UofTorontoECE 345Fall, 2016
1
Course Information
Course Information
ECE 345 Algorithms and Data Structures
University of Toronto
Dept. of Electrical and Computer Engineering
Fall Semester, 2016
Welcome to ECE-345! Algorithms today play an important role i
UofTorontoECE 345Fall, 2016
1
Homework 2
Homework 2
ECE 345 Algorithms and Data Structures
Fall Semester, 2016
Due: Friday October 14, 2016, 3PM
All page numbers are from 2009 edition of Cormen, Leiserson, Rivest and Stein.
For each algorithm you asked
UofTorontoECE 345Fall, 2012
1
Homework 2
Homework 2
ECE 345 Algorithms and Data Structures
Fall Semester, 2012
Due: October 12, 2012, in-class
All page numbers are from 2001 edition of Cormen, Leiserson, Rivest and Stein.
For each algorithm you asked to
Solutions 1
Some solutions are only sketches: you should be able to ll in the details. Note again that if you
are asked to prove NP-completeness the rst thing you must do is prove membership of NP. As
this is normally very easy, I have not, apart from the
Solutions 2
Some solutions are only sketches: you should be able to ll in the details. Note again that if
you are asked to prove NP-completeness the rst thing you must do is prove membership of
NP. As this is normally very easy, it is omitted here.
Questi
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15-451 Algorithms
9/22/04
RECITATION NOTES
=
The plan for today is to do some amortized analysis plus practice for
the quiz
Introduction to Algorithms
Massachusetts Institute of Technology
Professors Erik Demaine and Shafi Goldwasser
March 19, 2004
6.046J/18.410J
Handout 15
Problem Set 4
This problem set is due in recitation on Friday, March 19.
Reading: Chapters 30.1-30.2, 11
Lecture 1
Timo Aho
OHJ-2156 Analysis of Algorithms, 20112012
TUT
OHJ-2156 Analysis of Algorithms
20112012 P3P4 Lecture Slides
Timo Aho
Tampere University of technology
Department of Software Systems
May 11, 2012
Timo Aho
OHJ-2156 Analysis of Algorithms, 2
#
Signup and get free access to 100+ Tutorials and Practice Problems
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" Notes
! Heaps and Priority Queues
90
Code Monk
Heap
Heapsort
Priority-queue
Heaps:
A heap is a specic tree based data structure in which all the nodes of tree are in a specic
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Johnsons algorithm for All-pairs shortest paths
The problem is to find shortest paths between every pair of vertices in a given weighted directe
Introduction to Algorithms
Massachusetts Institute of Technology
Professors Erik Demaine and Shafi Goldwasser
February 24, 2004
6.046J/18.410J
Handout 7
Problem Set 3
Reading: Chapters 8.1-8.3, 31.1-31.5, 31.7-31.8
There are four problems. Each problem is
CS 3510 Honors Algorithms
Solutions : Homework 6
Problem 1: The algorithm is very similar to the Huffman code that we have
seen in the class. Pick the smallest three frequencies, join them together and
create a node with the frequency equal to the sum of
Professor Kindred
Math 104, Graph Theory
Homework 10 Solutions
April 25, 2013
Introduction to Graph Theory, West
Section 7.2 10, 26, 38
Schurs theorem
Section 8.3 17, 22
monotone
problem
Problems you should be able to do: 7.2.14, 5.1.43, subsequences
DO N
Algorithm Design and Analysis
Victor Adamchik
CS 15-451
Lecture 13
Feb 12, 2014
Spring 2014
Carnegie Mellon University
The Shortest Path Problem
Graph Algorithms - 3
The Shortest Path Problem
Given a positively weighted graph G with a source
vertex s, fin
Upper bound on the number of ternary
square-free words
Pascal Ochem and Tony Reix
LaBRI, Universite Bordeaux 1
351 cours de la Liberation
33405 Talence Cedex, France
[email protected][email protected]
Abstract
Let tn be the number of words of length n in a
Table of Contents
Introduction
1.1
1 The Role of Algorithms in Computing
1.2
1.1 Algorithms
1.2.1
1.2 Algorithms as a technology
1.2.2
Problems
1.2.3
2 Getting Started
1.3
2.1 Insertion sort
1.3.1
2.2 Analyzing algorithms
1.3.2
2.3 Designing algorithms
1.
