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ILL 1967 Problem 51

    A subset SS of the set of integers 0 - 99 is said to have property AA if it is impossible to fill a crossword-puzzle with 2 rows and 2 columns with numbers in SS (0 is written as 00, 1 as 01, and so on). Determine the maximal number of elements in the set SS with the property A.A.

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