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Election Queries

USACO · 2025 · US Open · gold-2

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two-pointers

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

sample trace

Election Queries: two pointers walkthrough

Election Queries: use the linked editorial?s two pointers idea on the published sample, then verify the displayed output.

Published input5 3 1 2 3 4 5 3 4 1 2 5 2 8 5 8 1 4 2 5 4 2 3 7 4 8 4 4 1 5 8 8 4modelAlgorithm ideaMaintain a valid interval with two endpoints; move the endpoint that restores the task?s condition.task resultExpected output4 3 2 4 4 4 7 7
  1. 1

    Window

    Place two pointers around the current candidate range.
  2. 2

    Adjust

    Update the range using the monotone condition from the task.
  3. 3

    Record

    Record valid candidates as the window advances, then read the result.
  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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