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The Unique Lightpath

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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 Unique Lightpath.

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

How you win

  1. 1Recognize when Last-seen frequency window matches the clues
  2. 2Keep this true after every move: every character inside the live window is unique
  3. 3Reach the result within O(n)

Rules and pressure

  • Target cost: O(n)
  • State rule: every character inside the live window is unique
Lesson 1 of 3

Remember each glyph's last position. If its earlier copy is still inside the live trail, jump left just beyond it.

Your call · abc receives another a. Where should left jump?

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