Please explain 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.

C++ Programming: From Problem Analysis to Program Design
8th Edition
ISBN:9781337102087
Author:D. S. Malik
Publisher:D. S. Malik
Chapter12: Points, Classes, Virtual Functions And Abstract Classes
Section: Chapter Questions
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Please explain

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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