Identifier
-
Mp00127:
Permutations
—left-to-right-maxima to Dyck path⟶
Dyck paths
Mp00146: Dyck paths —to tunnel matching⟶ Perfect matchings
Mp00116: Perfect matchings —Kasraoui-Zeng⟶ Perfect matchings
St000164: Perfect matchings ⟶ ℤ
Values
[1] => [1,0] => [(1,2)] => [(1,2)] => 1
[1,2] => [1,0,1,0] => [(1,2),(3,4)] => [(1,2),(3,4)] => 2
[2,1] => [1,1,0,0] => [(1,4),(2,3)] => [(1,3),(2,4)] => 0
[1,2,3] => [1,0,1,0,1,0] => [(1,2),(3,4),(5,6)] => [(1,2),(3,4),(5,6)] => 3
[1,3,2] => [1,0,1,1,0,0] => [(1,2),(3,6),(4,5)] => [(1,2),(3,5),(4,6)] => 1
[2,1,3] => [1,1,0,0,1,0] => [(1,4),(2,3),(5,6)] => [(1,3),(2,4),(5,6)] => 1
[2,3,1] => [1,1,0,1,0,0] => [(1,6),(2,3),(4,5)] => [(1,3),(2,5),(4,6)] => 0
[3,1,2] => [1,1,1,0,0,0] => [(1,6),(2,5),(3,4)] => [(1,4),(2,5),(3,6)] => 0
[3,2,1] => [1,1,1,0,0,0] => [(1,6),(2,5),(3,4)] => [(1,4),(2,5),(3,6)] => 0
[1,2,3,4] => [1,0,1,0,1,0,1,0] => [(1,2),(3,4),(5,6),(7,8)] => [(1,2),(3,4),(5,6),(7,8)] => 4
[1,2,4,3] => [1,0,1,0,1,1,0,0] => [(1,2),(3,4),(5,8),(6,7)] => [(1,2),(3,4),(5,7),(6,8)] => 2
[1,3,2,4] => [1,0,1,1,0,0,1,0] => [(1,2),(3,6),(4,5),(7,8)] => [(1,2),(3,5),(4,6),(7,8)] => 2
[1,3,4,2] => [1,0,1,1,0,1,0,0] => [(1,2),(3,8),(4,5),(6,7)] => [(1,2),(3,5),(4,7),(6,8)] => 1
[1,4,2,3] => [1,0,1,1,1,0,0,0] => [(1,2),(3,8),(4,7),(5,6)] => [(1,2),(3,6),(4,7),(5,8)] => 1
[1,4,3,2] => [1,0,1,1,1,0,0,0] => [(1,2),(3,8),(4,7),(5,6)] => [(1,2),(3,6),(4,7),(5,8)] => 1
[2,1,3,4] => [1,1,0,0,1,0,1,0] => [(1,4),(2,3),(5,6),(7,8)] => [(1,3),(2,4),(5,6),(7,8)] => 2
[2,1,4,3] => [1,1,0,0,1,1,0,0] => [(1,4),(2,3),(5,8),(6,7)] => [(1,3),(2,4),(5,7),(6,8)] => 0
[2,3,1,4] => [1,1,0,1,0,0,1,0] => [(1,6),(2,3),(4,5),(7,8)] => [(1,3),(2,5),(4,6),(7,8)] => 1
[2,3,4,1] => [1,1,0,1,0,1,0,0] => [(1,8),(2,3),(4,5),(6,7)] => [(1,3),(2,5),(4,7),(6,8)] => 0
[2,4,1,3] => [1,1,0,1,1,0,0,0] => [(1,8),(2,3),(4,7),(5,6)] => [(1,3),(2,6),(4,7),(5,8)] => 0
[2,4,3,1] => [1,1,0,1,1,0,0,0] => [(1,8),(2,3),(4,7),(5,6)] => [(1,3),(2,6),(4,7),(5,8)] => 0
[3,1,2,4] => [1,1,1,0,0,0,1,0] => [(1,6),(2,5),(3,4),(7,8)] => [(1,4),(2,5),(3,6),(7,8)] => 1
[3,1,4,2] => [1,1,1,0,0,1,0,0] => [(1,8),(2,5),(3,4),(6,7)] => [(1,4),(2,5),(3,7),(6,8)] => 0
[3,2,1,4] => [1,1,1,0,0,0,1,0] => [(1,6),(2,5),(3,4),(7,8)] => [(1,4),(2,5),(3,6),(7,8)] => 1
[3,2,4,1] => [1,1,1,0,0,1,0,0] => [(1,8),(2,5),(3,4),(6,7)] => [(1,4),(2,5),(3,7),(6,8)] => 0
[3,4,1,2] => [1,1,1,0,1,0,0,0] => [(1,8),(2,7),(3,4),(5,6)] => [(1,4),(2,6),(3,7),(5,8)] => 0
[3,4,2,1] => [1,1,1,0,1,0,0,0] => [(1,8),(2,7),(3,4),(5,6)] => [(1,4),(2,6),(3,7),(5,8)] => 0
[4,1,2,3] => [1,1,1,1,0,0,0,0] => [(1,8),(2,7),(3,6),(4,5)] => [(1,5),(2,6),(3,7),(4,8)] => 0
[4,1,3,2] => [1,1,1,1,0,0,0,0] => [(1,8),(2,7),(3,6),(4,5)] => [(1,5),(2,6),(3,7),(4,8)] => 0
[4,2,1,3] => [1,1,1,1,0,0,0,0] => [(1,8),(2,7),(3,6),(4,5)] => [(1,5),(2,6),(3,7),(4,8)] => 0
[4,2,3,1] => [1,1,1,1,0,0,0,0] => [(1,8),(2,7),(3,6),(4,5)] => [(1,5),(2,6),(3,7),(4,8)] => 0
[4,3,1,2] => [1,1,1,1,0,0,0,0] => [(1,8),(2,7),(3,6),(4,5)] => [(1,5),(2,6),(3,7),(4,8)] => 0
[4,3,2,1] => [1,1,1,1,0,0,0,0] => [(1,8),(2,7),(3,6),(4,5)] => [(1,5),(2,6),(3,7),(4,8)] => 0
[1,2,3,4,5] => [1,0,1,0,1,0,1,0,1,0] => [(1,2),(3,4),(5,6),(7,8),(9,10)] => [(1,2),(3,4),(5,6),(7,8),(9,10)] => 5
[1,2,3,5,4] => [1,0,1,0,1,0,1,1,0,0] => [(1,2),(3,4),(5,6),(7,10),(8,9)] => [(1,2),(3,4),(5,6),(7,9),(8,10)] => 3
[1,2,4,3,5] => [1,0,1,0,1,1,0,0,1,0] => [(1,2),(3,4),(5,8),(6,7),(9,10)] => [(1,2),(3,4),(5,7),(6,8),(9,10)] => 3
[1,2,4,5,3] => [1,0,1,0,1,1,0,1,0,0] => [(1,2),(3,4),(5,10),(6,7),(8,9)] => [(1,2),(3,4),(5,7),(6,9),(8,10)] => 2
[1,2,5,3,4] => [1,0,1,0,1,1,1,0,0,0] => [(1,2),(3,4),(5,10),(6,9),(7,8)] => [(1,2),(3,4),(5,8),(6,9),(7,10)] => 2
[1,2,5,4,3] => [1,0,1,0,1,1,1,0,0,0] => [(1,2),(3,4),(5,10),(6,9),(7,8)] => [(1,2),(3,4),(5,8),(6,9),(7,10)] => 2
[1,3,2,4,5] => [1,0,1,1,0,0,1,0,1,0] => [(1,2),(3,6),(4,5),(7,8),(9,10)] => [(1,2),(3,5),(4,6),(7,8),(9,10)] => 3
[1,3,2,5,4] => [1,0,1,1,0,0,1,1,0,0] => [(1,2),(3,6),(4,5),(7,10),(8,9)] => [(1,2),(3,5),(4,6),(7,9),(8,10)] => 1
[1,3,4,2,5] => [1,0,1,1,0,1,0,0,1,0] => [(1,2),(3,8),(4,5),(6,7),(9,10)] => [(1,2),(3,5),(4,7),(6,8),(9,10)] => 2
[1,3,4,5,2] => [1,0,1,1,0,1,0,1,0,0] => [(1,2),(3,10),(4,5),(6,7),(8,9)] => [(1,2),(3,5),(4,7),(6,9),(8,10)] => 1
[1,3,5,2,4] => [1,0,1,1,0,1,1,0,0,0] => [(1,2),(3,10),(4,5),(6,9),(7,8)] => [(1,2),(3,5),(4,8),(6,9),(7,10)] => 1
[1,3,5,4,2] => [1,0,1,1,0,1,1,0,0,0] => [(1,2),(3,10),(4,5),(6,9),(7,8)] => [(1,2),(3,5),(4,8),(6,9),(7,10)] => 1
[1,4,2,3,5] => [1,0,1,1,1,0,0,0,1,0] => [(1,2),(3,8),(4,7),(5,6),(9,10)] => [(1,2),(3,6),(4,7),(5,8),(9,10)] => 2
[1,4,2,5,3] => [1,0,1,1,1,0,0,1,0,0] => [(1,2),(3,10),(4,7),(5,6),(8,9)] => [(1,2),(3,6),(4,7),(5,9),(8,10)] => 1
[1,4,3,2,5] => [1,0,1,1,1,0,0,0,1,0] => [(1,2),(3,8),(4,7),(5,6),(9,10)] => [(1,2),(3,6),(4,7),(5,8),(9,10)] => 2
[1,4,3,5,2] => [1,0,1,1,1,0,0,1,0,0] => [(1,2),(3,10),(4,7),(5,6),(8,9)] => [(1,2),(3,6),(4,7),(5,9),(8,10)] => 1
[1,4,5,2,3] => [1,0,1,1,1,0,1,0,0,0] => [(1,2),(3,10),(4,9),(5,6),(7,8)] => [(1,2),(3,6),(4,8),(5,9),(7,10)] => 1
[1,4,5,3,2] => [1,0,1,1,1,0,1,0,0,0] => [(1,2),(3,10),(4,9),(5,6),(7,8)] => [(1,2),(3,6),(4,8),(5,9),(7,10)] => 1
[1,5,2,3,4] => [1,0,1,1,1,1,0,0,0,0] => [(1,2),(3,10),(4,9),(5,8),(6,7)] => [(1,2),(3,7),(4,8),(5,9),(6,10)] => 1
[1,5,2,4,3] => [1,0,1,1,1,1,0,0,0,0] => [(1,2),(3,10),(4,9),(5,8),(6,7)] => [(1,2),(3,7),(4,8),(5,9),(6,10)] => 1
[1,5,3,2,4] => [1,0,1,1,1,1,0,0,0,0] => [(1,2),(3,10),(4,9),(5,8),(6,7)] => [(1,2),(3,7),(4,8),(5,9),(6,10)] => 1
[1,5,3,4,2] => [1,0,1,1,1,1,0,0,0,0] => [(1,2),(3,10),(4,9),(5,8),(6,7)] => [(1,2),(3,7),(4,8),(5,9),(6,10)] => 1
[1,5,4,2,3] => [1,0,1,1,1,1,0,0,0,0] => [(1,2),(3,10),(4,9),(5,8),(6,7)] => [(1,2),(3,7),(4,8),(5,9),(6,10)] => 1
[1,5,4,3,2] => [1,0,1,1,1,1,0,0,0,0] => [(1,2),(3,10),(4,9),(5,8),(6,7)] => [(1,2),(3,7),(4,8),(5,9),(6,10)] => 1
[2,1,3,4,5] => [1,1,0,0,1,0,1,0,1,0] => [(1,4),(2,3),(5,6),(7,8),(9,10)] => [(1,3),(2,4),(5,6),(7,8),(9,10)] => 3
[2,1,3,5,4] => [1,1,0,0,1,0,1,1,0,0] => [(1,4),(2,3),(5,6),(7,10),(8,9)] => [(1,3),(2,4),(5,6),(7,9),(8,10)] => 1
[2,1,4,3,5] => [1,1,0,0,1,1,0,0,1,0] => [(1,4),(2,3),(5,8),(6,7),(9,10)] => [(1,3),(2,4),(5,7),(6,8),(9,10)] => 1
[2,1,4,5,3] => [1,1,0,0,1,1,0,1,0,0] => [(1,4),(2,3),(5,10),(6,7),(8,9)] => [(1,3),(2,4),(5,7),(6,9),(8,10)] => 0
[2,1,5,3,4] => [1,1,0,0,1,1,1,0,0,0] => [(1,4),(2,3),(5,10),(6,9),(7,8)] => [(1,3),(2,4),(5,8),(6,9),(7,10)] => 0
[2,1,5,4,3] => [1,1,0,0,1,1,1,0,0,0] => [(1,4),(2,3),(5,10),(6,9),(7,8)] => [(1,3),(2,4),(5,8),(6,9),(7,10)] => 0
[2,3,1,4,5] => [1,1,0,1,0,0,1,0,1,0] => [(1,6),(2,3),(4,5),(7,8),(9,10)] => [(1,3),(2,5),(4,6),(7,8),(9,10)] => 2
[2,3,1,5,4] => [1,1,0,1,0,0,1,1,0,0] => [(1,6),(2,3),(4,5),(7,10),(8,9)] => [(1,3),(2,5),(4,6),(7,9),(8,10)] => 0
[2,3,4,1,5] => [1,1,0,1,0,1,0,0,1,0] => [(1,8),(2,3),(4,5),(6,7),(9,10)] => [(1,3),(2,5),(4,7),(6,8),(9,10)] => 1
[2,3,4,5,1] => [1,1,0,1,0,1,0,1,0,0] => [(1,10),(2,3),(4,5),(6,7),(8,9)] => [(1,3),(2,5),(4,7),(6,9),(8,10)] => 0
[2,3,5,1,4] => [1,1,0,1,0,1,1,0,0,0] => [(1,10),(2,3),(4,5),(6,9),(7,8)] => [(1,3),(2,5),(4,8),(6,9),(7,10)] => 0
[2,3,5,4,1] => [1,1,0,1,0,1,1,0,0,0] => [(1,10),(2,3),(4,5),(6,9),(7,8)] => [(1,3),(2,5),(4,8),(6,9),(7,10)] => 0
[2,4,1,3,5] => [1,1,0,1,1,0,0,0,1,0] => [(1,8),(2,3),(4,7),(5,6),(9,10)] => [(1,3),(2,6),(4,7),(5,8),(9,10)] => 1
[2,4,1,5,3] => [1,1,0,1,1,0,0,1,0,0] => [(1,10),(2,3),(4,7),(5,6),(8,9)] => [(1,3),(2,6),(4,7),(5,9),(8,10)] => 0
[2,4,3,1,5] => [1,1,0,1,1,0,0,0,1,0] => [(1,8),(2,3),(4,7),(5,6),(9,10)] => [(1,3),(2,6),(4,7),(5,8),(9,10)] => 1
[2,4,3,5,1] => [1,1,0,1,1,0,0,1,0,0] => [(1,10),(2,3),(4,7),(5,6),(8,9)] => [(1,3),(2,6),(4,7),(5,9),(8,10)] => 0
[2,4,5,1,3] => [1,1,0,1,1,0,1,0,0,0] => [(1,10),(2,3),(4,9),(5,6),(7,8)] => [(1,3),(2,6),(4,8),(5,9),(7,10)] => 0
[2,4,5,3,1] => [1,1,0,1,1,0,1,0,0,0] => [(1,10),(2,3),(4,9),(5,6),(7,8)] => [(1,3),(2,6),(4,8),(5,9),(7,10)] => 0
[2,5,1,3,4] => [1,1,0,1,1,1,0,0,0,0] => [(1,10),(2,3),(4,9),(5,8),(6,7)] => [(1,3),(2,7),(4,8),(5,9),(6,10)] => 0
[2,5,1,4,3] => [1,1,0,1,1,1,0,0,0,0] => [(1,10),(2,3),(4,9),(5,8),(6,7)] => [(1,3),(2,7),(4,8),(5,9),(6,10)] => 0
[2,5,3,1,4] => [1,1,0,1,1,1,0,0,0,0] => [(1,10),(2,3),(4,9),(5,8),(6,7)] => [(1,3),(2,7),(4,8),(5,9),(6,10)] => 0
[2,5,3,4,1] => [1,1,0,1,1,1,0,0,0,0] => [(1,10),(2,3),(4,9),(5,8),(6,7)] => [(1,3),(2,7),(4,8),(5,9),(6,10)] => 0
[2,5,4,1,3] => [1,1,0,1,1,1,0,0,0,0] => [(1,10),(2,3),(4,9),(5,8),(6,7)] => [(1,3),(2,7),(4,8),(5,9),(6,10)] => 0
[2,5,4,3,1] => [1,1,0,1,1,1,0,0,0,0] => [(1,10),(2,3),(4,9),(5,8),(6,7)] => [(1,3),(2,7),(4,8),(5,9),(6,10)] => 0
[3,1,2,4,5] => [1,1,1,0,0,0,1,0,1,0] => [(1,6),(2,5),(3,4),(7,8),(9,10)] => [(1,4),(2,5),(3,6),(7,8),(9,10)] => 2
[3,1,2,5,4] => [1,1,1,0,0,0,1,1,0,0] => [(1,6),(2,5),(3,4),(7,10),(8,9)] => [(1,4),(2,5),(3,6),(7,9),(8,10)] => 0
[3,1,4,2,5] => [1,1,1,0,0,1,0,0,1,0] => [(1,8),(2,5),(3,4),(6,7),(9,10)] => [(1,4),(2,5),(3,7),(6,8),(9,10)] => 1
[3,1,4,5,2] => [1,1,1,0,0,1,0,1,0,0] => [(1,10),(2,5),(3,4),(6,7),(8,9)] => [(1,4),(2,5),(3,7),(6,9),(8,10)] => 0
[3,1,5,2,4] => [1,1,1,0,0,1,1,0,0,0] => [(1,10),(2,5),(3,4),(6,9),(7,8)] => [(1,4),(2,5),(3,8),(6,9),(7,10)] => 0
[3,1,5,4,2] => [1,1,1,0,0,1,1,0,0,0] => [(1,10),(2,5),(3,4),(6,9),(7,8)] => [(1,4),(2,5),(3,8),(6,9),(7,10)] => 0
[3,2,1,4,5] => [1,1,1,0,0,0,1,0,1,0] => [(1,6),(2,5),(3,4),(7,8),(9,10)] => [(1,4),(2,5),(3,6),(7,8),(9,10)] => 2
[3,2,1,5,4] => [1,1,1,0,0,0,1,1,0,0] => [(1,6),(2,5),(3,4),(7,10),(8,9)] => [(1,4),(2,5),(3,6),(7,9),(8,10)] => 0
[3,2,4,1,5] => [1,1,1,0,0,1,0,0,1,0] => [(1,8),(2,5),(3,4),(6,7),(9,10)] => [(1,4),(2,5),(3,7),(6,8),(9,10)] => 1
[3,2,4,5,1] => [1,1,1,0,0,1,0,1,0,0] => [(1,10),(2,5),(3,4),(6,7),(8,9)] => [(1,4),(2,5),(3,7),(6,9),(8,10)] => 0
[3,2,5,1,4] => [1,1,1,0,0,1,1,0,0,0] => [(1,10),(2,5),(3,4),(6,9),(7,8)] => [(1,4),(2,5),(3,8),(6,9),(7,10)] => 0
[3,2,5,4,1] => [1,1,1,0,0,1,1,0,0,0] => [(1,10),(2,5),(3,4),(6,9),(7,8)] => [(1,4),(2,5),(3,8),(6,9),(7,10)] => 0
[3,4,1,2,5] => [1,1,1,0,1,0,0,0,1,0] => [(1,8),(2,7),(3,4),(5,6),(9,10)] => [(1,4),(2,6),(3,7),(5,8),(9,10)] => 1
[3,4,1,5,2] => [1,1,1,0,1,0,0,1,0,0] => [(1,10),(2,7),(3,4),(5,6),(8,9)] => [(1,4),(2,6),(3,7),(5,9),(8,10)] => 0
[3,4,2,1,5] => [1,1,1,0,1,0,0,0,1,0] => [(1,8),(2,7),(3,4),(5,6),(9,10)] => [(1,4),(2,6),(3,7),(5,8),(9,10)] => 1
[3,4,2,5,1] => [1,1,1,0,1,0,0,1,0,0] => [(1,10),(2,7),(3,4),(5,6),(8,9)] => [(1,4),(2,6),(3,7),(5,9),(8,10)] => 0
[3,4,5,1,2] => [1,1,1,0,1,0,1,0,0,0] => [(1,10),(2,9),(3,4),(5,6),(7,8)] => [(1,4),(2,6),(3,8),(5,9),(7,10)] => 0
[3,4,5,2,1] => [1,1,1,0,1,0,1,0,0,0] => [(1,10),(2,9),(3,4),(5,6),(7,8)] => [(1,4),(2,6),(3,8),(5,9),(7,10)] => 0
[3,5,1,2,4] => [1,1,1,0,1,1,0,0,0,0] => [(1,10),(2,9),(3,4),(5,8),(6,7)] => [(1,4),(2,7),(3,8),(5,9),(6,10)] => 0
[3,5,1,4,2] => [1,1,1,0,1,1,0,0,0,0] => [(1,10),(2,9),(3,4),(5,8),(6,7)] => [(1,4),(2,7),(3,8),(5,9),(6,10)] => 0
>>> Load all 873 entries. <<<[3,5,2,1,4] => [1,1,1,0,1,1,0,0,0,0] => [(1,10),(2,9),(3,4),(5,8),(6,7)] => [(1,4),(2,7),(3,8),(5,9),(6,10)] => 0
[3,5,2,4,1] => [1,1,1,0,1,1,0,0,0,0] => [(1,10),(2,9),(3,4),(5,8),(6,7)] => [(1,4),(2,7),(3,8),(5,9),(6,10)] => 0
[3,5,4,1,2] => [1,1,1,0,1,1,0,0,0,0] => [(1,10),(2,9),(3,4),(5,8),(6,7)] => [(1,4),(2,7),(3,8),(5,9),(6,10)] => 0
[3,5,4,2,1] => [1,1,1,0,1,1,0,0,0,0] => [(1,10),(2,9),(3,4),(5,8),(6,7)] => [(1,4),(2,7),(3,8),(5,9),(6,10)] => 0
[4,1,2,3,5] => [1,1,1,1,0,0,0,0,1,0] => [(1,8),(2,7),(3,6),(4,5),(9,10)] => [(1,5),(2,6),(3,7),(4,8),(9,10)] => 1
[4,1,2,5,3] => [1,1,1,1,0,0,0,1,0,0] => [(1,10),(2,7),(3,6),(4,5),(8,9)] => [(1,5),(2,6),(3,7),(4,9),(8,10)] => 0
[4,1,3,2,5] => [1,1,1,1,0,0,0,0,1,0] => [(1,8),(2,7),(3,6),(4,5),(9,10)] => [(1,5),(2,6),(3,7),(4,8),(9,10)] => 1
[4,1,3,5,2] => [1,1,1,1,0,0,0,1,0,0] => [(1,10),(2,7),(3,6),(4,5),(8,9)] => [(1,5),(2,6),(3,7),(4,9),(8,10)] => 0
[4,1,5,2,3] => [1,1,1,1,0,0,1,0,0,0] => [(1,10),(2,9),(3,6),(4,5),(7,8)] => [(1,5),(2,6),(3,8),(4,9),(7,10)] => 0
[4,1,5,3,2] => [1,1,1,1,0,0,1,0,0,0] => [(1,10),(2,9),(3,6),(4,5),(7,8)] => [(1,5),(2,6),(3,8),(4,9),(7,10)] => 0
[4,2,1,3,5] => [1,1,1,1,0,0,0,0,1,0] => [(1,8),(2,7),(3,6),(4,5),(9,10)] => [(1,5),(2,6),(3,7),(4,8),(9,10)] => 1
[4,2,1,5,3] => [1,1,1,1,0,0,0,1,0,0] => [(1,10),(2,7),(3,6),(4,5),(8,9)] => [(1,5),(2,6),(3,7),(4,9),(8,10)] => 0
[4,2,3,1,5] => [1,1,1,1,0,0,0,0,1,0] => [(1,8),(2,7),(3,6),(4,5),(9,10)] => [(1,5),(2,6),(3,7),(4,8),(9,10)] => 1
[4,2,3,5,1] => [1,1,1,1,0,0,0,1,0,0] => [(1,10),(2,7),(3,6),(4,5),(8,9)] => [(1,5),(2,6),(3,7),(4,9),(8,10)] => 0
[4,2,5,1,3] => [1,1,1,1,0,0,1,0,0,0] => [(1,10),(2,9),(3,6),(4,5),(7,8)] => [(1,5),(2,6),(3,8),(4,9),(7,10)] => 0
[4,2,5,3,1] => [1,1,1,1,0,0,1,0,0,0] => [(1,10),(2,9),(3,6),(4,5),(7,8)] => [(1,5),(2,6),(3,8),(4,9),(7,10)] => 0
[4,3,1,2,5] => [1,1,1,1,0,0,0,0,1,0] => [(1,8),(2,7),(3,6),(4,5),(9,10)] => [(1,5),(2,6),(3,7),(4,8),(9,10)] => 1
[4,3,1,5,2] => [1,1,1,1,0,0,0,1,0,0] => [(1,10),(2,7),(3,6),(4,5),(8,9)] => [(1,5),(2,6),(3,7),(4,9),(8,10)] => 0
[4,3,2,1,5] => [1,1,1,1,0,0,0,0,1,0] => [(1,8),(2,7),(3,6),(4,5),(9,10)] => [(1,5),(2,6),(3,7),(4,8),(9,10)] => 1
[4,3,2,5,1] => [1,1,1,1,0,0,0,1,0,0] => [(1,10),(2,7),(3,6),(4,5),(8,9)] => [(1,5),(2,6),(3,7),(4,9),(8,10)] => 0
[4,3,5,1,2] => [1,1,1,1,0,0,1,0,0,0] => [(1,10),(2,9),(3,6),(4,5),(7,8)] => [(1,5),(2,6),(3,8),(4,9),(7,10)] => 0
[4,3,5,2,1] => [1,1,1,1,0,0,1,0,0,0] => [(1,10),(2,9),(3,6),(4,5),(7,8)] => [(1,5),(2,6),(3,8),(4,9),(7,10)] => 0
[4,5,1,2,3] => [1,1,1,1,0,1,0,0,0,0] => [(1,10),(2,9),(3,8),(4,5),(6,7)] => [(1,5),(2,7),(3,8),(4,9),(6,10)] => 0
[4,5,1,3,2] => [1,1,1,1,0,1,0,0,0,0] => [(1,10),(2,9),(3,8),(4,5),(6,7)] => [(1,5),(2,7),(3,8),(4,9),(6,10)] => 0
[4,5,2,1,3] => [1,1,1,1,0,1,0,0,0,0] => [(1,10),(2,9),(3,8),(4,5),(6,7)] => [(1,5),(2,7),(3,8),(4,9),(6,10)] => 0
[4,5,2,3,1] => [1,1,1,1,0,1,0,0,0,0] => [(1,10),(2,9),(3,8),(4,5),(6,7)] => [(1,5),(2,7),(3,8),(4,9),(6,10)] => 0
[4,5,3,1,2] => [1,1,1,1,0,1,0,0,0,0] => [(1,10),(2,9),(3,8),(4,5),(6,7)] => [(1,5),(2,7),(3,8),(4,9),(6,10)] => 0
[4,5,3,2,1] => [1,1,1,1,0,1,0,0,0,0] => [(1,10),(2,9),(3,8),(4,5),(6,7)] => [(1,5),(2,7),(3,8),(4,9),(6,10)] => 0
[5,1,2,3,4] => [1,1,1,1,1,0,0,0,0,0] => [(1,10),(2,9),(3,8),(4,7),(5,6)] => [(1,6),(2,7),(3,8),(4,9),(5,10)] => 0
[5,1,2,4,3] => [1,1,1,1,1,0,0,0,0,0] => [(1,10),(2,9),(3,8),(4,7),(5,6)] => [(1,6),(2,7),(3,8),(4,9),(5,10)] => 0
[5,1,3,2,4] => [1,1,1,1,1,0,0,0,0,0] => [(1,10),(2,9),(3,8),(4,7),(5,6)] => [(1,6),(2,7),(3,8),(4,9),(5,10)] => 0
[5,1,3,4,2] => [1,1,1,1,1,0,0,0,0,0] => [(1,10),(2,9),(3,8),(4,7),(5,6)] => [(1,6),(2,7),(3,8),(4,9),(5,10)] => 0
[5,1,4,2,3] => [1,1,1,1,1,0,0,0,0,0] => [(1,10),(2,9),(3,8),(4,7),(5,6)] => [(1,6),(2,7),(3,8),(4,9),(5,10)] => 0
