Some solutions for n=4
.....0........0........0........0........0........0........0........0
....1.0......1.0......0.1......1.2......0.1......1.0......0.0......1.0
...1.1.2....1.1.2....2.0.1....1.2.1....2.0.0....0.2.3....1.2.2....0.0.0
..2.0.0.1..1.3.4.2..1.0.0.1..1.2.1.1..0.3.0.2..0.1.3.3..1.3.0.3..2.2.1.0
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