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The Bounded Scoreline

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Problem context and objectives
Mission briefing

Game event engineer · Actions arrive faster than the world can resolve them

Process events in the exact order promised by the data structure: The Bounded Scoreline.

The wrong removal order changes gameplay and creates impossible replays.

How you win

  1. 1Recognize when Deque-optimized dynamic state matches the clues
  2. 2Keep this true after every move: the deque front is the maximum dynamic score within k indices of the current position
  3. 3Reach the result within O(n)

Rules and pressure

  • Target cost: O(n)
  • State rule: the deque front is the maximum dynamic score within k indices of the current position
Lesson 1 of 3

Build the best score ending at every index. Only the previous k indices are reachable; the deque front supplies their strongest positive boost.

Your call · Front score is 12 and current value is -10. Ending score?

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