olymmath

TR-MO 2006 Problem 2

    There are 20062006 students and 1414 teachers in a school. Each student knows at least one teacher (knowing is a symmetric relation). Suppose that, for each pair of a student and a teacher who know each other, the ratio of the number of the students whom the teacher knows to that of the teachers whom the student knows is at least t.t. Find the maximum possible value of t.t.

    Dataset text AI-MO AoPS. Quoted with source.

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