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