How many pairwise distance queries are needed, Computer Engineering

How many pairwise distance queries are needed

Problem

a) How many pairwise distance queries are needed in order to update cluster assignment for all N points during a K-means iteration?
b) How many pairwise distance computations are needed to update the mean value for a single mean shift iteration?
c) Which method would be more efficient for arbitrary data? Does your answer coincide with the previous two answers? Why?

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