Question 62
Let $S$ be a set of $2020$ distinct points in the plane. Let
$M = \{P : P$ is the midpoint of $XY$ for some distinct points $X, Y$ in $S\}$.
Find the least possible value of the number of points in $M$.
$M = \{P : P$ is the midpoint of $XY$ for some distinct points $X, Y$ in $S\}$.
Find the least possible value of the number of points in $M$.