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