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Updated Reasoning
Ok it probably works because it isn’t bang center but a bit up of center, most other steps most be half half noise vertically, and the reason it doesn;t minimize on an earlier horizontal step (where every step is mostly half half), is because the middle points on the trunk, that don’t contribute to the overall product therefore minimizing it even lower.
re: day 14 part 2
I had nfc how to solve this but someoone on the subreddit mentioned that miminizine the “safety score” was the way to go too … I guess your explanation is the correct one. Also the way the puzzle is generated is to start with the tree and go “backwards” a couple of thousand steps and use a number of of those as starting positions. Probably throw in some random robots as noise.
