Assume the following dataset is given: $(2,2),(4,4),(5,5),(6,6),(9,9)(0,4),(4,0)$ and KMeans is run with k$=3$ to cluster the dataset. Moreover, Manhattan distance is used as

the distance function to compute distances between centroids and objects in the

dataset. K$-$Mean$$s initial clusters C$1,$ C$2,$ and C$3$ are as follows:

Center c$1$: $(4,4)$ Center c$2$: $(2,2)$ Center c$3$: $(7,7)$

If K$-$means is run for a single iteration; what are the new clusters and what are their$$centroids$?$