Assume the following dataset is given:(1,1),(3,3),(5,5),(6,6), (8,8), (9,9), (0,3),(3,0) with following information: k=4 to cluster the dataset. Euclidean distance is used as the distance function to compute distances between centroids and objects in the dataset. The initial clusters C1, C2, C3, and C4 are as follows: C1: {(1,1), (3,3), (6,6)} C2: {(0,3), (3,0)) C3:{(5,5), (9,9) C4: {(8,8}} You need to solve the following questions: 1. What are their centroids for the given dataset? [5 marks] 2. Identify the new clusters for the given dataset. [20 marks]