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The Warmer Horizon

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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 Warmer Horizon.

The wrong removal order changes gameplay and creates impossible replays.

How you win

  1. 1Recognize when Monotonic wait stack matches the clues
  2. 2Keep this true after every move: stack temperatures are non-increasing, including equal temperatures, and their waits are not yet known
  3. 3Reach the result within O(n)

Rules and pressure

  • Target cost: O(n)
  • State rule: stack temperatures are non-increasing, including equal temperatures, and their waits are not yet known
Lesson 1 of 3

The waiting stack stores indices of colder unresolved days. When warmth arrives, the answer is the index distance, not the temperature.

Your call · Day 2 is 75 and day 6 reaches 76. What is the wait?

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