- FindStat

Identifier

Mp00075: Semistandard tableaux —reading word permutation⟶ Permutations
Mp00088: Permutations —Kreweras complement⟶ Permutations
Mp00209: Permutations —pattern poset⟶ Posets
St000068: Posets ⟶ ℤ

Values

[[1,2]] => [1,2] => [2,1] => ([(0,1)],2) => 1

[[2,2]] => [1,2] => [2,1] => ([(0,1)],2) => 1

[[1],[2]] => [2,1] => [1,2] => ([(0,1)],2) => 1

[[1,3]] => [1,2] => [2,1] => ([(0,1)],2) => 1

[[2,3]] => [1,2] => [2,1] => ([(0,1)],2) => 1

[[3,3]] => [1,2] => [2,1] => ([(0,1)],2) => 1

[[1],[3]] => [2,1] => [1,2] => ([(0,1)],2) => 1

[[2],[3]] => [2,1] => [1,2] => ([(0,1)],2) => 1

[[1,1,2]] => [1,2,3] => [2,3,1] => ([(0,1),(0,2),(1,3),(2,3)],4) => 1

[[1,2,2]] => [1,2,3] => [2,3,1] => ([(0,1),(0,2),(1,3),(2,3)],4) => 1

[[2,2,2]] => [1,2,3] => [2,3,1] => ([(0,1),(0,2),(1,3),(2,3)],4) => 1

[[1,1],[2]] => [3,1,2] => [3,1,2] => ([(0,1),(0,2),(1,3),(2,3)],4) => 1

[[1,2],[2]] => [2,1,3] => [3,2,1] => ([(0,2),(2,1)],3) => 1

[[1,4]] => [1,2] => [2,1] => ([(0,1)],2) => 1

[[2,4]] => [1,2] => [2,1] => ([(0,1)],2) => 1

[[3,4]] => [1,2] => [2,1] => ([(0,1)],2) => 1

[[4,4]] => [1,2] => [2,1] => ([(0,1)],2) => 1

[[1],[4]] => [2,1] => [1,2] => ([(0,1)],2) => 1

[[2],[4]] => [2,1] => [1,2] => ([(0,1)],2) => 1

[[3],[4]] => [2,1] => [1,2] => ([(0,1)],2) => 1

[[1,1,3]] => [1,2,3] => [2,3,1] => ([(0,1),(0,2),(1,3),(2,3)],4) => 1

[[1,2,3]] => [1,2,3] => [2,3,1] => ([(0,1),(0,2),(1,3),(2,3)],4) => 1

[[1,3,3]] => [1,2,3] => [2,3,1] => ([(0,1),(0,2),(1,3),(2,3)],4) => 1

[[2,2,3]] => [1,2,3] => [2,3,1] => ([(0,1),(0,2),(1,3),(2,3)],4) => 1

[[2,3,3]] => [1,2,3] => [2,3,1] => ([(0,1),(0,2),(1,3),(2,3)],4) => 1

[[3,3,3]] => [1,2,3] => [2,3,1] => ([(0,1),(0,2),(1,3),(2,3)],4) => 1

[[1,1],[3]] => [3,1,2] => [3,1,2] => ([(0,1),(0,2),(1,3),(2,3)],4) => 1

[[1,2],[3]] => [3,1,2] => [3,1,2] => ([(0,1),(0,2),(1,3),(2,3)],4) => 1

[[1,3],[2]] => [2,1,3] => [3,2,1] => ([(0,2),(2,1)],3) => 1

[[1,3],[3]] => [2,1,3] => [3,2,1] => ([(0,2),(2,1)],3) => 1

[[2,2],[3]] => [3,1,2] => [3,1,2] => ([(0,1),(0,2),(1,3),(2,3)],4) => 1

[[2,3],[3]] => [2,1,3] => [3,2,1] => ([(0,2),(2,1)],3) => 1

[[1],[2],[3]] => [3,2,1] => [1,3,2] => ([(0,1),(0,2),(1,3),(2,3)],4) => 1

[[1,1,1,2]] => [1,2,3,4] => [2,3,4,1] => ([(0,2),(0,3),(1,5),(2,4),(3,1),(3,4),(4,5)],6) => 1

[[1,1,2,2]] => [1,2,3,4] => [2,3,4,1] => ([(0,2),(0,3),(1,5),(2,4),(3,1),(3,4),(4,5)],6) => 1

[[1,2,2,2]] => [1,2,3,4] => [2,3,4,1] => ([(0,2),(0,3),(1,5),(2,4),(3,1),(3,4),(4,5)],6) => 1

[[2,2,2,2]] => [1,2,3,4] => [2,3,4,1] => ([(0,2),(0,3),(1,5),(2,4),(3,1),(3,4),(4,5)],6) => 1

[[1,1,1],[2]] => [4,1,2,3] => [3,4,1,2] => ([(0,1),(0,2),(1,4),(1,5),(2,4),(2,5),(4,3),(5,3)],6) => 1

[[1,1,2],[2]] => [3,1,2,4] => [3,4,2,1] => ([(0,2),(0,3),(1,5),(2,4),(3,1),(3,4),(4,5)],6) => 1

[[1,2,2],[2]] => [2,1,3,4] => [3,2,4,1] => ([(0,1),(0,2),(0,3),(1,6),(2,4),(2,6),(3,4),(3,6),(4,5),(6,5)],7) => 1

[[1,1],[2,2]] => [3,4,1,2] => [4,1,2,3] => ([(0,2),(0,3),(1,5),(2,4),(3,1),(3,4),(4,5)],6) => 1

[[1,5]] => [1,2] => [2,1] => ([(0,1)],2) => 1

[[2,5]] => [1,2] => [2,1] => ([(0,1)],2) => 1

[[3,5]] => [1,2] => [2,1] => ([(0,1)],2) => 1

[[4,5]] => [1,2] => [2,1] => ([(0,1)],2) => 1

[[5,5]] => [1,2] => [2,1] => ([(0,1)],2) => 1

[[1],[5]] => [2,1] => [1,2] => ([(0,1)],2) => 1

[[2],[5]] => [2,1] => [1,2] => ([(0,1)],2) => 1

[[3],[5]] => [2,1] => [1,2] => ([(0,1)],2) => 1

[[4],[5]] => [2,1] => [1,2] => ([(0,1)],2) => 1

[[1,1,4]] => [1,2,3] => [2,3,1] => ([(0,1),(0,2),(1,3),(2,3)],4) => 1

[[1,2,4]] => [1,2,3] => [2,3,1] => ([(0,1),(0,2),(1,3),(2,3)],4) => 1

[[1,3,4]] => [1,2,3] => [2,3,1] => ([(0,1),(0,2),(1,3),(2,3)],4) => 1

[[1,4,4]] => [1,2,3] => [2,3,1] => ([(0,1),(0,2),(1,3),(2,3)],4) => 1

[[2,2,4]] => [1,2,3] => [2,3,1] => ([(0,1),(0,2),(1,3),(2,3)],4) => 1

[[2,3,4]] => [1,2,3] => [2,3,1] => ([(0,1),(0,2),(1,3),(2,3)],4) => 1

[[2,4,4]] => [1,2,3] => [2,3,1] => ([(0,1),(0,2),(1,3),(2,3)],4) => 1

[[3,3,4]] => [1,2,3] => [2,3,1] => ([(0,1),(0,2),(1,3),(2,3)],4) => 1

[[3,4,4]] => [1,2,3] => [2,3,1] => ([(0,1),(0,2),(1,3),(2,3)],4) => 1

[[4,4,4]] => [1,2,3] => [2,3,1] => ([(0,1),(0,2),(1,3),(2,3)],4) => 1

[[1,1],[4]] => [3,1,2] => [3,1,2] => ([(0,1),(0,2),(1,3),(2,3)],4) => 1

[[1,2],[4]] => [3,1,2] => [3,1,2] => ([(0,1),(0,2),(1,3),(2,3)],4) => 1

[[1,4],[2]] => [2,1,3] => [3,2,1] => ([(0,2),(2,1)],3) => 1

[[1,3],[4]] => [3,1,2] => [3,1,2] => ([(0,1),(0,2),(1,3),(2,3)],4) => 1

[[1,4],[3]] => [2,1,3] => [3,2,1] => ([(0,2),(2,1)],3) => 1

[[1,4],[4]] => [2,1,3] => [3,2,1] => ([(0,2),(2,1)],3) => 1

[[2,2],[4]] => [3,1,2] => [3,1,2] => ([(0,1),(0,2),(1,3),(2,3)],4) => 1

[[2,3],[4]] => [3,1,2] => [3,1,2] => ([(0,1),(0,2),(1,3),(2,3)],4) => 1

[[2,4],[3]] => [2,1,3] => [3,2,1] => ([(0,2),(2,1)],3) => 1

[[2,4],[4]] => [2,1,3] => [3,2,1] => ([(0,2),(2,1)],3) => 1

[[3,3],[4]] => [3,1,2] => [3,1,2] => ([(0,1),(0,2),(1,3),(2,3)],4) => 1

[[3,4],[4]] => [2,1,3] => [3,2,1] => ([(0,2),(2,1)],3) => 1

[[1],[2],[4]] => [3,2,1] => [1,3,2] => ([(0,1),(0,2),(1,3),(2,3)],4) => 1

[[1],[3],[4]] => [3,2,1] => [1,3,2] => ([(0,1),(0,2),(1,3),(2,3)],4) => 1

[[2],[3],[4]] => [3,2,1] => [1,3,2] => ([(0,1),(0,2),(1,3),(2,3)],4) => 1

[[1,1,1,3]] => [1,2,3,4] => [2,3,4,1] => ([(0,2),(0,3),(1,5),(2,4),(3,1),(3,4),(4,5)],6) => 1

[[1,1,2,3]] => [1,2,3,4] => [2,3,4,1] => ([(0,2),(0,3),(1,5),(2,4),(3,1),(3,4),(4,5)],6) => 1

[[1,1,3,3]] => [1,2,3,4] => [2,3,4,1] => ([(0,2),(0,3),(1,5),(2,4),(3,1),(3,4),(4,5)],6) => 1

[[1,2,2,3]] => [1,2,3,4] => [2,3,4,1] => ([(0,2),(0,3),(1,5),(2,4),(3,1),(3,4),(4,5)],6) => 1

[[1,2,3,3]] => [1,2,3,4] => [2,3,4,1] => ([(0,2),(0,3),(1,5),(2,4),(3,1),(3,4),(4,5)],6) => 1

[[1,3,3,3]] => [1,2,3,4] => [2,3,4,1] => ([(0,2),(0,3),(1,5),(2,4),(3,1),(3,4),(4,5)],6) => 1

[[2,2,2,3]] => [1,2,3,4] => [2,3,4,1] => ([(0,2),(0,3),(1,5),(2,4),(3,1),(3,4),(4,5)],6) => 1

[[2,2,3,3]] => [1,2,3,4] => [2,3,4,1] => ([(0,2),(0,3),(1,5),(2,4),(3,1),(3,4),(4,5)],6) => 1

[[2,3,3,3]] => [1,2,3,4] => [2,3,4,1] => ([(0,2),(0,3),(1,5),(2,4),(3,1),(3,4),(4,5)],6) => 1

[[3,3,3,3]] => [1,2,3,4] => [2,3,4,1] => ([(0,2),(0,3),(1,5),(2,4),(3,1),(3,4),(4,5)],6) => 1

[[1,1,1],[3]] => [4,1,2,3] => [3,4,1,2] => ([(0,1),(0,2),(1,4),(1,5),(2,4),(2,5),(4,3),(5,3)],6) => 1

[[1,1,2],[3]] => [4,1,2,3] => [3,4,1,2] => ([(0,1),(0,2),(1,4),(1,5),(2,4),(2,5),(4,3),(5,3)],6) => 1

[[1,1,3],[2]] => [3,1,2,4] => [3,4,2,1] => ([(0,2),(0,3),(1,5),(2,4),(3,1),(3,4),(4,5)],6) => 1

[[1,1,3],[3]] => [3,1,2,4] => [3,4,2,1] => ([(0,2),(0,3),(1,5),(2,4),(3,1),(3,4),(4,5)],6) => 1

[[1,2,2],[3]] => [4,1,2,3] => [3,4,1,2] => ([(0,1),(0,2),(1,4),(1,5),(2,4),(2,5),(4,3),(5,3)],6) => 1

[[1,2,3],[2]] => [2,1,3,4] => [3,2,4,1] => ([(0,1),(0,2),(0,3),(1,6),(2,4),(2,6),(3,4),(3,6),(4,5),(6,5)],7) => 1

[[1,2,3],[3]] => [3,1,2,4] => [3,4,2,1] => ([(0,2),(0,3),(1,5),(2,4),(3,1),(3,4),(4,5)],6) => 1

[[1,3,3],[2]] => [2,1,3,4] => [3,2,4,1] => ([(0,1),(0,2),(0,3),(1,6),(2,4),(2,6),(3,4),(3,6),(4,5),(6,5)],7) => 1

[[1,3,3],[3]] => [2,1,3,4] => [3,2,4,1] => ([(0,1),(0,2),(0,3),(1,6),(2,4),(2,6),(3,4),(3,6),(4,5),(6,5)],7) => 1

[[2,2,2],[3]] => [4,1,2,3] => [3,4,1,2] => ([(0,1),(0,2),(1,4),(1,5),(2,4),(2,5),(4,3),(5,3)],6) => 1

