Return longestIncreasingSubsequence from dpLongestIncreasingSubsequence

[shola]

The Longest Increasing Subsequence README.md and dpLongestIncreasingSubsequence.test.js give examples of the longest increasing subsequence that will be generated from various sequences:

In the first 16 terms of the binary Van der Corput sequence

0, 8, 4, 12, 2, 10, 6, 14, 1, 9, 5, 13, 3, 11, 7, 15

a longest increasing subsequence is

0, 2, 6, 9, 11, 15.

However, the implemented algorithm only returns the length of the longest increasing subsequence, not the subsequence itself. This change will create the longestIncreasingSubsequence from the lengthsArray and return that instead of longestIncreasingLength.

The tests have been updated to expect a subsequence instead of length.

[jessbennett]

❇️

[shola]

@trekhleb what do you think of this change?

[dcq01]

Hi! I'm a grad student working on a research project about using large language models to automate code review. Based on your commit 476a47e and the changes in src/algorithms/sets/longest-increasing-subsequence/test/dpLongestIncreasingSubsequence.test.js, my tool generated this comment:

1. Input Validation: Ensure that the dpLongestIncreasingSubsequence function properly validates its input, handling unexpected types (e.g., non-numeric values) to prevent potential type coercion issues or runtime errors.
2. Error Handling: The implementation of dpLongestIncreasingSubsequence should include error handling to manage edge cases, such as an empty array or an array with non-integer values.
3. Expected Output Correction: The expected output for a strictly decreasing array should be an empty array [] or the longest increasing subsequence found, which is not applicable here. Review the expected output to ensure it aligns with the function's intended behavior.
4. Test Description Update: Update the test description to "should return the longest increasing subsequence" to accurately describe the expected behavior of the function.
5. Additional Test Cases: Consider adding more test cases to cover various scenarios, including strictly increasing, strictly decreasing, and mixed sequences, as well as edge cases like empty arrays or arrays with all identical elements.
6. Expect Statement Clarity: Ensure that the expected output matches the function's intended return value. If the function returns the subsequence, the expected output should be the subsequence itself, and if it returns the length, the expected output should be the length.
7. Algorithm Complexity: If the dpLongestIncreasingSubsequence function is currently implemented with a time complexity of O(n^2), consider refactoring it to use a more efficient O(n log n) approach.
8. Performance Considerations: Ensure that the function has appropriate limits on input size and handles large datasets efficiently to prevent denial-of-service vulnerabilities.
9. Memory Optimization: Ensure that the function only maintains the necessary elements in memory, avoiding unnecessary storage of all subsequences.
10. Modular Test Structure: Consider organizing tests into separate describe blocks or files if there are multiple functionalities related to the longest increasing subsequence.

As part of my research, I'm trying to understand how useful these comments are in real-world development. If you have a moment, I'd be super grateful if you could quickly reply to these two yes/no questions:

1. Does this comment provide suggestions from a dimension you hadn’t considered?
2. 2. Do you find this comment helpful?

Thanks a lot for your time and feedback! And sorry again if this message is a bother.