(1 2 3 4 5 6): (1 2 3) (4 5 6) d=9 (1 2 4) (3 5 6) d=7 (1 2 5) (3 4 6) d=5 (1 2 6) (3 4 5) d=3 (1 3 4) (2 5 6) d=5 (1 3 5) (2 4 6) d=3 (1 3 6) (2 4 5) d=1 <-- (1 4 5) (2 3 6) d=1 <-- solutions (1 4 6) (2 3 5) d=1 <-- (1 5 6) (2 3 4) d=3