Unique Sets

Unique Sets example

Rules: Fill some of the cells with a number from 1 to n (n is given in each puzzle, 1–3 in the example) such that every row and column contains every number from 1 to n exactly once (the rest of the cells will be left blank). Numbers may not repeat within a region. Additionally, no two regions may have exactly the same set of numbers (blank cells are ignored).

For example, a region containing {1, 2, blank} has the same set of numbers as a region containing {1, 2}. Notice that an empty region corresponds to the empty set {}.

As far as I know, this puzzle type is my own invention.

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