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At the moment it doesn't look like you show -how- the solver solves the problem. Showing how your solver works, by visualizing backtracking / guesses it makes, would be really cool.

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Good point and good idea :)

couldn't one argue that if you see what its doing - it isn't magic? it's quite clear what its doing, and that isn't magical.

if its just a black box and it comes up with the solution - thats magic.

I do seem to remember a Pratchett quote that conjurers amaze you twice - once with the trick and once with the trickery.

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