the slope represent?

The order of the polynomial

Which function will produce a linear plot on semi-log paper?

Exponential

What does it mean for a function to be intractable?

It can only be computed when n is relatively small (for example, exponential)

When the ratio of times as the size of input is doubled is about 2, what is the Big O?

O(n)

When the ratio of times as the size of input is doubled is somewhat larger than 2, what is the Big O?

O( n*log(n) )

When the ratio of times as the size of input is doubled is about 4, what is the Big O?

O(n²)

When the ratio of times as the size of input is doubled is about 8, what is the Big O?

O(n³)

How can you find the Big O of a loop?

The loop count times the Big O of the contents

How can you find the Big O of an if statement?

The max of the Big O of the test, then statement, and else statement

Determine the Big O of the following code:

for ( i = 0; i < n; i++)
{
for (j = 0; j < n; j++)
{
sum += a[i][j];
}
}

O(n²)

What does it mean for something to be random access?

Access to any element has the same cost (for example, arrays)

What is a pointer (aka reference)?

The memory address of the beginning of a record, or block of storage

How big is a pointer?

32 bits

What is sometimes called a boxed integer?

A record that contains other pointers

For reference types, what do == and != test?

The equality of pointer values (i.e. do they have the exact same data address in memory?)

What should be used to test the equality of the contents or value of a reference type?

.equals()

To compare against null, what should be used?

== or !=

To make an Integer out of an int, what should be used?

Integer myInteger = Integer.valueOf(myInt)

What is a linked list?

A data structure where each element has two fields: a link and contents

What is a link?

A pointer to the next element

What are contents of a linked list?

Something as simple as a number, or a pointer to another linked list

How does the constructing of a linked list work?

A linked list links new elements onto the front of the list.

What does the function (cons item list) do?

It makes a new list element containing item, and adds it to the front of list

What does the following linked list produce?

(cons 'a '(b c))

(a b c)

What are the two fields of a cons cell called?

car and cdr

In a Cons list, first and rest have different types. What are they?

First can be any Object type, while rest is a Cons or null

What does the following produce?

(rest (rest '((a b) c)))

null

With respect to linked lists, what does .set(idx, element) do?

Replaces the element at the specified position in this list with the specified element.

With respect to linked lists, what does the function length produce?

The number of "things" in the linked list

What is a "thing" concerning linked lists?

A simple item such as a number or string or a balanced pair of parenthesis and everything inside of them.

What does a recursive program do?

It calls itself as a subroutine.

What are base cases?

Simple inputs for which the answer is obvious and can be determined immediately.

What does the function reverse do to a linked list?

It makes a new linked list whose elements are in reverse order of the original list

What does the function append do to a linked list?

It concatenates two lists to form a single list.

What is a constructive function?

A function that creates a new list, but does not modify the original list's arguments

What does it mean for functions to share structure?

The same list structure is part of more than one list.

What is a destructive argument?

A function that creates a list but modifies the original list's arguments

What does the function nconc do?

It concatenates two lists to form a single list; it does so by modifying the end of the first list to point to the second list

What does the function nreverse do?

It reverses a list in place by turning the pointers around.

What does the function member do?

It tests whether a given item is an element of a list. It returns the remainder of the list beginning with the desired element

What is the output:

(member 'dick '(tom dick harry))

(dick harry)

What does the function Intersection do?

It returns a set of elements that are members of both sets

What is the output:

(intersection '(a b c) '(a c e))

(c a)

What does the function Union do?

It returns the set of elements that are members of either set (basically all elements with no duplicates)

What is a circularly linked list?

The last link points back to the front of the list rather than to null or nil

What is a doubly linked list?

It has pointers that point both forward and backward

What does the function merge do?

It combines two sorted lists into one sorted list

What does it mean to divide and conquer?

To break down a large problem into two smaller problems, until the problem becomes easy

What does the function assoc do?

It provides a simple lookup tool to find information in a linked list

What is an abstract data type?

a description of operations on a data type that could have multiple possible implementations.

What is an association list?

It is a list of pairs, where each pair has a key, and a value associated with the key

What is a Cons?

The function that constructs a pair of pointers

What does depth-first search do?

It searches children of a node before siblings are considered (through recursion)

What is design pattern?

a pattern that describes a set of similar programs

What is garbage?

it can be data that is incorrect, meaningless, or random, or storage that is no longer pointed to

What is an object?

a data structure that can be identified at runtime as a member of a class

What is a parent?

In a tree, it is a node that points to a given node

What is preorder?

a way of processing a tree where the parent node is processed before the children

What is random access?

describes a data structure in which all accesses have the same costs

What is a reference?

