April 2024
Intermediate to advanced
832 pages
29h 31m
English
Content preview from Design and Analysis of Algorithms
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Abstract Algorithms 4—Backtracking 331
eight squares according to the rules of chess. There can be no reason to bother testing any of the remaining
positions. By pruning these positions, we can get signifi cant speed up.
Optimizing this pruning strategy requires carefully ordering the evaluation of the pieces. Each piece
could threaten at most a certain number of squares: the queen 27, the king 8, the rook 14, and the bishop 13.
To maximize the chances of a cut-off, we should insert the pieces in decreasing order of mobility. Whenever
the number of unthreatened squares exceeds the sum of the maximum coverage of the unplaced pieces, we
can prune. ...
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