Week 04
115MSE Motion in Time and Space
Lecture 4.14.2
Tutorial 4: Work, Energy and
Conservation of Mechanical Energy
(read the notes whenever possible this time and have questions ready for tutorial.)
1
Exercises L4.1
1. A child weighting 400 newtons is
Michael A. Bender CSE 548 Analysis of Algorithms, Fall 2010 Assignment #1 Tuesday, October 5, 2010
Problem 1 For the following C codes, find the time-complexity by first finding the recurrence relation and then simplifying the recurrence. (1) int blah(int
CSE 373 Analysis of Algorithms Michael A. Bender
Midterm Exam March 19, 2002
Name:
ID #:
INSTRUCTIONS This is a closed book, closed notes exam. YOU MUST USE PEN, NOT PENCIL. Check to see that you have 10 pages including this cover and scratch pages. Look
CSE548/AMS542 Fall 2013 Analysis of Algorithms
Jie Gao
August 29, 2013
Due September 12th midnight. Each problem, unless specied otherwise, has a maximum of 10
points. Avoid too many details. A succinct and clean proof is the best. You may use the algorit
Stony Brook University, Computer Science Department
CSE 548 Analysis Of Algorithms
Homework Two
Tadrash Shah
109362654
[email protected]
October 20, 2013
1. Problem 1
Textbook [Kleinberg & Tardos] Chapter 3, Page 112, Problem 12
Answer : It is t
2/1/14
CSE 378/525 Introduction
to Robotics
Instructor: Dimitris Samaras
Tue-Thu 4:00-5:20
Computer Science 2311
The Origins of Robots
~1250
1640
Bishop Albertus Magnus holds banquet at which
guests were served by metal attendants. Upon
seeing this, Saint
CSE 548: Analysis of Algorithms
Lectures 10 & 11
( Generating Functions )
Rezaul A. Chowdhury
Department of Computer Science
SUNY Stony Brook
Spring 2014
An Impossible Counting Problem
Suppose you went to a grocery store to buy some fruits. There are
some
CSE 548: Analysis of Algorithms
Lecture 2
( Divide-and-Conquer Algorithms:
Integer Multiplication )
Rezaul A. Chowdhury
Department of Computer Science
SUNY Stony Brook
Spring 2015
Tromino Cover
A right tromino is an L-shaped tile
formed by three adjacent
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CSE 548: Analysis of Algorithms
Lecture 5
( Divide-and-Conquer Algorithms:
Polynomial Multiplication ( Continued ) )
Rezaul A. Chowdhury
Department of Computer Science
SUNY Stony Brook
Spring 2014
Faster Polynomial Multiplication?
( in Coefficient Form )
D EPARTMENT OF C OMPUTER S CIENCE AT S TONY B ROOK U NIVERSITY
Assignment 1
September 8, 2015
1 P ROBLEM 2
1. Assume you have functions f and g such that f(n) is O(g(n). For each of the following
statements, decide whether you think it is true or false an
CSE548/AMS542 Fall 2015 Analysis of Algorithms
Jie Gao
August 28, 2015
Due September 10th midnight. Each problem, unless specied otherwise, has a maximum of 10
points. Avoid too many details. A succinct and clean proof is the best. You may use the algorit
CSE 548: Analysis of Algorithms
Lectures 7 & 8
( Divide-and-Conquer Algorithms:
Akra-Bazzi Recurrences )
Rezaul A. Chowdhury
Department of Computer Science
SUNY Stony Brook
Spring 2014
Deterministic Select
Input: An array A[ ] : of distinct elements, and
CSE 548: Analysis of Algorithms
Lecture 7
( Divide-and-Conquer Algorithms:
Akra-Bazzi Recurrences )
Rezaul A. Chowdhury
Department of Computer Science
SUNY Stony Brook
Spring 2014
Deterministic Select
Input: An array A[ ] : of distinct elements, and integ
CSE548, AMS542: Analysis of Algorithms, Fall 2016
Date: Nov 12
Homework #3
( Due: Nov 28 )
Task 1. [ 80 Points ] Randomization in Binomial Heaps
Consider the following way of modifying a binomial heap with lazy union to support Decrease-Key
operations. Wh
CSE 548: Analysis of Algorithms
Lectures 19 & 20
( Randomized Algorithms
& High Probability Bounds )
Rezaul A. Chowdhury
Department of Computer Science
SUNY Stony Brook
Spring 2014
Markovs Inequality
Theorem 1: Let be a random variable that assumes only
CSE 548: Analysis of Algorithms
Lectures 17 & 18
( Dijkstras SSSP & Fibonacci Heaps )
Rezaul A. Chowdhury
Department of Computer Science
SUNY Stony Brook
Spring 2014
Fibonacci Heaps
( Fredman & Tarjan, 1984 )
A Fibonacci heap can be viewed as an extension
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CSE 548: Analysis of Algorithms
Assignment 1 (March 17th 2016)
Due date and time: March 30st 15:30p.m.
Submit in class (handwritten hardcopy).
1. The Fibonacci numbers are defined by the rule
= 1 + 2
with 0 = 0 and 1 = 1
(a) Formulate the recurrence rela
CSE 548 Analysis of Algorithms
Assignment 2 (April. 1th 2016)
MIDTERM NOTICE: April 18th, 2016 2:00 pm-3:30 pm
Due date and time: April 11th 3:30pm in class.
Submit a hard handwritten copy of your assignment at the beginning of the class.
1. Randomized Al
CSE 548 Analysis of Algorithms
Assignment 4 (May 3rd 2016)
Due date and time: May 16th 3:00pm
Submit at the start of the class (hardcopy).
1. You have a crew of interns working for you. Describe a data structure that helps you to manage your interns.
The
1
Original Problem
There are 100 monks on an island. Each monk has either blue or brown eyes.
They have all sworn to throw themselves off the tallest tower at midnight on the
night they find out they have blue eyes. However all the monks have taken a
vow
CSE 548: Analysis of Algorithms
Lecture 5
( Divide-and-Conquer Algorithms:
Polynomial Multiplication ( Continued ) )
Rezaul A. Chowdhury
Department of Computer Science
SUNY Stony Brook
Spring 2015
Faster Polynomial Multiplication?
( in Coefficient Form )
CSE 548: Analysis of Algorithms
Lectures 7, 8 & 9
( Divide-and-Conquer Algorithms:
Akra-Bazzi Recurrences )
Rezaul A. Chowdhury
Department of Computer Science
SUNY Stony Brook
Spring 2015
Deterministic Select
Input: An array A[ ] : of distinct elements, a