The dashed circle shows the current best distance. As the algorithm finds closer points, the circle shrinks, which causes more subtrees to fail the "could contain a closer point?" test and get pruned. The search usually gets cheaper as it progresses.
Before diving into API design, it's worth asking: what is a stream?
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The protest is the same one that led to the arrest of former CNN anchor Don Lemon, who along with nine others was charged after entering the Cities Church in St Paul with protesters who claimed a pastor was an immigration-enforcement official.