[5,1,4,3,2] => [1,1,1,1,1,0,0,0,0,0] => [(1,10),(2,9),(3,8),(4,7),(5,6)] => [(1,6),(2,7),(3,8),(4,9),(5,10)] => 0
[5,2,1,3,4] => [1,1,1,1,1,0,0,0,0,0] => [(1,10),(2,9),(3,8),(4,7),(5,6)] => [(1,6),(2,7),(3,8),(4,9),(5,10)] => 0
[5,2,1,4,3] => [1,1,1,1,1,0,0,0,0,0] => [(1,10),(2,9),(3,8),(4,7),(5,6)] => [(1,6),(2,7),(3,8),(4,9),(5,10)] => 0
[5,2,3,1,4] => [1,1,1,1,1,0,0,0,0,0] => [(1,10),(2,9),(3,8),(4,7),(5,6)] => [(1,6),(2,7),(3,8),(4,9),(5,10)] => 0
[5,2,3,4,1] => [1,1,1,1,1,0,0,0,0,0] => [(1,10),(2,9),(3,8),(4,7),(5,6)] => [(1,6),(2,7),(3,8),(4,9),(5,10)] => 0
[5,2,4,1,3] => [1,1,1,1,1,0,0,0,0,0] => [(1,10),(2,9),(3,8),(4,7),(5,6)] => [(1,6),(2,7),(3,8),(4,9),(5,10)] => 0
[5,2,4,3,1] => [1,1,1,1,1,0,0,0,0,0] => [(1,10),(2,9),(3,8),(4,7),(5,6)] => [(1,6),(2,7),(3,8),(4,9),(5,10)] => 0
[5,3,1,2,4] => [1,1,1,1,1,0,0,0,0,0] => [(1,10),(2,9),(3,8),(4,7),(5,6)] => [(1,6),(2,7),(3,8),(4,9),(5,10)] => 0
[5,3,1,4,2] => [1,1,1,1,1,0,0,0,0,0] => [(1,10),(2,9),(3,8),(4,7),(5,6)] => [(1,6),(2,7),(3,8),(4,9),(5,10)] => 0
[5,3,2,1,4] => [1,1,1,1,1,0,0,0,0,0] => [(1,10),(2,9),(3,8),(4,7),(5,6)] => [(1,6),(2,7),(3,8),(4,9),(5,10)] => 0
[5,3,2,4,1] => [1,1,1,1,1,0,0,0,0,0] => [(1,10),(2,9),(3,8),(4,7),(5,6)] => [(1,6),(2,7),(3,8),(4,9),(5,10)] => 0
[5,3,4,1,2] => [1,1,1,1,1,0,0,0,0,0] => [(1,10),(2,9),(3,8),(4,7),(5,6)] => [(1,6),(2,7),(3,8),(4,9),(5,10)] => 0
[5,3,4,2,1] => [1,1,1,1,1,0,0,0,0,0] => [(1,10),(2,9),(3,8),(4,7),(5,6)] => [(1,6),(2,7),(3,8),(4,9),(5,10)] => 0
[5,4,1,2,3] => [1,1,1,1,1,0,0,0,0,0] => [(1,10),(2,9),(3,8),(4,7),(5,6)] => [(1,6),(2,7),(3,8),(4,9),(5,10)] => 0
[5,4,1,3,2] => [1,1,1,1,1,0,0,0,0,0] => [(1,10),(2,9),(3,8),(4,7),(5,6)] => [(1,6),(2,7),(3,8),(4,9),(5,10)] => 0
[5,4,2,1,3] => [1,1,1,1,1,0,0,0,0,0] => [(1,10),(2,9),(3,8),(4,7),(5,6)] => [(1,6),(2,7),(3,8),(4,9),(5,10)] => 0
[5,4,2,3,1] => [1,1,1,1,1,0,0,0,0,0] => [(1,10),(2,9),(3,8),(4,7),(5,6)] => [(1,6),(2,7),(3,8),(4,9),(5,10)] => 0
[5,4,3,1,2] => [1,1,1,1,1,0,0,0,0,0] => [(1,10),(2,9),(3,8),(4,7),(5,6)] => [(1,6),(2,7),(3,8),(4,9),(5,10)] => 0
[5,4,3,2,1] => [1,1,1,1,1,0,0,0,0,0] => [(1,10),(2,9),(3,8),(4,7),(5,6)] => [(1,6),(2,7),(3,8),(4,9),(5,10)] => 0
[1,2,3,4,5,6] => [1,0,1,0,1,0,1,0,1,0,1,0] => [(1,2),(3,4),(5,6),(7,8),(9,10),(11,12)] => [(1,2),(3,4),(5,6),(7,8),(9,10),(11,12)] => 6
[1,2,3,4,6,5] => [1,0,1,0,1,0,1,0,1,1,0,0] => [(1,2),(3,4),(5,6),(7,8),(9,12),(10,11)] => [(1,2),(3,4),(5,6),(7,8),(9,11),(10,12)] => 4
[1,2,3,5,4,6] => [1,0,1,0,1,0,1,1,0,0,1,0] => [(1,2),(3,4),(5,6),(7,10),(8,9),(11,12)] => [(1,2),(3,4),(5,6),(7,9),(8,10),(11,12)] => 4
[1,2,3,5,6,4] => [1,0,1,0,1,0,1,1,0,1,0,0] => [(1,2),(3,4),(5,6),(7,12),(8,9),(10,11)] => [(1,2),(3,4),(5,6),(7,9),(8,11),(10,12)] => 3
[1,2,3,6,4,5] => [1,0,1,0,1,0,1,1,1,0,0,0] => [(1,2),(3,4),(5,6),(7,12),(8,11),(9,10)] => [(1,2),(3,4),(5,6),(7,10),(8,11),(9,12)] => 3
[1,2,3,6,5,4] => [1,0,1,0,1,0,1,1,1,0,0,0] => [(1,2),(3,4),(5,6),(7,12),(8,11),(9,10)] => [(1,2),(3,4),(5,6),(7,10),(8,11),(9,12)] => 3
[1,2,4,3,5,6] => [1,0,1,0,1,1,0,0,1,0,1,0] => [(1,2),(3,4),(5,8),(6,7),(9,10),(11,12)] => [(1,2),(3,4),(5,7),(6,8),(9,10),(11,12)] => 4
[1,2,4,3,6,5] => [1,0,1,0,1,1,0,0,1,1,0,0] => [(1,2),(3,4),(5,8),(6,7),(9,12),(10,11)] => [(1,2),(3,4),(5,7),(6,8),(9,11),(10,12)] => 2
[1,2,4,5,3,6] => [1,0,1,0,1,1,0,1,0,0,1,0] => [(1,2),(3,4),(5,10),(6,7),(8,9),(11,12)] => [(1,2),(3,4),(5,7),(6,9),(8,10),(11,12)] => 3
[1,2,4,5,6,3] => [1,0,1,0,1,1,0,1,0,1,0,0] => [(1,2),(3,4),(5,12),(6,7),(8,9),(10,11)] => [(1,2),(3,4),(5,7),(6,9),(8,11),(10,12)] => 2
[1,2,4,6,3,5] => [1,0,1,0,1,1,0,1,1,0,0,0] => [(1,2),(3,4),(5,12),(6,7),(8,11),(9,10)] => [(1,2),(3,4),(5,7),(6,10),(8,11),(9,12)] => 2
[1,2,4,6,5,3] => [1,0,1,0,1,1,0,1,1,0,0,0] => [(1,2),(3,4),(5,12),(6,7),(8,11),(9,10)] => [(1,2),(3,4),(5,7),(6,10),(8,11),(9,12)] => 2
[1,2,5,3,4,6] => [1,0,1,0,1,1,1,0,0,0,1,0] => [(1,2),(3,4),(5,10),(6,9),(7,8),(11,12)] => [(1,2),(3,4),(5,8),(6,9),(7,10),(11,12)] => 3
[1,2,5,3,6,4] => [1,0,1,0,1,1,1,0,0,1,0,0] => [(1,2),(3,4),(5,12),(6,9),(7,8),(10,11)] => [(1,2),(3,4),(5,8),(6,9),(7,11),(10,12)] => 2
[1,2,5,4,3,6] => [1,0,1,0,1,1,1,0,0,0,1,0] => [(1,2),(3,4),(5,10),(6,9),(7,8),(11,12)] => [(1,2),(3,4),(5,8),(6,9),(7,10),(11,12)] => 3
[1,2,5,4,6,3] => [1,0,1,0,1,1,1,0,0,1,0,0] => [(1,2),(3,4),(5,12),(6,9),(7,8),(10,11)] => [(1,2),(3,4),(5,8),(6,9),(7,11),(10,12)] => 2
[1,2,5,6,3,4] => [1,0,1,0,1,1,1,0,1,0,0,0] => [(1,2),(3,4),(5,12),(6,11),(7,8),(9,10)] => [(1,2),(3,4),(5,8),(6,10),(7,11),(9,12)] => 2
[1,2,5,6,4,3] => [1,0,1,0,1,1,1,0,1,0,0,0] => [(1,2),(3,4),(5,12),(6,11),(7,8),(9,10)] => [(1,2),(3,4),(5,8),(6,10),(7,11),(9,12)] => 2
[1,2,6,3,4,5] => [1,0,1,0,1,1,1,1,0,0,0,0] => [(1,2),(3,4),(5,12),(6,11),(7,10),(8,9)] => [(1,2),(3,4),(5,9),(6,10),(7,11),(8,12)] => 2
[1,2,6,3,5,4] => [1,0,1,0,1,1,1,1,0,0,0,0] => [(1,2),(3,4),(5,12),(6,11),(7,10),(8,9)] => [(1,2),(3,4),(5,9),(6,10),(7,11),(8,12)] => 2
[1,2,6,4,3,5] => [1,0,1,0,1,1,1,1,0,0,0,0] => [(1,2),(3,4),(5,12),(6,11),(7,10),(8,9)] => [(1,2),(3,4),(5,9),(6,10),(7,11),(8,12)] => 2
[1,2,6,4,5,3] => [1,0,1,0,1,1,1,1,0,0,0,0] => [(1,2),(3,4),(5,12),(6,11),(7,10),(8,9)] => [(1,2),(3,4),(5,9),(6,10),(7,11),(8,12)] => 2
[1,2,6,5,3,4] => [1,0,1,0,1,1,1,1,0,0,0,0] => [(1,2),(3,4),(5,12),(6,11),(7,10),(8,9)] => [(1,2),(3,4),(5,9),(6,10),(7,11),(8,12)] => 2
[1,2,6,5,4,3] => [1,0,1,0,1,1,1,1,0,0,0,0] => [(1,2),(3,4),(5,12),(6,11),(7,10),(8,9)] => [(1,2),(3,4),(5,9),(6,10),(7,11),(8,12)] => 2
[1,3,2,4,5,6] => [1,0,1,1,0,0,1,0,1,0,1,0] => [(1,2),(3,6),(4,5),(7,8),(9,10),(11,12)] => [(1,2),(3,5),(4,6),(7,8),(9,10),(11,12)] => 4
[1,3,2,4,6,5] => [1,0,1,1,0,0,1,0,1,1,0,0] => [(1,2),(3,6),(4,5),(7,8),(9,12),(10,11)] => [(1,2),(3,5),(4,6),(7,8),(9,11),(10,12)] => 2
[1,3,2,5,4,6] => [1,0,1,1,0,0,1,1,0,0,1,0] => [(1,2),(3,6),(4,5),(7,10),(8,9),(11,12)] => [(1,2),(3,5),(4,6),(7,9),(8,10),(11,12)] => 2
[1,3,2,5,6,4] => [1,0,1,1,0,0,1,1,0,1,0,0] => [(1,2),(3,6),(4,5),(7,12),(8,9),(10,11)] => [(1,2),(3,5),(4,6),(7,9),(8,11),(10,12)] => 1
[1,3,2,6,4,5] => [1,0,1,1,0,0,1,1,1,0,0,0] => [(1,2),(3,6),(4,5),(7,12),(8,11),(9,10)] => [(1,2),(3,5),(4,6),(7,10),(8,11),(9,12)] => 1
[1,3,2,6,5,4] => [1,0,1,1,0,0,1,1,1,0,0,0] => [(1,2),(3,6),(4,5),(7,12),(8,11),(9,10)] => [(1,2),(3,5),(4,6),(7,10),(8,11),(9,12)] => 1
[1,3,4,2,5,6] => [1,0,1,1,0,1,0,0,1,0,1,0] => [(1,2),(3,8),(4,5),(6,7),(9,10),(11,12)] => [(1,2),(3,5),(4,7),(6,8),(9,10),(11,12)] => 3
[1,3,4,2,6,5] => [1,0,1,1,0,1,0,0,1,1,0,0] => [(1,2),(3,8),(4,5),(6,7),(9,12),(10,11)] => [(1,2),(3,5),(4,7),(6,8),(9,11),(10,12)] => 1
[1,3,4,5,2,6] => [1,0,1,1,0,1,0,1,0,0,1,0] => [(1,2),(3,10),(4,5),(6,7),(8,9),(11,12)] => [(1,2),(3,5),(4,7),(6,9),(8,10),(11,12)] => 2
[1,3,4,5,6,2] => [1,0,1,1,0,1,0,1,0,1,0,0] => [(1,2),(3,12),(4,5),(6,7),(8,9),(10,11)] => [(1,2),(3,5),(4,7),(6,9),(8,11),(10,12)] => 1
[1,3,4,6,2,5] => [1,0,1,1,0,1,0,1,1,0,0,0] => [(1,2),(3,12),(4,5),(6,7),(8,11),(9,10)] => [(1,2),(3,5),(4,7),(6,10),(8,11),(9,12)] => 1
[1,3,4,6,5,2] => [1,0,1,1,0,1,0,1,1,0,0,0] => [(1,2),(3,12),(4,5),(6,7),(8,11),(9,10)] => [(1,2),(3,5),(4,7),(6,10),(8,11),(9,12)] => 1
[1,3,5,2,4,6] => [1,0,1,1,0,1,1,0,0,0,1,0] => [(1,2),(3,10),(4,5),(6,9),(7,8),(11,12)] => [(1,2),(3,5),(4,8),(6,9),(7,10),(11,12)] => 2
[1,3,5,2,6,4] => [1,0,1,1,0,1,1,0,0,1,0,0] => [(1,2),(3,12),(4,5),(6,9),(7,8),(10,11)] => [(1,2),(3,5),(4,8),(6,9),(7,11),(10,12)] => 1
[1,3,5,4,2,6] => [1,0,1,1,0,1,1,0,0,0,1,0] => [(1,2),(3,10),(4,5),(6,9),(7,8),(11,12)] => [(1,2),(3,5),(4,8),(6,9),(7,10),(11,12)] => 2
[1,3,5,4,6,2] => [1,0,1,1,0,1,1,0,0,1,0,0] => [(1,2),(3,12),(4,5),(6,9),(7,8),(10,11)] => [(1,2),(3,5),(4,8),(6,9),(7,11),(10,12)] => 1
[1,3,5,6,2,4] => [1,0,1,1,0,1,1,0,1,0,0,0] => [(1,2),(3,12),(4,5),(6,11),(7,8),(9,10)] => [(1,2),(3,5),(4,8),(6,10),(7,11),(9,12)] => 1
[1,3,5,6,4,2] => [1,0,1,1,0,1,1,0,1,0,0,0] => [(1,2),(3,12),(4,5),(6,11),(7,8),(9,10)] => [(1,2),(3,5),(4,8),(6,10),(7,11),(9,12)] => 1
[1,3,6,2,4,5] => [1,0,1,1,0,1,1,1,0,0,0,0] => [(1,2),(3,12),(4,5),(6,11),(7,10),(8,9)] => [(1,2),(3,5),(4,9),(6,10),(7,11),(8,12)] => 1
[1,3,6,2,5,4] => [1,0,1,1,0,1,1,1,0,0,0,0] => [(1,2),(3,12),(4,5),(6,11),(7,10),(8,9)] => [(1,2),(3,5),(4,9),(6,10),(7,11),(8,12)] => 1
[1,3,6,4,2,5] => [1,0,1,1,0,1,1,1,0,0,0,0] => [(1,2),(3,12),(4,5),(6,11),(7,10),(8,9)] => [(1,2),(3,5),(4,9),(6,10),(7,11),(8,12)] => 1
[1,3,6,4,5,2] => [1,0,1,1,0,1,1,1,0,0,0,0] => [(1,2),(3,12),(4,5),(6,11),(7,10),(8,9)] => [(1,2),(3,5),(4,9),(6,10),(7,11),(8,12)] => 1
[1,3,6,5,2,4] => [1,0,1,1,0,1,1,1,0,0,0,0] => [(1,2),(3,12),(4,5),(6,11),(7,10),(8,9)] => [(1,2),(3,5),(4,9),(6,10),(7,11),(8,12)] => 1
[1,3,6,5,4,2] => [1,0,1,1,0,1,1,1,0,0,0,0] => [(1,2),(3,12),(4,5),(6,11),(7,10),(8,9)] => [(1,2),(3,5),(4,9),(6,10),(7,11),(8,12)] => 1
[1,4,2,3,5,6] => [1,0,1,1,1,0,0,0,1,0,1,0] => [(1,2),(3,8),(4,7),(5,6),(9,10),(11,12)] => [(1,2),(3,6),(4,7),(5,8),(9,10),(11,12)] => 3
[1,4,2,3,6,5] => [1,0,1,1,1,0,0,0,1,1,0,0] => [(1,2),(3,8),(4,7),(5,6),(9,12),(10,11)] => [(1,2),(3,6),(4,7),(5,8),(9,11),(10,12)] => 1
[1,4,2,5,3,6] => [1,0,1,1,1,0,0,1,0,0,1,0] => [(1,2),(3,10),(4,7),(5,6),(8,9),(11,12)] => [(1,2),(3,6),(4,7),(5,9),(8,10),(11,12)] => 2
[1,4,2,5,6,3] => [1,0,1,1,1,0,0,1,0,1,0,0] => [(1,2),(3,12),(4,7),(5,6),(8,9),(10,11)] => [(1,2),(3,6),(4,7),(5,9),(8,11),(10,12)] => 1
[1,4,2,6,3,5] => [1,0,1,1,1,0,0,1,1,0,0,0] => [(1,2),(3,12),(4,7),(5,6),(8,11),(9,10)] => [(1,2),(3,6),(4,7),(5,10),(8,11),(9,12)] => 1
[1,4,2,6,5,3] => [1,0,1,1,1,0,0,1,1,0,0,0] => [(1,2),(3,12),(4,7),(5,6),(8,11),(9,10)] => [(1,2),(3,6),(4,7),(5,10),(8,11),(9,12)] => 1
[1,4,3,2,5,6] => [1,0,1,1,1,0,0,0,1,0,1,0] => [(1,2),(3,8),(4,7),(5,6),(9,10),(11,12)] => [(1,2),(3,6),(4,7),(5,8),(9,10),(11,12)] => 3
[1,4,3,2,6,5] => [1,0,1,1,1,0,0,0,1,1,0,0] => [(1,2),(3,8),(4,7),(5,6),(9,12),(10,11)] => [(1,2),(3,6),(4,7),(5,8),(9,11),(10,12)] => 1
[1,4,3,5,2,6] => [1,0,1,1,1,0,0,1,0,0,1,0] => [(1,2),(3,10),(4,7),(5,6),(8,9),(11,12)] => [(1,2),(3,6),(4,7),(5,9),(8,10),(11,12)] => 2
[1,4,3,5,6,2] => [1,0,1,1,1,0,0,1,0,1,0,0] => [(1,2),(3,12),(4,7),(5,6),(8,9),(10,11)] => [(1,2),(3,6),(4,7),(5,9),(8,11),(10,12)] => 1
[1,4,3,6,2,5] => [1,0,1,1,1,0,0,1,1,0,0,0] => [(1,2),(3,12),(4,7),(5,6),(8,11),(9,10)] => [(1,2),(3,6),(4,7),(5,10),(8,11),(9,12)] => 1
[1,4,3,6,5,2] => [1,0,1,1,1,0,0,1,1,0,0,0] => [(1,2),(3,12),(4,7),(5,6),(8,11),(9,10)] => [(1,2),(3,6),(4,7),(5,10),(8,11),(9,12)] => 1
[1,4,5,2,3,6] => [1,0,1,1,1,0,1,0,0,0,1,0] => [(1,2),(3,10),(4,9),(5,6),(7,8),(11,12)] => [(1,2),(3,6),(4,8),(5,9),(7,10),(11,12)] => 2
[1,4,5,2,6,3] => [1,0,1,1,1,0,1,0,0,1,0,0] => [(1,2),(3,12),(4,9),(5,6),(7,8),(10,11)] => [(1,2),(3,6),(4,8),(5,9),(7,11),(10,12)] => 1
[1,4,5,3,2,6] => [1,0,1,1,1,0,1,0,0,0,1,0] => [(1,2),(3,10),(4,9),(5,6),(7,8),(11,12)] => [(1,2),(3,6),(4,8),(5,9),(7,10),(11,12)] => 2
[1,4,5,3,6,2] => [1,0,1,1,1,0,1,0,0,1,0,0] => [(1,2),(3,12),(4,9),(5,6),(7,8),(10,11)] => [(1,2),(3,6),(4,8),(5,9),(7,11),(10,12)] => 1
[1,4,5,6,2,3] => [1,0,1,1,1,0,1,0,1,0,0,0] => [(1,2),(3,12),(4,11),(5,6),(7,8),(9,10)] => [(1,2),(3,6),(4,8),(5,10),(7,11),(9,12)] => 1
[1,4,5,6,3,2] => [1,0,1,1,1,0,1,0,1,0,0,0] => [(1,2),(3,12),(4,11),(5,6),(7,8),(9,10)] => [(1,2),(3,6),(4,8),(5,10),(7,11),(9,12)] => 1
[1,4,6,2,3,5] => [1,0,1,1,1,0,1,1,0,0,0,0] => [(1,2),(3,12),(4,11),(5,6),(7,10),(8,9)] => [(1,2),(3,6),(4,9),(5,10),(7,11),(8,12)] => 1
[1,4,6,2,5,3] => [1,0,1,1,1,0,1,1,0,0,0,0] => [(1,2),(3,12),(4,11),(5,6),(7,10),(8,9)] => [(1,2),(3,6),(4,9),(5,10),(7,11),(8,12)] => 1
[1,4,6,3,2,5] => [1,0,1,1,1,0,1,1,0,0,0,0] => [(1,2),(3,12),(4,11),(5,6),(7,10),(8,9)] => [(1,2),(3,6),(4,9),(5,10),(7,11),(8,12)] => 1
[1,4,6,3,5,2] => [1,0,1,1,1,0,1,1,0,0,0,0] => [(1,2),(3,12),(4,11),(5,6),(7,10),(8,9)] => [(1,2),(3,6),(4,9),(5,10),(7,11),(8,12)] => 1
[1,4,6,5,2,3] => [1,0,1,1,1,0,1,1,0,0,0,0] => [(1,2),(3,12),(4,11),(5,6),(7,10),(8,9)] => [(1,2),(3,6),(4,9),(5,10),(7,11),(8,12)] => 1
[1,4,6,5,3,2] => [1,0,1,1,1,0,1,1,0,0,0,0] => [(1,2),(3,12),(4,11),(5,6),(7,10),(8,9)] => [(1,2),(3,6),(4,9),(5,10),(7,11),(8,12)] => 1
[1,5,2,3,4,6] => [1,0,1,1,1,1,0,0,0,0,1,0] => [(1,2),(3,10),(4,9),(5,8),(6,7),(11,12)] => [(1,2),(3,7),(4,8),(5,9),(6,10),(11,12)] => 2
[1,5,2,3,6,4] => [1,0,1,1,1,1,0,0,0,1,0,0] => [(1,2),(3,12),(4,9),(5,8),(6,7),(10,11)] => [(1,2),(3,7),(4,8),(5,9),(6,11),(10,12)] => 1
[1,5,2,4,3,6] => [1,0,1,1,1,1,0,0,0,0,1,0] => [(1,2),(3,10),(4,9),(5,8),(6,7),(11,12)] => [(1,2),(3,7),(4,8),(5,9),(6,10),(11,12)] => 2
[1,5,2,4,6,3] => [1,0,1,1,1,1,0,0,0,1,0,0] => [(1,2),(3,12),(4,9),(5,8),(6,7),(10,11)] => [(1,2),(3,7),(4,8),(5,9),(6,11),(10,12)] => 1
[1,5,2,6,3,4] => [1,0,1,1,1,1,0,0,1,0,0,0] => [(1,2),(3,12),(4,11),(5,8),(6,7),(9,10)] => [(1,2),(3,7),(4,8),(5,10),(6,11),(9,12)] => 1
[1,5,2,6,4,3] => [1,0,1,1,1,1,0,0,1,0,0,0] => [(1,2),(3,12),(4,11),(5,8),(6,7),(9,10)] => [(1,2),(3,7),(4,8),(5,10),(6,11),(9,12)] => 1
[1,5,3,2,4,6] => [1,0,1,1,1,1,0,0,0,0,1,0] => [(1,2),(3,10),(4,9),(5,8),(6,7),(11,12)] => [(1,2),(3,7),(4,8),(5,9),(6,10),(11,12)] => 2
[1,5,3,2,6,4] => [1,0,1,1,1,1,0,0,0,1,0,0] => [(1,2),(3,12),(4,9),(5,8),(6,7),(10,11)] => [(1,2),(3,7),(4,8),(5,9),(6,11),(10,12)] => 1
[1,5,3,4,2,6] => [1,0,1,1,1,1,0,0,0,0,1,0] => [(1,2),(3,10),(4,9),(5,8),(6,7),(11,12)] => [(1,2),(3,7),(4,8),(5,9),(6,10),(11,12)] => 2
[1,5,3,4,6,2] => [1,0,1,1,1,1,0,0,0,1,0,0] => [(1,2),(3,12),(4,9),(5,8),(6,7),(10,11)] => [(1,2),(3,7),(4,8),(5,9),(6,11),(10,12)] => 1
[1,5,3,6,2,4] => [1,0,1,1,1,1,0,0,1,0,0,0] => [(1,2),(3,12),(4,11),(5,8),(6,7),(9,10)] => [(1,2),(3,7),(4,8),(5,10),(6,11),(9,12)] => 1
[1,5,3,6,4,2] => [1,0,1,1,1,1,0,0,1,0,0,0] => [(1,2),(3,12),(4,11),(5,8),(6,7),(9,10)] => [(1,2),(3,7),(4,8),(5,10),(6,11),(9,12)] => 1
[1,5,4,2,3,6] => [1,0,1,1,1,1,0,0,0,0,1,0] => [(1,2),(3,10),(4,9),(5,8),(6,7),(11,12)] => [(1,2),(3,7),(4,8),(5,9),(6,10),(11,12)] => 2
[1,5,4,2,6,3] => [1,0,1,1,1,1,0,0,0,1,0,0] => [(1,2),(3,12),(4,9),(5,8),(6,7),(10,11)] => [(1,2),(3,7),(4,8),(5,9),(6,11),(10,12)] => 1
[1,5,4,3,2,6] => [1,0,1,1,1,1,0,0,0,0,1,0] => [(1,2),(3,10),(4,9),(5,8),(6,7),(11,12)] => [(1,2),(3,7),(4,8),(5,9),(6,10),(11,12)] => 2
[1,5,4,3,6,2] => [1,0,1,1,1,1,0,0,0,1,0,0] => [(1,2),(3,12),(4,9),(5,8),(6,7),(10,11)] => [(1,2),(3,7),(4,8),(5,9),(6,11),(10,12)] => 1
[1,5,4,6,2,3] => [1,0,1,1,1,1,0,0,1,0,0,0] => [(1,2),(3,12),(4,11),(5,8),(6,7),(9,10)] => [(1,2),(3,7),(4,8),(5,10),(6,11),(9,12)] => 1
[1,5,4,6,3,2] => [1,0,1,1,1,1,0,0,1,0,0,0] => [(1,2),(3,12),(4,11),(5,8),(6,7),(9,10)] => [(1,2),(3,7),(4,8),(5,10),(6,11),(9,12)] => 1
[1,5,6,2,3,4] => [1,0,1,1,1,1,0,1,0,0,0,0] => [(1,2),(3,12),(4,11),(5,10),(6,7),(8,9)] => [(1,2),(3,7),(4,9),(5,10),(6,11),(8,12)] => 1
[1,5,6,2,4,3] => [1,0,1,1,1,1,0,1,0,0,0,0] => [(1,2),(3,12),(4,11),(5,10),(6,7),(8,9)] => [(1,2),(3,7),(4,9),(5,10),(6,11),(8,12)] => 1
