In the Activity Selection Problem, there are many ways to design a Greedy Algorithm. In the textbook, you saw how this Greedy Algorithm guaranteed an optimal solution: choose the activity with the earliest finish time, eliminate all activities that conflict with that choice, and then repeat these steps on the activities that are remaining. Here are five other ways we can design the choice function of our Greedy Algorithm. A. Choose the activity with the latest finish time B. Choose the activity with the earliest starting time C. Choose the activity with the latest starting time D. Choose the activity with the shortest duration E. Choose the activity with the longest duration One of these five Greedy Algorithms guarantees an optimal solution, while the other four do not. Determine which of these Greedy Algorithms is optimal. Answer one of A, B, C, D, or E.

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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In the Activity Selection Problem, there are many ways to design a Greedy Algorithm.
In the textbook, you saw how this Greedy Algorithm guaranteed an optimal solution: choose the activity with the
earliest finish time, eliminate all activities that conflict with that choice, and then repeat these steps on the activities
that are remaining.
Here are five other ways we can design the choice function of our Greedy Algorithm.
A. Choose the activity with the latest finish time
B. Choose the activity with the earliest starting time
C. Choose the activity with the latest starting time
D. Choose the activity with the shortest duration
E. Choose the activity with the longest duration
One of these five Greedy Algorithms guarantees an optimal solution, while the other four do not.
Determine which of these Greedy Algorithms is optimal. Answer one of A, B, C, D, or E.
Transcribed Image Text:In the Activity Selection Problem, there are many ways to design a Greedy Algorithm. In the textbook, you saw how this Greedy Algorithm guaranteed an optimal solution: choose the activity with the earliest finish time, eliminate all activities that conflict with that choice, and then repeat these steps on the activities that are remaining. Here are five other ways we can design the choice function of our Greedy Algorithm. A. Choose the activity with the latest finish time B. Choose the activity with the earliest starting time C. Choose the activity with the latest starting time D. Choose the activity with the shortest duration E. Choose the activity with the longest duration One of these five Greedy Algorithms guarantees an optimal solution, while the other four do not. Determine which of these Greedy Algorithms is optimal. Answer one of A, B, C, D, or E.
Consider the following array of twelve numbers: [6,5,6,5,1,7,7,5,1,5,7,3]
For each of these twelve numbers, you may highlight them in dark red. You may highlight as many numbers as you
wish.
The only rule is that you are not allowed to highlight two adjacent numbers. In other words, if you highlight A[i], you
cannot highlight A[i-1] or A[i+1].
Add up the numbers you've highlighted to produce your total score.
For example, [6,5,6,5,1,7,7,5,1,5,7,3] gives me a total score of 6+6+1+7+1+3 = 24.
Can you do better?
Determine the maximum possible score.
Transcribed Image Text:Consider the following array of twelve numbers: [6,5,6,5,1,7,7,5,1,5,7,3] For each of these twelve numbers, you may highlight them in dark red. You may highlight as many numbers as you wish. The only rule is that you are not allowed to highlight two adjacent numbers. In other words, if you highlight A[i], you cannot highlight A[i-1] or A[i+1]. Add up the numbers you've highlighted to produce your total score. For example, [6,5,6,5,1,7,7,5,1,5,7,3] gives me a total score of 6+6+1+7+1+3 = 24. Can you do better? Determine the maximum possible score.
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