Some solutions for n=5
..1..3..1..1..0..1..3....1..2..2..1..2..1..2....1..0..1..3..1..0..2
..0..1..3..1..0..1..1....1..3..1..0..1..3..2....1..0..1..3..1..1..1
..0..2..1..3..1..3..1....1..3..3..2..3..2..1....2..3..1..0..3..1..1
..0..1..3..0..0..3..3....0..0..2..0..0..2..1....2..0..3..0..1..3..0
..0..0..3..1..0..0..2....3..0..0..1..0..0..0....1..0..3..2..0..3..3
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