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13rd ibmo - rep. dominicana 1998/q5.

Source: Spanish Communities

April 16, 2006
combinatorics unsolvedcombinatorics

Problem Statement

Find the maximal possible value of nn such that there exist points P1,P2,P3,…,PnP_1,P_2,P_3,\ldots,P_n in the plane and real numbers r1,r2,…,rnr_1,r_2,\ldots,r_n such that the distance between any two different points PiP_i and PjP_j is ri+rjr_i+r_j.
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