MathDB
points

Source: Ukraine 1997 grade 11

July 22, 2009
geometry3D geometryspherecombinatorics proposedcombinatorics

Problem Statement

In space are given 1997 1997 points. Let M M and m m be the largest and smallest distance between two of the given points. Prove that Mm>9 \frac{M}{m}>9.
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