[1,5,6,3,2,4] => [1,0,1,1,1,1,0,1,0,0,0,0] => [(1,2),(3,12),(4,11),(5,10),(6,7),(8,9)] => [(1,2),(3,7),(4,9),(5,10),(6,11),(8,12)] => 1
[1,5,6,3,4,2] => [1,0,1,1,1,1,0,1,0,0,0,0] => [(1,2),(3,12),(4,11),(5,10),(6,7),(8,9)] => [(1,2),(3,7),(4,9),(5,10),(6,11),(8,12)] => 1
[1,5,6,4,2,3] => [1,0,1,1,1,1,0,1,0,0,0,0] => [(1,2),(3,12),(4,11),(5,10),(6,7),(8,9)] => [(1,2),(3,7),(4,9),(5,10),(6,11),(8,12)] => 1
[1,5,6,4,3,2] => [1,0,1,1,1,1,0,1,0,0,0,0] => [(1,2),(3,12),(4,11),(5,10),(6,7),(8,9)] => [(1,2),(3,7),(4,9),(5,10),(6,11),(8,12)] => 1
[1,6,2,3,4,5] => [1,0,1,1,1,1,1,0,0,0,0,0] => [(1,2),(3,12),(4,11),(5,10),(6,9),(7,8)] => [(1,2),(3,8),(4,9),(5,10),(6,11),(7,12)] => 1
[1,6,2,3,5,4] => [1,0,1,1,1,1,1,0,0,0,0,0] => [(1,2),(3,12),(4,11),(5,10),(6,9),(7,8)] => [(1,2),(3,8),(4,9),(5,10),(6,11),(7,12)] => 1
[1,6,2,4,3,5] => [1,0,1,1,1,1,1,0,0,0,0,0] => [(1,2),(3,12),(4,11),(5,10),(6,9),(7,8)] => [(1,2),(3,8),(4,9),(5,10),(6,11),(7,12)] => 1
[1,6,2,4,5,3] => [1,0,1,1,1,1,1,0,0,0,0,0] => [(1,2),(3,12),(4,11),(5,10),(6,9),(7,8)] => [(1,2),(3,8),(4,9),(5,10),(6,11),(7,12)] => 1
[1,6,2,5,3,4] => [1,0,1,1,1,1,1,0,0,0,0,0] => [(1,2),(3,12),(4,11),(5,10),(6,9),(7,8)] => [(1,2),(3,8),(4,9),(5,10),(6,11),(7,12)] => 1
[1,6,2,5,4,3] => [1,0,1,1,1,1,1,0,0,0,0,0] => [(1,2),(3,12),(4,11),(5,10),(6,9),(7,8)] => [(1,2),(3,8),(4,9),(5,10),(6,11),(7,12)] => 1
[1,6,3,2,4,5] => [1,0,1,1,1,1,1,0,0,0,0,0] => [(1,2),(3,12),(4,11),(5,10),(6,9),(7,8)] => [(1,2),(3,8),(4,9),(5,10),(6,11),(7,12)] => 1
[1,6,3,2,5,4] => [1,0,1,1,1,1,1,0,0,0,0,0] => [(1,2),(3,12),(4,11),(5,10),(6,9),(7,8)] => [(1,2),(3,8),(4,9),(5,10),(6,11),(7,12)] => 1
[1,6,3,4,2,5] => [1,0,1,1,1,1,1,0,0,0,0,0] => [(1,2),(3,12),(4,11),(5,10),(6,9),(7,8)] => [(1,2),(3,8),(4,9),(5,10),(6,11),(7,12)] => 1
[1,6,3,4,5,2] => [1,0,1,1,1,1,1,0,0,0,0,0] => [(1,2),(3,12),(4,11),(5,10),(6,9),(7,8)] => [(1,2),(3,8),(4,9),(5,10),(6,11),(7,12)] => 1
[1,6,3,5,2,4] => [1,0,1,1,1,1,1,0,0,0,0,0] => [(1,2),(3,12),(4,11),(5,10),(6,9),(7,8)] => [(1,2),(3,8),(4,9),(5,10),(6,11),(7,12)] => 1
[1,6,3,5,4,2] => [1,0,1,1,1,1,1,0,0,0,0,0] => [(1,2),(3,12),(4,11),(5,10),(6,9),(7,8)] => [(1,2),(3,8),(4,9),(5,10),(6,11),(7,12)] => 1
[1,6,4,2,3,5] => [1,0,1,1,1,1,1,0,0,0,0,0] => [(1,2),(3,12),(4,11),(5,10),(6,9),(7,8)] => [(1,2),(3,8),(4,9),(5,10),(6,11),(7,12)] => 1
[1,6,4,2,5,3] => [1,0,1,1,1,1,1,0,0,0,0,0] => [(1,2),(3,12),(4,11),(5,10),(6,9),(7,8)] => [(1,2),(3,8),(4,9),(5,10),(6,11),(7,12)] => 1
[1,6,4,3,2,5] => [1,0,1,1,1,1,1,0,0,0,0,0] => [(1,2),(3,12),(4,11),(5,10),(6,9),(7,8)] => [(1,2),(3,8),(4,9),(5,10),(6,11),(7,12)] => 1
[1,6,4,3,5,2] => [1,0,1,1,1,1,1,0,0,0,0,0] => [(1,2),(3,12),(4,11),(5,10),(6,9),(7,8)] => [(1,2),(3,8),(4,9),(5,10),(6,11),(7,12)] => 1
[1,6,4,5,2,3] => [1,0,1,1,1,1,1,0,0,0,0,0] => [(1,2),(3,12),(4,11),(5,10),(6,9),(7,8)] => [(1,2),(3,8),(4,9),(5,10),(6,11),(7,12)] => 1
[1,6,4,5,3,2] => [1,0,1,1,1,1,1,0,0,0,0,0] => [(1,2),(3,12),(4,11),(5,10),(6,9),(7,8)] => [(1,2),(3,8),(4,9),(5,10),(6,11),(7,12)] => 1
[1,6,5,2,3,4] => [1,0,1,1,1,1,1,0,0,0,0,0] => [(1,2),(3,12),(4,11),(5,10),(6,9),(7,8)] => [(1,2),(3,8),(4,9),(5,10),(6,11),(7,12)] => 1
[1,6,5,2,4,3] => [1,0,1,1,1,1,1,0,0,0,0,0] => [(1,2),(3,12),(4,11),(5,10),(6,9),(7,8)] => [(1,2),(3,8),(4,9),(5,10),(6,11),(7,12)] => 1
[1,6,5,3,2,4] => [1,0,1,1,1,1,1,0,0,0,0,0] => [(1,2),(3,12),(4,11),(5,10),(6,9),(7,8)] => [(1,2),(3,8),(4,9),(5,10),(6,11),(7,12)] => 1
[1,6,5,3,4,2] => [1,0,1,1,1,1,1,0,0,0,0,0] => [(1,2),(3,12),(4,11),(5,10),(6,9),(7,8)] => [(1,2),(3,8),(4,9),(5,10),(6,11),(7,12)] => 1
[1,6,5,4,2,3] => [1,0,1,1,1,1,1,0,0,0,0,0] => [(1,2),(3,12),(4,11),(5,10),(6,9),(7,8)] => [(1,2),(3,8),(4,9),(5,10),(6,11),(7,12)] => 1
[1,6,5,4,3,2] => [1,0,1,1,1,1,1,0,0,0,0,0] => [(1,2),(3,12),(4,11),(5,10),(6,9),(7,8)] => [(1,2),(3,8),(4,9),(5,10),(6,11),(7,12)] => 1
[2,1,3,4,5,6] => [1,1,0,0,1,0,1,0,1,0,1,0] => [(1,4),(2,3),(5,6),(7,8),(9,10),(11,12)] => [(1,3),(2,4),(5,6),(7,8),(9,10),(11,12)] => 4
[2,1,3,4,6,5] => [1,1,0,0,1,0,1,0,1,1,0,0] => [(1,4),(2,3),(5,6),(7,8),(9,12),(10,11)] => [(1,3),(2,4),(5,6),(7,8),(9,11),(10,12)] => 2
[2,1,3,5,4,6] => [1,1,0,0,1,0,1,1,0,0,1,0] => [(1,4),(2,3),(5,6),(7,10),(8,9),(11,12)] => [(1,3),(2,4),(5,6),(7,9),(8,10),(11,12)] => 2
[2,1,3,5,6,4] => [1,1,0,0,1,0,1,1,0,1,0,0] => [(1,4),(2,3),(5,6),(7,12),(8,9),(10,11)] => [(1,3),(2,4),(5,6),(7,9),(8,11),(10,12)] => 1
[2,1,3,6,4,5] => [1,1,0,0,1,0,1,1,1,0,0,0] => [(1,4),(2,3),(5,6),(7,12),(8,11),(9,10)] => [(1,3),(2,4),(5,6),(7,10),(8,11),(9,12)] => 1
[2,1,3,6,5,4] => [1,1,0,0,1,0,1,1,1,0,0,0] => [(1,4),(2,3),(5,6),(7,12),(8,11),(9,10)] => [(1,3),(2,4),(5,6),(7,10),(8,11),(9,12)] => 1
[2,1,4,3,5,6] => [1,1,0,0,1,1,0,0,1,0,1,0] => [(1,4),(2,3),(5,8),(6,7),(9,10),(11,12)] => [(1,3),(2,4),(5,7),(6,8),(9,10),(11,12)] => 2
[2,1,4,3,6,5] => [1,1,0,0,1,1,0,0,1,1,0,0] => [(1,4),(2,3),(5,8),(6,7),(9,12),(10,11)] => [(1,3),(2,4),(5,7),(6,8),(9,11),(10,12)] => 0
[2,1,4,5,3,6] => [1,1,0,0,1,1,0,1,0,0,1,0] => [(1,4),(2,3),(5,10),(6,7),(8,9),(11,12)] => [(1,3),(2,4),(5,7),(6,9),(8,10),(11,12)] => 1
[2,1,4,5,6,3] => [1,1,0,0,1,1,0,1,0,1,0,0] => [(1,4),(2,3),(5,12),(6,7),(8,9),(10,11)] => [(1,3),(2,4),(5,7),(6,9),(8,11),(10,12)] => 0
[2,1,4,6,3,5] => [1,1,0,0,1,1,0,1,1,0,0,0] => [(1,4),(2,3),(5,12),(6,7),(8,11),(9,10)] => [(1,3),(2,4),(5,7),(6,10),(8,11),(9,12)] => 0
[2,1,4,6,5,3] => [1,1,0,0,1,1,0,1,1,0,0,0] => [(1,4),(2,3),(5,12),(6,7),(8,11),(9,10)] => [(1,3),(2,4),(5,7),(6,10),(8,11),(9,12)] => 0
[2,1,5,3,4,6] => [1,1,0,0,1,1,1,0,0,0,1,0] => [(1,4),(2,3),(5,10),(6,9),(7,8),(11,12)] => [(1,3),(2,4),(5,8),(6,9),(7,10),(11,12)] => 1
[2,1,5,3,6,4] => [1,1,0,0,1,1,1,0,0,1,0,0] => [(1,4),(2,3),(5,12),(6,9),(7,8),(10,11)] => [(1,3),(2,4),(5,8),(6,9),(7,11),(10,12)] => 0
[2,1,5,4,3,6] => [1,1,0,0,1,1,1,0,0,0,1,0] => [(1,4),(2,3),(5,10),(6,9),(7,8),(11,12)] => [(1,3),(2,4),(5,8),(6,9),(7,10),(11,12)] => 1
[2,1,5,4,6,3] => [1,1,0,0,1,1,1,0,0,1,0,0] => [(1,4),(2,3),(5,12),(6,9),(7,8),(10,11)] => [(1,3),(2,4),(5,8),(6,9),(7,11),(10,12)] => 0
[2,1,5,6,3,4] => [1,1,0,0,1,1,1,0,1,0,0,0] => [(1,4),(2,3),(5,12),(6,11),(7,8),(9,10)] => [(1,3),(2,4),(5,8),(6,10),(7,11),(9,12)] => 0
[2,1,5,6,4,3] => [1,1,0,0,1,1,1,0,1,0,0,0] => [(1,4),(2,3),(5,12),(6,11),(7,8),(9,10)] => [(1,3),(2,4),(5,8),(6,10),(7,11),(9,12)] => 0
[2,1,6,3,4,5] => [1,1,0,0,1,1,1,1,0,0,0,0] => [(1,4),(2,3),(5,12),(6,11),(7,10),(8,9)] => [(1,3),(2,4),(5,9),(6,10),(7,11),(8,12)] => 0
[2,1,6,3,5,4] => [1,1,0,0,1,1,1,1,0,0,0,0] => [(1,4),(2,3),(5,12),(6,11),(7,10),(8,9)] => [(1,3),(2,4),(5,9),(6,10),(7,11),(8,12)] => 0
[2,1,6,4,3,5] => [1,1,0,0,1,1,1,1,0,0,0,0] => [(1,4),(2,3),(5,12),(6,11),(7,10),(8,9)] => [(1,3),(2,4),(5,9),(6,10),(7,11),(8,12)] => 0
[2,1,6,4,5,3] => [1,1,0,0,1,1,1,1,0,0,0,0] => [(1,4),(2,3),(5,12),(6,11),(7,10),(8,9)] => [(1,3),(2,4),(5,9),(6,10),(7,11),(8,12)] => 0
[2,1,6,5,3,4] => [1,1,0,0,1,1,1,1,0,0,0,0] => [(1,4),(2,3),(5,12),(6,11),(7,10),(8,9)] => [(1,3),(2,4),(5,9),(6,10),(7,11),(8,12)] => 0
[2,1,6,5,4,3] => [1,1,0,0,1,1,1,1,0,0,0,0] => [(1,4),(2,3),(5,12),(6,11),(7,10),(8,9)] => [(1,3),(2,4),(5,9),(6,10),(7,11),(8,12)] => 0
[2,3,1,4,5,6] => [1,1,0,1,0,0,1,0,1,0,1,0] => [(1,6),(2,3),(4,5),(7,8),(9,10),(11,12)] => [(1,3),(2,5),(4,6),(7,8),(9,10),(11,12)] => 3
[2,3,1,4,6,5] => [1,1,0,1,0,0,1,0,1,1,0,0] => [(1,6),(2,3),(4,5),(7,8),(9,12),(10,11)] => [(1,3),(2,5),(4,6),(7,8),(9,11),(10,12)] => 1
[2,3,1,5,4,6] => [1,1,0,1,0,0,1,1,0,0,1,0] => [(1,6),(2,3),(4,5),(7,10),(8,9),(11,12)] => [(1,3),(2,5),(4,6),(7,9),(8,10),(11,12)] => 1
[2,3,1,5,6,4] => [1,1,0,1,0,0,1,1,0,1,0,0] => [(1,6),(2,3),(4,5),(7,12),(8,9),(10,11)] => [(1,3),(2,5),(4,6),(7,9),(8,11),(10,12)] => 0
[2,3,1,6,4,5] => [1,1,0,1,0,0,1,1,1,0,0,0] => [(1,6),(2,3),(4,5),(7,12),(8,11),(9,10)] => [(1,3),(2,5),(4,6),(7,10),(8,11),(9,12)] => 0
[2,3,1,6,5,4] => [1,1,0,1,0,0,1,1,1,0,0,0] => [(1,6),(2,3),(4,5),(7,12),(8,11),(9,10)] => [(1,3),(2,5),(4,6),(7,10),(8,11),(9,12)] => 0
[2,3,4,1,5,6] => [1,1,0,1,0,1,0,0,1,0,1,0] => [(1,8),(2,3),(4,5),(6,7),(9,10),(11,12)] => [(1,3),(2,5),(4,7),(6,8),(9,10),(11,12)] => 2
[2,3,4,1,6,5] => [1,1,0,1,0,1,0,0,1,1,0,0] => [(1,8),(2,3),(4,5),(6,7),(9,12),(10,11)] => [(1,3),(2,5),(4,7),(6,8),(9,11),(10,12)] => 0
[2,3,4,5,1,6] => [1,1,0,1,0,1,0,1,0,0,1,0] => [(1,10),(2,3),(4,5),(6,7),(8,9),(11,12)] => [(1,3),(2,5),(4,7),(6,9),(8,10),(11,12)] => 1
[2,3,4,5,6,1] => [1,1,0,1,0,1,0,1,0,1,0,0] => [(1,12),(2,3),(4,5),(6,7),(8,9),(10,11)] => [(1,3),(2,5),(4,7),(6,9),(8,11),(10,12)] => 0
[2,3,4,6,1,5] => [1,1,0,1,0,1,0,1,1,0,0,0] => [(1,12),(2,3),(4,5),(6,7),(8,11),(9,10)] => [(1,3),(2,5),(4,7),(6,10),(8,11),(9,12)] => 0
[2,3,4,6,5,1] => [1,1,0,1,0,1,0,1,1,0,0,0] => [(1,12),(2,3),(4,5),(6,7),(8,11),(9,10)] => [(1,3),(2,5),(4,7),(6,10),(8,11),(9,12)] => 0
[2,3,5,1,4,6] => [1,1,0,1,0,1,1,0,0,0,1,0] => [(1,10),(2,3),(4,5),(6,9),(7,8),(11,12)] => [(1,3),(2,5),(4,8),(6,9),(7,10),(11,12)] => 1
[2,3,5,1,6,4] => [1,1,0,1,0,1,1,0,0,1,0,0] => [(1,12),(2,3),(4,5),(6,9),(7,8),(10,11)] => [(1,3),(2,5),(4,8),(6,9),(7,11),(10,12)] => 0
[2,3,5,4,1,6] => [1,1,0,1,0,1,1,0,0,0,1,0] => [(1,10),(2,3),(4,5),(6,9),(7,8),(11,12)] => [(1,3),(2,5),(4,8),(6,9),(7,10),(11,12)] => 1
[2,3,5,4,6,1] => [1,1,0,1,0,1,1,0,0,1,0,0] => [(1,12),(2,3),(4,5),(6,9),(7,8),(10,11)] => [(1,3),(2,5),(4,8),(6,9),(7,11),(10,12)] => 0
[2,3,5,6,1,4] => [1,1,0,1,0,1,1,0,1,0,0,0] => [(1,12),(2,3),(4,5),(6,11),(7,8),(9,10)] => [(1,3),(2,5),(4,8),(6,10),(7,11),(9,12)] => 0
[2,3,5,6,4,1] => [1,1,0,1,0,1,1,0,1,0,0,0] => [(1,12),(2,3),(4,5),(6,11),(7,8),(9,10)] => [(1,3),(2,5),(4,8),(6,10),(7,11),(9,12)] => 0
[2,3,6,1,4,5] => [1,1,0,1,0,1,1,1,0,0,0,0] => [(1,12),(2,3),(4,5),(6,11),(7,10),(8,9)] => [(1,3),(2,5),(4,9),(6,10),(7,11),(8,12)] => 0
[2,3,6,1,5,4] => [1,1,0,1,0,1,1,1,0,0,0,0] => [(1,12),(2,3),(4,5),(6,11),(7,10),(8,9)] => [(1,3),(2,5),(4,9),(6,10),(7,11),(8,12)] => 0
[2,3,6,4,1,5] => [1,1,0,1,0,1,1,1,0,0,0,0] => [(1,12),(2,3),(4,5),(6,11),(7,10),(8,9)] => [(1,3),(2,5),(4,9),(6,10),(7,11),(8,12)] => 0
[2,3,6,4,5,1] => [1,1,0,1,0,1,1,1,0,0,0,0] => [(1,12),(2,3),(4,5),(6,11),(7,10),(8,9)] => [(1,3),(2,5),(4,9),(6,10),(7,11),(8,12)] => 0
[2,3,6,5,1,4] => [1,1,0,1,0,1,1,1,0,0,0,0] => [(1,12),(2,3),(4,5),(6,11),(7,10),(8,9)] => [(1,3),(2,5),(4,9),(6,10),(7,11),(8,12)] => 0
[2,3,6,5,4,1] => [1,1,0,1,0,1,1,1,0,0,0,0] => [(1,12),(2,3),(4,5),(6,11),(7,10),(8,9)] => [(1,3),(2,5),(4,9),(6,10),(7,11),(8,12)] => 0
[2,4,1,3,5,6] => [1,1,0,1,1,0,0,0,1,0,1,0] => [(1,8),(2,3),(4,7),(5,6),(9,10),(11,12)] => [(1,3),(2,6),(4,7),(5,8),(9,10),(11,12)] => 2
[2,4,1,3,6,5] => [1,1,0,1,1,0,0,0,1,1,0,0] => [(1,8),(2,3),(4,7),(5,6),(9,12),(10,11)] => [(1,3),(2,6),(4,7),(5,8),(9,11),(10,12)] => 0
[2,4,1,5,3,6] => [1,1,0,1,1,0,0,1,0,0,1,0] => [(1,10),(2,3),(4,7),(5,6),(8,9),(11,12)] => [(1,3),(2,6),(4,7),(5,9),(8,10),(11,12)] => 1
[2,4,1,5,6,3] => [1,1,0,1,1,0,0,1,0,1,0,0] => [(1,12),(2,3),(4,7),(5,6),(8,9),(10,11)] => [(1,3),(2,6),(4,7),(5,9),(8,11),(10,12)] => 0
[2,4,1,6,3,5] => [1,1,0,1,1,0,0,1,1,0,0,0] => [(1,12),(2,3),(4,7),(5,6),(8,11),(9,10)] => [(1,3),(2,6),(4,7),(5,10),(8,11),(9,12)] => 0
[2,4,1,6,5,3] => [1,1,0,1,1,0,0,1,1,0,0,0] => [(1,12),(2,3),(4,7),(5,6),(8,11),(9,10)] => [(1,3),(2,6),(4,7),(5,10),(8,11),(9,12)] => 0
[2,4,3,1,5,6] => [1,1,0,1,1,0,0,0,1,0,1,0] => [(1,8),(2,3),(4,7),(5,6),(9,10),(11,12)] => [(1,3),(2,6),(4,7),(5,8),(9,10),(11,12)] => 2
[2,4,3,1,6,5] => [1,1,0,1,1,0,0,0,1,1,0,0] => [(1,8),(2,3),(4,7),(5,6),(9,12),(10,11)] => [(1,3),(2,6),(4,7),(5,8),(9,11),(10,12)] => 0
[2,4,3,5,1,6] => [1,1,0,1,1,0,0,1,0,0,1,0] => [(1,10),(2,3),(4,7),(5,6),(8,9),(11,12)] => [(1,3),(2,6),(4,7),(5,9),(8,10),(11,12)] => 1
[2,4,3,5,6,1] => [1,1,0,1,1,0,0,1,0,1,0,0] => [(1,12),(2,3),(4,7),(5,6),(8,9),(10,11)] => [(1,3),(2,6),(4,7),(5,9),(8,11),(10,12)] => 0
[2,4,3,6,1,5] => [1,1,0,1,1,0,0,1,1,0,0,0] => [(1,12),(2,3),(4,7),(5,6),(8,11),(9,10)] => [(1,3),(2,6),(4,7),(5,10),(8,11),(9,12)] => 0
[2,4,3,6,5,1] => [1,1,0,1,1,0,0,1,1,0,0,0] => [(1,12),(2,3),(4,7),(5,6),(8,11),(9,10)] => [(1,3),(2,6),(4,7),(5,10),(8,11),(9,12)] => 0
[2,4,5,1,3,6] => [1,1,0,1,1,0,1,0,0,0,1,0] => [(1,10),(2,3),(4,9),(5,6),(7,8),(11,12)] => [(1,3),(2,6),(4,8),(5,9),(7,10),(11,12)] => 1
[2,4,5,1,6,3] => [1,1,0,1,1,0,1,0,0,1,0,0] => [(1,12),(2,3),(4,9),(5,6),(7,8),(10,11)] => [(1,3),(2,6),(4,8),(5,9),(7,11),(10,12)] => 0
[2,4,5,3,1,6] => [1,1,0,1,1,0,1,0,0,0,1,0] => [(1,10),(2,3),(4,9),(5,6),(7,8),(11,12)] => [(1,3),(2,6),(4,8),(5,9),(7,10),(11,12)] => 1
[2,4,5,3,6,1] => [1,1,0,1,1,0,1,0,0,1,0,0] => [(1,12),(2,3),(4,9),(5,6),(7,8),(10,11)] => [(1,3),(2,6),(4,8),(5,9),(7,11),(10,12)] => 0
[2,4,5,6,1,3] => [1,1,0,1,1,0,1,0,1,0,0,0] => [(1,12),(2,3),(4,11),(5,6),(7,8),(9,10)] => [(1,3),(2,6),(4,8),(5,10),(7,11),(9,12)] => 0
[2,4,5,6,3,1] => [1,1,0,1,1,0,1,0,1,0,0,0] => [(1,12),(2,3),(4,11),(5,6),(7,8),(9,10)] => [(1,3),(2,6),(4,8),(5,10),(7,11),(9,12)] => 0
[2,4,6,1,3,5] => [1,1,0,1,1,0,1,1,0,0,0,0] => [(1,12),(2,3),(4,11),(5,6),(7,10),(8,9)] => [(1,3),(2,6),(4,9),(5,10),(7,11),(8,12)] => 0
[2,4,6,1,5,3] => [1,1,0,1,1,0,1,1,0,0,0,0] => [(1,12),(2,3),(4,11),(5,6),(7,10),(8,9)] => [(1,3),(2,6),(4,9),(5,10),(7,11),(8,12)] => 0
[2,4,6,3,1,5] => [1,1,0,1,1,0,1,1,0,0,0,0] => [(1,12),(2,3),(4,11),(5,6),(7,10),(8,9)] => [(1,3),(2,6),(4,9),(5,10),(7,11),(8,12)] => 0
[2,4,6,3,5,1] => [1,1,0,1,1,0,1,1,0,0,0,0] => [(1,12),(2,3),(4,11),(5,6),(7,10),(8,9)] => [(1,3),(2,6),(4,9),(5,10),(7,11),(8,12)] => 0
[2,4,6,5,1,3] => [1,1,0,1,1,0,1,1,0,0,0,0] => [(1,12),(2,3),(4,11),(5,6),(7,10),(8,9)] => [(1,3),(2,6),(4,9),(5,10),(7,11),(8,12)] => 0
[2,4,6,5,3,1] => [1,1,0,1,1,0,1,1,0,0,0,0] => [(1,12),(2,3),(4,11),(5,6),(7,10),(8,9)] => [(1,3),(2,6),(4,9),(5,10),(7,11),(8,12)] => 0
[2,5,1,3,4,6] => [1,1,0,1,1,1,0,0,0,0,1,0] => [(1,10),(2,3),(4,9),(5,8),(6,7),(11,12)] => [(1,3),(2,7),(4,8),(5,9),(6,10),(11,12)] => 1
[2,5,1,3,6,4] => [1,1,0,1,1,1,0,0,0,1,0,0] => [(1,12),(2,3),(4,9),(5,8),(6,7),(10,11)] => [(1,3),(2,7),(4,8),(5,9),(6,11),(10,12)] => 0
[2,5,1,4,3,6] => [1,1,0,1,1,1,0,0,0,0,1,0] => [(1,10),(2,3),(4,9),(5,8),(6,7),(11,12)] => [(1,3),(2,7),(4,8),(5,9),(6,10),(11,12)] => 1
[2,5,1,4,6,3] => [1,1,0,1,1,1,0,0,0,1,0,0] => [(1,12),(2,3),(4,9),(5,8),(6,7),(10,11)] => [(1,3),(2,7),(4,8),(5,9),(6,11),(10,12)] => 0
[2,5,1,6,3,4] => [1,1,0,1,1,1,0,0,1,0,0,0] => [(1,12),(2,3),(4,11),(5,8),(6,7),(9,10)] => [(1,3),(2,7),(4,8),(5,10),(6,11),(9,12)] => 0
[2,5,1,6,4,3] => [1,1,0,1,1,1,0,0,1,0,0,0] => [(1,12),(2,3),(4,11),(5,8),(6,7),(9,10)] => [(1,3),(2,7),(4,8),(5,10),(6,11),(9,12)] => 0
[2,5,3,1,4,6] => [1,1,0,1,1,1,0,0,0,0,1,0] => [(1,10),(2,3),(4,9),(5,8),(6,7),(11,12)] => [(1,3),(2,7),(4,8),(5,9),(6,10),(11,12)] => 1
