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Grass Segments

USACO · 2024 · US Open · gold-2

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binary-search · trees · sorting

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

sample trace

Grass Segments: binary search walkthrough

Grass Segments: use the linked editorial?s binary search, trees idea on the published sample, then verify the displayed output.

Published input2 3 6 3 4 7 2 4 3 6 1 2 5 1 4 10 1 1 4 1 5 8 10 2 4 9 2 3 7 4 5 7 1 2 7 1modelAlgorithm ideaSearch a monotone boundary by repeatedly testing a midpoint with the editorial?s feasibility condition.task resultExpected output0 1 3 3 2 2 0 3 1 3 3
  1. 1

    Range

    Set the candidate interval for the quantity the task asks to minimize or maximize.
  2. 2

    Test

    Evaluate the task?s feasibility condition at the midpoint.
  3. 3

    Narrow

    Keep the half containing the true boundary until the answer is determined.
  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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