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\newcommand{\foldsize}{B} \newcommand{\nriter}{R} [/math]

Consider [math]\samplesize=10000[/math] datapoints [math]\featurevec^{(1)},\ldots,\featurevec^{(\samplesize)}[/math] which are represented by numeric feature vectors of length two. We apply [math]k[/math]-means to cluster the data set into [math]\nrcluster = 5[/math] clusters.

How many bits do we need to store the resulting cluster assignments?