Some solutions for n=4
..0..1..0..1....0..1..0..1....0..1..0..1....0..1..0..1....0..1..0..1
..0..1..0..1....0..1..0..2....0..1..0..1....0..1..0..1....2..1..0..1
..2..1..0..2....2..1..0..1....2..1..0..1....0..1..0..1....0..2..0..1
..0..1..0..1....0..1..0..2....0..1..0..1....2..3..0..1....0..1..0..1
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