Day 10: Factory
Megathread guidelines
- Keep top level comments as only solutions, if you want to say something other than a solution put it in a new post. (replies to comments can be whatever)
- You can send code in code blocks by using three backticks, the code, and then three backticks or use something such as https://topaz.github.io/paste/ if you prefer sending it through a URL
FAQ
- What is this?: Here is a post with a large amount of details: https://programming.dev/post/6637268
- Where do I participate?: https://adventofcode.com/
- Is there a leaderboard for the community?: We have a programming.dev leaderboard with the info on how to join in this post: https://programming.dev/post/6631465
Nice job! I initially thought about using reduced-row echelon form, but the matrices all had infinitely many real solutions so I couldn’t figure out how to proceed. Instead, I scanned Wikipedia for a bit, found the two-phase simplex algorithm, spent two days getting it to work on paper and another day implementing it.
And the reward?
I’m not even done because ~10% of the systems have non-integer optima, so I still need to use cutting planes to add extra constraints to get the integer optima.