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Hoof and Brain

USACO · 2022 · US Open · platinum-2

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graph-algorithms · data-structures

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

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Hoof and Brain: graph algorithms walkthrough

Hoof and Brain: use the linked editorial?s graph algorithms, data structures idea on the published sample, then verify the displayed output.

Published input9 10 1 2 2 3 3 4 4 7 3 5 1 6 6 8 8 9 9 6 7 2 4 1 5 1 2 1 6 2 4modelAlgorithm ideaRepresent the task?s objects and connections as a graph, then use the editorial?s traversal or path method to obtain the requested property.task resultExpected outputBHHB
  1. 1

    Model

    Make one vertex per task object and add an edge for each permitted relationship.
  2. 2

    Process

    Traverse or relax the graph according to the task?s path or reachability rule.
  3. 3

    Read

    Use the reached set or path result to produce the requested 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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