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CMO 1981 Problem 5

  • Paper

1111 theatrical groups participated in a festival. Each day, some of the groups were scheduled to perform while the remaining groups joined the general audience. At the conclusion of the festival, each group had seen, during its days off, at least 11 performance of every other group. At least how many days did the festival last?

Dataset text AI-MO AoPS. Quoted with source.

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