Dynamic Programming (a) Find the grouping of the matrices that will minimize the number of operations to compute A1*A2*A3*A4. The sizes of the matrices are as follows; А1-2х1; А2—1x5; АЗ—5х2; А4-2х2 you just show the steps without the computations you get 4 points; you make errors in calculation you get 4 to 9 points. Completely correct answer is 10 points. (b) For the problems given below, determine whether it is more efficient to use a divide and conquer strategy or a dynamic programming strategy. Give the recursion formula for each. 4. If If i. Find the average of a given set of unsorted numbers. ii. Find whether there is a subset of integers in a given set that adds upto 8 iii. Given a set of numbers, can they set be partitioned into two groups such that the sum of each group is equal; i.e 1,5,11,5 can be partitioned to 1,5,5 and 11 (c) State the difference between divide and conquer and dynamic pro- gramming.

Database System Concepts
7th Edition
ISBN:9780078022159
Author:Abraham Silberschatz Professor, Henry F. Korth, S. Sudarshan
Publisher:Abraham Silberschatz Professor, Henry F. Korth, S. Sudarshan
Chapter1: Introduction
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Dynamic Programming
(a) Find the grouping of the matrices that will minimize the number of
operations to compute A1*A2*A3*A4. The sizes of the matrices are
as follows;
A1=2x1; A2=1x5; A3=5x2; A4=2x2
If you just show the steps without the computations you get 4 points;
If you make errors in calculation you get 4 to 9 points. Completely
correct answer is 10 points.
(b) For the problems given below, determine whether it is more efficient to
use a divide and conquer strategy or a dynamic programming strategy.
4.
Give the recursion formula for each.
Find the average of a given set of unsorted numbers.
Find whether there is a subset of integers in a given set that adds
i.
ii.
upto 8
Given a set of numbers, can they set be partitioned into two
groups such that the sum of each group is equal; i.e 1,5,11,5 can
be partitioned to 1,5,5 and 11
111.
(c) State the difference between divide and conquer and dynamic pro-
gramming.
Transcribed Image Text:Dynamic Programming (a) Find the grouping of the matrices that will minimize the number of operations to compute A1*A2*A3*A4. The sizes of the matrices are as follows; A1=2x1; A2=1x5; A3=5x2; A4=2x2 If you just show the steps without the computations you get 4 points; If you make errors in calculation you get 4 to 9 points. Completely correct answer is 10 points. (b) For the problems given below, determine whether it is more efficient to use a divide and conquer strategy or a dynamic programming strategy. 4. Give the recursion formula for each. Find the average of a given set of unsorted numbers. Find whether there is a subset of integers in a given set that adds i. ii. upto 8 Given a set of numbers, can they set be partitioned into two groups such that the sum of each group is equal; i.e 1,5,11,5 can be partitioned to 1,5,5 and 11 111. (c) State the difference between divide and conquer and dynamic pro- gramming.
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