\input epsf
\nopagenumbers
\magnification=\magstep1

\noindent {\bf Problem statement} Suppose five points are given within
or on the unit square.  Show that at least two of the points are no
farther apart than $ {1/{\sqrt 2}} = {{\sqrt 2}/2}.$

%contributed by Michael O'Nan







\vfil\eject\end