hv,
First, You are correct. I did make a typo which you successfully caught. Thank you.
Second, I don't know how magic squares would help. The constraints are totally different. That is, I don't see how meeting the constraints of a magic square puzzle would successfully meet the constraints of the number place puzzle.
Third, you are right. It would be easy to generate a single solution by simply shifting the numbers on each row, and then using matrix rules to generate other solutions, but that would take the fun out of it :)
Finally, my concern at this point is not speed. Rather, it is the effectiveness of an algorithm to generate solutions of any size.
davidj
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