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Apple Catching

USACO · 2022 · US Open · gold-1

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greedy · binary-search · trees · sorting

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

sample trace

Apple Catching: greedy walkthrough

Apple Catching: use the linked editorial?s greedy, binary search idea on the published sample, then verify the displayed output.

Published input5 2 5 10 100 2 6 0 3 2 8 10 7 1 2 4 5 1 4 7 6 5 2 5 10 100 2 6 0 3 2 8 11 7 1 2 4 5 1 4 7 6modelAlgorithm ideaProcess choices in the order justified by the editorial and maintain the invariant that each accepted choice remains safe.task resultExpected output10 9
  1. 1

    Order

    Arrange candidates by the criterion used by the task?s greedy strategy.
  2. 2

    Choose

    Accept the next locally safe option while preserving the feasibility invariant.
  3. 3

    Finish

    Read the accumulated result and check it against the sample 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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