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Backtracking Algorithms

By Timothy Rolfe, May 01, 2004

Backtracking algorithms let you systematically search for solutions to problems among all available options.
May04: Backtracking Algorithms 

D:\Cloque>java Cloque 12 21
Maximum triplet sum: 21
Valid permutations:  261
Calls to check:      2168123

Time required:  0.44 seconds.

D:\Cloque>java Cloque 13 22
Permutation size:    13
Maximum triplet sum: 22
Valid permutations:  0
Calls to check:      8092606

Time required:  1.27 seconds.

D:\Cloque>java Cloque 13 23
Permutation size:    13
Maximum triplet sum: 23
Valid permutations:  2842
Calls to check:      18990336

Time required:  3.08 seconds.

D:\Cloque>java Cloque 14 24
Permutation size:    14
Maximum triplet sum: 24
Valid permutations:  144
Calls to check:      77374157

Time required:  12.36 seconds.

Figure 2: Results generated by the Java version of the program.



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