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Infinite Adventure

USACO · 2024 · February · platinum-3

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greedy · graph-algorithms

The organizer’s problem statement is available at the official source link.

sample trace

Infinite Adventure: greedy walkthrough

Infinite Adventure: use the linked editorial?s greedy, graph algorithms idea on the published sample, then verify the displayed output.

Published input5 4 1 2 1 2 8 2 3 4 4 2 3 5 5 5 5 5 1 5 5 2 4 3 3 3 6 5 3 2 5 3 7 5 5 1 2 1 2 8 2 3 4 4 2 3 5 5 5 5 5 1 5 5 2 4 3 3 2 6 5 3 2 5 3 7 5 3 1000000000000000000modelAlgorithm ideaProcess choices in the order justified by the editorial and maintain the invariant that each accepted choice remains safe.task resultExpected output2 2 5 4 2 3 5 4 2
  1. 1

    Order

    Arrange candidates by the criterion used by the task?s greedy strategy.
  2. 2

    Choose

    Accept the next locally safe option while preserving the feasibility invariant.
  3. 3

    Finish

    Read the accumulated result and check it against the sample output.
  4. 4

    Verify the sample

    Use the published sample output to check the result of this idea on the displayed input.
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