[[2,2,3],[3]] => [3,1,2,4] => [3,4,2,1] => ([(0,2),(0,3),(1,5),(2,4),(3,1),(3,4),(4,5)],6) => 1

[[2,3,3],[3]] => [2,1,3,4] => [3,2,4,1] => ([(0,1),(0,2),(0,3),(1,6),(2,4),(2,6),(3,4),(3,6),(4,5),(6,5)],7) => 1

[[1,1],[2,3]] => [3,4,1,2] => [4,1,2,3] => ([(0,2),(0,3),(1,5),(2,4),(3,1),(3,4),(4,5)],6) => 1

[[1,1],[3,3]] => [3,4,1,2] => [4,1,2,3] => ([(0,2),(0,3),(1,5),(2,4),(3,1),(3,4),(4,5)],6) => 1

[[1,2],[2,3]] => [2,4,1,3] => [4,2,1,3] => ([(0,1),(0,2),(0,3),(1,6),(2,4),(2,6),(3,4),(3,6),(4,5),(6,5)],7) => 1

[[1,2],[3,3]] => [3,4,1,2] => [4,1,2,3] => ([(0,2),(0,3),(1,5),(2,4),(3,1),(3,4),(4,5)],6) => 1

>>> Load all 1205 entries. <<<

[[2,2],[3,3]] => [3,4,1,2] => [4,1,2,3] => ([(0,2),(0,3),(1,5),(2,4),(3,1),(3,4),(4,5)],6) => 1

[[1,1],[2],[3]] => [4,3,1,2] => [4,1,3,2] => ([(0,1),(0,2),(0,3),(1,6),(2,4),(2,6),(3,4),(3,6),(4,5),(6,5)],7) => 1

[[1,2],[2],[3]] => [4,2,1,3] => [4,3,1,2] => ([(0,2),(0,3),(1,5),(2,4),(3,1),(3,4),(4,5)],6) => 1

[[1,3],[2],[3]] => [3,2,1,4] => [4,3,2,1] => ([(0,3),(2,1),(3,2)],4) => 1

[[1,1,1,1,2]] => [1,2,3,4,5] => [2,3,4,5,1] => ([(0,2),(0,4),(1,6),(2,5),(3,1),(3,7),(4,3),(4,5),(5,7),(7,6)],8) => 1

[[1,1,1,2,2]] => [1,2,3,4,5] => [2,3,4,5,1] => ([(0,2),(0,4),(1,6),(2,5),(3,1),(3,7),(4,3),(4,5),(5,7),(7,6)],8) => 1

[[1,1,2,2,2]] => [1,2,3,4,5] => [2,3,4,5,1] => ([(0,2),(0,4),(1,6),(2,5),(3,1),(3,7),(4,3),(4,5),(5,7),(7,6)],8) => 1

[[1,2,2,2,2]] => [1,2,3,4,5] => [2,3,4,5,1] => ([(0,2),(0,4),(1,6),(2,5),(3,1),(3,7),(4,3),(4,5),(5,7),(7,6)],8) => 1

[[2,2,2,2,2]] => [1,2,3,4,5] => [2,3,4,5,1] => ([(0,2),(0,4),(1,6),(2,5),(3,1),(3,7),(4,3),(4,5),(5,7),(7,6)],8) => 1

[[1,1,1,2],[2]] => [4,1,2,3,5] => [3,4,5,2,1] => ([(0,3),(0,4),(1,7),(2,6),(3,2),(3,5),(4,1),(4,5),(5,6),(5,7),(6,8),(7,8)],9) => 1

[[1,6]] => [1,2] => [2,1] => ([(0,1)],2) => 1

[[2,6]] => [1,2] => [2,1] => ([(0,1)],2) => 1

[[3,6]] => [1,2] => [2,1] => ([(0,1)],2) => 1

[[4,6]] => [1,2] => [2,1] => ([(0,1)],2) => 1

[[5,6]] => [1,2] => [2,1] => ([(0,1)],2) => 1

[[6,6]] => [1,2] => [2,1] => ([(0,1)],2) => 1

[[1],[6]] => [2,1] => [1,2] => ([(0,1)],2) => 1

[[2],[6]] => [2,1] => [1,2] => ([(0,1)],2) => 1

[[3],[6]] => [2,1] => [1,2] => ([(0,1)],2) => 1

[[4],[6]] => [2,1] => [1,2] => ([(0,1)],2) => 1

[[5],[6]] => [2,1] => [1,2] => ([(0,1)],2) => 1

[[1,1,5]] => [1,2,3] => [2,3,1] => ([(0,1),(0,2),(1,3),(2,3)],4) => 1

[[1,2,5]] => [1,2,3] => [2,3,1] => ([(0,1),(0,2),(1,3),(2,3)],4) => 1

[[1,3,5]] => [1,2,3] => [2,3,1] => ([(0,1),(0,2),(1,3),(2,3)],4) => 1

[[1,4,5]] => [1,2,3] => [2,3,1] => ([(0,1),(0,2),(1,3),(2,3)],4) => 1

[[1,5,5]] => [1,2,3] => [2,3,1] => ([(0,1),(0,2),(1,3),(2,3)],4) => 1

[[2,2,5]] => [1,2,3] => [2,3,1] => ([(0,1),(0,2),(1,3),(2,3)],4) => 1

[[2,3,5]] => [1,2,3] => [2,3,1] => ([(0,1),(0,2),(1,3),(2,3)],4) => 1

[[2,4,5]] => [1,2,3] => [2,3,1] => ([(0,1),(0,2),(1,3),(2,3)],4) => 1

[[2,5,5]] => [1,2,3] => [2,3,1] => ([(0,1),(0,2),(1,3),(2,3)],4) => 1

[[3,3,5]] => [1,2,3] => [2,3,1] => ([(0,1),(0,2),(1,3),(2,3)],4) => 1

[[3,4,5]] => [1,2,3] => [2,3,1] => ([(0,1),(0,2),(1,3),(2,3)],4) => 1

[[3,5,5]] => [1,2,3] => [2,3,1] => ([(0,1),(0,2),(1,3),(2,3)],4) => 1

[[4,4,5]] => [1,2,3] => [2,3,1] => ([(0,1),(0,2),(1,3),(2,3)],4) => 1

[[4,5,5]] => [1,2,3] => [2,3,1] => ([(0,1),(0,2),(1,3),(2,3)],4) => 1

[[5,5,5]] => [1,2,3] => [2,3,1] => ([(0,1),(0,2),(1,3),(2,3)],4) => 1

[[1,1],[5]] => [3,1,2] => [3,1,2] => ([(0,1),(0,2),(1,3),(2,3)],4) => 1

[[1,2],[5]] => [3,1,2] => [3,1,2] => ([(0,1),(0,2),(1,3),(2,3)],4) => 1

[[1,5],[2]] => [2,1,3] => [3,2,1] => ([(0,2),(2,1)],3) => 1

[[1,3],[5]] => [3,1,2] => [3,1,2] => ([(0,1),(0,2),(1,3),(2,3)],4) => 1

[[1,5],[3]] => [2,1,3] => [3,2,1] => ([(0,2),(2,1)],3) => 1

[[1,4],[5]] => [3,1,2] => [3,1,2] => ([(0,1),(0,2),(1,3),(2,3)],4) => 1

[[1,5],[4]] => [2,1,3] => [3,2,1] => ([(0,2),(2,1)],3) => 1

[[1,5],[5]] => [2,1,3] => [3,2,1] => ([(0,2),(2,1)],3) => 1

[[2,2],[5]] => [3,1,2] => [3,1,2] => ([(0,1),(0,2),(1,3),(2,3)],4) => 1

[[2,3],[5]] => [3,1,2] => [3,1,2] => ([(0,1),(0,2),(1,3),(2,3)],4) => 1

[[2,5],[3]] => [2,1,3] => [3,2,1] => ([(0,2),(2,1)],3) => 1

[[2,4],[5]] => [3,1,2] => [3,1,2] => ([(0,1),(0,2),(1,3),(2,3)],4) => 1

[[2,5],[4]] => [2,1,3] => [3,2,1] => ([(0,2),(2,1)],3) => 1

[[2,5],[5]] => [2,1,3] => [3,2,1] => ([(0,2),(2,1)],3) => 1

[[3,3],[5]] => [3,1,2] => [3,1,2] => ([(0,1),(0,2),(1,3),(2,3)],4) => 1

[[3,4],[5]] => [3,1,2] => [3,1,2] => ([(0,1),(0,2),(1,3),(2,3)],4) => 1

[[3,5],[4]] => [2,1,3] => [3,2,1] => ([(0,2),(2,1)],3) => 1

[[3,5],[5]] => [2,1,3] => [3,2,1] => ([(0,2),(2,1)],3) => 1

[[4,4],[5]] => [3,1,2] => [3,1,2] => ([(0,1),(0,2),(1,3),(2,3)],4) => 1

[[4,5],[5]] => [2,1,3] => [3,2,1] => ([(0,2),(2,1)],3) => 1

[[1],[2],[5]] => [3,2,1] => [1,3,2] => ([(0,1),(0,2),(1,3),(2,3)],4) => 1

[[1],[3],[5]] => [3,2,1] => [1,3,2] => ([(0,1),(0,2),(1,3),(2,3)],4) => 1

[[1],[4],[5]] => [3,2,1] => [1,3,2] => ([(0,1),(0,2),(1,3),(2,3)],4) => 1

[[2],[3],[5]] => [3,2,1] => [1,3,2] => ([(0,1),(0,2),(1,3),(2,3)],4) => 1

[[2],[4],[5]] => [3,2,1] => [1,3,2] => ([(0,1),(0,2),(1,3),(2,3)],4) => 1

[[3],[4],[5]] => [3,2,1] => [1,3,2] => ([(0,1),(0,2),(1,3),(2,3)],4) => 1

[[1,1,1,4]] => [1,2,3,4] => [2,3,4,1] => ([(0,2),(0,3),(1,5),(2,4),(3,1),(3,4),(4,5)],6) => 1

[[1,1,2,4]] => [1,2,3,4] => [2,3,4,1] => ([(0,2),(0,3),(1,5),(2,4),(3,1),(3,4),(4,5)],6) => 1

[[1,1,3,4]] => [1,2,3,4] => [2,3,4,1] => ([(0,2),(0,3),(1,5),(2,4),(3,1),(3,4),(4,5)],6) => 1

[[1,1,4,4]] => [1,2,3,4] => [2,3,4,1] => ([(0,2),(0,3),(1,5),(2,4),(3,1),(3,4),(4,5)],6) => 1

[[1,2,2,4]] => [1,2,3,4] => [2,3,4,1] => ([(0,2),(0,3),(1,5),(2,4),(3,1),(3,4),(4,5)],6) => 1

[[1,2,3,4]] => [1,2,3,4] => [2,3,4,1] => ([(0,2),(0,3),(1,5),(2,4),(3,1),(3,4),(4,5)],6) => 1

[[1,2,4,4]] => [1,2,3,4] => [2,3,4,1] => ([(0,2),(0,3),(1,5),(2,4),(3,1),(3,4),(4,5)],6) => 1

[[1,3,3,4]] => [1,2,3,4] => [2,3,4,1] => ([(0,2),(0,3),(1,5),(2,4),(3,1),(3,4),(4,5)],6) => 1

[[1,3,4,4]] => [1,2,3,4] => [2,3,4,1] => ([(0,2),(0,3),(1,5),(2,4),(3,1),(3,4),(4,5)],6) => 1

[[1,4,4,4]] => [1,2,3,4] => [2,3,4,1] => ([(0,2),(0,3),(1,5),(2,4),(3,1),(3,4),(4,5)],6) => 1

[[2,2,2,4]] => [1,2,3,4] => [2,3,4,1] => ([(0,2),(0,3),(1,5),(2,4),(3,1),(3,4),(4,5)],6) => 1

[[2,2,3,4]] => [1,2,3,4] => [2,3,4,1] => ([(0,2),(0,3),(1,5),(2,4),(3,1),(3,4),(4,5)],6) => 1

[[2,2,4,4]] => [1,2,3,4] => [2,3,4,1] => ([(0,2),(0,3),(1,5),(2,4),(3,1),(3,4),(4,5)],6) => 1

[[2,3,3,4]] => [1,2,3,4] => [2,3,4,1] => ([(0,2),(0,3),(1,5),(2,4),(3,1),(3,4),(4,5)],6) => 1

[[2,3,4,4]] => [1,2,3,4] => [2,3,4,1] => ([(0,2),(0,3),(1,5),(2,4),(3,1),(3,4),(4,5)],6) => 1

[[2,4,4,4]] => [1,2,3,4] => [2,3,4,1] => ([(0,2),(0,3),(1,5),(2,4),(3,1),(3,4),(4,5)],6) => 1

[[3,3,3,4]] => [1,2,3,4] => [2,3,4,1] => ([(0,2),(0,3),(1,5),(2,4),(3,1),(3,4),(4,5)],6) => 1

[[3,3,4,4]] => [1,2,3,4] => [2,3,4,1] => ([(0,2),(0,3),(1,5),(2,4),(3,1),(3,4),(4,5)],6) => 1

[[3,4,4,4]] => [1,2,3,4] => [2,3,4,1] => ([(0,2),(0,3),(1,5),(2,4),(3,1),(3,4),(4,5)],6) => 1

