Some solutions for n=4
.....1........1........0........1........1........1........2........1
....1.1......1.2......2.1......0.0......1.2......0.0......1.1......0.0
...0.1.2....2.2.0....2.0.1....2.0.1....0.2.2....1.1.2....1.1.0....1.2.1
..1.0.1.2..0.0.1.1..2.1.1.0..2.2.2.0..1.1.0.0..2.2.0.1..1.2.1.0..1.2.1.1
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