If parameters Eps$=2$ and MinPts$=2,$ what are the clusters that DBSCAN would discover with the

following $8$ examples: $A1=(2,10),A2=(2,5),A3=(8,4),A4=(5,8),A5=(7,5),A6=(6,4),A7=(1,2),A8=(4,9).$

Use the distance function as Euclidean distance.

$($a$)$ Write down the core points, border points, and noise points.

$($b$)$ Draw the $10$ by $10$ space and illustrate the discovered clusters.

$($c$)$ What are the clustering results if Eps increases to $\sqrt[\phantom{2}]{10}?$