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