We wanted a scenario where, say, 5 well-placed border points could efficiently represent an area with 5,000 internal points and 10,000 road edges. This would reduce those 10,000 edges to just 5*4/2 = 10 shortcuts for routing through that cluster at a high level – an incredible 1:1000 point ratio and a 30x reduction in edges to consider for the high-level path!
In his simulations, it was extremely rare for someone to have their mutual first picks; but many people had those that were second or third picks. In this scenario a couple counts as happy if each is near the top of the other's list and neither can find someone they and that other person would both prefer more.
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