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NoahTheDuke comments on Harry Potter and the Methods of Rationality discussion thread, part 28, chapter 99-101 - Less Wrong
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I worked top-to-bottom, without change. If a new branch grew higher than my previous cuts, I focused it immediately. I know there's an optimal way, but I'm not quite clever enough to think of it.
Well, for this applet the optimal strategy might depend heavily on how exactly its tameness is executed, which isn't very enlightening.
Edit: Derp, I tried out top-to-bottom and got it in 572. Definitely better than left-to-right or normals-first-ltr.
I used top-to-bottom, but dires first on each level, and that seemed to work consistently pretty well.