KnowNothing & Haskel
Ever wondered why quicksort keeps popping up as the go-to algorithm? There's a neat interplay of divide-and-conquer and average‑case analysis that's elegant if you follow it.
Oh, totally! Quicksort is like the rockstar of sorting, right? I mean, it splits the list in half, then does that fancy partition thing, and boom—sorts in a jiffy on average. But wait, have you ever wondered why the median of medians is used for the pivot? Or maybe how the recursion depth stays low? I think that’s the cool part… or is it the random pivot trick? Anyway, it’s all so slick!
Yeah, the median‑of‑medians guarantees a good pivot every time, so the recursion depth is strictly bounded, but the hidden constants make it slower than a random pivot in practice. Random pivot keeps the expected depth low and keeps the code lean. That's the trade‑off.
Right, so the median‑of‑medians is like the super‑smart kid that always picks the best seat, but it takes forever to pick it, so the party gets slow. And the random one is like a carefree friend who just grabs any seat, and the party still goes on fast, even if sometimes they pick a bad spot. It’s kind of like choosing between the best playlist that takes ages to load or just hitting shuffle and having fun. Makes me wonder if there’s a hybrid that’s both smart and quick, but I’ve got no idea how that would even work!