Suppose you are given the following dataset in Figure 1 and Figure 2. Suppose you need to perform K-means clustering with k = 2. Your initial guess for cluster center of cluster 1 is the data #7 and for cluster 2 is data #8. Perform two iterations of K-means algorithm and report the clustering result after two iterations.Two iterations include, assigning the points according to the closest cluster (current) centers, updating cluster centers for the new clusters and reassigning points to updated cluster centers. Show your final clusters and compute the cluster centers for these two clusters.

6.00 5.00 4.00 #9 #7 #8 3.00 2.00 1.00 #2 0.00 0.00 1.00 2.00 300 4.005.006.00 7.00 Figure 1: K-means dataset