I was wrong.

A postscript now that I've had time to think is that it's not possible to construct such a Sudoku. Well, the question itself is logically flawed.

I've stated that the puzzle must have a unique solution. But before you make the move and write in the number 1 in the particular location above, the puzzle (by definition thanks to the question) has multiple solutions.

Hence the question is flawed itself, and I am stupid.


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