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Discussion on: Maximum of all subarrays of size k

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Kostas Kalafatis

Thank you for sharing your solution to the problem of finding the maximum for each and every contiguous subarray of size K. Overall, your code seems to be correct and efficient, but there are a few things that could be improved.

Firstly, it would be helpful to use more descriptive variable names. Instead of a, n, and k, it would be better to use more meaningful names like array, size, and subarraySize. This will make the code easier to read and understand for other developers.

Secondly, it is important to indicate that the method can throw an exception, especially because it is dealing with a collection. Therefore, it is better to add the throws keyword followed by an exception type like NullPointerException to the method signature.

Additionally, it would be helpful to explain how the algorithm works in the code comments, or even better, write a blog post around the solution and not just dump the code. Although the code is relatively simple and easy to understand, some explanation can make it easier to follow and can help other developers learn from it.

Finally, it is worth noting that the space complexity of the algorithm is O(k) because we are using a priority queue to store the maximum element of each subarray. This is within the expected auxiliary space constraints, but it is still important to consider. Also, the time complexity of the algorithm is O(n log k) because inserting and removing elements from a priority queue takes O(log k) time. However, we are iterating over the array only once, which is efficient and meets the expected time complexity constraints.

Thank you again for sharing your solution. With these improvements, the code will be more readable, understandable, and helpful for other developers.