[2,5,3,1,6,4] => [1,1,0,1,1,1,0,0,0,1,0,0] => [(1,12),(2,3),(4,9),(5,8),(6,7),(10,11)] => [(1,3),(2,7),(4,8),(5,9),(6,11),(10,12)] => 0
[2,5,3,4,1,6] => [1,1,0,1,1,1,0,0,0,0,1,0] => [(1,10),(2,3),(4,9),(5,8),(6,7),(11,12)] => [(1,3),(2,7),(4,8),(5,9),(6,10),(11,12)] => 1
[2,5,3,4,6,1] => [1,1,0,1,1,1,0,0,0,1,0,0] => [(1,12),(2,3),(4,9),(5,8),(6,7),(10,11)] => [(1,3),(2,7),(4,8),(5,9),(6,11),(10,12)] => 0
[2,5,3,6,1,4] => [1,1,0,1,1,1,0,0,1,0,0,0] => [(1,12),(2,3),(4,11),(5,8),(6,7),(9,10)] => [(1,3),(2,7),(4,8),(5,10),(6,11),(9,12)] => 0
[2,5,3,6,4,1] => [1,1,0,1,1,1,0,0,1,0,0,0] => [(1,12),(2,3),(4,11),(5,8),(6,7),(9,10)] => [(1,3),(2,7),(4,8),(5,10),(6,11),(9,12)] => 0
[2,5,4,1,3,6] => [1,1,0,1,1,1,0,0,0,0,1,0] => [(1,10),(2,3),(4,9),(5,8),(6,7),(11,12)] => [(1,3),(2,7),(4,8),(5,9),(6,10),(11,12)] => 1
[2,5,4,1,6,3] => [1,1,0,1,1,1,0,0,0,1,0,0] => [(1,12),(2,3),(4,9),(5,8),(6,7),(10,11)] => [(1,3),(2,7),(4,8),(5,9),(6,11),(10,12)] => 0
[2,5,4,3,1,6] => [1,1,0,1,1,1,0,0,0,0,1,0] => [(1,10),(2,3),(4,9),(5,8),(6,7),(11,12)] => [(1,3),(2,7),(4,8),(5,9),(6,10),(11,12)] => 1
[2,5,4,3,6,1] => [1,1,0,1,1,1,0,0,0,1,0,0] => [(1,12),(2,3),(4,9),(5,8),(6,7),(10,11)] => [(1,3),(2,7),(4,8),(5,9),(6,11),(10,12)] => 0
[2,5,4,6,1,3] => [1,1,0,1,1,1,0,0,1,0,0,0] => [(1,12),(2,3),(4,11),(5,8),(6,7),(9,10)] => [(1,3),(2,7),(4,8),(5,10),(6,11),(9,12)] => 0
[2,5,4,6,3,1] => [1,1,0,1,1,1,0,0,1,0,0,0] => [(1,12),(2,3),(4,11),(5,8),(6,7),(9,10)] => [(1,3),(2,7),(4,8),(5,10),(6,11),(9,12)] => 0
[2,5,6,1,3,4] => [1,1,0,1,1,1,0,1,0,0,0,0] => [(1,12),(2,3),(4,11),(5,10),(6,7),(8,9)] => [(1,3),(2,7),(4,9),(5,10),(6,11),(8,12)] => 0
[2,5,6,1,4,3] => [1,1,0,1,1,1,0,1,0,0,0,0] => [(1,12),(2,3),(4,11),(5,10),(6,7),(8,9)] => [(1,3),(2,7),(4,9),(5,10),(6,11),(8,12)] => 0
[2,5,6,3,1,4] => [1,1,0,1,1,1,0,1,0,0,0,0] => [(1,12),(2,3),(4,11),(5,10),(6,7),(8,9)] => [(1,3),(2,7),(4,9),(5,10),(6,11),(8,12)] => 0
[2,5,6,3,4,1] => [1,1,0,1,1,1,0,1,0,0,0,0] => [(1,12),(2,3),(4,11),(5,10),(6,7),(8,9)] => [(1,3),(2,7),(4,9),(5,10),(6,11),(8,12)] => 0
[2,5,6,4,1,3] => [1,1,0,1,1,1,0,1,0,0,0,0] => [(1,12),(2,3),(4,11),(5,10),(6,7),(8,9)] => [(1,3),(2,7),(4,9),(5,10),(6,11),(8,12)] => 0
[2,5,6,4,3,1] => [1,1,0,1,1,1,0,1,0,0,0,0] => [(1,12),(2,3),(4,11),(5,10),(6,7),(8,9)] => [(1,3),(2,7),(4,9),(5,10),(6,11),(8,12)] => 0
[2,6,1,3,4,5] => [1,1,0,1,1,1,1,0,0,0,0,0] => [(1,12),(2,3),(4,11),(5,10),(6,9),(7,8)] => [(1,3),(2,8),(4,9),(5,10),(6,11),(7,12)] => 0
[2,6,1,3,5,4] => [1,1,0,1,1,1,1,0,0,0,0,0] => [(1,12),(2,3),(4,11),(5,10),(6,9),(7,8)] => [(1,3),(2,8),(4,9),(5,10),(6,11),(7,12)] => 0
[2,6,1,4,3,5] => [1,1,0,1,1,1,1,0,0,0,0,0] => [(1,12),(2,3),(4,11),(5,10),(6,9),(7,8)] => [(1,3),(2,8),(4,9),(5,10),(6,11),(7,12)] => 0
[2,6,1,4,5,3] => [1,1,0,1,1,1,1,0,0,0,0,0] => [(1,12),(2,3),(4,11),(5,10),(6,9),(7,8)] => [(1,3),(2,8),(4,9),(5,10),(6,11),(7,12)] => 0
[2,6,1,5,3,4] => [1,1,0,1,1,1,1,0,0,0,0,0] => [(1,12),(2,3),(4,11),(5,10),(6,9),(7,8)] => [(1,3),(2,8),(4,9),(5,10),(6,11),(7,12)] => 0
[2,6,1,5,4,3] => [1,1,0,1,1,1,1,0,0,0,0,0] => [(1,12),(2,3),(4,11),(5,10),(6,9),(7,8)] => [(1,3),(2,8),(4,9),(5,10),(6,11),(7,12)] => 0
[2,6,3,1,4,5] => [1,1,0,1,1,1,1,0,0,0,0,0] => [(1,12),(2,3),(4,11),(5,10),(6,9),(7,8)] => [(1,3),(2,8),(4,9),(5,10),(6,11),(7,12)] => 0
[2,6,3,1,5,4] => [1,1,0,1,1,1,1,0,0,0,0,0] => [(1,12),(2,3),(4,11),(5,10),(6,9),(7,8)] => [(1,3),(2,8),(4,9),(5,10),(6,11),(7,12)] => 0
[2,6,3,4,1,5] => [1,1,0,1,1,1,1,0,0,0,0,0] => [(1,12),(2,3),(4,11),(5,10),(6,9),(7,8)] => [(1,3),(2,8),(4,9),(5,10),(6,11),(7,12)] => 0
[2,6,3,4,5,1] => [1,1,0,1,1,1,1,0,0,0,0,0] => [(1,12),(2,3),(4,11),(5,10),(6,9),(7,8)] => [(1,3),(2,8),(4,9),(5,10),(6,11),(7,12)] => 0
[2,6,3,5,1,4] => [1,1,0,1,1,1,1,0,0,0,0,0] => [(1,12),(2,3),(4,11),(5,10),(6,9),(7,8)] => [(1,3),(2,8),(4,9),(5,10),(6,11),(7,12)] => 0
[2,6,3,5,4,1] => [1,1,0,1,1,1,1,0,0,0,0,0] => [(1,12),(2,3),(4,11),(5,10),(6,9),(7,8)] => [(1,3),(2,8),(4,9),(5,10),(6,11),(7,12)] => 0
[2,6,4,1,3,5] => [1,1,0,1,1,1,1,0,0,0,0,0] => [(1,12),(2,3),(4,11),(5,10),(6,9),(7,8)] => [(1,3),(2,8),(4,9),(5,10),(6,11),(7,12)] => 0
[2,6,4,1,5,3] => [1,1,0,1,1,1,1,0,0,0,0,0] => [(1,12),(2,3),(4,11),(5,10),(6,9),(7,8)] => [(1,3),(2,8),(4,9),(5,10),(6,11),(7,12)] => 0
[2,6,4,3,1,5] => [1,1,0,1,1,1,1,0,0,0,0,0] => [(1,12),(2,3),(4,11),(5,10),(6,9),(7,8)] => [(1,3),(2,8),(4,9),(5,10),(6,11),(7,12)] => 0
[2,6,4,3,5,1] => [1,1,0,1,1,1,1,0,0,0,0,0] => [(1,12),(2,3),(4,11),(5,10),(6,9),(7,8)] => [(1,3),(2,8),(4,9),(5,10),(6,11),(7,12)] => 0
[2,6,4,5,1,3] => [1,1,0,1,1,1,1,0,0,0,0,0] => [(1,12),(2,3),(4,11),(5,10),(6,9),(7,8)] => [(1,3),(2,8),(4,9),(5,10),(6,11),(7,12)] => 0
[2,6,4,5,3,1] => [1,1,0,1,1,1,1,0,0,0,0,0] => [(1,12),(2,3),(4,11),(5,10),(6,9),(7,8)] => [(1,3),(2,8),(4,9),(5,10),(6,11),(7,12)] => 0
[2,6,5,1,3,4] => [1,1,0,1,1,1,1,0,0,0,0,0] => [(1,12),(2,3),(4,11),(5,10),(6,9),(7,8)] => [(1,3),(2,8),(4,9),(5,10),(6,11),(7,12)] => 0
[2,6,5,1,4,3] => [1,1,0,1,1,1,1,0,0,0,0,0] => [(1,12),(2,3),(4,11),(5,10),(6,9),(7,8)] => [(1,3),(2,8),(4,9),(5,10),(6,11),(7,12)] => 0
[2,6,5,3,1,4] => [1,1,0,1,1,1,1,0,0,0,0,0] => [(1,12),(2,3),(4,11),(5,10),(6,9),(7,8)] => [(1,3),(2,8),(4,9),(5,10),(6,11),(7,12)] => 0
[2,6,5,3,4,1] => [1,1,0,1,1,1,1,0,0,0,0,0] => [(1,12),(2,3),(4,11),(5,10),(6,9),(7,8)] => [(1,3),(2,8),(4,9),(5,10),(6,11),(7,12)] => 0
[2,6,5,4,1,3] => [1,1,0,1,1,1,1,0,0,0,0,0] => [(1,12),(2,3),(4,11),(5,10),(6,9),(7,8)] => [(1,3),(2,8),(4,9),(5,10),(6,11),(7,12)] => 0
[2,6,5,4,3,1] => [1,1,0,1,1,1,1,0,0,0,0,0] => [(1,12),(2,3),(4,11),(5,10),(6,9),(7,8)] => [(1,3),(2,8),(4,9),(5,10),(6,11),(7,12)] => 0
[3,1,2,4,5,6] => [1,1,1,0,0,0,1,0,1,0,1,0] => [(1,6),(2,5),(3,4),(7,8),(9,10),(11,12)] => [(1,4),(2,5),(3,6),(7,8),(9,10),(11,12)] => 3
[3,1,2,4,6,5] => [1,1,1,0,0,0,1,0,1,1,0,0] => [(1,6),(2,5),(3,4),(7,8),(9,12),(10,11)] => [(1,4),(2,5),(3,6),(7,8),(9,11),(10,12)] => 1
[3,1,2,5,4,6] => [1,1,1,0,0,0,1,1,0,0,1,0] => [(1,6),(2,5),(3,4),(7,10),(8,9),(11,12)] => [(1,4),(2,5),(3,6),(7,9),(8,10),(11,12)] => 1
[3,1,2,5,6,4] => [1,1,1,0,0,0,1,1,0,1,0,0] => [(1,6),(2,5),(3,4),(7,12),(8,9),(10,11)] => [(1,4),(2,5),(3,6),(7,9),(8,11),(10,12)] => 0
[3,1,2,6,4,5] => [1,1,1,0,0,0,1,1,1,0,0,0] => [(1,6),(2,5),(3,4),(7,12),(8,11),(9,10)] => [(1,4),(2,5),(3,6),(7,10),(8,11),(9,12)] => 0
[3,1,2,6,5,4] => [1,1,1,0,0,0,1,1,1,0,0,0] => [(1,6),(2,5),(3,4),(7,12),(8,11),(9,10)] => [(1,4),(2,5),(3,6),(7,10),(8,11),(9,12)] => 0
[3,1,4,2,5,6] => [1,1,1,0,0,1,0,0,1,0,1,0] => [(1,8),(2,5),(3,4),(6,7),(9,10),(11,12)] => [(1,4),(2,5),(3,7),(6,8),(9,10),(11,12)] => 2
[3,1,4,2,6,5] => [1,1,1,0,0,1,0,0,1,1,0,0] => [(1,8),(2,5),(3,4),(6,7),(9,12),(10,11)] => [(1,4),(2,5),(3,7),(6,8),(9,11),(10,12)] => 0
[3,1,4,5,2,6] => [1,1,1,0,0,1,0,1,0,0,1,0] => [(1,10),(2,5),(3,4),(6,7),(8,9),(11,12)] => [(1,4),(2,5),(3,7),(6,9),(8,10),(11,12)] => 1
[3,1,4,5,6,2] => [1,1,1,0,0,1,0,1,0,1,0,0] => [(1,12),(2,5),(3,4),(6,7),(8,9),(10,11)] => [(1,4),(2,5),(3,7),(6,9),(8,11),(10,12)] => 0
[3,1,4,6,2,5] => [1,1,1,0,0,1,0,1,1,0,0,0] => [(1,12),(2,5),(3,4),(6,7),(8,11),(9,10)] => [(1,4),(2,5),(3,7),(6,10),(8,11),(9,12)] => 0
[3,1,4,6,5,2] => [1,1,1,0,0,1,0,1,1,0,0,0] => [(1,12),(2,5),(3,4),(6,7),(8,11),(9,10)] => [(1,4),(2,5),(3,7),(6,10),(8,11),(9,12)] => 0
[3,1,5,2,4,6] => [1,1,1,0,0,1,1,0,0,0,1,0] => [(1,10),(2,5),(3,4),(6,9),(7,8),(11,12)] => [(1,4),(2,5),(3,8),(6,9),(7,10),(11,12)] => 1
[3,1,5,2,6,4] => [1,1,1,0,0,1,1,0,0,1,0,0] => [(1,12),(2,5),(3,4),(6,9),(7,8),(10,11)] => [(1,4),(2,5),(3,8),(6,9),(7,11),(10,12)] => 0
[3,1,5,4,2,6] => [1,1,1,0,0,1,1,0,0,0,1,0] => [(1,10),(2,5),(3,4),(6,9),(7,8),(11,12)] => [(1,4),(2,5),(3,8),(6,9),(7,10),(11,12)] => 1
[3,1,5,4,6,2] => [1,1,1,0,0,1,1,0,0,1,0,0] => [(1,12),(2,5),(3,4),(6,9),(7,8),(10,11)] => [(1,4),(2,5),(3,8),(6,9),(7,11),(10,12)] => 0
[3,1,5,6,2,4] => [1,1,1,0,0,1,1,0,1,0,0,0] => [(1,12),(2,5),(3,4),(6,11),(7,8),(9,10)] => [(1,4),(2,5),(3,8),(6,10),(7,11),(9,12)] => 0
[3,1,5,6,4,2] => [1,1,1,0,0,1,1,0,1,0,0,0] => [(1,12),(2,5),(3,4),(6,11),(7,8),(9,10)] => [(1,4),(2,5),(3,8),(6,10),(7,11),(9,12)] => 0
[3,1,6,2,4,5] => [1,1,1,0,0,1,1,1,0,0,0,0] => [(1,12),(2,5),(3,4),(6,11),(7,10),(8,9)] => [(1,4),(2,5),(3,9),(6,10),(7,11),(8,12)] => 0
[3,1,6,2,5,4] => [1,1,1,0,0,1,1,1,0,0,0,0] => [(1,12),(2,5),(3,4),(6,11),(7,10),(8,9)] => [(1,4),(2,5),(3,9),(6,10),(7,11),(8,12)] => 0
[3,1,6,4,2,5] => [1,1,1,0,0,1,1,1,0,0,0,0] => [(1,12),(2,5),(3,4),(6,11),(7,10),(8,9)] => [(1,4),(2,5),(3,9),(6,10),(7,11),(8,12)] => 0
[3,1,6,4,5,2] => [1,1,1,0,0,1,1,1,0,0,0,0] => [(1,12),(2,5),(3,4),(6,11),(7,10),(8,9)] => [(1,4),(2,5),(3,9),(6,10),(7,11),(8,12)] => 0
[3,1,6,5,2,4] => [1,1,1,0,0,1,1,1,0,0,0,0] => [(1,12),(2,5),(3,4),(6,11),(7,10),(8,9)] => [(1,4),(2,5),(3,9),(6,10),(7,11),(8,12)] => 0
[3,1,6,5,4,2] => [1,1,1,0,0,1,1,1,0,0,0,0] => [(1,12),(2,5),(3,4),(6,11),(7,10),(8,9)] => [(1,4),(2,5),(3,9),(6,10),(7,11),(8,12)] => 0
[3,2,1,4,5,6] => [1,1,1,0,0,0,1,0,1,0,1,0] => [(1,6),(2,5),(3,4),(7,8),(9,10),(11,12)] => [(1,4),(2,5),(3,6),(7,8),(9,10),(11,12)] => 3
[3,2,1,4,6,5] => [1,1,1,0,0,0,1,0,1,1,0,0] => [(1,6),(2,5),(3,4),(7,8),(9,12),(10,11)] => [(1,4),(2,5),(3,6),(7,8),(9,11),(10,12)] => 1
[3,2,1,5,4,6] => [1,1,1,0,0,0,1,1,0,0,1,0] => [(1,6),(2,5),(3,4),(7,10),(8,9),(11,12)] => [(1,4),(2,5),(3,6),(7,9),(8,10),(11,12)] => 1
[3,2,1,5,6,4] => [1,1,1,0,0,0,1,1,0,1,0,0] => [(1,6),(2,5),(3,4),(7,12),(8,9),(10,11)] => [(1,4),(2,5),(3,6),(7,9),(8,11),(10,12)] => 0
[3,2,1,6,4,5] => [1,1,1,0,0,0,1,1,1,0,0,0] => [(1,6),(2,5),(3,4),(7,12),(8,11),(9,10)] => [(1,4),(2,5),(3,6),(7,10),(8,11),(9,12)] => 0
[3,2,1,6,5,4] => [1,1,1,0,0,0,1,1,1,0,0,0] => [(1,6),(2,5),(3,4),(7,12),(8,11),(9,10)] => [(1,4),(2,5),(3,6),(7,10),(8,11),(9,12)] => 0
[3,2,4,1,5,6] => [1,1,1,0,0,1,0,0,1,0,1,0] => [(1,8),(2,5),(3,4),(6,7),(9,10),(11,12)] => [(1,4),(2,5),(3,7),(6,8),(9,10),(11,12)] => 2
[3,2,4,1,6,5] => [1,1,1,0,0,1,0,0,1,1,0,0] => [(1,8),(2,5),(3,4),(6,7),(9,12),(10,11)] => [(1,4),(2,5),(3,7),(6,8),(9,11),(10,12)] => 0
[3,2,4,5,1,6] => [1,1,1,0,0,1,0,1,0,0,1,0] => [(1,10),(2,5),(3,4),(6,7),(8,9),(11,12)] => [(1,4),(2,5),(3,7),(6,9),(8,10),(11,12)] => 1
[3,2,4,5,6,1] => [1,1,1,0,0,1,0,1,0,1,0,0] => [(1,12),(2,5),(3,4),(6,7),(8,9),(10,11)] => [(1,4),(2,5),(3,7),(6,9),(8,11),(10,12)] => 0
[3,2,4,6,1,5] => [1,1,1,0,0,1,0,1,1,0,0,0] => [(1,12),(2,5),(3,4),(6,7),(8,11),(9,10)] => [(1,4),(2,5),(3,7),(6,10),(8,11),(9,12)] => 0
[3,2,4,6,5,1] => [1,1,1,0,0,1,0,1,1,0,0,0] => [(1,12),(2,5),(3,4),(6,7),(8,11),(9,10)] => [(1,4),(2,5),(3,7),(6,10),(8,11),(9,12)] => 0
[3,2,5,1,4,6] => [1,1,1,0,0,1,1,0,0,0,1,0] => [(1,10),(2,5),(3,4),(6,9),(7,8),(11,12)] => [(1,4),(2,5),(3,8),(6,9),(7,10),(11,12)] => 1
[3,2,5,1,6,4] => [1,1,1,0,0,1,1,0,0,1,0,0] => [(1,12),(2,5),(3,4),(6,9),(7,8),(10,11)] => [(1,4),(2,5),(3,8),(6,9),(7,11),(10,12)] => 0
[3,2,5,4,1,6] => [1,1,1,0,0,1,1,0,0,0,1,0] => [(1,10),(2,5),(3,4),(6,9),(7,8),(11,12)] => [(1,4),(2,5),(3,8),(6,9),(7,10),(11,12)] => 1
[3,2,5,4,6,1] => [1,1,1,0,0,1,1,0,0,1,0,0] => [(1,12),(2,5),(3,4),(6,9),(7,8),(10,11)] => [(1,4),(2,5),(3,8),(6,9),(7,11),(10,12)] => 0
[3,2,5,6,1,4] => [1,1,1,0,0,1,1,0,1,0,0,0] => [(1,12),(2,5),(3,4),(6,11),(7,8),(9,10)] => [(1,4),(2,5),(3,8),(6,10),(7,11),(9,12)] => 0
[3,2,5,6,4,1] => [1,1,1,0,0,1,1,0,1,0,0,0] => [(1,12),(2,5),(3,4),(6,11),(7,8),(9,10)] => [(1,4),(2,5),(3,8),(6,10),(7,11),(9,12)] => 0
[3,2,6,1,4,5] => [1,1,1,0,0,1,1,1,0,0,0,0] => [(1,12),(2,5),(3,4),(6,11),(7,10),(8,9)] => [(1,4),(2,5),(3,9),(6,10),(7,11),(8,12)] => 0
[3,2,6,1,5,4] => [1,1,1,0,0,1,1,1,0,0,0,0] => [(1,12),(2,5),(3,4),(6,11),(7,10),(8,9)] => [(1,4),(2,5),(3,9),(6,10),(7,11),(8,12)] => 0
[3,2,6,4,1,5] => [1,1,1,0,0,1,1,1,0,0,0,0] => [(1,12),(2,5),(3,4),(6,11),(7,10),(8,9)] => [(1,4),(2,5),(3,9),(6,10),(7,11),(8,12)] => 0
[3,2,6,4,5,1] => [1,1,1,0,0,1,1,1,0,0,0,0] => [(1,12),(2,5),(3,4),(6,11),(7,10),(8,9)] => [(1,4),(2,5),(3,9),(6,10),(7,11),(8,12)] => 0
[3,2,6,5,1,4] => [1,1,1,0,0,1,1,1,0,0,0,0] => [(1,12),(2,5),(3,4),(6,11),(7,10),(8,9)] => [(1,4),(2,5),(3,9),(6,10),(7,11),(8,12)] => 0
[3,2,6,5,4,1] => [1,1,1,0,0,1,1,1,0,0,0,0] => [(1,12),(2,5),(3,4),(6,11),(7,10),(8,9)] => [(1,4),(2,5),(3,9),(6,10),(7,11),(8,12)] => 0
[3,4,1,2,5,6] => [1,1,1,0,1,0,0,0,1,0,1,0] => [(1,8),(2,7),(3,4),(5,6),(9,10),(11,12)] => [(1,4),(2,6),(3,7),(5,8),(9,10),(11,12)] => 2
[3,4,1,2,6,5] => [1,1,1,0,1,0,0,0,1,1,0,0] => [(1,8),(2,7),(3,4),(5,6),(9,12),(10,11)] => [(1,4),(2,6),(3,7),(5,8),(9,11),(10,12)] => 0
[3,4,1,5,2,6] => [1,1,1,0,1,0,0,1,0,0,1,0] => [(1,10),(2,7),(3,4),(5,6),(8,9),(11,12)] => [(1,4),(2,6),(3,7),(5,9),(8,10),(11,12)] => 1
[3,4,1,5,6,2] => [1,1,1,0,1,0,0,1,0,1,0,0] => [(1,12),(2,7),(3,4),(5,6),(8,9),(10,11)] => [(1,4),(2,6),(3,7),(5,9),(8,11),(10,12)] => 0
[3,4,1,6,2,5] => [1,1,1,0,1,0,0,1,1,0,0,0] => [(1,12),(2,7),(3,4),(5,6),(8,11),(9,10)] => [(1,4),(2,6),(3,7),(5,10),(8,11),(9,12)] => 0
[3,4,1,6,5,2] => [1,1,1,0,1,0,0,1,1,0,0,0] => [(1,12),(2,7),(3,4),(5,6),(8,11),(9,10)] => [(1,4),(2,6),(3,7),(5,10),(8,11),(9,12)] => 0
[3,4,2,1,5,6] => [1,1,1,0,1,0,0,0,1,0,1,0] => [(1,8),(2,7),(3,4),(5,6),(9,10),(11,12)] => [(1,4),(2,6),(3,7),(5,8),(9,10),(11,12)] => 2
[3,4,2,1,6,5] => [1,1,1,0,1,0,0,0,1,1,0,0] => [(1,8),(2,7),(3,4),(5,6),(9,12),(10,11)] => [(1,4),(2,6),(3,7),(5,8),(9,11),(10,12)] => 0
[3,4,2,5,1,6] => [1,1,1,0,1,0,0,1,0,0,1,0] => [(1,10),(2,7),(3,4),(5,6),(8,9),(11,12)] => [(1,4),(2,6),(3,7),(5,9),(8,10),(11,12)] => 1
[3,4,2,5,6,1] => [1,1,1,0,1,0,0,1,0,1,0,0] => [(1,12),(2,7),(3,4),(5,6),(8,9),(10,11)] => [(1,4),(2,6),(3,7),(5,9),(8,11),(10,12)] => 0
[3,4,2,6,1,5] => [1,1,1,0,1,0,0,1,1,0,0,0] => [(1,12),(2,7),(3,4),(5,6),(8,11),(9,10)] => [(1,4),(2,6),(3,7),(5,10),(8,11),(9,12)] => 0
[3,4,2,6,5,1] => [1,1,1,0,1,0,0,1,1,0,0,0] => [(1,12),(2,7),(3,4),(5,6),(8,11),(9,10)] => [(1,4),(2,6),(3,7),(5,10),(8,11),(9,12)] => 0
[3,4,5,1,2,6] => [1,1,1,0,1,0,1,0,0,0,1,0] => [(1,10),(2,9),(3,4),(5,6),(7,8),(11,12)] => [(1,4),(2,6),(3,8),(5,9),(7,10),(11,12)] => 1
[3,4,5,1,6,2] => [1,1,1,0,1,0,1,0,0,1,0,0] => [(1,12),(2,9),(3,4),(5,6),(7,8),(10,11)] => [(1,4),(2,6),(3,8),(5,9),(7,11),(10,12)] => 0
[3,4,5,2,1,6] => [1,1,1,0,1,0,1,0,0,0,1,0] => [(1,10),(2,9),(3,4),(5,6),(7,8),(11,12)] => [(1,4),(2,6),(3,8),(5,9),(7,10),(11,12)] => 1
[3,4,5,2,6,1] => [1,1,1,0,1,0,1,0,0,1,0,0] => [(1,12),(2,9),(3,4),(5,6),(7,8),(10,11)] => [(1,4),(2,6),(3,8),(5,9),(7,11),(10,12)] => 0
[3,4,5,6,1,2] => [1,1,1,0,1,0,1,0,1,0,0,0] => [(1,12),(2,11),(3,4),(5,6),(7,8),(9,10)] => [(1,4),(2,6),(3,8),(5,10),(7,11),(9,12)] => 0
[3,4,5,6,2,1] => [1,1,1,0,1,0,1,0,1,0,0,0] => [(1,12),(2,11),(3,4),(5,6),(7,8),(9,10)] => [(1,4),(2,6),(3,8),(5,10),(7,11),(9,12)] => 0
[3,4,6,1,2,5] => [1,1,1,0,1,0,1,1,0,0,0,0] => [(1,12),(2,11),(3,4),(5,6),(7,10),(8,9)] => [(1,4),(2,6),(3,9),(5,10),(7,11),(8,12)] => 0
