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Good Bitstrings

USACO · 2023 · US Open · platinum-2

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number-theory · strings

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

sample trace

Good Bitstrings: strings walkthrough

Good Bitstrings: use the linked editorial?s number theory, strings idea on the published sample, then verify the displayed output.

Published input6 1 1 3 5 4 7 8 20 4 10 27 21modelAlgorithm ideaTreat the text as an ordered sequence of characters and use the editorial?s matching or prefix/suffix property to avoid rescanning.task resultExpected output1 5 7 10 6 13
  1. 1

    Scan

    Process characters in order while maintaining the relevant prefix or match state.
  2. 2

    Match

    Use the editorial?s string property to detect or extend a valid pattern.
  3. 3

    Finish

    Convert the resulting match or transformed sequence into 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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