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The Spectrum Key

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Problem context and objectives
Mission briefing

Live-ops game engineer · A multiplayer arena is reporting bursts of lag

Find the smallest or strongest contiguous time window: The Spectrum Key.

Scanning the entire history after every event cannot keep up with live players.

How you win

  1. 1Recognize when Minimum covering window matches the clues
  2. 2Keep this true after every move: formed counts how many required character frequencies are currently satisfied
  3. 3Reach the result within O(n)

Rules and pressure

  • Target cost: O(n)
  • State rule: formed counts how many required character frequencies are currently satisfied
Lesson 1 of 3

Each required frequency is a lock. Expand until every lock is lit, then record and shrink while the cover remains valid.

Your call · Every lock is lit. What happens next?

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