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This command outputs the formula in dimacs format, which is a standard format for CNF supported by every SAT solver. This makes it possible to validate LLM decision with another program.
Notice how the highlighted region shrinks at each step. The algorithm never examines points outside the narrowing window. In a balanced tree with nnn points, this takes about log4(n)\log_4(n)log4(n) steps. For a million points, that's roughly 10 steps instead of a million comparisons.