[[4,4,4,4]] => [1,2,3,4] => [2,3,4,1] => ([(0,2),(0,3),(1,5),(2,4),(3,1),(3,4),(4,5)],6) => 1

[[1,1,1],[4]] => [4,1,2,3] => [3,4,1,2] => ([(0,1),(0,2),(1,4),(1,5),(2,4),(2,5),(4,3),(5,3)],6) => 1

[[1,1,2],[4]] => [4,1,2,3] => [3,4,1,2] => ([(0,1),(0,2),(1,4),(1,5),(2,4),(2,5),(4,3),(5,3)],6) => 1

[[1,1,4],[2]] => [3,1,2,4] => [3,4,2,1] => ([(0,2),(0,3),(1,5),(2,4),(3,1),(3,4),(4,5)],6) => 1

[[1,1,3],[4]] => [4,1,2,3] => [3,4,1,2] => ([(0,1),(0,2),(1,4),(1,5),(2,4),(2,5),(4,3),(5,3)],6) => 1

[[1,1,4],[3]] => [3,1,2,4] => [3,4,2,1] => ([(0,2),(0,3),(1,5),(2,4),(3,1),(3,4),(4,5)],6) => 1

[[1,1,4],[4]] => [3,1,2,4] => [3,4,2,1] => ([(0,2),(0,3),(1,5),(2,4),(3,1),(3,4),(4,5)],6) => 1

[[1,2,2],[4]] => [4,1,2,3] => [3,4,1,2] => ([(0,1),(0,2),(1,4),(1,5),(2,4),(2,5),(4,3),(5,3)],6) => 1

[[1,2,4],[2]] => [2,1,3,4] => [3,2,4,1] => ([(0,1),(0,2),(0,3),(1,6),(2,4),(2,6),(3,4),(3,6),(4,5),(6,5)],7) => 1

[[1,2,3],[4]] => [4,1,2,3] => [3,4,1,2] => ([(0,1),(0,2),(1,4),(1,5),(2,4),(2,5),(4,3),(5,3)],6) => 1

[[1,2,4],[3]] => [3,1,2,4] => [3,4,2,1] => ([(0,2),(0,3),(1,5),(2,4),(3,1),(3,4),(4,5)],6) => 1

[[1,3,4],[2]] => [2,1,3,4] => [3,2,4,1] => ([(0,1),(0,2),(0,3),(1,6),(2,4),(2,6),(3,4),(3,6),(4,5),(6,5)],7) => 1

[[1,2,4],[4]] => [3,1,2,4] => [3,4,2,1] => ([(0,2),(0,3),(1,5),(2,4),(3,1),(3,4),(4,5)],6) => 1

[[1,4,4],[2]] => [2,1,3,4] => [3,2,4,1] => ([(0,1),(0,2),(0,3),(1,6),(2,4),(2,6),(3,4),(3,6),(4,5),(6,5)],7) => 1

[[1,3,3],[4]] => [4,1,2,3] => [3,4,1,2] => ([(0,1),(0,2),(1,4),(1,5),(2,4),(2,5),(4,3),(5,3)],6) => 1

[[1,3,4],[3]] => [2,1,3,4] => [3,2,4,1] => ([(0,1),(0,2),(0,3),(1,6),(2,4),(2,6),(3,4),(3,6),(4,5),(6,5)],7) => 1

[[1,3,4],[4]] => [3,1,2,4] => [3,4,2,1] => ([(0,2),(0,3),(1,5),(2,4),(3,1),(3,4),(4,5)],6) => 1

[[1,4,4],[3]] => [2,1,3,4] => [3,2,4,1] => ([(0,1),(0,2),(0,3),(1,6),(2,4),(2,6),(3,4),(3,6),(4,5),(6,5)],7) => 1

[[1,4,4],[4]] => [2,1,3,4] => [3,2,4,1] => ([(0,1),(0,2),(0,3),(1,6),(2,4),(2,6),(3,4),(3,6),(4,5),(6,5)],7) => 1

[[2,2,2],[4]] => [4,1,2,3] => [3,4,1,2] => ([(0,1),(0,2),(1,4),(1,5),(2,4),(2,5),(4,3),(5,3)],6) => 1

[[2,2,3],[4]] => [4,1,2,3] => [3,4,1,2] => ([(0,1),(0,2),(1,4),(1,5),(2,4),(2,5),(4,3),(5,3)],6) => 1

[[2,2,4],[3]] => [3,1,2,4] => [3,4,2,1] => ([(0,2),(0,3),(1,5),(2,4),(3,1),(3,4),(4,5)],6) => 1

[[2,2,4],[4]] => [3,1,2,4] => [3,4,2,1] => ([(0,2),(0,3),(1,5),(2,4),(3,1),(3,4),(4,5)],6) => 1

[[2,3,3],[4]] => [4,1,2,3] => [3,4,1,2] => ([(0,1),(0,2),(1,4),(1,5),(2,4),(2,5),(4,3),(5,3)],6) => 1

[[2,3,4],[3]] => [2,1,3,4] => [3,2,4,1] => ([(0,1),(0,2),(0,3),(1,6),(2,4),(2,6),(3,4),(3,6),(4,5),(6,5)],7) => 1

[[2,3,4],[4]] => [3,1,2,4] => [3,4,2,1] => ([(0,2),(0,3),(1,5),(2,4),(3,1),(3,4),(4,5)],6) => 1

[[2,4,4],[3]] => [2,1,3,4] => [3,2,4,1] => ([(0,1),(0,2),(0,3),(1,6),(2,4),(2,6),(3,4),(3,6),(4,5),(6,5)],7) => 1

[[2,4,4],[4]] => [2,1,3,4] => [3,2,4,1] => ([(0,1),(0,2),(0,3),(1,6),(2,4),(2,6),(3,4),(3,6),(4,5),(6,5)],7) => 1

[[3,3,3],[4]] => [4,1,2,3] => [3,4,1,2] => ([(0,1),(0,2),(1,4),(1,5),(2,4),(2,5),(4,3),(5,3)],6) => 1

[[3,3,4],[4]] => [3,1,2,4] => [3,4,2,1] => ([(0,2),(0,3),(1,5),(2,4),(3,1),(3,4),(4,5)],6) => 1

[[3,4,4],[4]] => [2,1,3,4] => [3,2,4,1] => ([(0,1),(0,2),(0,3),(1,6),(2,4),(2,6),(3,4),(3,6),(4,5),(6,5)],7) => 1

[[1,1],[2,4]] => [3,4,1,2] => [4,1,2,3] => ([(0,2),(0,3),(1,5),(2,4),(3,1),(3,4),(4,5)],6) => 1

[[1,1],[3,4]] => [3,4,1,2] => [4,1,2,3] => ([(0,2),(0,3),(1,5),(2,4),(3,1),(3,4),(4,5)],6) => 1

[[1,1],[4,4]] => [3,4,1,2] => [4,1,2,3] => ([(0,2),(0,3),(1,5),(2,4),(3,1),(3,4),(4,5)],6) => 1

[[1,2],[2,4]] => [2,4,1,3] => [4,2,1,3] => ([(0,1),(0,2),(0,3),(1,6),(2,4),(2,6),(3,4),(3,6),(4,5),(6,5)],7) => 1

[[1,2],[3,4]] => [3,4,1,2] => [4,1,2,3] => ([(0,2),(0,3),(1,5),(2,4),(3,1),(3,4),(4,5)],6) => 1

[[1,3],[2,4]] => [2,4,1,3] => [4,2,1,3] => ([(0,1),(0,2),(0,3),(1,6),(2,4),(2,6),(3,4),(3,6),(4,5),(6,5)],7) => 1

[[1,2],[4,4]] => [3,4,1,2] => [4,1,2,3] => ([(0,2),(0,3),(1,5),(2,4),(3,1),(3,4),(4,5)],6) => 1

[[1,3],[3,4]] => [2,4,1,3] => [4,2,1,3] => ([(0,1),(0,2),(0,3),(1,6),(2,4),(2,6),(3,4),(3,6),(4,5),(6,5)],7) => 1

[[1,3],[4,4]] => [3,4,1,2] => [4,1,2,3] => ([(0,2),(0,3),(1,5),(2,4),(3,1),(3,4),(4,5)],6) => 1

[[2,2],[3,4]] => [3,4,1,2] => [4,1,2,3] => ([(0,2),(0,3),(1,5),(2,4),(3,1),(3,4),(4,5)],6) => 1

[[2,2],[4,4]] => [3,4,1,2] => [4,1,2,3] => ([(0,2),(0,3),(1,5),(2,4),(3,1),(3,4),(4,5)],6) => 1

[[2,3],[3,4]] => [2,4,1,3] => [4,2,1,3] => ([(0,1),(0,2),(0,3),(1,6),(2,4),(2,6),(3,4),(3,6),(4,5),(6,5)],7) => 1

[[2,3],[4,4]] => [3,4,1,2] => [4,1,2,3] => ([(0,2),(0,3),(1,5),(2,4),(3,1),(3,4),(4,5)],6) => 1

[[3,3],[4,4]] => [3,4,1,2] => [4,1,2,3] => ([(0,2),(0,3),(1,5),(2,4),(3,1),(3,4),(4,5)],6) => 1

[[1,1],[2],[4]] => [4,3,1,2] => [4,1,3,2] => ([(0,1),(0,2),(0,3),(1,6),(2,4),(2,6),(3,4),(3,6),(4,5),(6,5)],7) => 1

[[1,1],[3],[4]] => [4,3,1,2] => [4,1,3,2] => ([(0,1),(0,2),(0,3),(1,6),(2,4),(2,6),(3,4),(3,6),(4,5),(6,5)],7) => 1

[[1,2],[2],[4]] => [4,2,1,3] => [4,3,1,2] => ([(0,2),(0,3),(1,5),(2,4),(3,1),(3,4),(4,5)],6) => 1

[[1,2],[3],[4]] => [4,3,1,2] => [4,1,3,2] => ([(0,1),(0,2),(0,3),(1,6),(2,4),(2,6),(3,4),(3,6),(4,5),(6,5)],7) => 1

[[1,3],[2],[4]] => [4,2,1,3] => [4,3,1,2] => ([(0,2),(0,3),(1,5),(2,4),(3,1),(3,4),(4,5)],6) => 1

[[1,4],[2],[3]] => [3,2,1,4] => [4,3,2,1] => ([(0,3),(2,1),(3,2)],4) => 1

[[1,4],[2],[4]] => [3,2,1,4] => [4,3,2,1] => ([(0,3),(2,1),(3,2)],4) => 1

[[1,3],[3],[4]] => [4,2,1,3] => [4,3,1,2] => ([(0,2),(0,3),(1,5),(2,4),(3,1),(3,4),(4,5)],6) => 1

[[1,4],[3],[4]] => [3,2,1,4] => [4,3,2,1] => ([(0,3),(2,1),(3,2)],4) => 1

[[2,2],[3],[4]] => [4,3,1,2] => [4,1,3,2] => ([(0,1),(0,2),(0,3),(1,6),(2,4),(2,6),(3,4),(3,6),(4,5),(6,5)],7) => 1

[[2,3],[3],[4]] => [4,2,1,3] => [4,3,1,2] => ([(0,2),(0,3),(1,5),(2,4),(3,1),(3,4),(4,5)],6) => 1

[[2,4],[3],[4]] => [3,2,1,4] => [4,3,2,1] => ([(0,3),(2,1),(3,2)],4) => 1

[[1],[2],[3],[4]] => [4,3,2,1] => [1,4,3,2] => ([(0,2),(0,3),(1,5),(2,4),(3,1),(3,4),(4,5)],6) => 1

[[1,1,1,1,3]] => [1,2,3,4,5] => [2,3,4,5,1] => ([(0,2),(0,4),(1,6),(2,5),(3,1),(3,7),(4,3),(4,5),(5,7),(7,6)],8) => 1

[[1,1,1,2,3]] => [1,2,3,4,5] => [2,3,4,5,1] => ([(0,2),(0,4),(1,6),(2,5),(3,1),(3,7),(4,3),(4,5),(5,7),(7,6)],8) => 1

[[1,1,1,3,3]] => [1,2,3,4,5] => [2,3,4,5,1] => ([(0,2),(0,4),(1,6),(2,5),(3,1),(3,7),(4,3),(4,5),(5,7),(7,6)],8) => 1

[[1,1,2,2,3]] => [1,2,3,4,5] => [2,3,4,5,1] => ([(0,2),(0,4),(1,6),(2,5),(3,1),(3,7),(4,3),(4,5),(5,7),(7,6)],8) => 1

[[1,1,2,3,3]] => [1,2,3,4,5] => [2,3,4,5,1] => ([(0,2),(0,4),(1,6),(2,5),(3,1),(3,7),(4,3),(4,5),(5,7),(7,6)],8) => 1

[[1,1,3,3,3]] => [1,2,3,4,5] => [2,3,4,5,1] => ([(0,2),(0,4),(1,6),(2,5),(3,1),(3,7),(4,3),(4,5),(5,7),(7,6)],8) => 1

[[1,2,2,2,3]] => [1,2,3,4,5] => [2,3,4,5,1] => ([(0,2),(0,4),(1,6),(2,5),(3,1),(3,7),(4,3),(4,5),(5,7),(7,6)],8) => 1

[[1,2,2,3,3]] => [1,2,3,4,5] => [2,3,4,5,1] => ([(0,2),(0,4),(1,6),(2,5),(3,1),(3,7),(4,3),(4,5),(5,7),(7,6)],8) => 1