A pointer to data

What is a runtime stack?

a stack that keeps a fresh set of values for each variable in a stack frame

What is XML?

Extensible Markup Language, it allows users to put tags around their data to describe what the pieces of data mean

What is similar to people waiting in line?

A queue

What is the term for items being inserted at the end of a queue?

enqueued

What is the term for items being removed from the front of a queue?

dequeued

What is a fair data structure?

An entry in a queue will eventually get serviced and removed so a queue is fair

What will a filter function do?

Filter removes items from a Collection if they meet a certain condition

What are the advantages to ArrayList?

get and set are O(1), and add and remove at the end are O(1) so it makes a good stack

What are the disadvantages of ArrayList?

add and remove are O(N) for randoms, contains is O(N)

What are the advantages of LinkedList?

getFirst, addFirst, removeFirst, getLast, addLast, removeLast are all O(1)

What are the disadvantages of LinkedList?

get, set, and remove are O(N)

What is a tree?

A kind of graph composed of nodes and links

What is a link?

A directed pointer from one node to another

What is a root?

The uppermost node that has no incoming links

How many links does a node that isn't the root have coming into it?

Exactly one

How many children can a node have?

Any number

What is a node with no children called?

a leaf

What are the different representations of trees that we are concerned with for Novak's class?

Binary trees, First-Child/Next-sibling, Linked lists, Implicit

What is a binary tree?

A tree in which each node has at most two children

What is a First-Child / Next-Sibling Tree?

Down arrows represent the first child, while side arrows represent the next sibling

What is the best way to remember how to draw a FC/NS Tree?

The right hand nodes all fall down

What is the goal?

The item being sought in a search

What is inorder?

an order of processing a tree in which the parent node is processed in between its children

What does a sentinel node hold or reference?

nothing

state

a description of a state of a process, such as a board game

What is well-founded ordering?

ordering that can guarantee to terminate (go down to zero)

Abstract Data Type

a description of operations on a data type that could have multiple possible implemations

ASCII

A character code that maps between 8-bit binary integers and characters.

Base Case

a simple case that can be solved easily, without recursion.

binary search tree(BST)

...

child

in a tree, a node pointed to by a parent node.

class

in object-oriented programming, a description of a set of similar objects.

depth

the number of links between the root of a tree and the leaves.

descendants

all nodes below a given tree.

DFS

Depth first search

fair

describes a process in which every arriving customer will eventually be served.

first-child/next-sibling

a way of implementing trees that uses two pointers per node but can represent an arbitrary number of children of a node.

gedanken

describes a thought experiment or view of an entity.

immutable

describes a data structure that canot be changed once it has been created, such as Integer or String in Java.

interpreter

a program that reads instructions, determines what they say, and executes them. The CPU is an interpreter for machine languages; the JVM is an interpreter for compiled.

JVM

Java Virtual Machine

linear

O(n) a problem whose solution requires a linear amount of time or space if the problem is size n.

ancestors

in a tree, the union of a node's parent and the parent's ancestors.

array

A contiguous block of memory containing elements of the same type, accessed by numeric index.

association list

a list of pairs, where each pair has a key and a value associated with the key.

backtrack

in a tree search, to move back from the node from the node currently being examined to it's parent

Big O

an abstracted function that describes the amount of problem size. For problems lager than a certain time, the actual time or space required will be less than the Big O multiplied by some constant.

binary tree

a tree in which each node has at most two children.

boxed number

a number that is defined as an object, so that it has a runtime type and methods that can be used, e.g. Integer in Java

branching factor

in a search tree, the number of children of a given node.

circularly linked list

a linked list in which the last element points back to the first element.

circular queue

a queue implemented within an array, where the first element of the array logically follows the last element.

cons

in Lisp,the function that constructs a pair of pinters, or basic element of list structure. a cons structure. to make a cons data structure.

constructive

makes a new data structure but does not modify it's arguments.

depth-first search

a search in which children of a node are considered(recursively) before siblings are concerned.

dereference

to convert from a pointer (address) to the data that is pointed to.

descendants

all nodes below a given node in tree.

design pattern

a pattern that describes a set of similar programs

destructive

describes a function that modifies it's arguments

divide and conquer

a problem-solving strategy inwhich a problem is broken down into sub-problems, until simple subproblems are related.

doubly linked list

a linked list in which each element has both forward and backward pointers

FIFO

first item into the structure is the first one out.

filter

a process that removes unwanted elements from a collection.

garbage

data that is incorrect, meaningless, or random.

garbage collection

the process of collecting garbage for recycling

goal

an item, being sought in a search

grammar

a formal description of a language in terms of vocabulary and rules for writing phrases and sentences.

inorder

an order of processing a tree in which the parent node is processed between it's children.

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