Some solutions for 4X4
..0..1..2..3....0..1..0..2....0..1..3..2....0..1..3..2....0..1..2..1
..1..2..0..2....1..2..3..5....1..2..0..1....1..2..4..1....1..2..0..4
..2..0..2..0....0..3..4..1....3..0..4..2....3..4..3..0....2..0..3..2
..3..2..0..2....2..5..1..5....2..1..2..0....2..1..0..5....1..4..2..0
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