You are given a task of classifying the objects on the Earth$$s orbit into $2$ categories:

$($a$)$ objects from the outer space $($such as asteroids$),$ labeled $+1$ and $($b$)$foreign$$

objects originating on Earth $($such as space garbage$),$ labeled $1.$ You have $($x$,$ y$)$

coordinates of $1000$ randomly selected objects in some fixed coordinate system; the

distance from each of the selected objects to the origin is an integer between $500$ and

$1200,$ and the origin of these objects is known. For the purpose of this problem, we

assume that the world is $2-$dimensional and that surface of the Earth is a circle You

also know from your friend at NASA that foreign objects are always closer to Earth

than the objects originating from the outer space.