this post was submitted on 10 Dec 2025
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Advent Of Code
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An unofficial home for the advent of code community on programming.dev! Other challenges are also welcome!
Advent of Code is an annual Advent calendar of small programming puzzles for a variety of skill sets and skill levels that can be solved in any programming language you like.
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EC 2025
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I'm still attempting to make "no lib" solution using matrices and Gaussian elimination. It definitely reduces my solution space, but I'm still struggling to find a good approach to search the space.
My next step is gonna be somehow extracting inequality boundaries, lock a variable at the boundary and solve that reduced equation system. Unfortunately I have no good way to get lower bounds like I do on paper (by default lower bounds for all variables are 0).
After looking at examples of graphical linear system solutions my hope is that optimal solutions will sit on these intersections between equations. The idea hinges on these equations being linear, meaning that without curves there should be no other optimum solutions.
On paper, looking at the inequality ranges, one variable maximum seems imply a minimum for another (in case there are two variables). Searching for solutions by solving smaller and smaller systems with these locked variables feels like a probable approach.