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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.

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This is the same idea behind binary search. In a sorted array, you compare against the middle element and eliminate half the remaining candidates. In a quadtree, you choose one of four quadrants and ignore the other three regions. Each level narrows the search space by a factor of four instead of two.

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Rank-1 linear, factorized embed, sinusoidal PE (period 11), ReLU carry detection, parabolic logit decoding