Problem 1. For the following set of points, the initial centroid, and the cutoff distance of 4, do the following operations: 1) find the clusters; 2) update the centroid value; 3) find the distance between the centroid and the cluster, and update the radius. The radius is the mximum distance between the centroid and any point in the cluster.

Set of Points: {(1, 2), (2,1), (3, 2), (2, 3), (3, 4), (8, 4), (8, 5), (9, 3), (9, 4), (9, 5)}

Initial centroid points: (3, 4) and (9, 3)