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Cake Game

USACO · 2024 · December · silver-1

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combinatorics

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sample trace

Cake Game: combinatorics walkthrough

Cake Game: use the linked editorial?s combinatorics idea on the published sample, then verify the displayed output.

Published input2 4 40 30 20 10 4 10 20 30 40modelAlgorithm ideaCount the valid arrangements by splitting them into disjoint cases or independent choices.task resultExpected output60 40 60 40
  1. 1

    Cases

    Partition the possible configurations so each valid outcome belongs to one case.
  2. 2

    Count

    Count each case using the independent choices identified by the task.
  3. 3

    Combine

    Sum the disjoint case counts and apply any required modulus or bound.
  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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