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TW-TST 1995 Problem 3

    Suppose that nn persons meet in a meeting, and that each of the persons is acquainted to exactly 88 others. Any two acquainted persons have exactly 44 common acquaintances, and any two non-acquainted persons have exactly 22 common acquaintances. Find all possible values of nn .

    Dataset text AI-MO AoPS. Quoted with source.

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