[[1,2,3,3,3]] => [1,2,3,4,5] => [2,3,4,5,1] => ([(0,2),(0,4),(1,6),(2,5),(3,1),(3,7),(4,3),(4,5),(5,7),(7,6)],8) => 1

[[1,3,3,3,3]] => [1,2,3,4,5] => [2,3,4,5,1] => ([(0,2),(0,4),(1,6),(2,5),(3,1),(3,7),(4,3),(4,5),(5,7),(7,6)],8) => 1

[[2,2,2,2,3]] => [1,2,3,4,5] => [2,3,4,5,1] => ([(0,2),(0,4),(1,6),(2,5),(3,1),(3,7),(4,3),(4,5),(5,7),(7,6)],8) => 1

[[2,2,2,3,3]] => [1,2,3,4,5] => [2,3,4,5,1] => ([(0,2),(0,4),(1,6),(2,5),(3,1),(3,7),(4,3),(4,5),(5,7),(7,6)],8) => 1

[[2,2,3,3,3]] => [1,2,3,4,5] => [2,3,4,5,1] => ([(0,2),(0,4),(1,6),(2,5),(3,1),(3,7),(4,3),(4,5),(5,7),(7,6)],8) => 1

[[2,3,3,3,3]] => [1,2,3,4,5] => [2,3,4,5,1] => ([(0,2),(0,4),(1,6),(2,5),(3,1),(3,7),(4,3),(4,5),(5,7),(7,6)],8) => 1

[[3,3,3,3,3]] => [1,2,3,4,5] => [2,3,4,5,1] => ([(0,2),(0,4),(1,6),(2,5),(3,1),(3,7),(4,3),(4,5),(5,7),(7,6)],8) => 1

[[1,1,1,3],[2]] => [4,1,2,3,5] => [3,4,5,2,1] => ([(0,3),(0,4),(1,7),(2,6),(3,2),(3,5),(4,1),(4,5),(5,6),(5,7),(6,8),(7,8)],9) => 1

[[1,1,1,3],[3]] => [4,1,2,3,5] => [3,4,5,2,1] => ([(0,3),(0,4),(1,7),(2,6),(3,2),(3,5),(4,1),(4,5),(5,6),(5,7),(6,8),(7,8)],9) => 1

[[1,1,2,3],[3]] => [4,1,2,3,5] => [3,4,5,2,1] => ([(0,3),(0,4),(1,7),(2,6),(3,2),(3,5),(4,1),(4,5),(5,6),(5,7),(6,8),(7,8)],9) => 1

[[1,2,2,3],[3]] => [4,1,2,3,5] => [3,4,5,2,1] => ([(0,3),(0,4),(1,7),(2,6),(3,2),(3,5),(4,1),(4,5),(5,6),(5,7),(6,8),(7,8)],9) => 1

[[2,2,2,3],[3]] => [4,1,2,3,5] => [3,4,5,2,1] => ([(0,3),(0,4),(1,7),(2,6),(3,2),(3,5),(4,1),(4,5),(5,6),(5,7),(6,8),(7,8)],9) => 1

[[1,1,3],[2],[3]] => [4,3,1,2,5] => [4,5,3,2,1] => ([(0,2),(0,4),(1,6),(2,5),(3,1),(3,7),(4,3),(4,5),(5,7),(7,6)],8) => 1

[[1,1,1,1,1,2]] => [1,2,3,4,5,6] => [2,3,4,5,6,1] => ([(0,2),(0,5),(1,7),(2,6),(3,4),(3,9),(4,1),(4,8),(5,3),(5,6),(6,9),(8,7),(9,8)],10) => 1

[[1,1,1,1,2,2]] => [1,2,3,4,5,6] => [2,3,4,5,6,1] => ([(0,2),(0,5),(1,7),(2,6),(3,4),(3,9),(4,1),(4,8),(5,3),(5,6),(6,9),(8,7),(9,8)],10) => 1

[[1,1,1,2,2,2]] => [1,2,3,4,5,6] => [2,3,4,5,6,1] => ([(0,2),(0,5),(1,7),(2,6),(3,4),(3,9),(4,1),(4,8),(5,3),(5,6),(6,9),(8,7),(9,8)],10) => 1

[[1,1,2,2,2,2]] => [1,2,3,4,5,6] => [2,3,4,5,6,1] => ([(0,2),(0,5),(1,7),(2,6),(3,4),(3,9),(4,1),(4,8),(5,3),(5,6),(6,9),(8,7),(9,8)],10) => 1

[[1,2,2,2,2,2]] => [1,2,3,4,5,6] => [2,3,4,5,6,1] => ([(0,2),(0,5),(1,7),(2,6),(3,4),(3,9),(4,1),(4,8),(5,3),(5,6),(6,9),(8,7),(9,8)],10) => 1

[[2,2,2,2,2,2]] => [1,2,3,4,5,6] => [2,3,4,5,6,1] => ([(0,2),(0,5),(1,7),(2,6),(3,4),(3,9),(4,1),(4,8),(5,3),(5,6),(6,9),(8,7),(9,8)],10) => 1

[[1,1,1,1,2],[2]] => [5,1,2,3,4,6] => [3,4,5,6,2,1] => ([(0,4),(0,5),(1,9),(2,3),(2,11),(3,8),(4,1),(4,10),(5,2),(5,10),(7,6),(8,6),(9,7),(10,9),(10,11),(11,7),(11,8)],12) => 1

[[1,7]] => [1,2] => [2,1] => ([(0,1)],2) => 1

[[2,7]] => [1,2] => [2,1] => ([(0,1)],2) => 1

[[3,7]] => [1,2] => [2,1] => ([(0,1)],2) => 1

[[4,7]] => [1,2] => [2,1] => ([(0,1)],2) => 1

[[5,7]] => [1,2] => [2,1] => ([(0,1)],2) => 1

[[6,7]] => [1,2] => [2,1] => ([(0,1)],2) => 1

[[7,7]] => [1,2] => [2,1] => ([(0,1)],2) => 1

[[1],[7]] => [2,1] => [1,2] => ([(0,1)],2) => 1

[[2],[7]] => [2,1] => [1,2] => ([(0,1)],2) => 1

[[3],[7]] => [2,1] => [1,2] => ([(0,1)],2) => 1

[[4],[7]] => [2,1] => [1,2] => ([(0,1)],2) => 1

[[5],[7]] => [2,1] => [1,2] => ([(0,1)],2) => 1

[[6],[7]] => [2,1] => [1,2] => ([(0,1)],2) => 1

[[1,1,6]] => [1,2,3] => [2,3,1] => ([(0,1),(0,2),(1,3),(2,3)],4) => 1

[[1,2,6]] => [1,2,3] => [2,3,1] => ([(0,1),(0,2),(1,3),(2,3)],4) => 1

[[1,3,6]] => [1,2,3] => [2,3,1] => ([(0,1),(0,2),(1,3),(2,3)],4) => 1

[[1,4,6]] => [1,2,3] => [2,3,1] => ([(0,1),(0,2),(1,3),(2,3)],4) => 1

[[1,5,6]] => [1,2,3] => [2,3,1] => ([(0,1),(0,2),(1,3),(2,3)],4) => 1

[[1,6,6]] => [1,2,3] => [2,3,1] => ([(0,1),(0,2),(1,3),(2,3)],4) => 1

[[2,2,6]] => [1,2,3] => [2,3,1] => ([(0,1),(0,2),(1,3),(2,3)],4) => 1

[[2,3,6]] => [1,2,3] => [2,3,1] => ([(0,1),(0,2),(1,3),(2,3)],4) => 1

[[2,4,6]] => [1,2,3] => [2,3,1] => ([(0,1),(0,2),(1,3),(2,3)],4) => 1

[[2,5,6]] => [1,2,3] => [2,3,1] => ([(0,1),(0,2),(1,3),(2,3)],4) => 1

[[2,6,6]] => [1,2,3] => [2,3,1] => ([(0,1),(0,2),(1,3),(2,3)],4) => 1

[[3,3,6]] => [1,2,3] => [2,3,1] => ([(0,1),(0,2),(1,3),(2,3)],4) => 1

[[3,4,6]] => [1,2,3] => [2,3,1] => ([(0,1),(0,2),(1,3),(2,3)],4) => 1

[[3,5,6]] => [1,2,3] => [2,3,1] => ([(0,1),(0,2),(1,3),(2,3)],4) => 1

[[3,6,6]] => [1,2,3] => [2,3,1] => ([(0,1),(0,2),(1,3),(2,3)],4) => 1

[[4,4,6]] => [1,2,3] => [2,3,1] => ([(0,1),(0,2),(1,3),(2,3)],4) => 1

[[4,5,6]] => [1,2,3] => [2,3,1] => ([(0,1),(0,2),(1,3),(2,3)],4) => 1

[[4,6,6]] => [1,2,3] => [2,3,1] => ([(0,1),(0,2),(1,3),(2,3)],4) => 1

[[5,5,6]] => [1,2,3] => [2,3,1] => ([(0,1),(0,2),(1,3),(2,3)],4) => 1

[[5,6,6]] => [1,2,3] => [2,3,1] => ([(0,1),(0,2),(1,3),(2,3)],4) => 1

[[6,6,6]] => [1,2,3] => [2,3,1] => ([(0,1),(0,2),(1,3),(2,3)],4) => 1

[[1,1],[6]] => [3,1,2] => [3,1,2] => ([(0,1),(0,2),(1,3),(2,3)],4) => 1

[[1,2],[6]] => [3,1,2] => [3,1,2] => ([(0,1),(0,2),(1,3),(2,3)],4) => 1

[[1,6],[2]] => [2,1,3] => [3,2,1] => ([(0,2),(2,1)],3) => 1

[[1,3],[6]] => [3,1,2] => [3,1,2] => ([(0,1),(0,2),(1,3),(2,3)],4) => 1

[[1,6],[3]] => [2,1,3] => [3,2,1] => ([(0,2),(2,1)],3) => 1

[[1,4],[6]] => [3,1,2] => [3,1,2] => ([(0,1),(0,2),(1,3),(2,3)],4) => 1

[[1,6],[4]] => [2,1,3] => [3,2,1] => ([(0,2),(2,1)],3) => 1

[[1,5],[6]] => [3,1,2] => [3,1,2] => ([(0,1),(0,2),(1,3),(2,3)],4) => 1

[[1,6],[5]] => [2,1,3] => [3,2,1] => ([(0,2),(2,1)],3) => 1

[[1,6],[6]] => [2,1,3] => [3,2,1] => ([(0,2),(2,1)],3) => 1

[[2,2],[6]] => [3,1,2] => [3,1,2] => ([(0,1),(0,2),(1,3),(2,3)],4) => 1

[[2,3],[6]] => [3,1,2] => [3,1,2] => ([(0,1),(0,2),(1,3),(2,3)],4) => 1

[[2,6],[3]] => [2,1,3] => [3,2,1] => ([(0,2),(2,1)],3) => 1

[[2,4],[6]] => [3,1,2] => [3,1,2] => ([(0,1),(0,2),(1,3),(2,3)],4) => 1

[[2,6],[4]] => [2,1,3] => [3,2,1] => ([(0,2),(2,1)],3) => 1

[[2,5],[6]] => [3,1,2] => [3,1,2] => ([(0,1),(0,2),(1,3),(2,3)],4) => 1

[[2,6],[5]] => [2,1,3] => [3,2,1] => ([(0,2),(2,1)],3) => 1

[[2,6],[6]] => [2,1,3] => [3,2,1] => ([(0,2),(2,1)],3) => 1

[[3,3],[6]] => [3,1,2] => [3,1,2] => ([(0,1),(0,2),(1,3),(2,3)],4) => 1

[[3,4],[6]] => [3,1,2] => [3,1,2] => ([(0,1),(0,2),(1,3),(2,3)],4) => 1

[[3,6],[4]] => [2,1,3] => [3,2,1] => ([(0,2),(2,1)],3) => 1

[[3,5],[6]] => [3,1,2] => [3,1,2] => ([(0,1),(0,2),(1,3),(2,3)],4) => 1

[[3,6],[5]] => [2,1,3] => [3,2,1] => ([(0,2),(2,1)],3) => 1

[[3,6],[6]] => [2,1,3] => [3,2,1] => ([(0,2),(2,1)],3) => 1

[[4,4],[6]] => [3,1,2] => [3,1,2] => ([(0,1),(0,2),(1,3),(2,3)],4) => 1

[[4,5],[6]] => [3,1,2] => [3,1,2] => ([(0,1),(0,2),(1,3),(2,3)],4) => 1

[[4,6],[5]] => [2,1,3] => [3,2,1] => ([(0,2),(2,1)],3) => 1

[[4,6],[6]] => [2,1,3] => [3,2,1] => ([(0,2),(2,1)],3) => 1

[[5,5],[6]] => [3,1,2] => [3,1,2] => ([(0,1),(0,2),(1,3),(2,3)],4) => 1

[[5,6],[6]] => [2,1,3] => [3,2,1] => ([(0,2),(2,1)],3) => 1

[[1],[2],[6]] => [3,2,1] => [1,3,2] => ([(0,1),(0,2),(1,3),(2,3)],4) => 1

[[1],[3],[6]] => [3,2,1] => [1,3,2] => ([(0,1),(0,2),(1,3),(2,3)],4) => 1

[[1],[4],[6]] => [3,2,1] => [1,3,2] => ([(0,1),(0,2),(1,3),(2,3)],4) => 1

[[1],[5],[6]] => [3,2,1] => [1,3,2] => ([(0,1),(0,2),(1,3),(2,3)],4) => 1

[[2],[3],[6]] => [3,2,1] => [1,3,2] => ([(0,1),(0,2),(1,3),(2,3)],4) => 1

[[2],[4],[6]] => [3,2,1] => [1,3,2] => ([(0,1),(0,2),(1,3),(2,3)],4) => 1

[[2],[5],[6]] => [3,2,1] => [1,3,2] => ([(0,1),(0,2),(1,3),(2,3)],4) => 1

[[3],[4],[6]] => [3,2,1] => [1,3,2] => ([(0,1),(0,2),(1,3),(2,3)],4) => 1

[[3],[5],[6]] => [3,2,1] => [1,3,2] => ([(0,1),(0,2),(1,3),(2,3)],4) => 1

[[4],[5],[6]] => [3,2,1] => [1,3,2] => ([(0,1),(0,2),(1,3),(2,3)],4) => 1

[[1,1,1,5]] => [1,2,3,4] => [2,3,4,1] => ([(0,2),(0,3),(1,5),(2,4),(3,1),(3,4),(4,5)],6) => 1

