olymmath

EE-MO 2004 Problem 2

    The positive differences ai−aja_i-a_j of five different positive integers a1,a2,a3,a4,a5a_1, a_2, a_3, a_4, a_5 are all different (there are altogether 1010 such differences). Find the least possible value of the largest number among the aia_i .

    Dataset text AI-MO AoPS. Quoted with source.

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