BackAn interactive intro to quadtrees
For SAT problems with 10 variables and 200 clauses, it usually output SAT as expected, but the assignment was never valid (Examples: first, second). Once it claimed a SAT formula was UNSAT. For this reason I didn't bother testing with more variables for the SAT case.
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Option 1: The system can update the cost of that specific shortcut in the base graph and quickly re-run the Dijkstra search (Step 2) on the abstract graph to find an alternative high-level path.