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RO-TST 2013 Problem 11

  • Test 3

Determine the largest natural number rr with the property that among any five subsets with 500500 elements of the set {1,2,…,1000}\{1,2,\ldots,1000\} there exist two of them which share at least rr elements.

Dataset text AI-MO AoPS. Quoted with source.

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