The author discusses the computation of sums and maximum values for sliding windows of a list. By utilizing the sliding window technique, the author demonstrates how to efficiently compute these values in linear time. The implementation of monoidally-annotated stacks and queues is explored, showcasing how to build a queue using two stacks for (O(1)) amortized enqueue and dequeue operations. Throughout the content, the author provides detailed explanations, code snippets, and examples to illustrate the concepts. Additionally, the author presents challenges for readers to apply the techniques discussed. One surprising aspect is the adaptation of non-monoidal operations like maximum and minimum using special infinity elements to fit within a monoidal structure.
https://byorgey.github.io/blog/posts/2024/11/27/stacks-queues.html