A quadtree reduces this: rebuild the tree each frame, and for each object, query only the nearby region. Objects in distant quadrants are never compared.
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Some of the later generations of Pokémon (well, later by the standards of someone who started playing in the 90s) introduced a bunch of little freaks who are more or less just mundane, inanimate objects with faces. These are some of my favorite Pokémon because it feels like whoever designed them was just glancing around the room, looking for anything they could anthropomorphize.