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