The New Sudoku Players' Forum

[Red Ed]

1. Do all bases for the same (solved) puzzle have the same number of clues?

No, they don't.

2. For which integers n (n=0 through n=81) do there exist at least one puzzle/basis where the basis has size n?

At the time of writing, the max known is n=32.

[gsf]

Define a set of clues as a "basis" if (1) it generates a unique solution, and (2) no proper subset of it generates a unique solution.

this is a definition for "minimal puzzle"

[Smythe Dakota]

.... this is a definition for "minimal puzzle"

OK. Rather than searching this entire forum for existing concepts (I just found this forum two days ago), I guess I am re-inventing the wheel here and there. "Basis" is in line with what I (and many others) know about vector spaces.

Bill Smythe

[deam3r]

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Whaaaat? oh, I suhpous so, it's right? Right? RiGhT? RIGHT???!!!???
Yah, That's right, for a second I thought

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