1. a. Apply the bottom-up dynamic programming algorithm to the following instance of the knapsack problem: item 1 23 45 weight 3 2 1 4 5 value $25 $20 $15 $40 $50 capacity W = 6. b. How many different optimal subsets does the instance of part (a) have? c. In general, how can we use the table generated by the dynamic program- ming algorithm to tell whether there is more than one optimal subset for the knapsack problem's instance?

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
Section: Chapter Questions
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1. a. Apply the bottom-up dynamic programming algorithm to the following
instance of the knapsack problem:
item
1
2
3
4
5
weight
3
2
1
4
5
value
$25
$20
$15
$40
$50
capacity W = 6.
b. How many different optimal subsets does the instance of part (a) have?
c. In general, how can we use the table generated by the dynamic program-
ming algorithm to tell whether there is more than one optimal subset for
the knapsack problem's instance?
Transcribed Image Text:1. a. Apply the bottom-up dynamic programming algorithm to the following instance of the knapsack problem: item 1 2 3 4 5 weight 3 2 1 4 5 value $25 $20 $15 $40 $50 capacity W = 6. b. How many different optimal subsets does the instance of part (a) have? c. In general, how can we use the table generated by the dynamic program- ming algorithm to tell whether there is more than one optimal subset for the knapsack problem's instance?
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