Question 2. [5 marks] Consider the following eight two-dimensional data points: i (15, 10), x2(3, 10), xz(15,12), r4(3, 14), s (18, 13), 6 (1,7), 7 10,1), s (10,30) You are required to use the k-means algorithm to cluster these points. You need to show the information (a) 1 Mark If k 2 and the initial means are (10,1) and (10,30), what is the output of the algorithm? (b) Mark If k 3 and the initial means are (10,), (10,30), and (3,10), what is the output of the (c)1 Mark]If k 4 and the initial means are (10,1), (10,30), (3,10), and (15,10), what is the output of (d) 2 Marks] What are the advantages and disadvantages of algorithm k-means? For each disadvantage, about each final cluster (including the mean of the cluster and all data points in this cluster) algorithm? the algorithm? please also give a suggestion to enhance the algorithm