# Consider the following multithreaded pseudocode for the Matrix Chain Multiplication problem…

Consider the following multithreaded pseudocode for the Matrix Chain Multiplication problem (based on the single-thread example looked at in class): Input : dimensions d[0…] Output: minimum number of multiplications Let M[1…n][1..n] be an empty table for j=1 to n do M]L]+0 for s = s=1 to n – 1 do parallel for i = 1 to n – s do M[i][i+s] + M[i][i] + M[i+1][i + s] + d(i – 1).d[i] – d[i+s] for k= i +1 to its – 1 do if M[i][i+s] > M[i][b] + M[k+1][i+s] + d(i – 1] – d[ki] – d[i+s] then | Milli +s] + M[i][k] + M[k + 1][i+s] + d(i – 1] .d[k].d[i+s] return M[1][n] On Assignment 9, we considered why the loop on i was the only one that could be made into a parallel for loop. However, the computation being done by the loop on k can be done in parallel, but would need to be restructured to be done by a divide-and-conquer routine. (a) Redesign this algorithm to also parallelize the body of the loop on i (which in- cludes the loop on k), as described above. Your resulting algorithm should have span (n log n). (b) Prove that your redesigned algorithm has span (n logn). (c) What is the parallel slack, if there are p= log2 n processors? =

## Calculate the price of your order

550 words
We'll send you the first draft for approval by September 11, 2018 at 10:52 AM
Total price:
\$26
The price is based on these factors:
Number of pages
Urgency
Basic features
• Free title page and bibliography
• Unlimited revisions
• Plagiarism-free guarantee
• Money-back guarantee
On-demand options
• Writer’s samples
• Part-by-part delivery
• Overnight delivery
• Copies of used sources
Paper format
• 275 words per page
• 12 pt Arial/Times New Roman
• Double line spacing
• Any citation style (APA, MLA, Chicago/Turabian, Harvard)

# Our guarantees

Delivering a high-quality product at a reasonable price is not enough anymore.
That’s why we have developed 5 beneficial guarantees that will make your experience with our service enjoyable, easy, and safe.

### Money-back guarantee

You have to be 100% sure of the quality of your product to give a money-back guarantee. This describes us perfectly. Make sure that this guarantee is totally transparent.

### Zero-plagiarism guarantee

Each paper is composed from scratch, according to your instructions. It is then checked by our plagiarism-detection software. There is no gap where plagiarism could squeeze in.

### Free-revision policy

Thanks to our free revisions, there is no way for you to be unsatisfied. We will work on your paper until you are completely happy with the result.