The search Tree ADT Binary Search Trees
Binary Search Trees
1. Definition
DefinitionA binary search tree is a binary tree. It may be
(1)
(2)
(3)
(4)
empty. If it is not empty, it satisfies the following properties:
Every node has a key which is an integer
CS130A Homework 1
Due 2017-01-30 by 11:59PM
1) UCSB has bylaws that state that instructors cannot post grades in a public venue with
your perm number as an identifying code (or name, or email.). Consequently, we need
a way to distinguish each of you that
130A: Amortized Analysis
Subhash Suri
Computer Science Department
Applied Algorithms Group
Algorithms, Complexity, Data Structures, Optimization
February 17, 2015
Subhash Suri (UCSB)
CS 130A
February 17, 2015
1 / 19
What is Amortized Analysis?
Amortize: t
Recurrence Relations
Recurrence Relations
A recurrence relation is an equation which
is defined in terms of itself.
Many algorithms, particularly divide and
conquer algorithms, have time complexities
which are naturally modeled by recurrence
relations
E
The Shortest Path problem
I
Given graph and a vertex s find shortest paths from s to all other
vertices.
I
Map routing, robot navigation, urban traffic planning
I
Optimal pipelining of VLSI chip
I
Routing of telecommunication messages
I
Network routing pr
Makefiles
Provide a way for separate compilation.
Describe the dependencies among the project files.
The make utility.
Using makefiles
Naming:
makefileorMakefilearestandard
othernamecanbealsoused
Running make
make
make f filename if the name of your
Range Searching
Data structure for a set of objects (points,
rectangles, polygons) for ecient range
queries.
Y
Q
X
Depends on type of objects and queries.
Consider basic data structures with broad
applicability.
Time-Space tradeo: the more we
preproces
Bonus1: Web Browser Simulation
Value: 1 Point
Time Limit: 1 Second
Memory Limit: 32768 KB
Standard web browsers contain features to move backward and forward among the pages
recently visited. One way to implement these features is to use two stacks to kee
Bonus 3: Attack of Panda
Value: 4 Points
Time Limit: 3 Second
Memory Limit: 32768 KB
In 2007, a computer virus spread across networks in China. The virus came with
an icon of a lovely panda, hence the name Panda virus. What makes this virus difficult
to h
[email protected]
TA: , [email protected]
project :
ftp:/ds_student:[email protected]
4.4 AVL Trees
Target : Speed up searching (with insertion
and deletion)
root
Tool : Binary search
trees
small
large
Problem : Although Tp = O( height ), but the
CHAPTER
5
PRIORITY QUEUES (HEAPS)
delete the element with the highest \ lowest priority
5.6 Leftist Heaps
1. Structure Property:
A structural property, an ordering property
Definition the null path length Npl(X) is the length of the shortest
path from a
CHAPTER
5
PRIORITY QUEUES (HEAPS)
delete the element with the highest \ lowest priority
5.1 ADT Model
Objects: A finite ordered list with zero or more elements.
Operations:
PriorityQueue Initialize( int MaxElements );
void Insert( ElementType X, Priori
Project 2:
Binary Search Trees
This project requires you to implement operations on unbalanced binary search trees,
AVL trees, and splay trees. You are to analyze and compare the performances of a
sequence of insertions and deletions on these search tree
Programming Assignment # 1
Posted on Mon, Apr 25, due Mon, May 9
CS 130A Data Struc & Alg
Hashing is very useful if we are only interested in insert, delete, and find operations; e.g.,
delete (10) or insert (5) or find (100). But a hash table provides no
Bonus 2: Jumping the Queue
Value: 3 Point
Time Limit: 1 Second
Memory Limit: 32768 KB
The beginning of a winter break near Spring Festival is always the beginning of a
peak period of transportation. If you have ever tried to get a train ticket at that tim