Cluster Analysis could be also represented more formally as optimization procedure, which tries to minimize the Residual Sum of Squares objective function: where μ(ωk) - is a centroid of a particular cluster k, K - total amount of clusters, x - data sample in this cluster ωk. Please, provide value of RSS function on each iteration in your program for a particular distance measure and K number. Discuss the changing of RSS function value (increasing or decreasing and why) during Cluster Analysis (from the first iteration until the last one)?