UofTorontoECE 345Fall, 2014
1
Course Information
Course Information
ECE 345 Algorithms and Data Structures
University of Toronto
Dept. of Electrical and Computer Engineering
Fall Semester, 2014
Welcome to ECE-345! Algorithms today play an important role i
OHJ-2156 Analysis of Algorithms, handout
Analysis of Algorithms
20112012
Lecture handout
Henri Hansen
Timo Aho
February 17, 2012
Foreword
This handout is for the lectures of OHJ-2156, and it
is not intended as the only material for the course.
They origin
Solutions for Practice Test 1
MA 522 Fall 2014
1. Correctness of Selection-Sort
The following short pseudo-code is a sorting algorithm that selects the
smallest element in subarrays of A.
S ELECTION -S ORT (A)
2
n := length(A)
3
for j = 1 to n 1
4
smalles
Solutions for Homework 2
MA 522 Fall 2014
1. Textbook, page 43/ 2.10 (i)
P
Let R be a ring (commutative, with 1) and a = ni=0 ai xi R[x] of degree n, all ai R. The
weight w(a) of a is the number of nonzero coefficients of a besides the leading coefficient
Lecture Note 05
EECS 4101/5101
Instructor: Andy Mirzaian
SKEW HEAPS:
Self-Adjusting Heaps
In this handout we describe the skew heap data structure, a self-adjusting form of heap
related to the leftist heap of Crane and Knuth. Skew heaps, in contrast to le
# ECE345-algorithm-and-data-structure
<h4>The code in this repository are my solutions for ECE345 labs and Assignments
at the University of Toronto. Please do not use it for your own course work,
thank you.</h4>
<ul>
<li>Bonus assignment</li>
<p>You are g
<html><head><style type="text/css"></style><style></style></head><body><pre style="word-wrap:
break-word; white-space: pre-wrap;">Tutorial 8: Amortized analysis
=
For this tutorial, go through two examples of amortized analysis.
(1) the PUSH/MULTIPOP exam
Templates
Generic Programming
ECE 297
Templates
A way to write code once that works for
many different types of variables
float, int, char, string, List, Vector,
Reference: Problem Solving in C+ by
Savitch, Chapter 17
2
Template Functions
Types & Func
More STL Container Classes
ECE 297
Last Time
Templates
Functions
Classes
template<typename VariableType>
void swap_val (VariableType &a, VariableType &b)
cfw_
VariableType temp;
temp = a;
a = b;
b = temp;
int main() cfw_
int a = 1;
int b = 2;
swap_val
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CSC 236
Tutorial Solutions for Week 3
Winter 2012
=
1.
A "complete binary tree" is a binary tree in which every node has two
Massachusetts Institute of Technology
6.046J/18.410J: Introduction to Algorithms
Professors Piotr Indyk and Madhu Sudan
Handout 8
February 15, 2001
Problem Set 1 Solutions
Problem 1-1.
Ranking Functions by Order of Growth
The ranking is based on the follo
Algorithms and Data Structures (ECE 345)
Issued on: March 23rd, 2017
Due on: April 10th, 2017
A SSIGNMENT 4
E XERCISE 1 Dynamic Programming, 15 points
Elon Musk is building a prototype Hyperloop line that travels through cities X = x1 , x2 , ., xn in that
University of Toronto
Department of Electrical and Computer Engineering
Final Examination
ECE 345 Algorithms and Data Structures
Fall 2016
Print your first name, last name, UTORid, and student number neatly in the space provided below; print your
name at