this post was submitted on 13 Jun 2024
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Learn Programming
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What you're asking about (how to learn clever techniques to e.g. turn your naive O(n^2^) algorithm into an O(n log n) one) is the kind of stuff taught in an algorithms / theory course as part of a CS degree. Here are some of the first search results for open content courses I found that look like they cover the right topics:
https://ocw.mit.edu/courses/18-404j-theory-of-computation-fall-2020/pages/syllabus/
http://openclassroom.stanford.edu/MainFolder/CoursePage.php?course=IntroToAlgorithms
You also might want to consider a combinatorics / discrete math course.
In case others want to get into 18.404j, but don't have the prerequisite knowledge, I made a pretty complete graph of all available MIT courses (at least until 2023) and linked them as a left-to-right dependency graph:
https://thaumatorium.com/articles/mit-courses/mit.drawio.svg
Just search for
18.404j
- it's an SVG, so search works.