Pattern databases (Culberson & Schae er, 1998) or PDBs, have been proven very e ective in creating admissible Heuristics for single-agent search, such as the A*-algorithm. Haslum et. al proposed, a hill-climbing algorithm can be used to construct the PDBs, using the canonical heuristic. A di erent approach would be to change action-costs in the pattern-related abstractions, in order to obtain t...