this post was submitted on 10 Dec 2024
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11 discussion with spoliers
Well my pt1 solution would require something like at least 1.5 petabytes RAM to hold the fully expanded array, so it was back to the drawing board for pt2 😁Luckily I noticed the numbers produced in every iteration were incredibly repetitive, so I assigned a separate accumulator to each one, and every iteration I only kept the unique numbers and updated the corresponding accumulators with how many times they had appeared, and finally I summed the accumulators.
The most unique numbers in one iteration were 3777, the 75 step execution was basically instant.
edit: other unhinged attempts included building a cache with how many pebbles resulted from a number after x steps that I would start using after reaching the halfway point, so every time I found a cached number I would replace that branch with the final count according to the remaining steps, but I couldn't think of a way to actually track how many pebbles result downstream from a specific pebble, but at least it got me thinking about tracking something along each pebble.
11 code
re: 11p2 discussion
I was also on my way to building a multilevel memoization cache with "branches", when I just happened to stumble on an incredibly elegant solution in the subreddit. I stole it and awarded myself only 1 point for today. Because I'm worth it.