To answer exactly, I need to know more about how you set up your patterns. If every point gets one, and exactly one 3x3 pattern, then fixing one 3x3 pattern is required. If some points have no 3x3 pattern, then you're implicitly fixing an "other" pattern to a value of 1 and then no fixing of a 3x3 pattern is needed.

Just like 3x3 patterns, any orthogonal subset should have one value fixed...

Does that help?

When teaching a position, all legal positions get a pattern. This means positions that would be suicidal, ko, or aren't empty get no pattern. All legal positions get exactly one 3x3 pattern assigned.

What do you mean with orthogonal subset?

Please tell me if you need more information.
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