Some solutions for n=2
........0..............0..............0..............0..............0
.......0.0............0.0............0.0............0.1............0.0
......0.0.0..........0.2.2..........0.1.1..........0.1.1..........0.0.0
.....0.0.1.0........1.1.2.2........0.1.1.1........0.0.2.2........0.0.1.1
....0.1.1.1.2......1.1.2.2.2......1.1.2.1.2......0.0.2.2.2......1.1.1.1.1
...0.1.1.1.2.2....1.1.2.2.2.2....2.2.2.2.2.2....0.1.2.2.2.2....0.1.1.1.1.1
..0.2.2.2.2.2.2..1.1.2.2.2.2.2..2.2.2.2.2.2.2..0.1.2.2.2.2.2..1.2.2.2.2.2.2
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