Consider the following eight two-dimensional data points: x1:(23,12),x2:(6,6),x3:(15,0),x4:(15,28),x5:(20,9),x6:(8,9),x7:(20,11),x8:(8 13), Consider k-means algorithm to answer the following questions. You are required to show the information about each final cluster (including the mean of the cluster and all data points in this cluster). You can consider writing a program for this part but you are not required to submit the program. (a) (2 pt) If k=2 and the initial means are (20,9) and (8,9), what is the output of the algorithm? In the output, you are required to show the information about each final cluster (including the mean of the cluster and all data points in this cluster). (b) (2 pt) If k=2 and the initial means are (15,0) and (15,29), what is the output of the algorithm? In the output, you are required to show the information about each final cluster (including the mean of the cluster and all data points in this cluster). (c) (1 pt) What are the advantages and the disadvantages of the k-means algorithm? For each disadvantage, please also give a suggestion to enhance the k-means algorithm