{[ promptMessage ]}

Bookmark it

{[ promptMessage ]}

HW11 - of the computation(The number of processors should...

Info iconThis preview shows page 1. Sign up to view the full content.

View Full Document Right Arrow Icon
Fall Semester 2008 CS300 Algorithms Homework #11 (due 12/18) 1. High school students have taken the college entrance exam. Using n processors write a CREW PRAM algorithm to count the number of students who marked below the average in O (log n ) time, where n is the total number of students. 2. Let the two Boolean matrices be A and B , and let the Boolean matrix product of A and B be C , then c ij is defined as ∧ n k =1 a ik ∨ b kj . Show that the Boolean matrix product of two n × n Boolean matrices can be computed in constant time by a Priority-Write or Common-Write PRAM. Specify the number of processors needed and the number of steps
Background image of page 1
This is the end of the preview. Sign up to access the rest of the document.

Unformatted text preview: of the computation. (The number of processors should be bounded by a polynomial in n .) 3. The vector V and W is defined like below. V = { v 1 ,v 2 , ··· ,v n } W = { w 1 ,w 2 , ··· ,w n } We can say that the V is stronger than W , if the number of elements in V such that v i ≥ w i , (1 ≤ i ≤ n ) is more than b n/ 2 c . Using n processors, design the algorithm that determines which vector is stronger. Then analyze the complexity of your algorithm. 1...
View Full Document

Report

{[ snackBarMessage ]}