Every point gets examined, regardless of where it sits. Points on the opposite side of the map get the same treatment as points right next to the query region. We're doing a lot of unnecessary work.
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，更多细节参见搜狗输入法2026
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I used z3 theorem prover to assess LLM output, which is a pretty decent SAT solver. I considered the LLM output successful if it determines the formula is SAT or UNSAT correctly, and for SAT case it needs to provide a valid assignment. Testing the assignment is easy, given an assignment you can add a single variable clause to the formula. If the resulting formula is still SAT, that means the assignment is valid otherwise it means that the assignment contradicts with the formula, and it is invalid.