The quality of the Dreamie's sound is what initially sold me during my demo at CES, and it holds up in daily use. The Dreamie has a 50 millimeter speaker inside, and the 360-degree grille on the bottom of the device makes it so the sound seems to come from everywhere. (My cats were extremely confused when I first turned it on). It really fills a room, and you don't have to crank it up to achieve that. When Bedtime Cue comes on, I typically turn it down to about 25, and then raise it back up to 45 when I flip it to Wind Down mode. I've never once set it higher than 50, and the alarm in the morning has still been loud enough to wake me up.
The quadtree is the two-dimensional case of a broader family of space-partitioning data structures. Octrees extend the same idea to three dimensions (splitting cubes into eight children), KD-trees use alternating axis-aligned splits (splitting along x, then y, then x again), and R-trees group nearby objects into bounding rectangles. Each variant makes different tradeoffs between construction time, query speed, and update cost.
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