Dynamic Programming for the
Ruler Folding Problem
Lecture 23, part b
Monday, October 26
Ruler Folding Problem
[Hopcroft, Joseph, Whitesides], robotics context, 1981
input: integer lengths l1, ln of th
DNA Algorithms for 3-SAT
Presented by
Sardar Anisul Haque
Presentation Outline
Backtracking procedure
Breadth first procedure
Estimating tree size by backtracking procedure
3-SAT problem
DPLL algorith
UNIVERSITY OF VICTORIA
EXAMINATIONS DECEMBER 2003
COMPUTER SCIENCE 225 (F01)
NAME:
INSTRUCTOR: Frank Ruskey
.
STUDENT NO.
SECTION: F01
DURATION: 3 Hours
TO BE ANSWERED ON THE PAPER
STUDENTS MUST COUNT
Chapter 3
Backtracking
3.1
Introduction
Backtracking is a very general technique that can be used to solve a wide variety of problems
in combinatorial enumeration. Many of the algorithms to be found i
mcs 2015/12/20 1:29 page i #1
Mathematics for Computer Science
revised Sunday 20th December, 2015, 01:29
Eric Lehman
Google Inc.
F Thomson Leighton
Department of Mathematics
and the Computer Science a
UNIVERSITY OF VICTORIA
EXAMINATIONS AUGUST 2006
COMPUTER SCIENCE 225 (K01)
NAME:
INSTRUCTOR: Frank Ruskey
.
STUDENT NO.
SECTION: F01
DURATION: 3 Hours
TO BE ANSWERED ON THE PAPER
STUDENTS MUST COUNT T
UNIVERSITY OF VICTORIA
EXAMINATIONS DECEMBER 2003
COMPUTER SCIENCE 225 (F01)
NAME: I.M. Solution
INSTRUCTOR: Frank Ruskey
.
STUDENT NO. 00000000
SECTION: F01
DURATION: 3 Hours
TO BE ANSWERED ON THE PA
10/19/2016
CSC 226
Algorithms and Data Structures: II
Fall 2016
Rich Little
1
Pseudocode: Kruskals
Algorithm
Algorithm KruskalMSTNaive(G = (V,E)
1. sort edges in E according to weight
2. Initialize ET
9/28/2016
CSC 226
Algorithms and Data Structures: II
Fall 2016
Rich Little
1
Red-Black Trees
Balanced binary search tree
A different representation of 2-3 tree
Definition: Red-Black Tree
A red-black t
11/20/2016
Network Flow
Network Flow (Definitions)
A flow network is an edge-weighted, directed graph with positive
edge weights, called capacities (capacities of non-existing edges
are zero)
An st-fl
10/16/2016
CSC 226
Algorithms and Data Structures: II
Fall 2016
Rich Little
1
Abstract Meaning of the Term Graph
A graph G = (V, E) is a set V of vertices (nodes) and
a collection E of pairs from V,
1
Sorting
The utility of sorting algorithms is well recognized. For many algorithms and applications
the most time-consuming portion is that spent on sorting, and so much effort has gone
into discover
37
cfw_ program part 6.1
find the largest and smallest number in a given list
,ther
,ents
, are
arooram minmaxcfw_input, output):
Le.o.ti.
canst
Irize
~
an
type
'iler
;8 of
:ode.
; the
18 of
, and
ma
CSC 226 FALL 2016
ALGORITHMS AND DATA STRUCTURES II
ASSIGNMENT 1 - WRITTEN
UNIVERSITY OF VICTORIA
1. Consider the insertion of items with the following keys (in the given order) into an initially empt
CSC 226 FALL 2016
ALGORITHMS AND DATA STRUCTURES II
ASSIGNMENT 4 - WRITTEN
UNIVERSITY OF VICTORIA
1. Write a pseudocode description of the printLCS() algorithm, which prints the longest common
subsequ
CSC 226 FALL 2016
ALGORITHMS AND DATA STRUCTURES II
ASSIGNMENT 1 - PROGRAM
UNIVERSITY OF VICTORIA
1 Programming Assignment
The assignment is to design and implement the LinearSelect algorithm and comp
Lab 8 : Exercise
on Finding Paths
Zhuoli Xiao
Use Dijkstra to find distances from node A to all the
other edges.(E1.)
Use Bell-Fordman to find distances from node A to all
the other edges.(E1.)
What a
Implementation of BFS
In this lab, we will implement BFS together. There is a lot of applications of BFS.
For example, in course slides, BFS is used to compute a spanning tree of a given
graph. In our
Lab 7: MST and
Heap
Zhuoli Xiao
MST
A minimum spanning tree (MST) or minimum
weight spanning tree is a subset of the edges of a
connected, edge-weighted undirected graph that
connects all the vertices
Lab 10: Final
Review
Zhuoli Xiao
Topics After Midterm
Minimum Spanning Tree
Union-Find and Quick Union-Find
Prim and Boruvka
Single Path Shortest Path
All Pairs Shortest Path
Longest Common Subsequenc
Lab 3: About
Assignments
Zhuoli XIao
Code
From Last Lab
private static int quickSelect(int left,int right, int[] array, int k)cfw_
if (left>=right)cfw_
return array[left];
int p=pickRandomPivot(left,
Principle of Mathematical Induction
Let P (n) be a proposition (true or false statement) involving an integer
n and suppose that we are trying to prove the following statement.
n 0, P (n)
Mathematical
10/10/2016
CSC 226
Algorithms and Data Structures: II
Fall 2016
Rich Little
1
Implementation of red-black
trees
The Sedgewick book has a nice implementation of
red-black trees
Search implementation fo
10/31/2016
CSC 226
Algorithms and Data Structures: II
Fall 2016
Rich Little
1
Quick-find [eager approach]
Data structure.
if and only if
Integer array id[] of length .
Interpretation: id[p] is the id
package ruskey;
import java.io.File;
import java.io.FileNotFoundException;
import java.util.*;
class BST cfw_
BST L,R;
int val,des;
BST( int v, int d ) cfw_ val = v;
des = d;
class CountBinarySearch
CSC 226 SUMMER 2017
ALGORITHMS AND DATA STRUCTURES II
ASSIGNMENT 4 - PROGRAM
UNIVERSITY OF VICTORIA
1 Programming Assignment
The assignment is to implement an algorithm to determine which teams in a s
CSC 225 - SPRING 2018
ALGORITHMS AND DATA STRUCTURES I
PROGRAMMING ASSIGNMENT 1
UNIVERSITY OF VICTORIA
1
Programming Assignment
The span si of a stocks price on a certain day i is the maximum number o