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Paint by Rectangles

USACO · 2022 · February · platinum-1

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graph-algorithms · trees · sorting · data-structures

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

sample trace

Paint by Rectangles: graph algorithms walkthrough

Paint by Rectangles: use the linked editorial?s graph algorithms, trees idea on the published sample, then verify the displayed output.

Published input2 1 1 1 3 3 2 2 4 4 5 2 1 5 3 6 5 4 7 9 4 1 8 3 9 8 10 10 2 2 6 7modelAlgorithm 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 output4 4 5
  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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