The query point creates a new Voronoi region shown in blue, displacing some of the old regions. The weight of each natural neighbour is derived from the area of the displaced region .
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For SAT problems with 10 variables and 200 clauses, sometimes outputted UNSAT because it couldn't find any satisfying assignment, and it would take a lot more time to find one, which is logically sound. I don't consider this as bad reasoning as it is about performance. So I tried it with only 100 clauses and it successfully found valid assignments.