[3,4,6,1,5,2] => [1,1,1,0,1,0,1,1,0,0,0,0] => [(1,12),(2,11),(3,4),(5,6),(7,10),(8,9)] => [(1,4),(2,6),(3,9),(5,10),(7,11),(8,12)] => 0
[3,4,6,2,1,5] => [1,1,1,0,1,0,1,1,0,0,0,0] => [(1,12),(2,11),(3,4),(5,6),(7,10),(8,9)] => [(1,4),(2,6),(3,9),(5,10),(7,11),(8,12)] => 0
[3,4,6,2,5,1] => [1,1,1,0,1,0,1,1,0,0,0,0] => [(1,12),(2,11),(3,4),(5,6),(7,10),(8,9)] => [(1,4),(2,6),(3,9),(5,10),(7,11),(8,12)] => 0
[3,4,6,5,1,2] => [1,1,1,0,1,0,1,1,0,0,0,0] => [(1,12),(2,11),(3,4),(5,6),(7,10),(8,9)] => [(1,4),(2,6),(3,9),(5,10),(7,11),(8,12)] => 0
[3,4,6,5,2,1] => [1,1,1,0,1,0,1,1,0,0,0,0] => [(1,12),(2,11),(3,4),(5,6),(7,10),(8,9)] => [(1,4),(2,6),(3,9),(5,10),(7,11),(8,12)] => 0
[3,5,1,2,4,6] => [1,1,1,0,1,1,0,0,0,0,1,0] => [(1,10),(2,9),(3,4),(5,8),(6,7),(11,12)] => [(1,4),(2,7),(3,8),(5,9),(6,10),(11,12)] => 1
[3,5,1,2,6,4] => [1,1,1,0,1,1,0,0,0,1,0,0] => [(1,12),(2,9),(3,4),(5,8),(6,7),(10,11)] => [(1,4),(2,7),(3,8),(5,9),(6,11),(10,12)] => 0
[3,5,1,4,2,6] => [1,1,1,0,1,1,0,0,0,0,1,0] => [(1,10),(2,9),(3,4),(5,8),(6,7),(11,12)] => [(1,4),(2,7),(3,8),(5,9),(6,10),(11,12)] => 1
[3,5,1,4,6,2] => [1,1,1,0,1,1,0,0,0,1,0,0] => [(1,12),(2,9),(3,4),(5,8),(6,7),(10,11)] => [(1,4),(2,7),(3,8),(5,9),(6,11),(10,12)] => 0
[3,5,1,6,2,4] => [1,1,1,0,1,1,0,0,1,0,0,0] => [(1,12),(2,11),(3,4),(5,8),(6,7),(9,10)] => [(1,4),(2,7),(3,8),(5,10),(6,11),(9,12)] => 0
[3,5,1,6,4,2] => [1,1,1,0,1,1,0,0,1,0,0,0] => [(1,12),(2,11),(3,4),(5,8),(6,7),(9,10)] => [(1,4),(2,7),(3,8),(5,10),(6,11),(9,12)] => 0
[3,5,2,1,4,6] => [1,1,1,0,1,1,0,0,0,0,1,0] => [(1,10),(2,9),(3,4),(5,8),(6,7),(11,12)] => [(1,4),(2,7),(3,8),(5,9),(6,10),(11,12)] => 1
[3,5,2,1,6,4] => [1,1,1,0,1,1,0,0,0,1,0,0] => [(1,12),(2,9),(3,4),(5,8),(6,7),(10,11)] => [(1,4),(2,7),(3,8),(5,9),(6,11),(10,12)] => 0
[3,5,2,4,1,6] => [1,1,1,0,1,1,0,0,0,0,1,0] => [(1,10),(2,9),(3,4),(5,8),(6,7),(11,12)] => [(1,4),(2,7),(3,8),(5,9),(6,10),(11,12)] => 1
[3,5,2,4,6,1] => [1,1,1,0,1,1,0,0,0,1,0,0] => [(1,12),(2,9),(3,4),(5,8),(6,7),(10,11)] => [(1,4),(2,7),(3,8),(5,9),(6,11),(10,12)] => 0
[3,5,2,6,1,4] => [1,1,1,0,1,1,0,0,1,0,0,0] => [(1,12),(2,11),(3,4),(5,8),(6,7),(9,10)] => [(1,4),(2,7),(3,8),(5,10),(6,11),(9,12)] => 0
[3,5,2,6,4,1] => [1,1,1,0,1,1,0,0,1,0,0,0] => [(1,12),(2,11),(3,4),(5,8),(6,7),(9,10)] => [(1,4),(2,7),(3,8),(5,10),(6,11),(9,12)] => 0
[3,5,4,1,2,6] => [1,1,1,0,1,1,0,0,0,0,1,0] => [(1,10),(2,9),(3,4),(5,8),(6,7),(11,12)] => [(1,4),(2,7),(3,8),(5,9),(6,10),(11,12)] => 1
[3,5,4,1,6,2] => [1,1,1,0,1,1,0,0,0,1,0,0] => [(1,12),(2,9),(3,4),(5,8),(6,7),(10,11)] => [(1,4),(2,7),(3,8),(5,9),(6,11),(10,12)] => 0
[3,5,4,2,1,6] => [1,1,1,0,1,1,0,0,0,0,1,0] => [(1,10),(2,9),(3,4),(5,8),(6,7),(11,12)] => [(1,4),(2,7),(3,8),(5,9),(6,10),(11,12)] => 1
[3,5,4,2,6,1] => [1,1,1,0,1,1,0,0,0,1,0,0] => [(1,12),(2,9),(3,4),(5,8),(6,7),(10,11)] => [(1,4),(2,7),(3,8),(5,9),(6,11),(10,12)] => 0
[3,5,4,6,1,2] => [1,1,1,0,1,1,0,0,1,0,0,0] => [(1,12),(2,11),(3,4),(5,8),(6,7),(9,10)] => [(1,4),(2,7),(3,8),(5,10),(6,11),(9,12)] => 0
[3,5,4,6,2,1] => [1,1,1,0,1,1,0,0,1,0,0,0] => [(1,12),(2,11),(3,4),(5,8),(6,7),(9,10)] => [(1,4),(2,7),(3,8),(5,10),(6,11),(9,12)] => 0
[3,5,6,1,2,4] => [1,1,1,0,1,1,0,1,0,0,0,0] => [(1,12),(2,11),(3,4),(5,10),(6,7),(8,9)] => [(1,4),(2,7),(3,9),(5,10),(6,11),(8,12)] => 0
[3,5,6,1,4,2] => [1,1,1,0,1,1,0,1,0,0,0,0] => [(1,12),(2,11),(3,4),(5,10),(6,7),(8,9)] => [(1,4),(2,7),(3,9),(5,10),(6,11),(8,12)] => 0
[3,5,6,2,1,4] => [1,1,1,0,1,1,0,1,0,0,0,0] => [(1,12),(2,11),(3,4),(5,10),(6,7),(8,9)] => [(1,4),(2,7),(3,9),(5,10),(6,11),(8,12)] => 0
[3,5,6,2,4,1] => [1,1,1,0,1,1,0,1,0,0,0,0] => [(1,12),(2,11),(3,4),(5,10),(6,7),(8,9)] => [(1,4),(2,7),(3,9),(5,10),(6,11),(8,12)] => 0
[3,5,6,4,1,2] => [1,1,1,0,1,1,0,1,0,0,0,0] => [(1,12),(2,11),(3,4),(5,10),(6,7),(8,9)] => [(1,4),(2,7),(3,9),(5,10),(6,11),(8,12)] => 0
[3,5,6,4,2,1] => [1,1,1,0,1,1,0,1,0,0,0,0] => [(1,12),(2,11),(3,4),(5,10),(6,7),(8,9)] => [(1,4),(2,7),(3,9),(5,10),(6,11),(8,12)] => 0
[3,6,1,2,4,5] => [1,1,1,0,1,1,1,0,0,0,0,0] => [(1,12),(2,11),(3,4),(5,10),(6,9),(7,8)] => [(1,4),(2,8),(3,9),(5,10),(6,11),(7,12)] => 0
[3,6,1,2,5,4] => [1,1,1,0,1,1,1,0,0,0,0,0] => [(1,12),(2,11),(3,4),(5,10),(6,9),(7,8)] => [(1,4),(2,8),(3,9),(5,10),(6,11),(7,12)] => 0
[3,6,1,4,2,5] => [1,1,1,0,1,1,1,0,0,0,0,0] => [(1,12),(2,11),(3,4),(5,10),(6,9),(7,8)] => [(1,4),(2,8),(3,9),(5,10),(6,11),(7,12)] => 0
[3,6,1,4,5,2] => [1,1,1,0,1,1,1,0,0,0,0,0] => [(1,12),(2,11),(3,4),(5,10),(6,9),(7,8)] => [(1,4),(2,8),(3,9),(5,10),(6,11),(7,12)] => 0
[3,6,1,5,2,4] => [1,1,1,0,1,1,1,0,0,0,0,0] => [(1,12),(2,11),(3,4),(5,10),(6,9),(7,8)] => [(1,4),(2,8),(3,9),(5,10),(6,11),(7,12)] => 0
[3,6,1,5,4,2] => [1,1,1,0,1,1,1,0,0,0,0,0] => [(1,12),(2,11),(3,4),(5,10),(6,9),(7,8)] => [(1,4),(2,8),(3,9),(5,10),(6,11),(7,12)] => 0
[3,6,2,1,4,5] => [1,1,1,0,1,1,1,0,0,0,0,0] => [(1,12),(2,11),(3,4),(5,10),(6,9),(7,8)] => [(1,4),(2,8),(3,9),(5,10),(6,11),(7,12)] => 0
[3,6,2,1,5,4] => [1,1,1,0,1,1,1,0,0,0,0,0] => [(1,12),(2,11),(3,4),(5,10),(6,9),(7,8)] => [(1,4),(2,8),(3,9),(5,10),(6,11),(7,12)] => 0
[3,6,2,4,1,5] => [1,1,1,0,1,1,1,0,0,0,0,0] => [(1,12),(2,11),(3,4),(5,10),(6,9),(7,8)] => [(1,4),(2,8),(3,9),(5,10),(6,11),(7,12)] => 0
[3,6,2,4,5,1] => [1,1,1,0,1,1,1,0,0,0,0,0] => [(1,12),(2,11),(3,4),(5,10),(6,9),(7,8)] => [(1,4),(2,8),(3,9),(5,10),(6,11),(7,12)] => 0
[3,6,2,5,1,4] => [1,1,1,0,1,1,1,0,0,0,0,0] => [(1,12),(2,11),(3,4),(5,10),(6,9),(7,8)] => [(1,4),(2,8),(3,9),(5,10),(6,11),(7,12)] => 0
[3,6,2,5,4,1] => [1,1,1,0,1,1,1,0,0,0,0,0] => [(1,12),(2,11),(3,4),(5,10),(6,9),(7,8)] => [(1,4),(2,8),(3,9),(5,10),(6,11),(7,12)] => 0
[3,6,4,1,2,5] => [1,1,1,0,1,1,1,0,0,0,0,0] => [(1,12),(2,11),(3,4),(5,10),(6,9),(7,8)] => [(1,4),(2,8),(3,9),(5,10),(6,11),(7,12)] => 0
[3,6,4,1,5,2] => [1,1,1,0,1,1,1,0,0,0,0,0] => [(1,12),(2,11),(3,4),(5,10),(6,9),(7,8)] => [(1,4),(2,8),(3,9),(5,10),(6,11),(7,12)] => 0
[3,6,4,2,1,5] => [1,1,1,0,1,1,1,0,0,0,0,0] => [(1,12),(2,11),(3,4),(5,10),(6,9),(7,8)] => [(1,4),(2,8),(3,9),(5,10),(6,11),(7,12)] => 0
[3,6,4,2,5,1] => [1,1,1,0,1,1,1,0,0,0,0,0] => [(1,12),(2,11),(3,4),(5,10),(6,9),(7,8)] => [(1,4),(2,8),(3,9),(5,10),(6,11),(7,12)] => 0
[3,6,4,5,1,2] => [1,1,1,0,1,1,1,0,0,0,0,0] => [(1,12),(2,11),(3,4),(5,10),(6,9),(7,8)] => [(1,4),(2,8),(3,9),(5,10),(6,11),(7,12)] => 0
[3,6,4,5,2,1] => [1,1,1,0,1,1,1,0,0,0,0,0] => [(1,12),(2,11),(3,4),(5,10),(6,9),(7,8)] => [(1,4),(2,8),(3,9),(5,10),(6,11),(7,12)] => 0
[3,6,5,1,2,4] => [1,1,1,0,1,1,1,0,0,0,0,0] => [(1,12),(2,11),(3,4),(5,10),(6,9),(7,8)] => [(1,4),(2,8),(3,9),(5,10),(6,11),(7,12)] => 0
[3,6,5,1,4,2] => [1,1,1,0,1,1,1,0,0,0,0,0] => [(1,12),(2,11),(3,4),(5,10),(6,9),(7,8)] => [(1,4),(2,8),(3,9),(5,10),(6,11),(7,12)] => 0
[3,6,5,2,1,4] => [1,1,1,0,1,1,1,0,0,0,0,0] => [(1,12),(2,11),(3,4),(5,10),(6,9),(7,8)] => [(1,4),(2,8),(3,9),(5,10),(6,11),(7,12)] => 0
[3,6,5,2,4,1] => [1,1,1,0,1,1,1,0,0,0,0,0] => [(1,12),(2,11),(3,4),(5,10),(6,9),(7,8)] => [(1,4),(2,8),(3,9),(5,10),(6,11),(7,12)] => 0
[3,6,5,4,1,2] => [1,1,1,0,1,1,1,0,0,0,0,0] => [(1,12),(2,11),(3,4),(5,10),(6,9),(7,8)] => [(1,4),(2,8),(3,9),(5,10),(6,11),(7,12)] => 0
[3,6,5,4,2,1] => [1,1,1,0,1,1,1,0,0,0,0,0] => [(1,12),(2,11),(3,4),(5,10),(6,9),(7,8)] => [(1,4),(2,8),(3,9),(5,10),(6,11),(7,12)] => 0
[4,1,2,3,5,6] => [1,1,1,1,0,0,0,0,1,0,1,0] => [(1,8),(2,7),(3,6),(4,5),(9,10),(11,12)] => [(1,5),(2,6),(3,7),(4,8),(9,10),(11,12)] => 2
[4,1,2,3,6,5] => [1,1,1,1,0,0,0,0,1,1,0,0] => [(1,8),(2,7),(3,6),(4,5),(9,12),(10,11)] => [(1,5),(2,6),(3,7),(4,8),(9,11),(10,12)] => 0
[4,1,2,5,3,6] => [1,1,1,1,0,0,0,1,0,0,1,0] => [(1,10),(2,7),(3,6),(4,5),(8,9),(11,12)] => [(1,5),(2,6),(3,7),(4,9),(8,10),(11,12)] => 1
[4,1,2,5,6,3] => [1,1,1,1,0,0,0,1,0,1,0,0] => [(1,12),(2,7),(3,6),(4,5),(8,9),(10,11)] => [(1,5),(2,6),(3,7),(4,9),(8,11),(10,12)] => 0
[4,1,2,6,3,5] => [1,1,1,1,0,0,0,1,1,0,0,0] => [(1,12),(2,7),(3,6),(4,5),(8,11),(9,10)] => [(1,5),(2,6),(3,7),(4,10),(8,11),(9,12)] => 0
[4,1,2,6,5,3] => [1,1,1,1,0,0,0,1,1,0,0,0] => [(1,12),(2,7),(3,6),(4,5),(8,11),(9,10)] => [(1,5),(2,6),(3,7),(4,10),(8,11),(9,12)] => 0
[4,1,3,2,5,6] => [1,1,1,1,0,0,0,0,1,0,1,0] => [(1,8),(2,7),(3,6),(4,5),(9,10),(11,12)] => [(1,5),(2,6),(3,7),(4,8),(9,10),(11,12)] => 2
[4,1,3,2,6,5] => [1,1,1,1,0,0,0,0,1,1,0,0] => [(1,8),(2,7),(3,6),(4,5),(9,12),(10,11)] => [(1,5),(2,6),(3,7),(4,8),(9,11),(10,12)] => 0
[4,1,3,5,2,6] => [1,1,1,1,0,0,0,1,0,0,1,0] => [(1,10),(2,7),(3,6),(4,5),(8,9),(11,12)] => [(1,5),(2,6),(3,7),(4,9),(8,10),(11,12)] => 1
[4,1,3,5,6,2] => [1,1,1,1,0,0,0,1,0,1,0,0] => [(1,12),(2,7),(3,6),(4,5),(8,9),(10,11)] => [(1,5),(2,6),(3,7),(4,9),(8,11),(10,12)] => 0
[4,1,3,6,2,5] => [1,1,1,1,0,0,0,1,1,0,0,0] => [(1,12),(2,7),(3,6),(4,5),(8,11),(9,10)] => [(1,5),(2,6),(3,7),(4,10),(8,11),(9,12)] => 0
[4,1,3,6,5,2] => [1,1,1,1,0,0,0,1,1,0,0,0] => [(1,12),(2,7),(3,6),(4,5),(8,11),(9,10)] => [(1,5),(2,6),(3,7),(4,10),(8,11),(9,12)] => 0
[4,1,5,2,3,6] => [1,1,1,1,0,0,1,0,0,0,1,0] => [(1,10),(2,9),(3,6),(4,5),(7,8),(11,12)] => [(1,5),(2,6),(3,8),(4,9),(7,10),(11,12)] => 1
[4,1,5,2,6,3] => [1,1,1,1,0,0,1,0,0,1,0,0] => [(1,12),(2,9),(3,6),(4,5),(7,8),(10,11)] => [(1,5),(2,6),(3,8),(4,9),(7,11),(10,12)] => 0
[4,1,5,3,2,6] => [1,1,1,1,0,0,1,0,0,0,1,0] => [(1,10),(2,9),(3,6),(4,5),(7,8),(11,12)] => [(1,5),(2,6),(3,8),(4,9),(7,10),(11,12)] => 1
[4,1,5,3,6,2] => [1,1,1,1,0,0,1,0,0,1,0,0] => [(1,12),(2,9),(3,6),(4,5),(7,8),(10,11)] => [(1,5),(2,6),(3,8),(4,9),(7,11),(10,12)] => 0
[4,1,5,6,2,3] => [1,1,1,1,0,0,1,0,1,0,0,0] => [(1,12),(2,11),(3,6),(4,5),(7,8),(9,10)] => [(1,5),(2,6),(3,8),(4,10),(7,11),(9,12)] => 0
[4,1,5,6,3,2] => [1,1,1,1,0,0,1,0,1,0,0,0] => [(1,12),(2,11),(3,6),(4,5),(7,8),(9,10)] => [(1,5),(2,6),(3,8),(4,10),(7,11),(9,12)] => 0
[4,1,6,2,3,5] => [1,1,1,1,0,0,1,1,0,0,0,0] => [(1,12),(2,11),(3,6),(4,5),(7,10),(8,9)] => [(1,5),(2,6),(3,9),(4,10),(7,11),(8,12)] => 0
[4,1,6,2,5,3] => [1,1,1,1,0,0,1,1,0,0,0,0] => [(1,12),(2,11),(3,6),(4,5),(7,10),(8,9)] => [(1,5),(2,6),(3,9),(4,10),(7,11),(8,12)] => 0
[4,1,6,3,2,5] => [1,1,1,1,0,0,1,1,0,0,0,0] => [(1,12),(2,11),(3,6),(4,5),(7,10),(8,9)] => [(1,5),(2,6),(3,9),(4,10),(7,11),(8,12)] => 0
[4,1,6,3,5,2] => [1,1,1,1,0,0,1,1,0,0,0,0] => [(1,12),(2,11),(3,6),(4,5),(7,10),(8,9)] => [(1,5),(2,6),(3,9),(4,10),(7,11),(8,12)] => 0
[4,1,6,5,2,3] => [1,1,1,1,0,0,1,1,0,0,0,0] => [(1,12),(2,11),(3,6),(4,5),(7,10),(8,9)] => [(1,5),(2,6),(3,9),(4,10),(7,11),(8,12)] => 0
[4,1,6,5,3,2] => [1,1,1,1,0,0,1,1,0,0,0,0] => [(1,12),(2,11),(3,6),(4,5),(7,10),(8,9)] => [(1,5),(2,6),(3,9),(4,10),(7,11),(8,12)] => 0
[4,2,1,3,5,6] => [1,1,1,1,0,0,0,0,1,0,1,0] => [(1,8),(2,7),(3,6),(4,5),(9,10),(11,12)] => [(1,5),(2,6),(3,7),(4,8),(9,10),(11,12)] => 2
[4,2,1,3,6,5] => [1,1,1,1,0,0,0,0,1,1,0,0] => [(1,8),(2,7),(3,6),(4,5),(9,12),(10,11)] => [(1,5),(2,6),(3,7),(4,8),(9,11),(10,12)] => 0
[4,2,1,5,3,6] => [1,1,1,1,0,0,0,1,0,0,1,0] => [(1,10),(2,7),(3,6),(4,5),(8,9),(11,12)] => [(1,5),(2,6),(3,7),(4,9),(8,10),(11,12)] => 1
[4,2,1,5,6,3] => [1,1,1,1,0,0,0,1,0,1,0,0] => [(1,12),(2,7),(3,6),(4,5),(8,9),(10,11)] => [(1,5),(2,6),(3,7),(4,9),(8,11),(10,12)] => 0
[4,2,1,6,3,5] => [1,1,1,1,0,0,0,1,1,0,0,0] => [(1,12),(2,7),(3,6),(4,5),(8,11),(9,10)] => [(1,5),(2,6),(3,7),(4,10),(8,11),(9,12)] => 0
[4,2,1,6,5,3] => [1,1,1,1,0,0,0,1,1,0,0,0] => [(1,12),(2,7),(3,6),(4,5),(8,11),(9,10)] => [(1,5),(2,6),(3,7),(4,10),(8,11),(9,12)] => 0
[4,2,3,1,5,6] => [1,1,1,1,0,0,0,0,1,0,1,0] => [(1,8),(2,7),(3,6),(4,5),(9,10),(11,12)] => [(1,5),(2,6),(3,7),(4,8),(9,10),(11,12)] => 2
[4,2,3,1,6,5] => [1,1,1,1,0,0,0,0,1,1,0,0] => [(1,8),(2,7),(3,6),(4,5),(9,12),(10,11)] => [(1,5),(2,6),(3,7),(4,8),(9,11),(10,12)] => 0
[4,2,3,5,1,6] => [1,1,1,1,0,0,0,1,0,0,1,0] => [(1,10),(2,7),(3,6),(4,5),(8,9),(11,12)] => [(1,5),(2,6),(3,7),(4,9),(8,10),(11,12)] => 1
[4,2,3,5,6,1] => [1,1,1,1,0,0,0,1,0,1,0,0] => [(1,12),(2,7),(3,6),(4,5),(8,9),(10,11)] => [(1,5),(2,6),(3,7),(4,9),(8,11),(10,12)] => 0
[4,2,3,6,1,5] => [1,1,1,1,0,0,0,1,1,0,0,0] => [(1,12),(2,7),(3,6),(4,5),(8,11),(9,10)] => [(1,5),(2,6),(3,7),(4,10),(8,11),(9,12)] => 0
[4,2,3,6,5,1] => [1,1,1,1,0,0,0,1,1,0,0,0] => [(1,12),(2,7),(3,6),(4,5),(8,11),(9,10)] => [(1,5),(2,6),(3,7),(4,10),(8,11),(9,12)] => 0
[4,2,5,1,3,6] => [1,1,1,1,0,0,1,0,0,0,1,0] => [(1,10),(2,9),(3,6),(4,5),(7,8),(11,12)] => [(1,5),(2,6),(3,8),(4,9),(7,10),(11,12)] => 1
[4,2,5,1,6,3] => [1,1,1,1,0,0,1,0,0,1,0,0] => [(1,12),(2,9),(3,6),(4,5),(7,8),(10,11)] => [(1,5),(2,6),(3,8),(4,9),(7,11),(10,12)] => 0
[4,2,5,3,1,6] => [1,1,1,1,0,0,1,0,0,0,1,0] => [(1,10),(2,9),(3,6),(4,5),(7,8),(11,12)] => [(1,5),(2,6),(3,8),(4,9),(7,10),(11,12)] => 1
[4,2,5,3,6,1] => [1,1,1,1,0,0,1,0,0,1,0,0] => [(1,12),(2,9),(3,6),(4,5),(7,8),(10,11)] => [(1,5),(2,6),(3,8),(4,9),(7,11),(10,12)] => 0
[4,2,5,6,1,3] => [1,1,1,1,0,0,1,0,1,0,0,0] => [(1,12),(2,11),(3,6),(4,5),(7,8),(9,10)] => [(1,5),(2,6),(3,8),(4,10),(7,11),(9,12)] => 0
[4,2,5,6,3,1] => [1,1,1,1,0,0,1,0,1,0,0,0] => [(1,12),(2,11),(3,6),(4,5),(7,8),(9,10)] => [(1,5),(2,6),(3,8),(4,10),(7,11),(9,12)] => 0
[4,2,6,1,3,5] => [1,1,1,1,0,0,1,1,0,0,0,0] => [(1,12),(2,11),(3,6),(4,5),(7,10),(8,9)] => [(1,5),(2,6),(3,9),(4,10),(7,11),(8,12)] => 0
[4,2,6,1,5,3] => [1,1,1,1,0,0,1,1,0,0,0,0] => [(1,12),(2,11),(3,6),(4,5),(7,10),(8,9)] => [(1,5),(2,6),(3,9),(4,10),(7,11),(8,12)] => 0
[4,2,6,3,1,5] => [1,1,1,1,0,0,1,1,0,0,0,0] => [(1,12),(2,11),(3,6),(4,5),(7,10),(8,9)] => [(1,5),(2,6),(3,9),(4,10),(7,11),(8,12)] => 0
[4,2,6,3,5,1] => [1,1,1,1,0,0,1,1,0,0,0,0] => [(1,12),(2,11),(3,6),(4,5),(7,10),(8,9)] => [(1,5),(2,6),(3,9),(4,10),(7,11),(8,12)] => 0
[4,2,6,5,1,3] => [1,1,1,1,0,0,1,1,0,0,0,0] => [(1,12),(2,11),(3,6),(4,5),(7,10),(8,9)] => [(1,5),(2,6),(3,9),(4,10),(7,11),(8,12)] => 0
[4,2,6,5,3,1] => [1,1,1,1,0,0,1,1,0,0,0,0] => [(1,12),(2,11),(3,6),(4,5),(7,10),(8,9)] => [(1,5),(2,6),(3,9),(4,10),(7,11),(8,12)] => 0
[4,3,1,2,5,6] => [1,1,1,1,0,0,0,0,1,0,1,0] => [(1,8),(2,7),(3,6),(4,5),(9,10),(11,12)] => [(1,5),(2,6),(3,7),(4,8),(9,10),(11,12)] => 2
[4,3,1,2,6,5] => [1,1,1,1,0,0,0,0,1,1,0,0] => [(1,8),(2,7),(3,6),(4,5),(9,12),(10,11)] => [(1,5),(2,6),(3,7),(4,8),(9,11),(10,12)] => 0
[4,3,1,5,2,6] => [1,1,1,1,0,0,0,1,0,0,1,0] => [(1,10),(2,7),(3,6),(4,5),(8,9),(11,12)] => [(1,5),(2,6),(3,7),(4,9),(8,10),(11,12)] => 1
[4,3,1,5,6,2] => [1,1,1,1,0,0,0,1,0,1,0,0] => [(1,12),(2,7),(3,6),(4,5),(8,9),(10,11)] => [(1,5),(2,6),(3,7),(4,9),(8,11),(10,12)] => 0
[4,3,1,6,2,5] => [1,1,1,1,0,0,0,1,1,0,0,0] => [(1,12),(2,7),(3,6),(4,5),(8,11),(9,10)] => [(1,5),(2,6),(3,7),(4,10),(8,11),(9,12)] => 0
[4,3,1,6,5,2] => [1,1,1,1,0,0,0,1,1,0,0,0] => [(1,12),(2,7),(3,6),(4,5),(8,11),(9,10)] => [(1,5),(2,6),(3,7),(4,10),(8,11),(9,12)] => 0
[4,3,2,1,5,6] => [1,1,1,1,0,0,0,0,1,0,1,0] => [(1,8),(2,7),(3,6),(4,5),(9,10),(11,12)] => [(1,5),(2,6),(3,7),(4,8),(9,10),(11,12)] => 2