[[1,1,2,5]] => [1,2,3,4] => [2,3,4,1] => ([(0,2),(0,3),(1,5),(2,4),(3,1),(3,4),(4,5)],6) => 1

[[1,1,3,5]] => [1,2,3,4] => [2,3,4,1] => ([(0,2),(0,3),(1,5),(2,4),(3,1),(3,4),(4,5)],6) => 1

[[1,1,4,5]] => [1,2,3,4] => [2,3,4,1] => ([(0,2),(0,3),(1,5),(2,4),(3,1),(3,4),(4,5)],6) => 1

[[1,1,5,5]] => [1,2,3,4] => [2,3,4,1] => ([(0,2),(0,3),(1,5),(2,4),(3,1),(3,4),(4,5)],6) => 1

[[1,2,2,5]] => [1,2,3,4] => [2,3,4,1] => ([(0,2),(0,3),(1,5),(2,4),(3,1),(3,4),(4,5)],6) => 1

[[1,2,3,5]] => [1,2,3,4] => [2,3,4,1] => ([(0,2),(0,3),(1,5),(2,4),(3,1),(3,4),(4,5)],6) => 1

[[1,2,4,5]] => [1,2,3,4] => [2,3,4,1] => ([(0,2),(0,3),(1,5),(2,4),(3,1),(3,4),(4,5)],6) => 1

[[1,2,5,5]] => [1,2,3,4] => [2,3,4,1] => ([(0,2),(0,3),(1,5),(2,4),(3,1),(3,4),(4,5)],6) => 1

[[1,3,3,5]] => [1,2,3,4] => [2,3,4,1] => ([(0,2),(0,3),(1,5),(2,4),(3,1),(3,4),(4,5)],6) => 1

[[1,3,4,5]] => [1,2,3,4] => [2,3,4,1] => ([(0,2),(0,3),(1,5),(2,4),(3,1),(3,4),(4,5)],6) => 1

[[1,3,5,5]] => [1,2,3,4] => [2,3,4,1] => ([(0,2),(0,3),(1,5),(2,4),(3,1),(3,4),(4,5)],6) => 1

[[1,4,4,5]] => [1,2,3,4] => [2,3,4,1] => ([(0,2),(0,3),(1,5),(2,4),(3,1),(3,4),(4,5)],6) => 1

[[1,4,5,5]] => [1,2,3,4] => [2,3,4,1] => ([(0,2),(0,3),(1,5),(2,4),(3,1),(3,4),(4,5)],6) => 1

[[1,5,5,5]] => [1,2,3,4] => [2,3,4,1] => ([(0,2),(0,3),(1,5),(2,4),(3,1),(3,4),(4,5)],6) => 1

[[2,2,2,5]] => [1,2,3,4] => [2,3,4,1] => ([(0,2),(0,3),(1,5),(2,4),(3,1),(3,4),(4,5)],6) => 1

[[2,2,3,5]] => [1,2,3,4] => [2,3,4,1] => ([(0,2),(0,3),(1,5),(2,4),(3,1),(3,4),(4,5)],6) => 1

[[2,2,4,5]] => [1,2,3,4] => [2,3,4,1] => ([(0,2),(0,3),(1,5),(2,4),(3,1),(3,4),(4,5)],6) => 1

[[2,2,5,5]] => [1,2,3,4] => [2,3,4,1] => ([(0,2),(0,3),(1,5),(2,4),(3,1),(3,4),(4,5)],6) => 1

[[2,3,3,5]] => [1,2,3,4] => [2,3,4,1] => ([(0,2),(0,3),(1,5),(2,4),(3,1),(3,4),(4,5)],6) => 1

[[2,3,4,5]] => [1,2,3,4] => [2,3,4,1] => ([(0,2),(0,3),(1,5),(2,4),(3,1),(3,4),(4,5)],6) => 1

[[2,3,5,5]] => [1,2,3,4] => [2,3,4,1] => ([(0,2),(0,3),(1,5),(2,4),(3,1),(3,4),(4,5)],6) => 1

[[2,4,4,5]] => [1,2,3,4] => [2,3,4,1] => ([(0,2),(0,3),(1,5),(2,4),(3,1),(3,4),(4,5)],6) => 1

[[2,4,5,5]] => [1,2,3,4] => [2,3,4,1] => ([(0,2),(0,3),(1,5),(2,4),(3,1),(3,4),(4,5)],6) => 1

[[2,5,5,5]] => [1,2,3,4] => [2,3,4,1] => ([(0,2),(0,3),(1,5),(2,4),(3,1),(3,4),(4,5)],6) => 1

[[3,3,3,5]] => [1,2,3,4] => [2,3,4,1] => ([(0,2),(0,3),(1,5),(2,4),(3,1),(3,4),(4,5)],6) => 1

[[3,3,4,5]] => [1,2,3,4] => [2,3,4,1] => ([(0,2),(0,3),(1,5),(2,4),(3,1),(3,4),(4,5)],6) => 1

[[3,3,5,5]] => [1,2,3,4] => [2,3,4,1] => ([(0,2),(0,3),(1,5),(2,4),(3,1),(3,4),(4,5)],6) => 1

[[3,4,4,5]] => [1,2,3,4] => [2,3,4,1] => ([(0,2),(0,3),(1,5),(2,4),(3,1),(3,4),(4,5)],6) => 1

[[3,4,5,5]] => [1,2,3,4] => [2,3,4,1] => ([(0,2),(0,3),(1,5),(2,4),(3,1),(3,4),(4,5)],6) => 1

[[3,5,5,5]] => [1,2,3,4] => [2,3,4,1] => ([(0,2),(0,3),(1,5),(2,4),(3,1),(3,4),(4,5)],6) => 1

[[4,4,4,5]] => [1,2,3,4] => [2,3,4,1] => ([(0,2),(0,3),(1,5),(2,4),(3,1),(3,4),(4,5)],6) => 1

[[4,4,5,5]] => [1,2,3,4] => [2,3,4,1] => ([(0,2),(0,3),(1,5),(2,4),(3,1),(3,4),(4,5)],6) => 1

[[4,5,5,5]] => [1,2,3,4] => [2,3,4,1] => ([(0,2),(0,3),(1,5),(2,4),(3,1),(3,4),(4,5)],6) => 1

[[5,5,5,5]] => [1,2,3,4] => [2,3,4,1] => ([(0,2),(0,3),(1,5),(2,4),(3,1),(3,4),(4,5)],6) => 1

[[1,1,1],[5]] => [4,1,2,3] => [3,4,1,2] => ([(0,1),(0,2),(1,4),(1,5),(2,4),(2,5),(4,3),(5,3)],6) => 1

[[1,1,2],[5]] => [4,1,2,3] => [3,4,1,2] => ([(0,1),(0,2),(1,4),(1,5),(2,4),(2,5),(4,3),(5,3)],6) => 1

[[1,1,5],[2]] => [3,1,2,4] => [3,4,2,1] => ([(0,2),(0,3),(1,5),(2,4),(3,1),(3,4),(4,5)],6) => 1

[[1,1,3],[5]] => [4,1,2,3] => [3,4,1,2] => ([(0,1),(0,2),(1,4),(1,5),(2,4),(2,5),(4,3),(5,3)],6) => 1

[[1,1,5],[3]] => [3,1,2,4] => [3,4,2,1] => ([(0,2),(0,3),(1,5),(2,4),(3,1),(3,4),(4,5)],6) => 1

[[1,1,4],[5]] => [4,1,2,3] => [3,4,1,2] => ([(0,1),(0,2),(1,4),(1,5),(2,4),(2,5),(4,3),(5,3)],6) => 1

[[1,1,5],[4]] => [3,1,2,4] => [3,4,2,1] => ([(0,2),(0,3),(1,5),(2,4),(3,1),(3,4),(4,5)],6) => 1

[[1,1,5],[5]] => [3,1,2,4] => [3,4,2,1] => ([(0,2),(0,3),(1,5),(2,4),(3,1),(3,4),(4,5)],6) => 1

[[1,2,2],[5]] => [4,1,2,3] => [3,4,1,2] => ([(0,1),(0,2),(1,4),(1,5),(2,4),(2,5),(4,3),(5,3)],6) => 1

[[1,2,5],[2]] => [2,1,3,4] => [3,2,4,1] => ([(0,1),(0,2),(0,3),(1,6),(2,4),(2,6),(3,4),(3,6),(4,5),(6,5)],7) => 1

[[1,2,3],[5]] => [4,1,2,3] => [3,4,1,2] => ([(0,1),(0,2),(1,4),(1,5),(2,4),(2,5),(4,3),(5,3)],6) => 1

[[1,2,5],[3]] => [3,1,2,4] => [3,4,2,1] => ([(0,2),(0,3),(1,5),(2,4),(3,1),(3,4),(4,5)],6) => 1

[[1,3,5],[2]] => [2,1,3,4] => [3,2,4,1] => ([(0,1),(0,2),(0,3),(1,6),(2,4),(2,6),(3,4),(3,6),(4,5),(6,5)],7) => 1

[[1,2,4],[5]] => [4,1,2,3] => [3,4,1,2] => ([(0,1),(0,2),(1,4),(1,5),(2,4),(2,5),(4,3),(5,3)],6) => 1

[[1,2,5],[4]] => [3,1,2,4] => [3,4,2,1] => ([(0,2),(0,3),(1,5),(2,4),(3,1),(3,4),(4,5)],6) => 1

[[1,4,5],[2]] => [2,1,3,4] => [3,2,4,1] => ([(0,1),(0,2),(0,3),(1,6),(2,4),(2,6),(3,4),(3,6),(4,5),(6,5)],7) => 1

[[1,2,5],[5]] => [3,1,2,4] => [3,4,2,1] => ([(0,2),(0,3),(1,5),(2,4),(3,1),(3,4),(4,5)],6) => 1

[[1,5,5],[2]] => [2,1,3,4] => [3,2,4,1] => ([(0,1),(0,2),(0,3),(1,6),(2,4),(2,6),(3,4),(3,6),(4,5),(6,5)],7) => 1

[[1,3,3],[5]] => [4,1,2,3] => [3,4,1,2] => ([(0,1),(0,2),(1,4),(1,5),(2,4),(2,5),(4,3),(5,3)],6) => 1

[[1,3,5],[3]] => [2,1,3,4] => [3,2,4,1] => ([(0,1),(0,2),(0,3),(1,6),(2,4),(2,6),(3,4),(3,6),(4,5),(6,5)],7) => 1

[[1,3,4],[5]] => [4,1,2,3] => [3,4,1,2] => ([(0,1),(0,2),(1,4),(1,5),(2,4),(2,5),(4,3),(5,3)],6) => 1

[[1,3,5],[4]] => [3,1,2,4] => [3,4,2,1] => ([(0,2),(0,3),(1,5),(2,4),(3,1),(3,4),(4,5)],6) => 1

[[1,4,5],[3]] => [2,1,3,4] => [3,2,4,1] => ([(0,1),(0,2),(0,3),(1,6),(2,4),(2,6),(3,4),(3,6),(4,5),(6,5)],7) => 1

[[1,3,5],[5]] => [3,1,2,4] => [3,4,2,1] => ([(0,2),(0,3),(1,5),(2,4),(3,1),(3,4),(4,5)],6) => 1

[[1,5,5],[3]] => [2,1,3,4] => [3,2,4,1] => ([(0,1),(0,2),(0,3),(1,6),(2,4),(2,6),(3,4),(3,6),(4,5),(6,5)],7) => 1

[[1,4,4],[5]] => [4,1,2,3] => [3,4,1,2] => ([(0,1),(0,2),(1,4),(1,5),(2,4),(2,5),(4,3),(5,3)],6) => 1

[[1,4,5],[4]] => [2,1,3,4] => [3,2,4,1] => ([(0,1),(0,2),(0,3),(1,6),(2,4),(2,6),(3,4),(3,6),(4,5),(6,5)],7) => 1

[[1,4,5],[5]] => [3,1,2,4] => [3,4,2,1] => ([(0,2),(0,3),(1,5),(2,4),(3,1),(3,4),(4,5)],6) => 1

