Just a guess. Perhaps you could use the other monk's blanked out solution to create an initial grid. Then, recreate this solution in the other grids, but transform it in some simple way in order to make sure it doesn't break the rules. My shot - just a first guess - is below, hidden:

Hmm. Let's try a 2 x 2 version. The initial grid is 

12
34

[download]

obviously. Now you need to fill in 

12--
34--
----
----

[download]

Clearly, as you move across, you need to shift rows: 

1234
3412
----
----

[download]

And as you move down, you need to shift columns: 

1234
3412
21--
43--

[download]

note that the lower left grid is just the upper left grid with columns shifted along. Finally, 

1234
3412
2143
4321

[download]

it turns out that the column shift from the grid above, and the row shift from the grid to the left, give identical results.

Perhaps this will work with N>2. Or not. Enjoy.
A massive flamewar beneath your chosen depth has not been shown here

In reply to Re: Better algorithm for Number Place Puzzle by dash2
in thread Better algorithm for Number Place Puzzle by davidj

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