ALS overlaps and restrictive commons

Advanced methods and approaches for solving Sudoku puzzles

ALS overlaps and restrictive commons

Postby Wepwawet » Sat Sep 27, 2025 6:12 am

I have been trying to find the rules about the restrictive commons usage in overlapped cells of ALS's. When linking with a restrictive common to another ALS, I understand that the restrictive common cannot be in an overlapped cell of the ALS you want to link to. My question is, does this apply to all instances of the restrictive commons in an ALS or any one of them. For example, I have ALSa and ALSb, ALSa has 3 of digit x and ALSb has 2 of digit x, they can all see each other, however, one of the cells of both of the ALS's overlap and one of digit x exists in this overlapped cell shared by ALSa and ALSb, all other instances of digit x in both ALS's are not in overlapping cells. So does the overlap rule preventing linkage to consecutive ALS's refer to all of the restrictive commons of an ALS being in overlapped cells or just any of them.

Thanks in advance.
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Re: ALS overlaps and restrictive commons

Postby yzfwsf » Sat Sep 27, 2025 5:46 pm

RCC cannot appear in overlapping cells, that's all.
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Re: ALS overlaps and restrictive commons

Postby StrmCkr » Tue Sep 30, 2025 3:02 am

Als operate the same as Aic

RCC BETWEEN als nodes are the weak inference of aic ie Nand gates (part a, b) at least 1 or both are false.

The only way to form valid nand gates is its used values/cells not being true In both Nodes at the same time
overlaps Can do this

Short version
No overlapping cells of Als nodes cannot use Values of both als as the rcc.
Some do, some teach, the rest look it up.
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Re: ALS overlaps and restrictive commons

Postby Wepwawet » Tue Sep 30, 2025 10:16 am

Thanks all, it was as I thought. As I am recoding an old program, I just wanted to ensure I was was right in my assumption
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