[[1,5,5],[4]] => [2,1,3,4] => [3,2,4,1] => ([(0,1),(0,2),(0,3),(1,6),(2,4),(2,6),(3,4),(3,6),(4,5),(6,5)],7) => 1

[[1,5,5],[5]] => [2,1,3,4] => [3,2,4,1] => ([(0,1),(0,2),(0,3),(1,6),(2,4),(2,6),(3,4),(3,6),(4,5),(6,5)],7) => 1

[[2,2,2],[5]] => [4,1,2,3] => [3,4,1,2] => ([(0,1),(0,2),(1,4),(1,5),(2,4),(2,5),(4,3),(5,3)],6) => 1

[[2,2,3],[5]] => [4,1,2,3] => [3,4,1,2] => ([(0,1),(0,2),(1,4),(1,5),(2,4),(2,5),(4,3),(5,3)],6) => 1

[[2,2,5],[3]] => [3,1,2,4] => [3,4,2,1] => ([(0,2),(0,3),(1,5),(2,4),(3,1),(3,4),(4,5)],6) => 1

[[2,2,4],[5]] => [4,1,2,3] => [3,4,1,2] => ([(0,1),(0,2),(1,4),(1,5),(2,4),(2,5),(4,3),(5,3)],6) => 1

[[2,2,5],[4]] => [3,1,2,4] => [3,4,2,1] => ([(0,2),(0,3),(1,5),(2,4),(3,1),(3,4),(4,5)],6) => 1

[[2,2,5],[5]] => [3,1,2,4] => [3,4,2,1] => ([(0,2),(0,3),(1,5),(2,4),(3,1),(3,4),(4,5)],6) => 1

[[2,3,3],[5]] => [4,1,2,3] => [3,4,1,2] => ([(0,1),(0,2),(1,4),(1,5),(2,4),(2,5),(4,3),(5,3)],6) => 1

[[2,3,5],[3]] => [2,1,3,4] => [3,2,4,1] => ([(0,1),(0,2),(0,3),(1,6),(2,4),(2,6),(3,4),(3,6),(4,5),(6,5)],7) => 1

[[2,3,4],[5]] => [4,1,2,3] => [3,4,1,2] => ([(0,1),(0,2),(1,4),(1,5),(2,4),(2,5),(4,3),(5,3)],6) => 1

[[2,3,5],[4]] => [3,1,2,4] => [3,4,2,1] => ([(0,2),(0,3),(1,5),(2,4),(3,1),(3,4),(4,5)],6) => 1

[[2,4,5],[3]] => [2,1,3,4] => [3,2,4,1] => ([(0,1),(0,2),(0,3),(1,6),(2,4),(2,6),(3,4),(3,6),(4,5),(6,5)],7) => 1

[[2,3,5],[5]] => [3,1,2,4] => [3,4,2,1] => ([(0,2),(0,3),(1,5),(2,4),(3,1),(3,4),(4,5)],6) => 1

[[2,5,5],[3]] => [2,1,3,4] => [3,2,4,1] => ([(0,1),(0,2),(0,3),(1,6),(2,4),(2,6),(3,4),(3,6),(4,5),(6,5)],7) => 1

[[2,4,4],[5]] => [4,1,2,3] => [3,4,1,2] => ([(0,1),(0,2),(1,4),(1,5),(2,4),(2,5),(4,3),(5,3)],6) => 1

[[2,4,5],[4]] => [2,1,3,4] => [3,2,4,1] => ([(0,1),(0,2),(0,3),(1,6),(2,4),(2,6),(3,4),(3,6),(4,5),(6,5)],7) => 1

[[2,4,5],[5]] => [3,1,2,4] => [3,4,2,1] => ([(0,2),(0,3),(1,5),(2,4),(3,1),(3,4),(4,5)],6) => 1

[[2,5,5],[4]] => [2,1,3,4] => [3,2,4,1] => ([(0,1),(0,2),(0,3),(1,6),(2,4),(2,6),(3,4),(3,6),(4,5),(6,5)],7) => 1

[[2,5,5],[5]] => [2,1,3,4] => [3,2,4,1] => ([(0,1),(0,2),(0,3),(1,6),(2,4),(2,6),(3,4),(3,6),(4,5),(6,5)],7) => 1

[[3,3,3],[5]] => [4,1,2,3] => [3,4,1,2] => ([(0,1),(0,2),(1,4),(1,5),(2,4),(2,5),(4,3),(5,3)],6) => 1

[[3,3,4],[5]] => [4,1,2,3] => [3,4,1,2] => ([(0,1),(0,2),(1,4),(1,5),(2,4),(2,5),(4,3),(5,3)],6) => 1

[[3,3,5],[4]] => [3,1,2,4] => [3,4,2,1] => ([(0,2),(0,3),(1,5),(2,4),(3,1),(3,4),(4,5)],6) => 1

[[3,3,5],[5]] => [3,1,2,4] => [3,4,2,1] => ([(0,2),(0,3),(1,5),(2,4),(3,1),(3,4),(4,5)],6) => 1

[[3,4,4],[5]] => [4,1,2,3] => [3,4,1,2] => ([(0,1),(0,2),(1,4),(1,5),(2,4),(2,5),(4,3),(5,3)],6) => 1

[[3,4,5],[4]] => [2,1,3,4] => [3,2,4,1] => ([(0,1),(0,2),(0,3),(1,6),(2,4),(2,6),(3,4),(3,6),(4,5),(6,5)],7) => 1

[[3,4,5],[5]] => [3,1,2,4] => [3,4,2,1] => ([(0,2),(0,3),(1,5),(2,4),(3,1),(3,4),(4,5)],6) => 1

[[3,5,5],[4]] => [2,1,3,4] => [3,2,4,1] => ([(0,1),(0,2),(0,3),(1,6),(2,4),(2,6),(3,4),(3,6),(4,5),(6,5)],7) => 1

[[3,5,5],[5]] => [2,1,3,4] => [3,2,4,1] => ([(0,1),(0,2),(0,3),(1,6),(2,4),(2,6),(3,4),(3,6),(4,5),(6,5)],7) => 1

[[4,4,4],[5]] => [4,1,2,3] => [3,4,1,2] => ([(0,1),(0,2),(1,4),(1,5),(2,4),(2,5),(4,3),(5,3)],6) => 1

[[4,4,5],[5]] => [3,1,2,4] => [3,4,2,1] => ([(0,2),(0,3),(1,5),(2,4),(3,1),(3,4),(4,5)],6) => 1

[[4,5,5],[5]] => [2,1,3,4] => [3,2,4,1] => ([(0,1),(0,2),(0,3),(1,6),(2,4),(2,6),(3,4),(3,6),(4,5),(6,5)],7) => 1

[[1,1],[2,5]] => [3,4,1,2] => [4,1,2,3] => ([(0,2),(0,3),(1,5),(2,4),(3,1),(3,4),(4,5)],6) => 1

[[1,1],[3,5]] => [3,4,1,2] => [4,1,2,3] => ([(0,2),(0,3),(1,5),(2,4),(3,1),(3,4),(4,5)],6) => 1

[[1,1],[4,5]] => [3,4,1,2] => [4,1,2,3] => ([(0,2),(0,3),(1,5),(2,4),(3,1),(3,4),(4,5)],6) => 1

[[1,1],[5,5]] => [3,4,1,2] => [4,1,2,3] => ([(0,2),(0,3),(1,5),(2,4),(3,1),(3,4),(4,5)],6) => 1

[[1,2],[2,5]] => [2,4,1,3] => [4,2,1,3] => ([(0,1),(0,2),(0,3),(1,6),(2,4),(2,6),(3,4),(3,6),(4,5),(6,5)],7) => 1

[[1,2],[3,5]] => [3,4,1,2] => [4,1,2,3] => ([(0,2),(0,3),(1,5),(2,4),(3,1),(3,4),(4,5)],6) => 1

[[1,3],[2,5]] => [2,4,1,3] => [4,2,1,3] => ([(0,1),(0,2),(0,3),(1,6),(2,4),(2,6),(3,4),(3,6),(4,5),(6,5)],7) => 1

[[1,2],[4,5]] => [3,4,1,2] => [4,1,2,3] => ([(0,2),(0,3),(1,5),(2,4),(3,1),(3,4),(4,5)],6) => 1

[[1,4],[2,5]] => [2,4,1,3] => [4,2,1,3] => ([(0,1),(0,2),(0,3),(1,6),(2,4),(2,6),(3,4),(3,6),(4,5),(6,5)],7) => 1

[[1,2],[5,5]] => [3,4,1,2] => [4,1,2,3] => ([(0,2),(0,3),(1,5),(2,4),(3,1),(3,4),(4,5)],6) => 1

[[1,3],[3,5]] => [2,4,1,3] => [4,2,1,3] => ([(0,1),(0,2),(0,3),(1,6),(2,4),(2,6),(3,4),(3,6),(4,5),(6,5)],7) => 1

[[1,3],[4,5]] => [3,4,1,2] => [4,1,2,3] => ([(0,2),(0,3),(1,5),(2,4),(3,1),(3,4),(4,5)],6) => 1

[[1,4],[3,5]] => [2,4,1,3] => [4,2,1,3] => ([(0,1),(0,2),(0,3),(1,6),(2,4),(2,6),(3,4),(3,6),(4,5),(6,5)],7) => 1

[[1,3],[5,5]] => [3,4,1,2] => [4,1,2,3] => ([(0,2),(0,3),(1,5),(2,4),(3,1),(3,4),(4,5)],6) => 1

[[1,4],[4,5]] => [2,4,1,3] => [4,2,1,3] => ([(0,1),(0,2),(0,3),(1,6),(2,4),(2,6),(3,4),(3,6),(4,5),(6,5)],7) => 1

[[1,4],[5,5]] => [3,4,1,2] => [4,1,2,3] => ([(0,2),(0,3),(1,5),(2,4),(3,1),(3,4),(4,5)],6) => 1

[[2,2],[3,5]] => [3,4,1,2] => [4,1,2,3] => ([(0,2),(0,3),(1,5),(2,4),(3,1),(3,4),(4,5)],6) => 1

[[2,2],[4,5]] => [3,4,1,2] => [4,1,2,3] => ([(0,2),(0,3),(1,5),(2,4),(3,1),(3,4),(4,5)],6) => 1

[[2,2],[5,5]] => [3,4,1,2] => [4,1,2,3] => ([(0,2),(0,3),(1,5),(2,4),(3,1),(3,4),(4,5)],6) => 1

[[2,3],[3,5]] => [2,4,1,3] => [4,2,1,3] => ([(0,1),(0,2),(0,3),(1,6),(2,4),(2,6),(3,4),(3,6),(4,5),(6,5)],7) => 1

[[2,3],[4,5]] => [3,4,1,2] => [4,1,2,3] => ([(0,2),(0,3),(1,5),(2,4),(3,1),(3,4),(4,5)],6) => 1

[[2,4],[3,5]] => [2,4,1,3] => [4,2,1,3] => ([(0,1),(0,2),(0,3),(1,6),(2,4),(2,6),(3,4),(3,6),(4,5),(6,5)],7) => 1

[[2,3],[5,5]] => [3,4,1,2] => [4,1,2,3] => ([(0,2),(0,3),(1,5),(2,4),(3,1),(3,4),(4,5)],6) => 1

[[2,4],[4,5]] => [2,4,1,3] => [4,2,1,3] => ([(0,1),(0,2),(0,3),(1,6),(2,4),(2,6),(3,4),(3,6),(4,5),(6,5)],7) => 1

[[2,4],[5,5]] => [3,4,1,2] => [4,1,2,3] => ([(0,2),(0,3),(1,5),(2,4),(3,1),(3,4),(4,5)],6) => 1

[[3,3],[4,5]] => [3,4,1,2] => [4,1,2,3] => ([(0,2),(0,3),(1,5),(2,4),(3,1),(3,4),(4,5)],6) => 1

[[3,3],[5,5]] => [3,4,1,2] => [4,1,2,3] => ([(0,2),(0,3),(1,5),(2,4),(3,1),(3,4),(4,5)],6) => 1

[[3,4],[4,5]] => [2,4,1,3] => [4,2,1,3] => ([(0,1),(0,2),(0,3),(1,6),(2,4),(2,6),(3,4),(3,6),(4,5),(6,5)],7) => 1

[[3,4],[5,5]] => [3,4,1,2] => [4,1,2,3] => ([(0,2),(0,3),(1,5),(2,4),(3,1),(3,4),(4,5)],6) => 1

[[4,4],[5,5]] => [3,4,1,2] => [4,1,2,3] => ([(0,2),(0,3),(1,5),(2,4),(3,1),(3,4),(4,5)],6) => 1

[[1,1],[2],[5]] => [4,3,1,2] => [4,1,3,2] => ([(0,1),(0,2),(0,3),(1,6),(2,4),(2,6),(3,4),(3,6),(4,5),(6,5)],7) => 1

[[1,1],[3],[5]] => [4,3,1,2] => [4,1,3,2] => ([(0,1),(0,2),(0,3),(1,6),(2,4),(2,6),(3,4),(3,6),(4,5),(6,5)],7) => 1

[[1,1],[4],[5]] => [4,3,1,2] => [4,1,3,2] => ([(0,1),(0,2),(0,3),(1,6),(2,4),(2,6),(3,4),(3,6),(4,5),(6,5)],7) => 1

[[1,2],[2],[5]] => [4,2,1,3] => [4,3,1,2] => ([(0,2),(0,3),(1,5),(2,4),(3,1),(3,4),(4,5)],6) => 1

