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Heaps & Intervals

Alex Chen22 min readUpdated 17 real interview reports

Heaps and intervals are the smaller of the coding buckets in this loop, but they sit under some of the most Roblox-shaped questions you will see. A heap is the tool when a round wants the best few of a large set that keeps moving, like the most-played experiences right now. An experience here is one of the millions of creator-built games and worlds on the platform. Intervals show up wherever time windows overlap: buff timers on an avatar, play sessions on a server, requests inside a rate window. Both families reward the same instinct, which is to touch only the part of the data that can change the answer rather than sorting everything in sight.

The algorithms here are canonical, so the pressure is not the trick, it is the finish. The coding rounds run in a shared editor. The recurring note from candidates is that one-shot correctness is what earns the round: code that compiles, clears the given tests, and covers the empty, single-element, and boundary cases the first time. A long stretch in the debugger reads worse than a slightly slower approach that lands clean. So a size-k heap you can write without fumbling, or an interval sweep you can set up in one pass, buys you the room the interviewer wants for the follow-up.

The Roblox angle
The board of most-played experiences is a top-K query over play counts, refreshed constantly, not a sorted ranking of the whole catalog. Roblox hosts millions of experiences, and the surfaces that matter to a player are the handful trending or most-played at this moment. That is Top K by count, and a size-k min-heap answers it in O(n log k) by walking the counts once and keeping only the current winners, evicting the weakest as stronger ones arrive. Sorting every experience to read off the top few is O(n log n) and throws work at a long tail nobody sees. Name that gap out loud. The heap wins because k stays small even when the catalog is enormous.
What's inside
  • 3 problems, worked step by step
  • about 22 min

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