Looked at the examples and the first thing I noticed is that [5, 3, 8, 6] gives 22, which is just the sum of all elements.
First, clarify the problem constraints and rules for selecting books, as the question is ambiguous. Then, propose a dynamic programming solution that considers all possible selections, and analyze its time and space complexity.
Pro tip: Always ask clarifying questions before diving into code; interviewers value candidates who seek to understand the problem fully rather than making assumptions.
Ask questions to understand what 'maximum possible score' means: can the student pick any subset? Are there constraints like picking adjacent books? Is the order fixed?
Restate the problem in your own words, specifying the input, output, and any rules. For example, if it's a subset sum problem, state that.
Outline a dynamic programming or greedy approach based on the clarified rules. Explain the recurrence relation or greedy choice.
Discuss the time and space complexity of your solution, and consider potential optimizations.
Walk through a small example to verify the solution and edge cases.
AI-generated suggestions, not part of the candidate's original notes. May be inaccurate — verify before relying on them.