COT 5407 U01/RXA - INTRODUCTION TO ALGORITHMS - FALL 2015
Quiz 02
Advanced Design and Analysis Techniques
Allan Manamel | Panther ID : 5700508
12/3/2015
Q1. Show how to compute the length of an LCS us
Chapter 13: Red-Black Trees
A red-black tree is a node-colored BST.
Each node is colored either black or red. The
following special rules apply:
1. The root is always black.
2. A nil is considered to
Recurrence: Solve, Prove, Ruminate.
Chris Brown
September 14, 2005
1
The problem
Solve
T (0) = 0
T (n) =
1 n1
T (i) + cn, n > 0.
n i=0
Prove your answer. What is the asymptotic order of T (n)? What ca
CBs Answers, Asst. 2
CSC 172 8 Sept. 1997
Read the handout on Mathematical Preliminaries. 1. How many different 5-card draw poker hands may be dealt from a 52 card deck? 52 choose 5, or , or
2. How ma
Example of Inserting Sorted Numbers
x 1 2 3 4 5 6 7 8 9 10
1 Insert 1. A leaf so red. Realize it is root so recolor to black.
1
1
Insert 2
make 2 red. Parent is black so done. 1 2
2
Insert 3
1 Insert
Order Statistics
Many of the slides are from Prof. Plaisteds resources at University of North Carolina at Chapel Hill
Order Statistic
Selection Problem
Selection problem:
Input: A set A of n distinc
Chapter 9: Medians and Order Statistics
The selection problem is the problem of
computing, given a set A of n distinct
numbers and a number i, 1 i n, the ithh
order statistics (i.e., the ith smallest
Universal Hashing
Suppose that a situation in which an
application that employs hashing is repeatedly
executed and in which the hash function is
selected from a pool of hash functions at
each executio
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COT5407 Fall 2006 Quiz #1
Instructor: Tao Li
September 7th, 2006
Student ID:
Name:
1. Let R be the binary relation over the set of real number, dened by
(A, B) R A is a proper subset of B.
For each of
A Comparison of Dictionary Implementations
Mark P Neyer April 10, 2009
1
Introduction
A common problem in computer science is the representation of a mapping between two sets. A mapping f : A B is a f
MST
Many of the slides are from Prof. Plaisteds resources at University of North Carolina at Chapel Hill
Motivation: Minimum Spanning Trees
To minimize the length of a connecting network, it never pa
Elementary Sorting Algorithms
Many of the slides are from Prof. Plaisted's resources at University of North Carolina at Chapel Hill
Sorting Definitions
Input: n records, R1 . Rn , from a file. Each r
COT-5407-U01: Introduction to Algorithms
Florida International University
Assignment #1
Monday, February 1, 2016
Problem Set 1
This Problem Set as a warm-up is intended to help students master the cou
COT-5407-U01: Introduction to Algorithms
Florida International University
Assignment #2
Friday, February 19, 2016
Summary Report
Preparing a summary report is an efficient way for learning the literat
COT-5407-U01: Introduction to Algorithms
Florida International University
Assignment #3
Friday, March 11, 2016
Problem Set 3
This Problem Set is intended to help students master the course material in
COT-5407-U01: Introduction to Algorithms
Florida International University
Assignment #4
Friday, April 08, 2016
Problem Set 4
This Problem Set as a warm-up is intended to help students master the cours
Fibonacci numbers
Fibonacci numbers:
0, 1, 1, 2, 3, 5, 8, 13, 21,
34, .
where each number is the sum of the
preceding two.
Recursive definition:
F(0) = 0;
F(1) = 1;
F(number) = F(number-1)+ F(num