Suppose that the data mining task is to cluster points (with (x, y) representing location) into three clusters, where the points are:

Suppose that the data mining task is to cluster points (with (x, y) representing location) into three clusters, where the points are:

A1(2, 10), A2(2, 5), A3(8, 4), B1(5, 8), B2(7, 5), B3(6, 4), C1(1, 2), C2(4, 9)

The distance function is Euclidean distance. Suppose initially we assign A1, B1, and C1 as the center of each cluster, respectively.

Use the k-means algorithm to show only:

The three cluster centers after the first round of execution.

The final three clusters.