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.
Oops.
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.
Oops.