I’m pretty happy with where my career is at now, but for a long time a big guilty displeasure I had was math. I’m a smart guy; I’ve studied the sciences and used to really like physics; I enjoy puzzles and intellectually stimulating exercises; I work in software and artificial intelligence. It seems like someone like me should like math. I’m not even bad at it! But it bores me to death. If I liked math, I think I could have made more money or had more impact in the technical fields I picked for myself. I could have enjoyed biology research and its heavy reliance on statistics. I could have had a lot of fun doing linear algebra and become a star AI researcher or something. But no, I’m stuck working in software, constantly hoping that I won’t ever need to multiply matrices or interpret a p-value.
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The algorithm maintains a running "best distance" that starts at infinity. As it walks the tree, it checks each visited point and updates the best distance if it finds something closer. Before recursing into a child node, it checks whether the closest possible point in that child's bounding box is farther than the current best. If so, the entire subtree gets pruned.