[4,3,2,1,6,5] => [1,1,1,1,0,0,0,0,1,1,0,0] => [(1,8),(2,7),(3,6),(4,5),(9,12),(10,11)] => [(1,5),(2,6),(3,7),(4,8),(9,11),(10,12)] => 0
[4,3,2,5,1,6] => [1,1,1,1,0,0,0,1,0,0,1,0] => [(1,10),(2,7),(3,6),(4,5),(8,9),(11,12)] => [(1,5),(2,6),(3,7),(4,9),(8,10),(11,12)] => 1
[4,3,2,5,6,1] => [1,1,1,1,0,0,0,1,0,1,0,0] => [(1,12),(2,7),(3,6),(4,5),(8,9),(10,11)] => [(1,5),(2,6),(3,7),(4,9),(8,11),(10,12)] => 0
[4,3,2,6,1,5] => [1,1,1,1,0,0,0,1,1,0,0,0] => [(1,12),(2,7),(3,6),(4,5),(8,11),(9,10)] => [(1,5),(2,6),(3,7),(4,10),(8,11),(9,12)] => 0
[4,3,2,6,5,1] => [1,1,1,1,0,0,0,1,1,0,0,0] => [(1,12),(2,7),(3,6),(4,5),(8,11),(9,10)] => [(1,5),(2,6),(3,7),(4,10),(8,11),(9,12)] => 0
[4,3,5,1,2,6] => [1,1,1,1,0,0,1,0,0,0,1,0] => [(1,10),(2,9),(3,6),(4,5),(7,8),(11,12)] => [(1,5),(2,6),(3,8),(4,9),(7,10),(11,12)] => 1
[4,3,5,1,6,2] => [1,1,1,1,0,0,1,0,0,1,0,0] => [(1,12),(2,9),(3,6),(4,5),(7,8),(10,11)] => [(1,5),(2,6),(3,8),(4,9),(7,11),(10,12)] => 0
[4,3,5,2,1,6] => [1,1,1,1,0,0,1,0,0,0,1,0] => [(1,10),(2,9),(3,6),(4,5),(7,8),(11,12)] => [(1,5),(2,6),(3,8),(4,9),(7,10),(11,12)] => 1
[4,3,5,2,6,1] => [1,1,1,1,0,0,1,0,0,1,0,0] => [(1,12),(2,9),(3,6),(4,5),(7,8),(10,11)] => [(1,5),(2,6),(3,8),(4,9),(7,11),(10,12)] => 0
[4,3,5,6,1,2] => [1,1,1,1,0,0,1,0,1,0,0,0] => [(1,12),(2,11),(3,6),(4,5),(7,8),(9,10)] => [(1,5),(2,6),(3,8),(4,10),(7,11),(9,12)] => 0
[4,3,5,6,2,1] => [1,1,1,1,0,0,1,0,1,0,0,0] => [(1,12),(2,11),(3,6),(4,5),(7,8),(9,10)] => [(1,5),(2,6),(3,8),(4,10),(7,11),(9,12)] => 0
[4,3,6,1,2,5] => [1,1,1,1,0,0,1,1,0,0,0,0] => [(1,12),(2,11),(3,6),(4,5),(7,10),(8,9)] => [(1,5),(2,6),(3,9),(4,10),(7,11),(8,12)] => 0
[4,3,6,1,5,2] => [1,1,1,1,0,0,1,1,0,0,0,0] => [(1,12),(2,11),(3,6),(4,5),(7,10),(8,9)] => [(1,5),(2,6),(3,9),(4,10),(7,11),(8,12)] => 0
[4,3,6,2,1,5] => [1,1,1,1,0,0,1,1,0,0,0,0] => [(1,12),(2,11),(3,6),(4,5),(7,10),(8,9)] => [(1,5),(2,6),(3,9),(4,10),(7,11),(8,12)] => 0
[4,3,6,2,5,1] => [1,1,1,1,0,0,1,1,0,0,0,0] => [(1,12),(2,11),(3,6),(4,5),(7,10),(8,9)] => [(1,5),(2,6),(3,9),(4,10),(7,11),(8,12)] => 0
[4,3,6,5,1,2] => [1,1,1,1,0,0,1,1,0,0,0,0] => [(1,12),(2,11),(3,6),(4,5),(7,10),(8,9)] => [(1,5),(2,6),(3,9),(4,10),(7,11),(8,12)] => 0
[4,3,6,5,2,1] => [1,1,1,1,0,0,1,1,0,0,0,0] => [(1,12),(2,11),(3,6),(4,5),(7,10),(8,9)] => [(1,5),(2,6),(3,9),(4,10),(7,11),(8,12)] => 0
[4,5,1,2,3,6] => [1,1,1,1,0,1,0,0,0,0,1,0] => [(1,10),(2,9),(3,8),(4,5),(6,7),(11,12)] => [(1,5),(2,7),(3,8),(4,9),(6,10),(11,12)] => 1
[4,5,1,2,6,3] => [1,1,1,1,0,1,0,0,0,1,0,0] => [(1,12),(2,9),(3,8),(4,5),(6,7),(10,11)] => [(1,5),(2,7),(3,8),(4,9),(6,11),(10,12)] => 0
[4,5,1,3,2,6] => [1,1,1,1,0,1,0,0,0,0,1,0] => [(1,10),(2,9),(3,8),(4,5),(6,7),(11,12)] => [(1,5),(2,7),(3,8),(4,9),(6,10),(11,12)] => 1
[4,5,1,3,6,2] => [1,1,1,1,0,1,0,0,0,1,0,0] => [(1,12),(2,9),(3,8),(4,5),(6,7),(10,11)] => [(1,5),(2,7),(3,8),(4,9),(6,11),(10,12)] => 0
[4,5,1,6,2,3] => [1,1,1,1,0,1,0,0,1,0,0,0] => [(1,12),(2,11),(3,8),(4,5),(6,7),(9,10)] => [(1,5),(2,7),(3,8),(4,10),(6,11),(9,12)] => 0
[4,5,1,6,3,2] => [1,1,1,1,0,1,0,0,1,0,0,0] => [(1,12),(2,11),(3,8),(4,5),(6,7),(9,10)] => [(1,5),(2,7),(3,8),(4,10),(6,11),(9,12)] => 0
[4,5,2,1,3,6] => [1,1,1,1,0,1,0,0,0,0,1,0] => [(1,10),(2,9),(3,8),(4,5),(6,7),(11,12)] => [(1,5),(2,7),(3,8),(4,9),(6,10),(11,12)] => 1
[4,5,2,1,6,3] => [1,1,1,1,0,1,0,0,0,1,0,0] => [(1,12),(2,9),(3,8),(4,5),(6,7),(10,11)] => [(1,5),(2,7),(3,8),(4,9),(6,11),(10,12)] => 0
[4,5,2,3,1,6] => [1,1,1,1,0,1,0,0,0,0,1,0] => [(1,10),(2,9),(3,8),(4,5),(6,7),(11,12)] => [(1,5),(2,7),(3,8),(4,9),(6,10),(11,12)] => 1
[4,5,2,3,6,1] => [1,1,1,1,0,1,0,0,0,1,0,0] => [(1,12),(2,9),(3,8),(4,5),(6,7),(10,11)] => [(1,5),(2,7),(3,8),(4,9),(6,11),(10,12)] => 0
[4,5,2,6,1,3] => [1,1,1,1,0,1,0,0,1,0,0,0] => [(1,12),(2,11),(3,8),(4,5),(6,7),(9,10)] => [(1,5),(2,7),(3,8),(4,10),(6,11),(9,12)] => 0
[4,5,2,6,3,1] => [1,1,1,1,0,1,0,0,1,0,0,0] => [(1,12),(2,11),(3,8),(4,5),(6,7),(9,10)] => [(1,5),(2,7),(3,8),(4,10),(6,11),(9,12)] => 0
[4,5,3,1,2,6] => [1,1,1,1,0,1,0,0,0,0,1,0] => [(1,10),(2,9),(3,8),(4,5),(6,7),(11,12)] => [(1,5),(2,7),(3,8),(4,9),(6,10),(11,12)] => 1
[4,5,3,1,6,2] => [1,1,1,1,0,1,0,0,0,1,0,0] => [(1,12),(2,9),(3,8),(4,5),(6,7),(10,11)] => [(1,5),(2,7),(3,8),(4,9),(6,11),(10,12)] => 0
[4,5,3,2,1,6] => [1,1,1,1,0,1,0,0,0,0,1,0] => [(1,10),(2,9),(3,8),(4,5),(6,7),(11,12)] => [(1,5),(2,7),(3,8),(4,9),(6,10),(11,12)] => 1
[4,5,3,2,6,1] => [1,1,1,1,0,1,0,0,0,1,0,0] => [(1,12),(2,9),(3,8),(4,5),(6,7),(10,11)] => [(1,5),(2,7),(3,8),(4,9),(6,11),(10,12)] => 0
[4,5,3,6,1,2] => [1,1,1,1,0,1,0,0,1,0,0,0] => [(1,12),(2,11),(3,8),(4,5),(6,7),(9,10)] => [(1,5),(2,7),(3,8),(4,10),(6,11),(9,12)] => 0
[4,5,3,6,2,1] => [1,1,1,1,0,1,0,0,1,0,0,0] => [(1,12),(2,11),(3,8),(4,5),(6,7),(9,10)] => [(1,5),(2,7),(3,8),(4,10),(6,11),(9,12)] => 0
[4,5,6,1,2,3] => [1,1,1,1,0,1,0,1,0,0,0,0] => [(1,12),(2,11),(3,10),(4,5),(6,7),(8,9)] => [(1,5),(2,7),(3,9),(4,10),(6,11),(8,12)] => 0
[4,5,6,1,3,2] => [1,1,1,1,0,1,0,1,0,0,0,0] => [(1,12),(2,11),(3,10),(4,5),(6,7),(8,9)] => [(1,5),(2,7),(3,9),(4,10),(6,11),(8,12)] => 0
[4,5,6,2,1,3] => [1,1,1,1,0,1,0,1,0,0,0,0] => [(1,12),(2,11),(3,10),(4,5),(6,7),(8,9)] => [(1,5),(2,7),(3,9),(4,10),(6,11),(8,12)] => 0
[4,5,6,2,3,1] => [1,1,1,1,0,1,0,1,0,0,0,0] => [(1,12),(2,11),(3,10),(4,5),(6,7),(8,9)] => [(1,5),(2,7),(3,9),(4,10),(6,11),(8,12)] => 0
[4,5,6,3,1,2] => [1,1,1,1,0,1,0,1,0,0,0,0] => [(1,12),(2,11),(3,10),(4,5),(6,7),(8,9)] => [(1,5),(2,7),(3,9),(4,10),(6,11),(8,12)] => 0
[4,5,6,3,2,1] => [1,1,1,1,0,1,0,1,0,0,0,0] => [(1,12),(2,11),(3,10),(4,5),(6,7),(8,9)] => [(1,5),(2,7),(3,9),(4,10),(6,11),(8,12)] => 0
[4,6,1,2,3,5] => [1,1,1,1,0,1,1,0,0,0,0,0] => [(1,12),(2,11),(3,10),(4,5),(6,9),(7,8)] => [(1,5),(2,8),(3,9),(4,10),(6,11),(7,12)] => 0
[4,6,1,2,5,3] => [1,1,1,1,0,1,1,0,0,0,0,0] => [(1,12),(2,11),(3,10),(4,5),(6,9),(7,8)] => [(1,5),(2,8),(3,9),(4,10),(6,11),(7,12)] => 0
[4,6,1,3,2,5] => [1,1,1,1,0,1,1,0,0,0,0,0] => [(1,12),(2,11),(3,10),(4,5),(6,9),(7,8)] => [(1,5),(2,8),(3,9),(4,10),(6,11),(7,12)] => 0
[4,6,1,3,5,2] => [1,1,1,1,0,1,1,0,0,0,0,0] => [(1,12),(2,11),(3,10),(4,5),(6,9),(7,8)] => [(1,5),(2,8),(3,9),(4,10),(6,11),(7,12)] => 0
[4,6,1,5,2,3] => [1,1,1,1,0,1,1,0,0,0,0,0] => [(1,12),(2,11),(3,10),(4,5),(6,9),(7,8)] => [(1,5),(2,8),(3,9),(4,10),(6,11),(7,12)] => 0
[4,6,1,5,3,2] => [1,1,1,1,0,1,1,0,0,0,0,0] => [(1,12),(2,11),(3,10),(4,5),(6,9),(7,8)] => [(1,5),(2,8),(3,9),(4,10),(6,11),(7,12)] => 0
[4,6,2,1,3,5] => [1,1,1,1,0,1,1,0,0,0,0,0] => [(1,12),(2,11),(3,10),(4,5),(6,9),(7,8)] => [(1,5),(2,8),(3,9),(4,10),(6,11),(7,12)] => 0
[4,6,2,1,5,3] => [1,1,1,1,0,1,1,0,0,0,0,0] => [(1,12),(2,11),(3,10),(4,5),(6,9),(7,8)] => [(1,5),(2,8),(3,9),(4,10),(6,11),(7,12)] => 0
[4,6,2,3,1,5] => [1,1,1,1,0,1,1,0,0,0,0,0] => [(1,12),(2,11),(3,10),(4,5),(6,9),(7,8)] => [(1,5),(2,8),(3,9),(4,10),(6,11),(7,12)] => 0
[4,6,2,3,5,1] => [1,1,1,1,0,1,1,0,0,0,0,0] => [(1,12),(2,11),(3,10),(4,5),(6,9),(7,8)] => [(1,5),(2,8),(3,9),(4,10),(6,11),(7,12)] => 0
[4,6,2,5,1,3] => [1,1,1,1,0,1,1,0,0,0,0,0] => [(1,12),(2,11),(3,10),(4,5),(6,9),(7,8)] => [(1,5),(2,8),(3,9),(4,10),(6,11),(7,12)] => 0
[4,6,2,5,3,1] => [1,1,1,1,0,1,1,0,0,0,0,0] => [(1,12),(2,11),(3,10),(4,5),(6,9),(7,8)] => [(1,5),(2,8),(3,9),(4,10),(6,11),(7,12)] => 0
[4,6,3,1,2,5] => [1,1,1,1,0,1,1,0,0,0,0,0] => [(1,12),(2,11),(3,10),(4,5),(6,9),(7,8)] => [(1,5),(2,8),(3,9),(4,10),(6,11),(7,12)] => 0
[4,6,3,1,5,2] => [1,1,1,1,0,1,1,0,0,0,0,0] => [(1,12),(2,11),(3,10),(4,5),(6,9),(7,8)] => [(1,5),(2,8),(3,9),(4,10),(6,11),(7,12)] => 0
[4,6,3,2,1,5] => [1,1,1,1,0,1,1,0,0,0,0,0] => [(1,12),(2,11),(3,10),(4,5),(6,9),(7,8)] => [(1,5),(2,8),(3,9),(4,10),(6,11),(7,12)] => 0
[4,6,3,2,5,1] => [1,1,1,1,0,1,1,0,0,0,0,0] => [(1,12),(2,11),(3,10),(4,5),(6,9),(7,8)] => [(1,5),(2,8),(3,9),(4,10),(6,11),(7,12)] => 0
[4,6,3,5,1,2] => [1,1,1,1,0,1,1,0,0,0,0,0] => [(1,12),(2,11),(3,10),(4,5),(6,9),(7,8)] => [(1,5),(2,8),(3,9),(4,10),(6,11),(7,12)] => 0
[4,6,3,5,2,1] => [1,1,1,1,0,1,1,0,0,0,0,0] => [(1,12),(2,11),(3,10),(4,5),(6,9),(7,8)] => [(1,5),(2,8),(3,9),(4,10),(6,11),(7,12)] => 0
[4,6,5,1,2,3] => [1,1,1,1,0,1,1,0,0,0,0,0] => [(1,12),(2,11),(3,10),(4,5),(6,9),(7,8)] => [(1,5),(2,8),(3,9),(4,10),(6,11),(7,12)] => 0
[4,6,5,1,3,2] => [1,1,1,1,0,1,1,0,0,0,0,0] => [(1,12),(2,11),(3,10),(4,5),(6,9),(7,8)] => [(1,5),(2,8),(3,9),(4,10),(6,11),(7,12)] => 0
[4,6,5,2,1,3] => [1,1,1,1,0,1,1,0,0,0,0,0] => [(1,12),(2,11),(3,10),(4,5),(6,9),(7,8)] => [(1,5),(2,8),(3,9),(4,10),(6,11),(7,12)] => 0
[4,6,5,2,3,1] => [1,1,1,1,0,1,1,0,0,0,0,0] => [(1,12),(2,11),(3,10),(4,5),(6,9),(7,8)] => [(1,5),(2,8),(3,9),(4,10),(6,11),(7,12)] => 0
[4,6,5,3,1,2] => [1,1,1,1,0,1,1,0,0,0,0,0] => [(1,12),(2,11),(3,10),(4,5),(6,9),(7,8)] => [(1,5),(2,8),(3,9),(4,10),(6,11),(7,12)] => 0
[4,6,5,3,2,1] => [1,1,1,1,0,1,1,0,0,0,0,0] => [(1,12),(2,11),(3,10),(4,5),(6,9),(7,8)] => [(1,5),(2,8),(3,9),(4,10),(6,11),(7,12)] => 0
[5,1,2,3,4,6] => [1,1,1,1,1,0,0,0,0,0,1,0] => [(1,10),(2,9),(3,8),(4,7),(5,6),(11,12)] => [(1,6),(2,7),(3,8),(4,9),(5,10),(11,12)] => 1
[5,1,2,3,6,4] => [1,1,1,1,1,0,0,0,0,1,0,0] => [(1,12),(2,9),(3,8),(4,7),(5,6),(10,11)] => [(1,6),(2,7),(3,8),(4,9),(5,11),(10,12)] => 0
[5,1,2,4,3,6] => [1,1,1,1,1,0,0,0,0,0,1,0] => [(1,10),(2,9),(3,8),(4,7),(5,6),(11,12)] => [(1,6),(2,7),(3,8),(4,9),(5,10),(11,12)] => 1
[5,1,2,4,6,3] => [1,1,1,1,1,0,0,0,0,1,0,0] => [(1,12),(2,9),(3,8),(4,7),(5,6),(10,11)] => [(1,6),(2,7),(3,8),(4,9),(5,11),(10,12)] => 0
[5,1,2,6,3,4] => [1,1,1,1,1,0,0,0,1,0,0,0] => [(1,12),(2,11),(3,8),(4,7),(5,6),(9,10)] => [(1,6),(2,7),(3,8),(4,10),(5,11),(9,12)] => 0
[5,1,2,6,4,3] => [1,1,1,1,1,0,0,0,1,0,0,0] => [(1,12),(2,11),(3,8),(4,7),(5,6),(9,10)] => [(1,6),(2,7),(3,8),(4,10),(5,11),(9,12)] => 0
[5,1,3,2,4,6] => [1,1,1,1,1,0,0,0,0,0,1,0] => [(1,10),(2,9),(3,8),(4,7),(5,6),(11,12)] => [(1,6),(2,7),(3,8),(4,9),(5,10),(11,12)] => 1
[5,1,3,2,6,4] => [1,1,1,1,1,0,0,0,0,1,0,0] => [(1,12),(2,9),(3,8),(4,7),(5,6),(10,11)] => [(1,6),(2,7),(3,8),(4,9),(5,11),(10,12)] => 0
[5,1,3,4,2,6] => [1,1,1,1,1,0,0,0,0,0,1,0] => [(1,10),(2,9),(3,8),(4,7),(5,6),(11,12)] => [(1,6),(2,7),(3,8),(4,9),(5,10),(11,12)] => 1
[5,1,3,4,6,2] => [1,1,1,1,1,0,0,0,0,1,0,0] => [(1,12),(2,9),(3,8),(4,7),(5,6),(10,11)] => [(1,6),(2,7),(3,8),(4,9),(5,11),(10,12)] => 0
[5,1,3,6,2,4] => [1,1,1,1,1,0,0,0,1,0,0,0] => [(1,12),(2,11),(3,8),(4,7),(5,6),(9,10)] => [(1,6),(2,7),(3,8),(4,10),(5,11),(9,12)] => 0
[5,1,3,6,4,2] => [1,1,1,1,1,0,0,0,1,0,0,0] => [(1,12),(2,11),(3,8),(4,7),(5,6),(9,10)] => [(1,6),(2,7),(3,8),(4,10),(5,11),(9,12)] => 0
[5,1,4,2,3,6] => [1,1,1,1,1,0,0,0,0,0,1,0] => [(1,10),(2,9),(3,8),(4,7),(5,6),(11,12)] => [(1,6),(2,7),(3,8),(4,9),(5,10),(11,12)] => 1
[5,1,4,2,6,3] => [1,1,1,1,1,0,0,0,0,1,0,0] => [(1,12),(2,9),(3,8),(4,7),(5,6),(10,11)] => [(1,6),(2,7),(3,8),(4,9),(5,11),(10,12)] => 0
[5,1,4,3,2,6] => [1,1,1,1,1,0,0,0,0,0,1,0] => [(1,10),(2,9),(3,8),(4,7),(5,6),(11,12)] => [(1,6),(2,7),(3,8),(4,9),(5,10),(11,12)] => 1
[5,1,4,3,6,2] => [1,1,1,1,1,0,0,0,0,1,0,0] => [(1,12),(2,9),(3,8),(4,7),(5,6),(10,11)] => [(1,6),(2,7),(3,8),(4,9),(5,11),(10,12)] => 0
[5,1,4,6,2,3] => [1,1,1,1,1,0,0,0,1,0,0,0] => [(1,12),(2,11),(3,8),(4,7),(5,6),(9,10)] => [(1,6),(2,7),(3,8),(4,10),(5,11),(9,12)] => 0
[5,1,4,6,3,2] => [1,1,1,1,1,0,0,0,1,0,0,0] => [(1,12),(2,11),(3,8),(4,7),(5,6),(9,10)] => [(1,6),(2,7),(3,8),(4,10),(5,11),(9,12)] => 0
[5,1,6,2,3,4] => [1,1,1,1,1,0,0,1,0,0,0,0] => [(1,12),(2,11),(3,10),(4,7),(5,6),(8,9)] => [(1,6),(2,7),(3,9),(4,10),(5,11),(8,12)] => 0
[5,1,6,2,4,3] => [1,1,1,1,1,0,0,1,0,0,0,0] => [(1,12),(2,11),(3,10),(4,7),(5,6),(8,9)] => [(1,6),(2,7),(3,9),(4,10),(5,11),(8,12)] => 0
[5,1,6,3,2,4] => [1,1,1,1,1,0,0,1,0,0,0,0] => [(1,12),(2,11),(3,10),(4,7),(5,6),(8,9)] => [(1,6),(2,7),(3,9),(4,10),(5,11),(8,12)] => 0
[5,1,6,3,4,2] => [1,1,1,1,1,0,0,1,0,0,0,0] => [(1,12),(2,11),(3,10),(4,7),(5,6),(8,9)] => [(1,6),(2,7),(3,9),(4,10),(5,11),(8,12)] => 0
[5,1,6,4,2,3] => [1,1,1,1,1,0,0,1,0,0,0,0] => [(1,12),(2,11),(3,10),(4,7),(5,6),(8,9)] => [(1,6),(2,7),(3,9),(4,10),(5,11),(8,12)] => 0
[5,1,6,4,3,2] => [1,1,1,1,1,0,0,1,0,0,0,0] => [(1,12),(2,11),(3,10),(4,7),(5,6),(8,9)] => [(1,6),(2,7),(3,9),(4,10),(5,11),(8,12)] => 0
[5,2,1,3,4,6] => [1,1,1,1,1,0,0,0,0,0,1,0] => [(1,10),(2,9),(3,8),(4,7),(5,6),(11,12)] => [(1,6),(2,7),(3,8),(4,9),(5,10),(11,12)] => 1
[5,2,1,3,6,4] => [1,1,1,1,1,0,0,0,0,1,0,0] => [(1,12),(2,9),(3,8),(4,7),(5,6),(10,11)] => [(1,6),(2,7),(3,8),(4,9),(5,11),(10,12)] => 0
[5,2,1,4,3,6] => [1,1,1,1,1,0,0,0,0,0,1,0] => [(1,10),(2,9),(3,8),(4,7),(5,6),(11,12)] => [(1,6),(2,7),(3,8),(4,9),(5,10),(11,12)] => 1
[5,2,1,4,6,3] => [1,1,1,1,1,0,0,0,0,1,0,0] => [(1,12),(2,9),(3,8),(4,7),(5,6),(10,11)] => [(1,6),(2,7),(3,8),(4,9),(5,11),(10,12)] => 0
[5,2,1,6,3,4] => [1,1,1,1,1,0,0,0,1,0,0,0] => [(1,12),(2,11),(3,8),(4,7),(5,6),(9,10)] => [(1,6),(2,7),(3,8),(4,10),(5,11),(9,12)] => 0
[5,2,1,6,4,3] => [1,1,1,1,1,0,0,0,1,0,0,0] => [(1,12),(2,11),(3,8),(4,7),(5,6),(9,10)] => [(1,6),(2,7),(3,8),(4,10),(5,11),(9,12)] => 0
[5,2,3,1,4,6] => [1,1,1,1,1,0,0,0,0,0,1,0] => [(1,10),(2,9),(3,8),(4,7),(5,6),(11,12)] => [(1,6),(2,7),(3,8),(4,9),(5,10),(11,12)] => 1
[5,2,3,1,6,4] => [1,1,1,1,1,0,0,0,0,1,0,0] => [(1,12),(2,9),(3,8),(4,7),(5,6),(10,11)] => [(1,6),(2,7),(3,8),(4,9),(5,11),(10,12)] => 0
[5,2,3,4,1,6] => [1,1,1,1,1,0,0,0,0,0,1,0] => [(1,10),(2,9),(3,8),(4,7),(5,6),(11,12)] => [(1,6),(2,7),(3,8),(4,9),(5,10),(11,12)] => 1
[5,2,3,4,6,1] => [1,1,1,1,1,0,0,0,0,1,0,0] => [(1,12),(2,9),(3,8),(4,7),(5,6),(10,11)] => [(1,6),(2,7),(3,8),(4,9),(5,11),(10,12)] => 0
[5,2,3,6,1,4] => [1,1,1,1,1,0,0,0,1,0,0,0] => [(1,12),(2,11),(3,8),(4,7),(5,6),(9,10)] => [(1,6),(2,7),(3,8),(4,10),(5,11),(9,12)] => 0
[5,2,3,6,4,1] => [1,1,1,1,1,0,0,0,1,0,0,0] => [(1,12),(2,11),(3,8),(4,7),(5,6),(9,10)] => [(1,6),(2,7),(3,8),(4,10),(5,11),(9,12)] => 0
[5,2,4,1,3,6] => [1,1,1,1,1,0,0,0,0,0,1,0] => [(1,10),(2,9),(3,8),(4,7),(5,6),(11,12)] => [(1,6),(2,7),(3,8),(4,9),(5,10),(11,12)] => 1
[5,2,4,1,6,3] => [1,1,1,1,1,0,0,0,0,1,0,0] => [(1,12),(2,9),(3,8),(4,7),(5,6),(10,11)] => [(1,6),(2,7),(3,8),(4,9),(5,11),(10,12)] => 0
[5,2,4,3,1,6] => [1,1,1,1,1,0,0,0,0,0,1,0] => [(1,10),(2,9),(3,8),(4,7),(5,6),(11,12)] => [(1,6),(2,7),(3,8),(4,9),(5,10),(11,12)] => 1
[5,2,4,3,6,1] => [1,1,1,1,1,0,0,0,0,1,0,0] => [(1,12),(2,9),(3,8),(4,7),(5,6),(10,11)] => [(1,6),(2,7),(3,8),(4,9),(5,11),(10,12)] => 0
[5,2,4,6,1,3] => [1,1,1,1,1,0,0,0,1,0,0,0] => [(1,12),(2,11),(3,8),(4,7),(5,6),(9,10)] => [(1,6),(2,7),(3,8),(4,10),(5,11),(9,12)] => 0
[5,2,4,6,3,1] => [1,1,1,1,1,0,0,0,1,0,0,0] => [(1,12),(2,11),(3,8),(4,7),(5,6),(9,10)] => [(1,6),(2,7),(3,8),(4,10),(5,11),(9,12)] => 0
