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OBM 1997 Problem 1

    Given R,r>0R, r > 0 . Two circles are drawn radius RR , rr which meet in two points. The line joining the two points is a distance DD from the center of one circle and a distance dd from the center of the other. What is the smallest possible value for D+dD+d ?

    Dataset text AI-MO AoPS. Quoted with source.

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