Day 16: Reindeer Maze
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took some time out of my day to implement a solution that beats only running your solution by like 90 ms. This is because the algorithm for filling in all dead ends takes like 9-10 milliseconds and reduces the time it takes your algorithm to solve this by like 95-105 ms!
decent improvement for so many lines of code, but it is what it is. using .index and .rindex on strings is just way too fast. there might be a faster way to replace with
#
or just switch to complete binary bit manipulation for everything, but that is like incredibly difficult to think of rn.but here is the monster script that seemingly does it in ~90 milliseconds faster than your current script version. because it helps eliminated time waste in your Dijkstra’s algorithm and fills all dead ends with minimal impact on performance. Could there be corner cases that I didn’t think of? maybe, but saving time on your algo is better than just trying to be extra sure to eliminate all dead ends, and I am skipping loops because your algorithm will handle that better than trying to do a flood fill type algorithm. (remember first run of a modified script will run a little slow.)
as of rn, the slowest parts of the script is
find_next_dead_end
(which is faster than just regex surprisingly) and your Dijkstra’s algorithm. I could try to implement my own solver that isn’t piggy-backing off your Dijkstra’s algorithm. however, I think that is just more than I care to do rn. I also was not going to bother with reducing LOC for the giant match case. its fast and serves it purpose good enough.[ BigFastScript Paste ]
Those are some really great optimizations, thank you! I understand what you’re doing generally, but I’ll have to step through the code myself to get completely familiar with it.
It’s interesting that string operations win out here over graph algorithms even though this is technically a graph problem. Honestly your write-up and optimizations deserve its own post.
If you are wondering how my string operations is able to be fast, it is because of the simple fact that python’s
index
andrindex
are pactically O(n) time.(which for my use of it after slicing the string, it is closer to O(log(n)) time ) here are some more tricks in case you wish to think about that more. [link] Also, the more verbose option is simply tricks in batch processing. why bother checking each node individually, when we already know that a dead end is simply straight lines?If there was an exceedingly large maze was just a simple two spirals design, where one is a dead end and another has the “end flag” then my batch processing would simply outpace the slower per node iterator. in this scenario, there is a 50/50 chance you pick the right spiral, while it is just easier to look for which one is a dead end and just backtrack to chose the other option. technically it is slower than just guessing correctly first try, but that feels awfully similar to how a bogosort works. you just randomly choose paths(removing previously checked paths) or deterministically enumerate all paths. while a dead end is extremely easy to find and culls all those paths as extremely low priority, or in this spiral scenario, it is the more safe option than accidentally choosing the wrong path.
What would be the fastest would be to simply convert this to bit like representations. each wall could be 1, and empty spots could be 0. would have to be mindful of the location of the start and end separately.