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Compatible Pairs

USACO · 2025 · US Open · silver-2

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graph-algorithms · sorting · simulation

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

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Compatible Pairs: graph algorithms walkthrough

Compatible Pairs: use the linked editorial?s graph algorithms, sorting idea on the published sample, then verify the displayed output.

Published input4 4 5 17 2 100 0 10 1 200 4 4 4 5 100 0 10 1 100 3 20 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 output118 30
  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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