According to Kattukaran, Google has also fixed command targeting so if you ask your device to turn off lights, for example, it will only do so in the location you're currently in (if you're a fancy pants with several houses and one Google Home account, this will be helpful to you).
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.
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