[5,2,6,1,3,4] => [1,1,1,1,1,0,0,1,0,0,0,0] => [(1,12),(2,11),(3,10),(4,7),(5,6),(8,9)] => [(1,6),(2,7),(3,9),(4,10),(5,11),(8,12)] => 0
[5,2,6,1,4,3] => [1,1,1,1,1,0,0,1,0,0,0,0] => [(1,12),(2,11),(3,10),(4,7),(5,6),(8,9)] => [(1,6),(2,7),(3,9),(4,10),(5,11),(8,12)] => 0
[5,2,6,3,1,4] => [1,1,1,1,1,0,0,1,0,0,0,0] => [(1,12),(2,11),(3,10),(4,7),(5,6),(8,9)] => [(1,6),(2,7),(3,9),(4,10),(5,11),(8,12)] => 0
[5,2,6,3,4,1] => [1,1,1,1,1,0,0,1,0,0,0,0] => [(1,12),(2,11),(3,10),(4,7),(5,6),(8,9)] => [(1,6),(2,7),(3,9),(4,10),(5,11),(8,12)] => 0
[5,2,6,4,1,3] => [1,1,1,1,1,0,0,1,0,0,0,0] => [(1,12),(2,11),(3,10),(4,7),(5,6),(8,9)] => [(1,6),(2,7),(3,9),(4,10),(5,11),(8,12)] => 0
[5,2,6,4,3,1] => [1,1,1,1,1,0,0,1,0,0,0,0] => [(1,12),(2,11),(3,10),(4,7),(5,6),(8,9)] => [(1,6),(2,7),(3,9),(4,10),(5,11),(8,12)] => 0
[5,3,1,2,4,6] => [1,1,1,1,1,0,0,0,0,0,1,0] => [(1,10),(2,9),(3,8),(4,7),(5,6),(11,12)] => [(1,6),(2,7),(3,8),(4,9),(5,10),(11,12)] => 1
[5,3,1,2,6,4] => [1,1,1,1,1,0,0,0,0,1,0,0] => [(1,12),(2,9),(3,8),(4,7),(5,6),(10,11)] => [(1,6),(2,7),(3,8),(4,9),(5,11),(10,12)] => 0
[5,3,1,4,2,6] => [1,1,1,1,1,0,0,0,0,0,1,0] => [(1,10),(2,9),(3,8),(4,7),(5,6),(11,12)] => [(1,6),(2,7),(3,8),(4,9),(5,10),(11,12)] => 1
[5,3,1,4,6,2] => [1,1,1,1,1,0,0,0,0,1,0,0] => [(1,12),(2,9),(3,8),(4,7),(5,6),(10,11)] => [(1,6),(2,7),(3,8),(4,9),(5,11),(10,12)] => 0
[5,3,1,6,2,4] => [1,1,1,1,1,0,0,0,1,0,0,0] => [(1,12),(2,11),(3,8),(4,7),(5,6),(9,10)] => [(1,6),(2,7),(3,8),(4,10),(5,11),(9,12)] => 0
[5,3,1,6,4,2] => [1,1,1,1,1,0,0,0,1,0,0,0] => [(1,12),(2,11),(3,8),(4,7),(5,6),(9,10)] => [(1,6),(2,7),(3,8),(4,10),(5,11),(9,12)] => 0
[5,3,2,1,4,6] => [1,1,1,1,1,0,0,0,0,0,1,0] => [(1,10),(2,9),(3,8),(4,7),(5,6),(11,12)] => [(1,6),(2,7),(3,8),(4,9),(5,10),(11,12)] => 1
[5,3,2,1,6,4] => [1,1,1,1,1,0,0,0,0,1,0,0] => [(1,12),(2,9),(3,8),(4,7),(5,6),(10,11)] => [(1,6),(2,7),(3,8),(4,9),(5,11),(10,12)] => 0
[5,3,2,4,1,6] => [1,1,1,1,1,0,0,0,0,0,1,0] => [(1,10),(2,9),(3,8),(4,7),(5,6),(11,12)] => [(1,6),(2,7),(3,8),(4,9),(5,10),(11,12)] => 1
[5,3,2,4,6,1] => [1,1,1,1,1,0,0,0,0,1,0,0] => [(1,12),(2,9),(3,8),(4,7),(5,6),(10,11)] => [(1,6),(2,7),(3,8),(4,9),(5,11),(10,12)] => 0
[5,3,2,6,1,4] => [1,1,1,1,1,0,0,0,1,0,0,0] => [(1,12),(2,11),(3,8),(4,7),(5,6),(9,10)] => [(1,6),(2,7),(3,8),(4,10),(5,11),(9,12)] => 0
[5,3,2,6,4,1] => [1,1,1,1,1,0,0,0,1,0,0,0] => [(1,12),(2,11),(3,8),(4,7),(5,6),(9,10)] => [(1,6),(2,7),(3,8),(4,10),(5,11),(9,12)] => 0
[5,3,4,1,2,6] => [1,1,1,1,1,0,0,0,0,0,1,0] => [(1,10),(2,9),(3,8),(4,7),(5,6),(11,12)] => [(1,6),(2,7),(3,8),(4,9),(5,10),(11,12)] => 1
[5,3,4,1,6,2] => [1,1,1,1,1,0,0,0,0,1,0,0] => [(1,12),(2,9),(3,8),(4,7),(5,6),(10,11)] => [(1,6),(2,7),(3,8),(4,9),(5,11),(10,12)] => 0
[5,3,4,2,1,6] => [1,1,1,1,1,0,0,0,0,0,1,0] => [(1,10),(2,9),(3,8),(4,7),(5,6),(11,12)] => [(1,6),(2,7),(3,8),(4,9),(5,10),(11,12)] => 1
[5,3,4,2,6,1] => [1,1,1,1,1,0,0,0,0,1,0,0] => [(1,12),(2,9),(3,8),(4,7),(5,6),(10,11)] => [(1,6),(2,7),(3,8),(4,9),(5,11),(10,12)] => 0
[5,3,4,6,1,2] => [1,1,1,1,1,0,0,0,1,0,0,0] => [(1,12),(2,11),(3,8),(4,7),(5,6),(9,10)] => [(1,6),(2,7),(3,8),(4,10),(5,11),(9,12)] => 0
[5,3,4,6,2,1] => [1,1,1,1,1,0,0,0,1,0,0,0] => [(1,12),(2,11),(3,8),(4,7),(5,6),(9,10)] => [(1,6),(2,7),(3,8),(4,10),(5,11),(9,12)] => 0
[5,3,6,1,2,4] => [1,1,1,1,1,0,0,1,0,0,0,0] => [(1,12),(2,11),(3,10),(4,7),(5,6),(8,9)] => [(1,6),(2,7),(3,9),(4,10),(5,11),(8,12)] => 0
[5,3,6,1,4,2] => [1,1,1,1,1,0,0,1,0,0,0,0] => [(1,12),(2,11),(3,10),(4,7),(5,6),(8,9)] => [(1,6),(2,7),(3,9),(4,10),(5,11),(8,12)] => 0
[5,3,6,2,1,4] => [1,1,1,1,1,0,0,1,0,0,0,0] => [(1,12),(2,11),(3,10),(4,7),(5,6),(8,9)] => [(1,6),(2,7),(3,9),(4,10),(5,11),(8,12)] => 0
[5,3,6,2,4,1] => [1,1,1,1,1,0,0,1,0,0,0,0] => [(1,12),(2,11),(3,10),(4,7),(5,6),(8,9)] => [(1,6),(2,7),(3,9),(4,10),(5,11),(8,12)] => 0
[5,3,6,4,1,2] => [1,1,1,1,1,0,0,1,0,0,0,0] => [(1,12),(2,11),(3,10),(4,7),(5,6),(8,9)] => [(1,6),(2,7),(3,9),(4,10),(5,11),(8,12)] => 0
[5,3,6,4,2,1] => [1,1,1,1,1,0,0,1,0,0,0,0] => [(1,12),(2,11),(3,10),(4,7),(5,6),(8,9)] => [(1,6),(2,7),(3,9),(4,10),(5,11),(8,12)] => 0
[5,4,1,2,3,6] => [1,1,1,1,1,0,0,0,0,0,1,0] => [(1,10),(2,9),(3,8),(4,7),(5,6),(11,12)] => [(1,6),(2,7),(3,8),(4,9),(5,10),(11,12)] => 1
[5,4,1,2,6,3] => [1,1,1,1,1,0,0,0,0,1,0,0] => [(1,12),(2,9),(3,8),(4,7),(5,6),(10,11)] => [(1,6),(2,7),(3,8),(4,9),(5,11),(10,12)] => 0
[5,4,1,3,2,6] => [1,1,1,1,1,0,0,0,0,0,1,0] => [(1,10),(2,9),(3,8),(4,7),(5,6),(11,12)] => [(1,6),(2,7),(3,8),(4,9),(5,10),(11,12)] => 1
[5,4,1,3,6,2] => [1,1,1,1,1,0,0,0,0,1,0,0] => [(1,12),(2,9),(3,8),(4,7),(5,6),(10,11)] => [(1,6),(2,7),(3,8),(4,9),(5,11),(10,12)] => 0
[5,4,1,6,2,3] => [1,1,1,1,1,0,0,0,1,0,0,0] => [(1,12),(2,11),(3,8),(4,7),(5,6),(9,10)] => [(1,6),(2,7),(3,8),(4,10),(5,11),(9,12)] => 0
[5,4,1,6,3,2] => [1,1,1,1,1,0,0,0,1,0,0,0] => [(1,12),(2,11),(3,8),(4,7),(5,6),(9,10)] => [(1,6),(2,7),(3,8),(4,10),(5,11),(9,12)] => 0
[5,4,2,1,3,6] => [1,1,1,1,1,0,0,0,0,0,1,0] => [(1,10),(2,9),(3,8),(4,7),(5,6),(11,12)] => [(1,6),(2,7),(3,8),(4,9),(5,10),(11,12)] => 1
[5,4,2,1,6,3] => [1,1,1,1,1,0,0,0,0,1,0,0] => [(1,12),(2,9),(3,8),(4,7),(5,6),(10,11)] => [(1,6),(2,7),(3,8),(4,9),(5,11),(10,12)] => 0
[5,4,2,3,1,6] => [1,1,1,1,1,0,0,0,0,0,1,0] => [(1,10),(2,9),(3,8),(4,7),(5,6),(11,12)] => [(1,6),(2,7),(3,8),(4,9),(5,10),(11,12)] => 1
[5,4,2,3,6,1] => [1,1,1,1,1,0,0,0,0,1,0,0] => [(1,12),(2,9),(3,8),(4,7),(5,6),(10,11)] => [(1,6),(2,7),(3,8),(4,9),(5,11),(10,12)] => 0
[5,4,2,6,1,3] => [1,1,1,1,1,0,0,0,1,0,0,0] => [(1,12),(2,11),(3,8),(4,7),(5,6),(9,10)] => [(1,6),(2,7),(3,8),(4,10),(5,11),(9,12)] => 0
[5,4,2,6,3,1] => [1,1,1,1,1,0,0,0,1,0,0,0] => [(1,12),(2,11),(3,8),(4,7),(5,6),(9,10)] => [(1,6),(2,7),(3,8),(4,10),(5,11),(9,12)] => 0
[5,4,3,1,2,6] => [1,1,1,1,1,0,0,0,0,0,1,0] => [(1,10),(2,9),(3,8),(4,7),(5,6),(11,12)] => [(1,6),(2,7),(3,8),(4,9),(5,10),(11,12)] => 1
[5,4,3,1,6,2] => [1,1,1,1,1,0,0,0,0,1,0,0] => [(1,12),(2,9),(3,8),(4,7),(5,6),(10,11)] => [(1,6),(2,7),(3,8),(4,9),(5,11),(10,12)] => 0
[5,4,3,2,1,6] => [1,1,1,1,1,0,0,0,0,0,1,0] => [(1,10),(2,9),(3,8),(4,7),(5,6),(11,12)] => [(1,6),(2,7),(3,8),(4,9),(5,10),(11,12)] => 1
[5,4,3,2,6,1] => [1,1,1,1,1,0,0,0,0,1,0,0] => [(1,12),(2,9),(3,8),(4,7),(5,6),(10,11)] => [(1,6),(2,7),(3,8),(4,9),(5,11),(10,12)] => 0
[5,4,3,6,1,2] => [1,1,1,1,1,0,0,0,1,0,0,0] => [(1,12),(2,11),(3,8),(4,7),(5,6),(9,10)] => [(1,6),(2,7),(3,8),(4,10),(5,11),(9,12)] => 0
[5,4,3,6,2,1] => [1,1,1,1,1,0,0,0,1,0,0,0] => [(1,12),(2,11),(3,8),(4,7),(5,6),(9,10)] => [(1,6),(2,7),(3,8),(4,10),(5,11),(9,12)] => 0
[5,4,6,1,2,3] => [1,1,1,1,1,0,0,1,0,0,0,0] => [(1,12),(2,11),(3,10),(4,7),(5,6),(8,9)] => [(1,6),(2,7),(3,9),(4,10),(5,11),(8,12)] => 0
[5,4,6,1,3,2] => [1,1,1,1,1,0,0,1,0,0,0,0] => [(1,12),(2,11),(3,10),(4,7),(5,6),(8,9)] => [(1,6),(2,7),(3,9),(4,10),(5,11),(8,12)] => 0
[5,4,6,2,1,3] => [1,1,1,1,1,0,0,1,0,0,0,0] => [(1,12),(2,11),(3,10),(4,7),(5,6),(8,9)] => [(1,6),(2,7),(3,9),(4,10),(5,11),(8,12)] => 0
[5,4,6,2,3,1] => [1,1,1,1,1,0,0,1,0,0,0,0] => [(1,12),(2,11),(3,10),(4,7),(5,6),(8,9)] => [(1,6),(2,7),(3,9),(4,10),(5,11),(8,12)] => 0
[5,4,6,3,1,2] => [1,1,1,1,1,0,0,1,0,0,0,0] => [(1,12),(2,11),(3,10),(4,7),(5,6),(8,9)] => [(1,6),(2,7),(3,9),(4,10),(5,11),(8,12)] => 0
[5,4,6,3,2,1] => [1,1,1,1,1,0,0,1,0,0,0,0] => [(1,12),(2,11),(3,10),(4,7),(5,6),(8,9)] => [(1,6),(2,7),(3,9),(4,10),(5,11),(8,12)] => 0
[5,6,1,2,3,4] => [1,1,1,1,1,0,1,0,0,0,0,0] => [(1,12),(2,11),(3,10),(4,9),(5,6),(7,8)] => [(1,6),(2,8),(3,9),(4,10),(5,11),(7,12)] => 0
[5,6,1,2,4,3] => [1,1,1,1,1,0,1,0,0,0,0,0] => [(1,12),(2,11),(3,10),(4,9),(5,6),(7,8)] => [(1,6),(2,8),(3,9),(4,10),(5,11),(7,12)] => 0
[5,6,1,3,2,4] => [1,1,1,1,1,0,1,0,0,0,0,0] => [(1,12),(2,11),(3,10),(4,9),(5,6),(7,8)] => [(1,6),(2,8),(3,9),(4,10),(5,11),(7,12)] => 0
[5,6,1,3,4,2] => [1,1,1,1,1,0,1,0,0,0,0,0] => [(1,12),(2,11),(3,10),(4,9),(5,6),(7,8)] => [(1,6),(2,8),(3,9),(4,10),(5,11),(7,12)] => 0
[5,6,1,4,2,3] => [1,1,1,1,1,0,1,0,0,0,0,0] => [(1,12),(2,11),(3,10),(4,9),(5,6),(7,8)] => [(1,6),(2,8),(3,9),(4,10),(5,11),(7,12)] => 0
[5,6,1,4,3,2] => [1,1,1,1,1,0,1,0,0,0,0,0] => [(1,12),(2,11),(3,10),(4,9),(5,6),(7,8)] => [(1,6),(2,8),(3,9),(4,10),(5,11),(7,12)] => 0
[5,6,2,1,3,4] => [1,1,1,1,1,0,1,0,0,0,0,0] => [(1,12),(2,11),(3,10),(4,9),(5,6),(7,8)] => [(1,6),(2,8),(3,9),(4,10),(5,11),(7,12)] => 0
[5,6,2,1,4,3] => [1,1,1,1,1,0,1,0,0,0,0,0] => [(1,12),(2,11),(3,10),(4,9),(5,6),(7,8)] => [(1,6),(2,8),(3,9),(4,10),(5,11),(7,12)] => 0
[5,6,2,3,1,4] => [1,1,1,1,1,0,1,0,0,0,0,0] => [(1,12),(2,11),(3,10),(4,9),(5,6),(7,8)] => [(1,6),(2,8),(3,9),(4,10),(5,11),(7,12)] => 0
[5,6,2,3,4,1] => [1,1,1,1,1,0,1,0,0,0,0,0] => [(1,12),(2,11),(3,10),(4,9),(5,6),(7,8)] => [(1,6),(2,8),(3,9),(4,10),(5,11),(7,12)] => 0
[5,6,2,4,1,3] => [1,1,1,1,1,0,1,0,0,0,0,0] => [(1,12),(2,11),(3,10),(4,9),(5,6),(7,8)] => [(1,6),(2,8),(3,9),(4,10),(5,11),(7,12)] => 0
[5,6,2,4,3,1] => [1,1,1,1,1,0,1,0,0,0,0,0] => [(1,12),(2,11),(3,10),(4,9),(5,6),(7,8)] => [(1,6),(2,8),(3,9),(4,10),(5,11),(7,12)] => 0
[5,6,3,1,2,4] => [1,1,1,1,1,0,1,0,0,0,0,0] => [(1,12),(2,11),(3,10),(4,9),(5,6),(7,8)] => [(1,6),(2,8),(3,9),(4,10),(5,11),(7,12)] => 0
[5,6,3,1,4,2] => [1,1,1,1,1,0,1,0,0,0,0,0] => [(1,12),(2,11),(3,10),(4,9),(5,6),(7,8)] => [(1,6),(2,8),(3,9),(4,10),(5,11),(7,12)] => 0
[5,6,3,2,1,4] => [1,1,1,1,1,0,1,0,0,0,0,0] => [(1,12),(2,11),(3,10),(4,9),(5,6),(7,8)] => [(1,6),(2,8),(3,9),(4,10),(5,11),(7,12)] => 0
[5,6,3,2,4,1] => [1,1,1,1,1,0,1,0,0,0,0,0] => [(1,12),(2,11),(3,10),(4,9),(5,6),(7,8)] => [(1,6),(2,8),(3,9),(4,10),(5,11),(7,12)] => 0
[5,6,3,4,1,2] => [1,1,1,1,1,0,1,0,0,0,0,0] => [(1,12),(2,11),(3,10),(4,9),(5,6),(7,8)] => [(1,6),(2,8),(3,9),(4,10),(5,11),(7,12)] => 0
[5,6,3,4,2,1] => [1,1,1,1,1,0,1,0,0,0,0,0] => [(1,12),(2,11),(3,10),(4,9),(5,6),(7,8)] => [(1,6),(2,8),(3,9),(4,10),(5,11),(7,12)] => 0
[5,6,4,1,2,3] => [1,1,1,1,1,0,1,0,0,0,0,0] => [(1,12),(2,11),(3,10),(4,9),(5,6),(7,8)] => [(1,6),(2,8),(3,9),(4,10),(5,11),(7,12)] => 0
[5,6,4,1,3,2] => [1,1,1,1,1,0,1,0,0,0,0,0] => [(1,12),(2,11),(3,10),(4,9),(5,6),(7,8)] => [(1,6),(2,8),(3,9),(4,10),(5,11),(7,12)] => 0
[5,6,4,2,1,3] => [1,1,1,1,1,0,1,0,0,0,0,0] => [(1,12),(2,11),(3,10),(4,9),(5,6),(7,8)] => [(1,6),(2,8),(3,9),(4,10),(5,11),(7,12)] => 0
[5,6,4,2,3,1] => [1,1,1,1,1,0,1,0,0,0,0,0] => [(1,12),(2,11),(3,10),(4,9),(5,6),(7,8)] => [(1,6),(2,8),(3,9),(4,10),(5,11),(7,12)] => 0
[5,6,4,3,1,2] => [1,1,1,1,1,0,1,0,0,0,0,0] => [(1,12),(2,11),(3,10),(4,9),(5,6),(7,8)] => [(1,6),(2,8),(3,9),(4,10),(5,11),(7,12)] => 0
[5,6,4,3,2,1] => [1,1,1,1,1,0,1,0,0,0,0,0] => [(1,12),(2,11),(3,10),(4,9),(5,6),(7,8)] => [(1,6),(2,8),(3,9),(4,10),(5,11),(7,12)] => 0
[6,1,2,3,4,5] => [1,1,1,1,1,1,0,0,0,0,0,0] => [(1,12),(2,11),(3,10),(4,9),(5,8),(6,7)] => [(1,7),(2,8),(3,9),(4,10),(5,11),(6,12)] => 0
[6,1,2,3,5,4] => [1,1,1,1,1,1,0,0,0,0,0,0] => [(1,12),(2,11),(3,10),(4,9),(5,8),(6,7)] => [(1,7),(2,8),(3,9),(4,10),(5,11),(6,12)] => 0
[6,1,2,4,3,5] => [1,1,1,1,1,1,0,0,0,0,0,0] => [(1,12),(2,11),(3,10),(4,9),(5,8),(6,7)] => [(1,7),(2,8),(3,9),(4,10),(5,11),(6,12)] => 0
[6,1,2,4,5,3] => [1,1,1,1,1,1,0,0,0,0,0,0] => [(1,12),(2,11),(3,10),(4,9),(5,8),(6,7)] => [(1,7),(2,8),(3,9),(4,10),(5,11),(6,12)] => 0
[6,1,2,5,3,4] => [1,1,1,1,1,1,0,0,0,0,0,0] => [(1,12),(2,11),(3,10),(4,9),(5,8),(6,7)] => [(1,7),(2,8),(3,9),(4,10),(5,11),(6,12)] => 0
[6,1,2,5,4,3] => [1,1,1,1,1,1,0,0,0,0,0,0] => [(1,12),(2,11),(3,10),(4,9),(5,8),(6,7)] => [(1,7),(2,8),(3,9),(4,10),(5,11),(6,12)] => 0
[6,1,3,2,4,5] => [1,1,1,1,1,1,0,0,0,0,0,0] => [(1,12),(2,11),(3,10),(4,9),(5,8),(6,7)] => [(1,7),(2,8),(3,9),(4,10),(5,11),(6,12)] => 0
[6,1,3,2,5,4] => [1,1,1,1,1,1,0,0,0,0,0,0] => [(1,12),(2,11),(3,10),(4,9),(5,8),(6,7)] => [(1,7),(2,8),(3,9),(4,10),(5,11),(6,12)] => 0
[6,1,3,4,2,5] => [1,1,1,1,1,1,0,0,0,0,0,0] => [(1,12),(2,11),(3,10),(4,9),(5,8),(6,7)] => [(1,7),(2,8),(3,9),(4,10),(5,11),(6,12)] => 0
[6,1,3,4,5,2] => [1,1,1,1,1,1,0,0,0,0,0,0] => [(1,12),(2,11),(3,10),(4,9),(5,8),(6,7)] => [(1,7),(2,8),(3,9),(4,10),(5,11),(6,12)] => 0
[6,1,3,5,2,4] => [1,1,1,1,1,1,0,0,0,0,0,0] => [(1,12),(2,11),(3,10),(4,9),(5,8),(6,7)] => [(1,7),(2,8),(3,9),(4,10),(5,11),(6,12)] => 0
[6,1,3,5,4,2] => [1,1,1,1,1,1,0,0,0,0,0,0] => [(1,12),(2,11),(3,10),(4,9),(5,8),(6,7)] => [(1,7),(2,8),(3,9),(4,10),(5,11),(6,12)] => 0
[6,1,4,2,3,5] => [1,1,1,1,1,1,0,0,0,0,0,0] => [(1,12),(2,11),(3,10),(4,9),(5,8),(6,7)] => [(1,7),(2,8),(3,9),(4,10),(5,11),(6,12)] => 0
[6,1,4,2,5,3] => [1,1,1,1,1,1,0,0,0,0,0,0] => [(1,12),(2,11),(3,10),(4,9),(5,8),(6,7)] => [(1,7),(2,8),(3,9),(4,10),(5,11),(6,12)] => 0
[6,1,4,3,2,5] => [1,1,1,1,1,1,0,0,0,0,0,0] => [(1,12),(2,11),(3,10),(4,9),(5,8),(6,7)] => [(1,7),(2,8),(3,9),(4,10),(5,11),(6,12)] => 0
[6,1,4,3,5,2] => [1,1,1,1,1,1,0,0,0,0,0,0] => [(1,12),(2,11),(3,10),(4,9),(5,8),(6,7)] => [(1,7),(2,8),(3,9),(4,10),(5,11),(6,12)] => 0
[6,1,4,5,2,3] => [1,1,1,1,1,1,0,0,0,0,0,0] => [(1,12),(2,11),(3,10),(4,9),(5,8),(6,7)] => [(1,7),(2,8),(3,9),(4,10),(5,11),(6,12)] => 0
[6,1,4,5,3,2] => [1,1,1,1,1,1,0,0,0,0,0,0] => [(1,12),(2,11),(3,10),(4,9),(5,8),(6,7)] => [(1,7),(2,8),(3,9),(4,10),(5,11),(6,12)] => 0
[6,1,5,2,3,4] => [1,1,1,1,1,1,0,0,0,0,0,0] => [(1,12),(2,11),(3,10),(4,9),(5,8),(6,7)] => [(1,7),(2,8),(3,9),(4,10),(5,11),(6,12)] => 0
[6,1,5,2,4,3] => [1,1,1,1,1,1,0,0,0,0,0,0] => [(1,12),(2,11),(3,10),(4,9),(5,8),(6,7)] => [(1,7),(2,8),(3,9),(4,10),(5,11),(6,12)] => 0
[6,1,5,3,2,4] => [1,1,1,1,1,1,0,0,0,0,0,0] => [(1,12),(2,11),(3,10),(4,9),(5,8),(6,7)] => [(1,7),(2,8),(3,9),(4,10),(5,11),(6,12)] => 0
[6,1,5,3,4,2] => [1,1,1,1,1,1,0,0,0,0,0,0] => [(1,12),(2,11),(3,10),(4,9),(5,8),(6,7)] => [(1,7),(2,8),(3,9),(4,10),(5,11),(6,12)] => 0
[6,1,5,4,2,3] => [1,1,1,1,1,1,0,0,0,0,0,0] => [(1,12),(2,11),(3,10),(4,9),(5,8),(6,7)] => [(1,7),(2,8),(3,9),(4,10),(5,11),(6,12)] => 0
[6,1,5,4,3,2] => [1,1,1,1,1,1,0,0,0,0,0,0] => [(1,12),(2,11),(3,10),(4,9),(5,8),(6,7)] => [(1,7),(2,8),(3,9),(4,10),(5,11),(6,12)] => 0
[6,2,1,3,4,5] => [1,1,1,1,1,1,0,0,0,0,0,0] => [(1,12),(2,11),(3,10),(4,9),(5,8),(6,7)] => [(1,7),(2,8),(3,9),(4,10),(5,11),(6,12)] => 0
[6,2,1,3,5,4] => [1,1,1,1,1,1,0,0,0,0,0,0] => [(1,12),(2,11),(3,10),(4,9),(5,8),(6,7)] => [(1,7),(2,8),(3,9),(4,10),(5,11),(6,12)] => 0
[6,2,1,4,3,5] => [1,1,1,1,1,1,0,0,0,0,0,0] => [(1,12),(2,11),(3,10),(4,9),(5,8),(6,7)] => [(1,7),(2,8),(3,9),(4,10),(5,11),(6,12)] => 0
[6,2,1,4,5,3] => [1,1,1,1,1,1,0,0,0,0,0,0] => [(1,12),(2,11),(3,10),(4,9),(5,8),(6,7)] => [(1,7),(2,8),(3,9),(4,10),(5,11),(6,12)] => 0
[6,2,1,5,3,4] => [1,1,1,1,1,1,0,0,0,0,0,0] => [(1,12),(2,11),(3,10),(4,9),(5,8),(6,7)] => [(1,7),(2,8),(3,9),(4,10),(5,11),(6,12)] => 0
[6,2,1,5,4,3] => [1,1,1,1,1,1,0,0,0,0,0,0] => [(1,12),(2,11),(3,10),(4,9),(5,8),(6,7)] => [(1,7),(2,8),(3,9),(4,10),(5,11),(6,12)] => 0
