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SE-SKOLORNAS 1990 Problem 2

    The points A1,A2,..,A2nA_1, A_2,.. , A_{2n} are equally spaced in that order along a straight line with A1A2=kA_1A_2 = k . PP is chosen to minimise ∑PAi\sum PA_i . Find the minimum.

    Dataset text AI-MO AoPS. Quoted with source.

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