Y by
A set of points in the plane is called
if the distance between any two points in it is at most
. Let
be the largest positive integer such that in any
set of
points, there is a circle of diameter
, which contains at least
points.
Prove that there exists a positive real
, such that for all
, the value of
does not depend on
and find that value as a function of
.







Prove that there exists a positive real




