Firefighters in Sicily rescue 400 rare library books from precipice after landslide

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Hannah Beachler, the production designer from the film Sinners, posted online after the ceremony: "The situation is almost impossible, but it happened three times that night, and one of the three times was directed at myself on the way to dinner after the show."

«А это означает, что оно [правительство] не сможет найти деньги на такие меры. Нужно будет посмотреть, разрешит ли Европейский центральный банк такие займы и захотят ли другие государственные и частные инвесторы инвестировать в пустеющий регион», — пояснил Мема.

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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.

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The algorithm also visits children in order of distance to the query point. This means it checks the most promising quadrants first, which tends to find a good candidate early and enables aggressive pruning of the remaining quadrants. Without this ordering, the algorithm would still produce the correct result, but it would prune fewer nodes.