[[1,2],[3],[5]] => [4,3,1,2] => [4,1,3,2] => ([(0,1),(0,2),(0,3),(1,6),(2,4),(2,6),(3,4),(3,6),(4,5),(6,5)],7) => 1

[[1,3],[2],[5]] => [4,2,1,3] => [4,3,1,2] => ([(0,2),(0,3),(1,5),(2,4),(3,1),(3,4),(4,5)],6) => 1

[[1,5],[2],[3]] => [3,2,1,4] => [4,3,2,1] => ([(0,3),(2,1),(3,2)],4) => 1

[[1,2],[4],[5]] => [4,3,1,2] => [4,1,3,2] => ([(0,1),(0,2),(0,3),(1,6),(2,4),(2,6),(3,4),(3,6),(4,5),(6,5)],7) => 1

[[1,4],[2],[5]] => [4,2,1,3] => [4,3,1,2] => ([(0,2),(0,3),(1,5),(2,4),(3,1),(3,4),(4,5)],6) => 1

[[1,5],[2],[4]] => [3,2,1,4] => [4,3,2,1] => ([(0,3),(2,1),(3,2)],4) => 1

[[1,5],[2],[5]] => [3,2,1,4] => [4,3,2,1] => ([(0,3),(2,1),(3,2)],4) => 1

[[1,3],[3],[5]] => [4,2,1,3] => [4,3,1,2] => ([(0,2),(0,3),(1,5),(2,4),(3,1),(3,4),(4,5)],6) => 1

[[1,3],[4],[5]] => [4,3,1,2] => [4,1,3,2] => ([(0,1),(0,2),(0,3),(1,6),(2,4),(2,6),(3,4),(3,6),(4,5),(6,5)],7) => 1

[[1,4],[3],[5]] => [4,2,1,3] => [4,3,1,2] => ([(0,2),(0,3),(1,5),(2,4),(3,1),(3,4),(4,5)],6) => 1

[[1,5],[3],[4]] => [3,2,1,4] => [4,3,2,1] => ([(0,3),(2,1),(3,2)],4) => 1

[[1,5],[3],[5]] => [3,2,1,4] => [4,3,2,1] => ([(0,3),(2,1),(3,2)],4) => 1

[[1,4],[4],[5]] => [4,2,1,3] => [4,3,1,2] => ([(0,2),(0,3),(1,5),(2,4),(3,1),(3,4),(4,5)],6) => 1

[[1,5],[4],[5]] => [3,2,1,4] => [4,3,2,1] => ([(0,3),(2,1),(3,2)],4) => 1

[[2,2],[3],[5]] => [4,3,1,2] => [4,1,3,2] => ([(0,1),(0,2),(0,3),(1,6),(2,4),(2,6),(3,4),(3,6),(4,5),(6,5)],7) => 1

[[2,2],[4],[5]] => [4,3,1,2] => [4,1,3,2] => ([(0,1),(0,2),(0,3),(1,6),(2,4),(2,6),(3,4),(3,6),(4,5),(6,5)],7) => 1

[[2,3],[3],[5]] => [4,2,1,3] => [4,3,1,2] => ([(0,2),(0,3),(1,5),(2,4),(3,1),(3,4),(4,5)],6) => 1

[[2,3],[4],[5]] => [4,3,1,2] => [4,1,3,2] => ([(0,1),(0,2),(0,3),(1,6),(2,4),(2,6),(3,4),(3,6),(4,5),(6,5)],7) => 1

[[2,4],[3],[5]] => [4,2,1,3] => [4,3,1,2] => ([(0,2),(0,3),(1,5),(2,4),(3,1),(3,4),(4,5)],6) => 1

[[2,5],[3],[4]] => [3,2,1,4] => [4,3,2,1] => ([(0,3),(2,1),(3,2)],4) => 1

[[2,5],[3],[5]] => [3,2,1,4] => [4,3,2,1] => ([(0,3),(2,1),(3,2)],4) => 1

[[2,4],[4],[5]] => [4,2,1,3] => [4,3,1,2] => ([(0,2),(0,3),(1,5),(2,4),(3,1),(3,4),(4,5)],6) => 1

[[2,5],[4],[5]] => [3,2,1,4] => [4,3,2,1] => ([(0,3),(2,1),(3,2)],4) => 1

[[3,3],[4],[5]] => [4,3,1,2] => [4,1,3,2] => ([(0,1),(0,2),(0,3),(1,6),(2,4),(2,6),(3,4),(3,6),(4,5),(6,5)],7) => 1

[[3,4],[4],[5]] => [4,2,1,3] => [4,3,1,2] => ([(0,2),(0,3),(1,5),(2,4),(3,1),(3,4),(4,5)],6) => 1

[[3,5],[4],[5]] => [3,2,1,4] => [4,3,2,1] => ([(0,3),(2,1),(3,2)],4) => 1

[[1],[2],[3],[5]] => [4,3,2,1] => [1,4,3,2] => ([(0,2),(0,3),(1,5),(2,4),(3,1),(3,4),(4,5)],6) => 1

[[1],[2],[4],[5]] => [4,3,2,1] => [1,4,3,2] => ([(0,2),(0,3),(1,5),(2,4),(3,1),(3,4),(4,5)],6) => 1

[[1],[3],[4],[5]] => [4,3,2,1] => [1,4,3,2] => ([(0,2),(0,3),(1,5),(2,4),(3,1),(3,4),(4,5)],6) => 1

[[2],[3],[4],[5]] => [4,3,2,1] => [1,4,3,2] => ([(0,2),(0,3),(1,5),(2,4),(3,1),(3,4),(4,5)],6) => 1

[[1,1,1,1,4]] => [1,2,3,4,5] => [2,3,4,5,1] => ([(0,2),(0,4),(1,6),(2,5),(3,1),(3,7),(4,3),(4,5),(5,7),(7,6)],8) => 1

[[1,1,1,2,4]] => [1,2,3,4,5] => [2,3,4,5,1] => ([(0,2),(0,4),(1,6),(2,5),(3,1),(3,7),(4,3),(4,5),(5,7),(7,6)],8) => 1

[[1,1,1,3,4]] => [1,2,3,4,5] => [2,3,4,5,1] => ([(0,2),(0,4),(1,6),(2,5),(3,1),(3,7),(4,3),(4,5),(5,7),(7,6)],8) => 1

[[1,1,1,4,4]] => [1,2,3,4,5] => [2,3,4,5,1] => ([(0,2),(0,4),(1,6),(2,5),(3,1),(3,7),(4,3),(4,5),(5,7),(7,6)],8) => 1

[[1,1,2,2,4]] => [1,2,3,4,5] => [2,3,4,5,1] => ([(0,2),(0,4),(1,6),(2,5),(3,1),(3,7),(4,3),(4,5),(5,7),(7,6)],8) => 1

[[1,1,2,3,4]] => [1,2,3,4,5] => [2,3,4,5,1] => ([(0,2),(0,4),(1,6),(2,5),(3,1),(3,7),(4,3),(4,5),(5,7),(7,6)],8) => 1

[[1,1,2,4,4]] => [1,2,3,4,5] => [2,3,4,5,1] => ([(0,2),(0,4),(1,6),(2,5),(3,1),(3,7),(4,3),(4,5),(5,7),(7,6)],8) => 1

[[1,1,3,3,4]] => [1,2,3,4,5] => [2,3,4,5,1] => ([(0,2),(0,4),(1,6),(2,5),(3,1),(3,7),(4,3),(4,5),(5,7),(7,6)],8) => 1

[[1,1,3,4,4]] => [1,2,3,4,5] => [2,3,4,5,1] => ([(0,2),(0,4),(1,6),(2,5),(3,1),(3,7),(4,3),(4,5),(5,7),(7,6)],8) => 1

[[1,1,4,4,4]] => [1,2,3,4,5] => [2,3,4,5,1] => ([(0,2),(0,4),(1,6),(2,5),(3,1),(3,7),(4,3),(4,5),(5,7),(7,6)],8) => 1

[[1,2,2,2,4]] => [1,2,3,4,5] => [2,3,4,5,1] => ([(0,2),(0,4),(1,6),(2,5),(3,1),(3,7),(4,3),(4,5),(5,7),(7,6)],8) => 1

[[1,2,2,3,4]] => [1,2,3,4,5] => [2,3,4,5,1] => ([(0,2),(0,4),(1,6),(2,5),(3,1),(3,7),(4,3),(4,5),(5,7),(7,6)],8) => 1

[[1,2,2,4,4]] => [1,2,3,4,5] => [2,3,4,5,1] => ([(0,2),(0,4),(1,6),(2,5),(3,1),(3,7),(4,3),(4,5),(5,7),(7,6)],8) => 1

[[1,2,3,3,4]] => [1,2,3,4,5] => [2,3,4,5,1] => ([(0,2),(0,4),(1,6),(2,5),(3,1),(3,7),(4,3),(4,5),(5,7),(7,6)],8) => 1

[[1,2,3,4,4]] => [1,2,3,4,5] => [2,3,4,5,1] => ([(0,2),(0,4),(1,6),(2,5),(3,1),(3,7),(4,3),(4,5),(5,7),(7,6)],8) => 1

[[1,2,4,4,4]] => [1,2,3,4,5] => [2,3,4,5,1] => ([(0,2),(0,4),(1,6),(2,5),(3,1),(3,7),(4,3),(4,5),(5,7),(7,6)],8) => 1

[[1,3,3,3,4]] => [1,2,3,4,5] => [2,3,4,5,1] => ([(0,2),(0,4),(1,6),(2,5),(3,1),(3,7),(4,3),(4,5),(5,7),(7,6)],8) => 1

[[1,3,3,4,4]] => [1,2,3,4,5] => [2,3,4,5,1] => ([(0,2),(0,4),(1,6),(2,5),(3,1),(3,7),(4,3),(4,5),(5,7),(7,6)],8) => 1

[[1,3,4,4,4]] => [1,2,3,4,5] => [2,3,4,5,1] => ([(0,2),(0,4),(1,6),(2,5),(3,1),(3,7),(4,3),(4,5),(5,7),(7,6)],8) => 1

[[1,4,4,4,4]] => [1,2,3,4,5] => [2,3,4,5,1] => ([(0,2),(0,4),(1,6),(2,5),(3,1),(3,7),(4,3),(4,5),(5,7),(7,6)],8) => 1

[[2,2,2,2,4]] => [1,2,3,4,5] => [2,3,4,5,1] => ([(0,2),(0,4),(1,6),(2,5),(3,1),(3,7),(4,3),(4,5),(5,7),(7,6)],8) => 1

[[2,2,2,3,4]] => [1,2,3,4,5] => [2,3,4,5,1] => ([(0,2),(0,4),(1,6),(2,5),(3,1),(3,7),(4,3),(4,5),(5,7),(7,6)],8) => 1

[[2,2,2,4,4]] => [1,2,3,4,5] => [2,3,4,5,1] => ([(0,2),(0,4),(1,6),(2,5),(3,1),(3,7),(4,3),(4,5),(5,7),(7,6)],8) => 1

[[2,2,3,3,4]] => [1,2,3,4,5] => [2,3,4,5,1] => ([(0,2),(0,4),(1,6),(2,5),(3,1),(3,7),(4,3),(4,5),(5,7),(7,6)],8) => 1

[[2,2,3,4,4]] => [1,2,3,4,5] => [2,3,4,5,1] => ([(0,2),(0,4),(1,6),(2,5),(3,1),(3,7),(4,3),(4,5),(5,7),(7,6)],8) => 1

[[2,2,4,4,4]] => [1,2,3,4,5] => [2,3,4,5,1] => ([(0,2),(0,4),(1,6),(2,5),(3,1),(3,7),(4,3),(4,5),(5,7),(7,6)],8) => 1

[[2,3,3,3,4]] => [1,2,3,4,5] => [2,3,4,5,1] => ([(0,2),(0,4),(1,6),(2,5),(3,1),(3,7),(4,3),(4,5),(5,7),(7,6)],8) => 1

[[2,3,3,4,4]] => [1,2,3,4,5] => [2,3,4,5,1] => ([(0,2),(0,4),(1,6),(2,5),(3,1),(3,7),(4,3),(4,5),(5,7),(7,6)],8) => 1

[[2,3,4,4,4]] => [1,2,3,4,5] => [2,3,4,5,1] => ([(0,2),(0,4),(1,6),(2,5),(3,1),(3,7),(4,3),(4,5),(5,7),(7,6)],8) => 1

[[2,4,4,4,4]] => [1,2,3,4,5] => [2,3,4,5,1] => ([(0,2),(0,4),(1,6),(2,5),(3,1),(3,7),(4,3),(4,5),(5,7),(7,6)],8) => 1

[[3,3,3,3,4]] => [1,2,3,4,5] => [2,3,4,5,1] => ([(0,2),(0,4),(1,6),(2,5),(3,1),(3,7),(4,3),(4,5),(5,7),(7,6)],8) => 1

[[3,3,3,4,4]] => [1,2,3,4,5] => [2,3,4,5,1] => ([(0,2),(0,4),(1,6),(2,5),(3,1),(3,7),(4,3),(4,5),(5,7),(7,6)],8) => 1

[[3,3,4,4,4]] => [1,2,3,4,5] => [2,3,4,5,1] => ([(0,2),(0,4),(1,6),(2,5),(3,1),(3,7),(4,3),(4,5),(5,7),(7,6)],8) => 1