[6,2,3,1,4,5] => [1,1,1,1,1,1,0,0,0,0,0,0] => [(1,12),(2,11),(3,10),(4,9),(5,8),(6,7)] => [(1,7),(2,8),(3,9),(4,10),(5,11),(6,12)] => 0
[6,2,3,1,5,4] => [1,1,1,1,1,1,0,0,0,0,0,0] => [(1,12),(2,11),(3,10),(4,9),(5,8),(6,7)] => [(1,7),(2,8),(3,9),(4,10),(5,11),(6,12)] => 0
[6,2,3,4,1,5] => [1,1,1,1,1,1,0,0,0,0,0,0] => [(1,12),(2,11),(3,10),(4,9),(5,8),(6,7)] => [(1,7),(2,8),(3,9),(4,10),(5,11),(6,12)] => 0
[6,2,3,4,5,1] => [1,1,1,1,1,1,0,0,0,0,0,0] => [(1,12),(2,11),(3,10),(4,9),(5,8),(6,7)] => [(1,7),(2,8),(3,9),(4,10),(5,11),(6,12)] => 0
[6,2,3,5,1,4] => [1,1,1,1,1,1,0,0,0,0,0,0] => [(1,12),(2,11),(3,10),(4,9),(5,8),(6,7)] => [(1,7),(2,8),(3,9),(4,10),(5,11),(6,12)] => 0
[6,2,3,5,4,1] => [1,1,1,1,1,1,0,0,0,0,0,0] => [(1,12),(2,11),(3,10),(4,9),(5,8),(6,7)] => [(1,7),(2,8),(3,9),(4,10),(5,11),(6,12)] => 0
[6,2,4,1,3,5] => [1,1,1,1,1,1,0,0,0,0,0,0] => [(1,12),(2,11),(3,10),(4,9),(5,8),(6,7)] => [(1,7),(2,8),(3,9),(4,10),(5,11),(6,12)] => 0
[6,2,4,1,5,3] => [1,1,1,1,1,1,0,0,0,0,0,0] => [(1,12),(2,11),(3,10),(4,9),(5,8),(6,7)] => [(1,7),(2,8),(3,9),(4,10),(5,11),(6,12)] => 0
[6,2,4,3,1,5] => [1,1,1,1,1,1,0,0,0,0,0,0] => [(1,12),(2,11),(3,10),(4,9),(5,8),(6,7)] => [(1,7),(2,8),(3,9),(4,10),(5,11),(6,12)] => 0
[6,2,4,3,5,1] => [1,1,1,1,1,1,0,0,0,0,0,0] => [(1,12),(2,11),(3,10),(4,9),(5,8),(6,7)] => [(1,7),(2,8),(3,9),(4,10),(5,11),(6,12)] => 0
[6,2,4,5,1,3] => [1,1,1,1,1,1,0,0,0,0,0,0] => [(1,12),(2,11),(3,10),(4,9),(5,8),(6,7)] => [(1,7),(2,8),(3,9),(4,10),(5,11),(6,12)] => 0
[6,2,4,5,3,1] => [1,1,1,1,1,1,0,0,0,0,0,0] => [(1,12),(2,11),(3,10),(4,9),(5,8),(6,7)] => [(1,7),(2,8),(3,9),(4,10),(5,11),(6,12)] => 0
[6,2,5,1,3,4] => [1,1,1,1,1,1,0,0,0,0,0,0] => [(1,12),(2,11),(3,10),(4,9),(5,8),(6,7)] => [(1,7),(2,8),(3,9),(4,10),(5,11),(6,12)] => 0
[6,2,5,1,4,3] => [1,1,1,1,1,1,0,0,0,0,0,0] => [(1,12),(2,11),(3,10),(4,9),(5,8),(6,7)] => [(1,7),(2,8),(3,9),(4,10),(5,11),(6,12)] => 0
[6,2,5,3,1,4] => [1,1,1,1,1,1,0,0,0,0,0,0] => [(1,12),(2,11),(3,10),(4,9),(5,8),(6,7)] => [(1,7),(2,8),(3,9),(4,10),(5,11),(6,12)] => 0
[6,2,5,3,4,1] => [1,1,1,1,1,1,0,0,0,0,0,0] => [(1,12),(2,11),(3,10),(4,9),(5,8),(6,7)] => [(1,7),(2,8),(3,9),(4,10),(5,11),(6,12)] => 0
[6,2,5,4,1,3] => [1,1,1,1,1,1,0,0,0,0,0,0] => [(1,12),(2,11),(3,10),(4,9),(5,8),(6,7)] => [(1,7),(2,8),(3,9),(4,10),(5,11),(6,12)] => 0
[6,2,5,4,3,1] => [1,1,1,1,1,1,0,0,0,0,0,0] => [(1,12),(2,11),(3,10),(4,9),(5,8),(6,7)] => [(1,7),(2,8),(3,9),(4,10),(5,11),(6,12)] => 0
[6,3,1,2,4,5] => [1,1,1,1,1,1,0,0,0,0,0,0] => [(1,12),(2,11),(3,10),(4,9),(5,8),(6,7)] => [(1,7),(2,8),(3,9),(4,10),(5,11),(6,12)] => 0
[6,3,1,2,5,4] => [1,1,1,1,1,1,0,0,0,0,0,0] => [(1,12),(2,11),(3,10),(4,9),(5,8),(6,7)] => [(1,7),(2,8),(3,9),(4,10),(5,11),(6,12)] => 0
[6,3,1,4,2,5] => [1,1,1,1,1,1,0,0,0,0,0,0] => [(1,12),(2,11),(3,10),(4,9),(5,8),(6,7)] => [(1,7),(2,8),(3,9),(4,10),(5,11),(6,12)] => 0
[6,3,1,4,5,2] => [1,1,1,1,1,1,0,0,0,0,0,0] => [(1,12),(2,11),(3,10),(4,9),(5,8),(6,7)] => [(1,7),(2,8),(3,9),(4,10),(5,11),(6,12)] => 0
[6,3,1,5,2,4] => [1,1,1,1,1,1,0,0,0,0,0,0] => [(1,12),(2,11),(3,10),(4,9),(5,8),(6,7)] => [(1,7),(2,8),(3,9),(4,10),(5,11),(6,12)] => 0
[6,3,1,5,4,2] => [1,1,1,1,1,1,0,0,0,0,0,0] => [(1,12),(2,11),(3,10),(4,9),(5,8),(6,7)] => [(1,7),(2,8),(3,9),(4,10),(5,11),(6,12)] => 0
[6,3,2,1,4,5] => [1,1,1,1,1,1,0,0,0,0,0,0] => [(1,12),(2,11),(3,10),(4,9),(5,8),(6,7)] => [(1,7),(2,8),(3,9),(4,10),(5,11),(6,12)] => 0
[6,3,2,1,5,4] => [1,1,1,1,1,1,0,0,0,0,0,0] => [(1,12),(2,11),(3,10),(4,9),(5,8),(6,7)] => [(1,7),(2,8),(3,9),(4,10),(5,11),(6,12)] => 0
[6,3,2,4,1,5] => [1,1,1,1,1,1,0,0,0,0,0,0] => [(1,12),(2,11),(3,10),(4,9),(5,8),(6,7)] => [(1,7),(2,8),(3,9),(4,10),(5,11),(6,12)] => 0
[6,3,2,4,5,1] => [1,1,1,1,1,1,0,0,0,0,0,0] => [(1,12),(2,11),(3,10),(4,9),(5,8),(6,7)] => [(1,7),(2,8),(3,9),(4,10),(5,11),(6,12)] => 0
[6,3,2,5,1,4] => [1,1,1,1,1,1,0,0,0,0,0,0] => [(1,12),(2,11),(3,10),(4,9),(5,8),(6,7)] => [(1,7),(2,8),(3,9),(4,10),(5,11),(6,12)] => 0
[6,3,2,5,4,1] => [1,1,1,1,1,1,0,0,0,0,0,0] => [(1,12),(2,11),(3,10),(4,9),(5,8),(6,7)] => [(1,7),(2,8),(3,9),(4,10),(5,11),(6,12)] => 0
[6,3,4,1,2,5] => [1,1,1,1,1,1,0,0,0,0,0,0] => [(1,12),(2,11),(3,10),(4,9),(5,8),(6,7)] => [(1,7),(2,8),(3,9),(4,10),(5,11),(6,12)] => 0
[6,3,4,1,5,2] => [1,1,1,1,1,1,0,0,0,0,0,0] => [(1,12),(2,11),(3,10),(4,9),(5,8),(6,7)] => [(1,7),(2,8),(3,9),(4,10),(5,11),(6,12)] => 0
[6,3,4,2,1,5] => [1,1,1,1,1,1,0,0,0,0,0,0] => [(1,12),(2,11),(3,10),(4,9),(5,8),(6,7)] => [(1,7),(2,8),(3,9),(4,10),(5,11),(6,12)] => 0
[6,3,4,2,5,1] => [1,1,1,1,1,1,0,0,0,0,0,0] => [(1,12),(2,11),(3,10),(4,9),(5,8),(6,7)] => [(1,7),(2,8),(3,9),(4,10),(5,11),(6,12)] => 0
[6,3,4,5,1,2] => [1,1,1,1,1,1,0,0,0,0,0,0] => [(1,12),(2,11),(3,10),(4,9),(5,8),(6,7)] => [(1,7),(2,8),(3,9),(4,10),(5,11),(6,12)] => 0
[6,3,4,5,2,1] => [1,1,1,1,1,1,0,0,0,0,0,0] => [(1,12),(2,11),(3,10),(4,9),(5,8),(6,7)] => [(1,7),(2,8),(3,9),(4,10),(5,11),(6,12)] => 0
[6,3,5,1,2,4] => [1,1,1,1,1,1,0,0,0,0,0,0] => [(1,12),(2,11),(3,10),(4,9),(5,8),(6,7)] => [(1,7),(2,8),(3,9),(4,10),(5,11),(6,12)] => 0
[6,3,5,1,4,2] => [1,1,1,1,1,1,0,0,0,0,0,0] => [(1,12),(2,11),(3,10),(4,9),(5,8),(6,7)] => [(1,7),(2,8),(3,9),(4,10),(5,11),(6,12)] => 0
[6,3,5,2,1,4] => [1,1,1,1,1,1,0,0,0,0,0,0] => [(1,12),(2,11),(3,10),(4,9),(5,8),(6,7)] => [(1,7),(2,8),(3,9),(4,10),(5,11),(6,12)] => 0
[6,3,5,2,4,1] => [1,1,1,1,1,1,0,0,0,0,0,0] => [(1,12),(2,11),(3,10),(4,9),(5,8),(6,7)] => [(1,7),(2,8),(3,9),(4,10),(5,11),(6,12)] => 0
[6,3,5,4,1,2] => [1,1,1,1,1,1,0,0,0,0,0,0] => [(1,12),(2,11),(3,10),(4,9),(5,8),(6,7)] => [(1,7),(2,8),(3,9),(4,10),(5,11),(6,12)] => 0
[6,3,5,4,2,1] => [1,1,1,1,1,1,0,0,0,0,0,0] => [(1,12),(2,11),(3,10),(4,9),(5,8),(6,7)] => [(1,7),(2,8),(3,9),(4,10),(5,11),(6,12)] => 0
[6,4,1,2,3,5] => [1,1,1,1,1,1,0,0,0,0,0,0] => [(1,12),(2,11),(3,10),(4,9),(5,8),(6,7)] => [(1,7),(2,8),(3,9),(4,10),(5,11),(6,12)] => 0
[6,4,1,2,5,3] => [1,1,1,1,1,1,0,0,0,0,0,0] => [(1,12),(2,11),(3,10),(4,9),(5,8),(6,7)] => [(1,7),(2,8),(3,9),(4,10),(5,11),(6,12)] => 0
[6,4,1,3,2,5] => [1,1,1,1,1,1,0,0,0,0,0,0] => [(1,12),(2,11),(3,10),(4,9),(5,8),(6,7)] => [(1,7),(2,8),(3,9),(4,10),(5,11),(6,12)] => 0
[6,4,1,3,5,2] => [1,1,1,1,1,1,0,0,0,0,0,0] => [(1,12),(2,11),(3,10),(4,9),(5,8),(6,7)] => [(1,7),(2,8),(3,9),(4,10),(5,11),(6,12)] => 0
[6,4,1,5,2,3] => [1,1,1,1,1,1,0,0,0,0,0,0] => [(1,12),(2,11),(3,10),(4,9),(5,8),(6,7)] => [(1,7),(2,8),(3,9),(4,10),(5,11),(6,12)] => 0
[6,4,1,5,3,2] => [1,1,1,1,1,1,0,0,0,0,0,0] => [(1,12),(2,11),(3,10),(4,9),(5,8),(6,7)] => [(1,7),(2,8),(3,9),(4,10),(5,11),(6,12)] => 0
[6,4,2,1,3,5] => [1,1,1,1,1,1,0,0,0,0,0,0] => [(1,12),(2,11),(3,10),(4,9),(5,8),(6,7)] => [(1,7),(2,8),(3,9),(4,10),(5,11),(6,12)] => 0
[6,4,2,1,5,3] => [1,1,1,1,1,1,0,0,0,0,0,0] => [(1,12),(2,11),(3,10),(4,9),(5,8),(6,7)] => [(1,7),(2,8),(3,9),(4,10),(5,11),(6,12)] => 0
[6,4,2,3,1,5] => [1,1,1,1,1,1,0,0,0,0,0,0] => [(1,12),(2,11),(3,10),(4,9),(5,8),(6,7)] => [(1,7),(2,8),(3,9),(4,10),(5,11),(6,12)] => 0
[6,4,2,3,5,1] => [1,1,1,1,1,1,0,0,0,0,0,0] => [(1,12),(2,11),(3,10),(4,9),(5,8),(6,7)] => [(1,7),(2,8),(3,9),(4,10),(5,11),(6,12)] => 0
[6,4,2,5,1,3] => [1,1,1,1,1,1,0,0,0,0,0,0] => [(1,12),(2,11),(3,10),(4,9),(5,8),(6,7)] => [(1,7),(2,8),(3,9),(4,10),(5,11),(6,12)] => 0
[6,4,2,5,3,1] => [1,1,1,1,1,1,0,0,0,0,0,0] => [(1,12),(2,11),(3,10),(4,9),(5,8),(6,7)] => [(1,7),(2,8),(3,9),(4,10),(5,11),(6,12)] => 0
[6,4,3,1,2,5] => [1,1,1,1,1,1,0,0,0,0,0,0] => [(1,12),(2,11),(3,10),(4,9),(5,8),(6,7)] => [(1,7),(2,8),(3,9),(4,10),(5,11),(6,12)] => 0
[6,4,3,1,5,2] => [1,1,1,1,1,1,0,0,0,0,0,0] => [(1,12),(2,11),(3,10),(4,9),(5,8),(6,7)] => [(1,7),(2,8),(3,9),(4,10),(5,11),(6,12)] => 0
[6,4,3,2,1,5] => [1,1,1,1,1,1,0,0,0,0,0,0] => [(1,12),(2,11),(3,10),(4,9),(5,8),(6,7)] => [(1,7),(2,8),(3,9),(4,10),(5,11),(6,12)] => 0
[6,4,3,2,5,1] => [1,1,1,1,1,1,0,0,0,0,0,0] => [(1,12),(2,11),(3,10),(4,9),(5,8),(6,7)] => [(1,7),(2,8),(3,9),(4,10),(5,11),(6,12)] => 0
[6,4,3,5,1,2] => [1,1,1,1,1,1,0,0,0,0,0,0] => [(1,12),(2,11),(3,10),(4,9),(5,8),(6,7)] => [(1,7),(2,8),(3,9),(4,10),(5,11),(6,12)] => 0
[6,4,3,5,2,1] => [1,1,1,1,1,1,0,0,0,0,0,0] => [(1,12),(2,11),(3,10),(4,9),(5,8),(6,7)] => [(1,7),(2,8),(3,9),(4,10),(5,11),(6,12)] => 0
[6,4,5,1,2,3] => [1,1,1,1,1,1,0,0,0,0,0,0] => [(1,12),(2,11),(3,10),(4,9),(5,8),(6,7)] => [(1,7),(2,8),(3,9),(4,10),(5,11),(6,12)] => 0
[6,4,5,1,3,2] => [1,1,1,1,1,1,0,0,0,0,0,0] => [(1,12),(2,11),(3,10),(4,9),(5,8),(6,7)] => [(1,7),(2,8),(3,9),(4,10),(5,11),(6,12)] => 0
[6,4,5,2,1,3] => [1,1,1,1,1,1,0,0,0,0,0,0] => [(1,12),(2,11),(3,10),(4,9),(5,8),(6,7)] => [(1,7),(2,8),(3,9),(4,10),(5,11),(6,12)] => 0
[6,4,5,2,3,1] => [1,1,1,1,1,1,0,0,0,0,0,0] => [(1,12),(2,11),(3,10),(4,9),(5,8),(6,7)] => [(1,7),(2,8),(3,9),(4,10),(5,11),(6,12)] => 0
[6,4,5,3,1,2] => [1,1,1,1,1,1,0,0,0,0,0,0] => [(1,12),(2,11),(3,10),(4,9),(5,8),(6,7)] => [(1,7),(2,8),(3,9),(4,10),(5,11),(6,12)] => 0
[6,4,5,3,2,1] => [1,1,1,1,1,1,0,0,0,0,0,0] => [(1,12),(2,11),(3,10),(4,9),(5,8),(6,7)] => [(1,7),(2,8),(3,9),(4,10),(5,11),(6,12)] => 0
[6,5,1,2,3,4] => [1,1,1,1,1,1,0,0,0,0,0,0] => [(1,12),(2,11),(3,10),(4,9),(5,8),(6,7)] => [(1,7),(2,8),(3,9),(4,10),(5,11),(6,12)] => 0
[6,5,1,2,4,3] => [1,1,1,1,1,1,0,0,0,0,0,0] => [(1,12),(2,11),(3,10),(4,9),(5,8),(6,7)] => [(1,7),(2,8),(3,9),(4,10),(5,11),(6,12)] => 0
[6,5,1,3,2,4] => [1,1,1,1,1,1,0,0,0,0,0,0] => [(1,12),(2,11),(3,10),(4,9),(5,8),(6,7)] => [(1,7),(2,8),(3,9),(4,10),(5,11),(6,12)] => 0
[6,5,1,3,4,2] => [1,1,1,1,1,1,0,0,0,0,0,0] => [(1,12),(2,11),(3,10),(4,9),(5,8),(6,7)] => [(1,7),(2,8),(3,9),(4,10),(5,11),(6,12)] => 0
[6,5,1,4,2,3] => [1,1,1,1,1,1,0,0,0,0,0,0] => [(1,12),(2,11),(3,10),(4,9),(5,8),(6,7)] => [(1,7),(2,8),(3,9),(4,10),(5,11),(6,12)] => 0
[6,5,1,4,3,2] => [1,1,1,1,1,1,0,0,0,0,0,0] => [(1,12),(2,11),(3,10),(4,9),(5,8),(6,7)] => [(1,7),(2,8),(3,9),(4,10),(5,11),(6,12)] => 0
[6,5,2,1,3,4] => [1,1,1,1,1,1,0,0,0,0,0,0] => [(1,12),(2,11),(3,10),(4,9),(5,8),(6,7)] => [(1,7),(2,8),(3,9),(4,10),(5,11),(6,12)] => 0
[6,5,2,1,4,3] => [1,1,1,1,1,1,0,0,0,0,0,0] => [(1,12),(2,11),(3,10),(4,9),(5,8),(6,7)] => [(1,7),(2,8),(3,9),(4,10),(5,11),(6,12)] => 0
[6,5,2,3,1,4] => [1,1,1,1,1,1,0,0,0,0,0,0] => [(1,12),(2,11),(3,10),(4,9),(5,8),(6,7)] => [(1,7),(2,8),(3,9),(4,10),(5,11),(6,12)] => 0
[6,5,2,3,4,1] => [1,1,1,1,1,1,0,0,0,0,0,0] => [(1,12),(2,11),(3,10),(4,9),(5,8),(6,7)] => [(1,7),(2,8),(3,9),(4,10),(5,11),(6,12)] => 0
[6,5,2,4,1,3] => [1,1,1,1,1,1,0,0,0,0,0,0] => [(1,12),(2,11),(3,10),(4,9),(5,8),(6,7)] => [(1,7),(2,8),(3,9),(4,10),(5,11),(6,12)] => 0
[6,5,2,4,3,1] => [1,1,1,1,1,1,0,0,0,0,0,0] => [(1,12),(2,11),(3,10),(4,9),(5,8),(6,7)] => [(1,7),(2,8),(3,9),(4,10),(5,11),(6,12)] => 0
[6,5,3,1,2,4] => [1,1,1,1,1,1,0,0,0,0,0,0] => [(1,12),(2,11),(3,10),(4,9),(5,8),(6,7)] => [(1,7),(2,8),(3,9),(4,10),(5,11),(6,12)] => 0
[6,5,3,1,4,2] => [1,1,1,1,1,1,0,0,0,0,0,0] => [(1,12),(2,11),(3,10),(4,9),(5,8),(6,7)] => [(1,7),(2,8),(3,9),(4,10),(5,11),(6,12)] => 0
[6,5,3,2,1,4] => [1,1,1,1,1,1,0,0,0,0,0,0] => [(1,12),(2,11),(3,10),(4,9),(5,8),(6,7)] => [(1,7),(2,8),(3,9),(4,10),(5,11),(6,12)] => 0
[6,5,3,2,4,1] => [1,1,1,1,1,1,0,0,0,0,0,0] => [(1,12),(2,11),(3,10),(4,9),(5,8),(6,7)] => [(1,7),(2,8),(3,9),(4,10),(5,11),(6,12)] => 0
[6,5,3,4,1,2] => [1,1,1,1,1,1,0,0,0,0,0,0] => [(1,12),(2,11),(3,10),(4,9),(5,8),(6,7)] => [(1,7),(2,8),(3,9),(4,10),(5,11),(6,12)] => 0
[6,5,3,4,2,1] => [1,1,1,1,1,1,0,0,0,0,0,0] => [(1,12),(2,11),(3,10),(4,9),(5,8),(6,7)] => [(1,7),(2,8),(3,9),(4,10),(5,11),(6,12)] => 0
[6,5,4,1,2,3] => [1,1,1,1,1,1,0,0,0,0,0,0] => [(1,12),(2,11),(3,10),(4,9),(5,8),(6,7)] => [(1,7),(2,8),(3,9),(4,10),(5,11),(6,12)] => 0
[6,5,4,1,3,2] => [1,1,1,1,1,1,0,0,0,0,0,0] => [(1,12),(2,11),(3,10),(4,9),(5,8),(6,7)] => [(1,7),(2,8),(3,9),(4,10),(5,11),(6,12)] => 0
[6,5,4,2,1,3] => [1,1,1,1,1,1,0,0,0,0,0,0] => [(1,12),(2,11),(3,10),(4,9),(5,8),(6,7)] => [(1,7),(2,8),(3,9),(4,10),(5,11),(6,12)] => 0
[6,5,4,2,3,1] => [1,1,1,1,1,1,0,0,0,0,0,0] => [(1,12),(2,11),(3,10),(4,9),(5,8),(6,7)] => [(1,7),(2,8),(3,9),(4,10),(5,11),(6,12)] => 0
[6,5,4,3,1,2] => [1,1,1,1,1,1,0,0,0,0,0,0] => [(1,12),(2,11),(3,10),(4,9),(5,8),(6,7)] => [(1,7),(2,8),(3,9),(4,10),(5,11),(6,12)] => 0
[6,5,4,3,2,1] => [1,1,1,1,1,1,0,0,0,0,0,0] => [(1,12),(2,11),(3,10),(4,9),(5,8),(6,7)] => [(1,7),(2,8),(3,9),(4,10),(5,11),(6,12)] => 0
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Generating function
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Sequences for the coefficients of a few of the
first generating functions, in the case at hand:
1,0,1 3,2,0,1 14,6,3,0,1 77,29,9,4,0,1 497,160,45,12,5,0,1
$F_{1} = q$
$F_{2} = 1 + q^{2}$
$F_{3} = 3 + 2\ q + q^{3}$
$F_{4} = 14 + 6\ q + 3\ q^{2} + q^{4}$
$F_{5} = 77 + 29\ q + 9\ q^{2} + 4\ q^{3} + q^{5}$
$F_{6} = 497 + 160\ q + 45\ q^{2} + 12\ q^{3} + 5\ q^{4} + q^{6}$
Description
The number of short pairs.
A short pair is a matching pair of the form $(i,i+1)$.
A short pair is a matching pair of the form $(i,i+1)$.
Map
Kasraoui-Zeng
Description
The Kasraoui-Zeng involution for perfect matchings.
This yields the perfect matching with the number of nestings and crossings exchanged.
This yields the perfect matching with the number of nestings and crossings exchanged.
Map
to tunnel matching
Description
Sends a Dyck path of semilength n to the noncrossing perfect matching given by matching an up-step with the corresponding down-step.
This is, for a Dyck path $D$ of semilength $n$, the perfect matching of $\{1,\dots,2n\}$ with $i < j$ being matched if $D_i$ is an up-step and $D_j$ is the down-step connected to $D_i$ by a tunnel.
This is, for a Dyck path $D$ of semilength $n$, the perfect matching of $\{1,\dots,2n\}$ with $i < j$ being matched if $D_i$ is an up-step and $D_j$ is the down-step connected to $D_i$ by a tunnel.
Map
left-to-right-maxima to Dyck path
Description
The left-to-right maxima of a permutation as a Dyck path.
Let $(c_1, \dots, c_k)$ be the rise composition Mp00102rise composition of the path. Then the corresponding left-to-right maxima are $c_1, c_1+c_2, \dots, c_1+\dots+c_k$.
Restricted to 321-avoiding permutations, this is the inverse of Mp00119to 321-avoiding permutation (Krattenthaler), restricted to 312-avoiding permutations, this is the inverse of Mp00031to 312-avoiding permutation.
Let $(c_1, \dots, c_k)$ be the rise composition Mp00102rise composition of the path. Then the corresponding left-to-right maxima are $c_1, c_1+c_2, \dots, c_1+\dots+c_k$.
Restricted to 321-avoiding permutations, this is the inverse of Mp00119to 321-avoiding permutation (Krattenthaler), restricted to 312-avoiding permutations, this is the inverse of Mp00031to 312-avoiding permutation.
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