Does anyone know of any algorithms for generating these game boards ?
That will produce challenging boards ?
replies(4):
A common opinion is that a good board is solvable without the use of backtracking. A set of known techniques should be enough to solve the board. To validate if a board is "fun" you need to have a program that can solve the board using these known techniques. Making that program is much harder than just making a general solver. And then you need to find the boards that can be validated as fun. Either you search through random boards, or you get clever...
#Variables: 121 (91 primary variables)
- 121 Booleans in [0,1]
#kLinear1: 200 (#enforced: 200)
#kLinear2: 1
#kLinear3: 2
#kLinearN: 30 (#terms: 355)
Presolve summary:
- 1 affine relations were detected.
- rule 'affine: new relation' was applied 1 time.
- rule 'at_most_one: empty or all false' was applied 148 times.
- rule 'at_most_one: removed literals' was applied 148 times.
- rule 'at_most_one: satisfied' was applied 36 times.
- rule 'deductions: 200 stored' was applied 1 time.
- rule 'exactly_one: removed literals' was applied 2 times.
- rule 'exactly_one: satisfied' was applied 31 times.
- rule 'linear: empty' was applied 1 time.
- rule 'linear: fixed or dup variables' was applied 12 times.
- rule 'linear: positive equal one' was applied 31 times.
- rule 'linear: reduced variable domains' was applied 1 time.
- rule 'linear: remapped using affine relations' was applied 4 times.
- rule 'presolve: 120 unused variables removed.' was applied 1 time.
- rule 'presolve: iteration' was applied 2 times.
Presolved satisfaction model '': (model_fingerprint: 0xa5b85c5e198ed849)
#Variables: 0 (0 primary variables)
The solution hint is complete and is feasible.
#1 0.00s main
a a a a a a a a a a *A*
a a a b b b b *B* a a a
a a *C* b d d d b b a a
a c c d d *E* d d b b a
a c d *D* d e d d d b a
a f d d d e e e d *G* a
a *F* d d d d d d d g a
a f f d d d d d *H* g a
*I* i f f d d d h h a a
i i i f *J* j j j a a a
i i i i i k *K* j a a a