midtermI1b-sol-2011

MidtermI1b-sol-2011 - Midterm I Part 1 – Version B Oct 10 2011 2:00pm 2:50pm CS431 CS531(Please circle one First Name(Print Last Name(Print UB ID

This preview shows pages 1–4. Sign up to view the full content.

This preview has intentionally blurred sections. Sign up to view the full version.

View Full Document

This preview has intentionally blurred sections. Sign up to view the full version.

View Full Document
This is the end of the preview. Sign up to access the rest of the document.

Unformatted text preview: Midterm I, Part 1 – Version B Oct. 10, 2011 2:00pm - 2:50pm CS431 CS531 (Please circle one) First Name (Print): Last Name (Print): UB ID number: 1. This is a closed book, closed notes exam. 2. You must support your answer. 3. Write your name on the top right-hand corner of every page. 4. There are 5 problems and 18 points. in this exam. Name 1. (4 points) Relate the following functions by using Θ ,ω or o notations: g 1 ( n ) = n/ log n , g 2 ( n ) = n 1 . 5 log n , g 3 ( n ) = 4 log 2 n . Answer: g 1 ( n ) = o ( g 2 ( n )) ,g 2 ( n ) = o ( g 3 ( n )) Proof: 1. lim n →∞ n/ log n n 1 . 5 log n = lim n →∞ 1 n . 5 log 2 n = 0 ⇒ n/ log n = o ( n 1 . 5 log n ) 2. lim n →∞ n 1 . 5 log n 4 log 2 n = lim n →∞ n 1 . 5 log n n 2 = lim n →∞ log n n . 5 = lim n →∞ 1 n · 1 ln 2 . 5 n- . 5 = lim n →∞ 2 ln 2 · 1 n . 5 = 0 ⇒ n 1 . 5 log n = o (4 log 2 n ) 1 Name 2 (3 points). Suppose that we have the following algorithm for solving the matrix multiplication problem. We divide each of the matricesproblem....
View Full Document

This note was uploaded on 02/27/2012 for the course CSE 431/531 taught by Professor Xinhe during the Fall '11 term at SUNY Buffalo.

Page1 / 6

MidtermI1b-sol-2011 - Midterm I Part 1 – Version B Oct 10 2011 2:00pm 2:50pm CS431 CS531(Please circle one First Name(Print Last Name(Print UB ID

This preview shows document pages 1 - 4. Sign up to view the full document.

View Full Document
Ask a homework question - tutors are online