[[3,4,4,4,4]] => [1,2,3,4,5] => [2,3,4,5,1] => ([(0,2),(0,4),(1,6),(2,5),(3,1),(3,7),(4,3),(4,5),(5,7),(7,6)],8) => 1

[[4,4,4,4,4]] => [1,2,3,4,5] => [2,3,4,5,1] => ([(0,2),(0,4),(1,6),(2,5),(3,1),(3,7),(4,3),(4,5),(5,7),(7,6)],8) => 1

[[1,1,1,4],[2]] => [4,1,2,3,5] => [3,4,5,2,1] => ([(0,3),(0,4),(1,7),(2,6),(3,2),(3,5),(4,1),(4,5),(5,6),(5,7),(6,8),(7,8)],9) => 1

[[1,1,1,4],[3]] => [4,1,2,3,5] => [3,4,5,2,1] => ([(0,3),(0,4),(1,7),(2,6),(3,2),(3,5),(4,1),(4,5),(5,6),(5,7),(6,8),(7,8)],9) => 1

[[1,1,1,4],[4]] => [4,1,2,3,5] => [3,4,5,2,1] => ([(0,3),(0,4),(1,7),(2,6),(3,2),(3,5),(4,1),(4,5),(5,6),(5,7),(6,8),(7,8)],9) => 1

[[1,1,2,4],[3]] => [4,1,2,3,5] => [3,4,5,2,1] => ([(0,3),(0,4),(1,7),(2,6),(3,2),(3,5),(4,1),(4,5),(5,6),(5,7),(6,8),(7,8)],9) => 1

[[1,1,2,4],[4]] => [4,1,2,3,5] => [3,4,5,2,1] => ([(0,3),(0,4),(1,7),(2,6),(3,2),(3,5),(4,1),(4,5),(5,6),(5,7),(6,8),(7,8)],9) => 1

[[1,1,3,4],[4]] => [4,1,2,3,5] => [3,4,5,2,1] => ([(0,3),(0,4),(1,7),(2,6),(3,2),(3,5),(4,1),(4,5),(5,6),(5,7),(6,8),(7,8)],9) => 1

[[1,2,2,4],[3]] => [4,1,2,3,5] => [3,4,5,2,1] => ([(0,3),(0,4),(1,7),(2,6),(3,2),(3,5),(4,1),(4,5),(5,6),(5,7),(6,8),(7,8)],9) => 1

[[1,2,2,4],[4]] => [4,1,2,3,5] => [3,4,5,2,1] => ([(0,3),(0,4),(1,7),(2,6),(3,2),(3,5),(4,1),(4,5),(5,6),(5,7),(6,8),(7,8)],9) => 1

[[1,2,3,4],[4]] => [4,1,2,3,5] => [3,4,5,2,1] => ([(0,3),(0,4),(1,7),(2,6),(3,2),(3,5),(4,1),(4,5),(5,6),(5,7),(6,8),(7,8)],9) => 1

[[1,3,3,4],[4]] => [4,1,2,3,5] => [3,4,5,2,1] => ([(0,3),(0,4),(1,7),(2,6),(3,2),(3,5),(4,1),(4,5),(5,6),(5,7),(6,8),(7,8)],9) => 1

[[2,2,2,4],[3]] => [4,1,2,3,5] => [3,4,5,2,1] => ([(0,3),(0,4),(1,7),(2,6),(3,2),(3,5),(4,1),(4,5),(5,6),(5,7),(6,8),(7,8)],9) => 1

[[2,2,2,4],[4]] => [4,1,2,3,5] => [3,4,5,2,1] => ([(0,3),(0,4),(1,7),(2,6),(3,2),(3,5),(4,1),(4,5),(5,6),(5,7),(6,8),(7,8)],9) => 1

[[2,2,3,4],[4]] => [4,1,2,3,5] => [3,4,5,2,1] => ([(0,3),(0,4),(1,7),(2,6),(3,2),(3,5),(4,1),(4,5),(5,6),(5,7),(6,8),(7,8)],9) => 1

[[2,3,3,4],[4]] => [4,1,2,3,5] => [3,4,5,2,1] => ([(0,3),(0,4),(1,7),(2,6),(3,2),(3,5),(4,1),(4,5),(5,6),(5,7),(6,8),(7,8)],9) => 1

[[3,3,3,4],[4]] => [4,1,2,3,5] => [3,4,5,2,1] => ([(0,3),(0,4),(1,7),(2,6),(3,2),(3,5),(4,1),(4,5),(5,6),(5,7),(6,8),(7,8)],9) => 1

[[1,1,4],[2],[3]] => [4,3,1,2,5] => [4,5,3,2,1] => ([(0,2),(0,4),(1,6),(2,5),(3,1),(3,7),(4,3),(4,5),(5,7),(7,6)],8) => 1

[[1,1,4],[2],[4]] => [4,3,1,2,5] => [4,5,3,2,1] => ([(0,2),(0,4),(1,6),(2,5),(3,1),(3,7),(4,3),(4,5),(5,7),(7,6)],8) => 1

[[1,1,4],[3],[4]] => [4,3,1,2,5] => [4,5,3,2,1] => ([(0,2),(0,4),(1,6),(2,5),(3,1),(3,7),(4,3),(4,5),(5,7),(7,6)],8) => 1

[[1,2,4],[3],[4]] => [4,3,1,2,5] => [4,5,3,2,1] => ([(0,2),(0,4),(1,6),(2,5),(3,1),(3,7),(4,3),(4,5),(5,7),(7,6)],8) => 1

[[2,2,4],[3],[4]] => [4,3,1,2,5] => [4,5,3,2,1] => ([(0,2),(0,4),(1,6),(2,5),(3,1),(3,7),(4,3),(4,5),(5,7),(7,6)],8) => 1

[[1,3],[2],[3],[4]] => [5,3,2,1,4] => [5,4,3,1,2] => ([(0,2),(0,4),(1,6),(2,5),(3,1),(3,7),(4,3),(4,5),(5,7),(7,6)],8) => 1

[[1,4],[2],[3],[4]] => [4,3,2,1,5] => [5,4,3,2,1] => ([(0,4),(2,3),(3,1),(4,2)],5) => 1

[[1,1,1,1,1,3]] => [1,2,3,4,5,6] => [2,3,4,5,6,1] => ([(0,2),(0,5),(1,7),(2,6),(3,4),(3,9),(4,1),(4,8),(5,3),(5,6),(6,9),(8,7),(9,8)],10) => 1

[[1,1,1,1,2,3]] => [1,2,3,4,5,6] => [2,3,4,5,6,1] => ([(0,2),(0,5),(1,7),(2,6),(3,4),(3,9),(4,1),(4,8),(5,3),(5,6),(6,9),(8,7),(9,8)],10) => 1

[[1,1,1,1,3,3]] => [1,2,3,4,5,6] => [2,3,4,5,6,1] => ([(0,2),(0,5),(1,7),(2,6),(3,4),(3,9),(4,1),(4,8),(5,3),(5,6),(6,9),(8,7),(9,8)],10) => 1

[[1,1,1,2,2,3]] => [1,2,3,4,5,6] => [2,3,4,5,6,1] => ([(0,2),(0,5),(1,7),(2,6),(3,4),(3,9),(4,1),(4,8),(5,3),(5,6),(6,9),(8,7),(9,8)],10) => 1

[[1,1,1,2,3,3]] => [1,2,3,4,5,6] => [2,3,4,5,6,1] => ([(0,2),(0,5),(1,7),(2,6),(3,4),(3,9),(4,1),(4,8),(5,3),(5,6),(6,9),(8,7),(9,8)],10) => 1

[[1,1,1,3,3,3]] => [1,2,3,4,5,6] => [2,3,4,5,6,1] => ([(0,2),(0,5),(1,7),(2,6),(3,4),(3,9),(4,1),(4,8),(5,3),(5,6),(6,9),(8,7),(9,8)],10) => 1

[[1,1,2,2,2,3]] => [1,2,3,4,5,6] => [2,3,4,5,6,1] => ([(0,2),(0,5),(1,7),(2,6),(3,4),(3,9),(4,1),(4,8),(5,3),(5,6),(6,9),(8,7),(9,8)],10) => 1

[[1,1,2,2,3,3]] => [1,2,3,4,5,6] => [2,3,4,5,6,1] => ([(0,2),(0,5),(1,7),(2,6),(3,4),(3,9),(4,1),(4,8),(5,3),(5,6),(6,9),(8,7),(9,8)],10) => 1

[[1,1,2,3,3,3]] => [1,2,3,4,5,6] => [2,3,4,5,6,1] => ([(0,2),(0,5),(1,7),(2,6),(3,4),(3,9),(4,1),(4,8),(5,3),(5,6),(6,9),(8,7),(9,8)],10) => 1

[[1,1,3,3,3,3]] => [1,2,3,4,5,6] => [2,3,4,5,6,1] => ([(0,2),(0,5),(1,7),(2,6),(3,4),(3,9),(4,1),(4,8),(5,3),(5,6),(6,9),(8,7),(9,8)],10) => 1

[[1,2,2,2,2,3]] => [1,2,3,4,5,6] => [2,3,4,5,6,1] => ([(0,2),(0,5),(1,7),(2,6),(3,4),(3,9),(4,1),(4,8),(5,3),(5,6),(6,9),(8,7),(9,8)],10) => 1

[[1,2,2,2,3,3]] => [1,2,3,4,5,6] => [2,3,4,5,6,1] => ([(0,2),(0,5),(1,7),(2,6),(3,4),(3,9),(4,1),(4,8),(5,3),(5,6),(6,9),(8,7),(9,8)],10) => 1

[[1,2,2,3,3,3]] => [1,2,3,4,5,6] => [2,3,4,5,6,1] => ([(0,2),(0,5),(1,7),(2,6),(3,4),(3,9),(4,1),(4,8),(5,3),(5,6),(6,9),(8,7),(9,8)],10) => 1

[[1,2,3,3,3,3]] => [1,2,3,4,5,6] => [2,3,4,5,6,1] => ([(0,2),(0,5),(1,7),(2,6),(3,4),(3,9),(4,1),(4,8),(5,3),(5,6),(6,9),(8,7),(9,8)],10) => 1

[[1,3,3,3,3,3]] => [1,2,3,4,5,6] => [2,3,4,5,6,1] => ([(0,2),(0,5),(1,7),(2,6),(3,4),(3,9),(4,1),(4,8),(5,3),(5,6),(6,9),(8,7),(9,8)],10) => 1

[[2,2,2,2,2,3]] => [1,2,3,4,5,6] => [2,3,4,5,6,1] => ([(0,2),(0,5),(1,7),(2,6),(3,4),(3,9),(4,1),(4,8),(5,3),(5,6),(6,9),(8,7),(9,8)],10) => 1

[[2,2,2,2,3,3]] => [1,2,3,4,5,6] => [2,3,4,5,6,1] => ([(0,2),(0,5),(1,7),(2,6),(3,4),(3,9),(4,1),(4,8),(5,3),(5,6),(6,9),(8,7),(9,8)],10) => 1

[[2,2,2,3,3,3]] => [1,2,3,4,5,6] => [2,3,4,5,6,1] => ([(0,2),(0,5),(1,7),(2,6),(3,4),(3,9),(4,1),(4,8),(5,3),(5,6),(6,9),(8,7),(9,8)],10) => 1

[[2,2,3,3,3,3]] => [1,2,3,4,5,6] => [2,3,4,5,6,1] => ([(0,2),(0,5),(1,7),(2,6),(3,4),(3,9),(4,1),(4,8),(5,3),(5,6),(6,9),(8,7),(9,8)],10) => 1

[[2,3,3,3,3,3]] => [1,2,3,4,5,6] => [2,3,4,5,6,1] => ([(0,2),(0,5),(1,7),(2,6),(3,4),(3,9),(4,1),(4,8),(5,3),(5,6),(6,9),(8,7),(9,8)],10) => 1

[[3,3,3,3,3,3]] => [1,2,3,4,5,6] => [2,3,4,5,6,1] => ([(0,2),(0,5),(1,7),(2,6),(3,4),(3,9),(4,1),(4,8),(5,3),(5,6),(6,9),(8,7),(9,8)],10) => 1

[[1,1,1,1,3],[2]] => [5,1,2,3,4,6] => [3,4,5,6,2,1] => ([(0,4),(0,5),(1,9),(2,3),(2,11),(3,8),(4,1),(4,10),(5,2),(5,10),(7,6),(8,6),(9,7),(10,9),(10,11),(11,7),(11,8)],12) => 1

[[1,1,1,1,3],[3]] => [5,1,2,3,4,6] => [3,4,5,6,2,1] => ([(0,4),(0,5),(1,9),(2,3),(2,11),(3,8),(4,1),(4,10),(5,2),(5,10),(7,6),(8,6),(9,7),(10,9),(10,11),(11,7),(11,8)],12) => 1

[[1,1,1,2,3],[3]] => [5,1,2,3,4,6] => [3,4,5,6,2,1] => ([(0,4),(0,5),(1,9),(2,3),(2,11),(3,8),(4,1),(4,10),(5,2),(5,10),(7,6),(8,6),(9,7),(10,9),(10,11),(11,7),(11,8)],12) => 1

[[1,1,2,2,3],[3]] => [5,1,2,3,4,6] => [3,4,5,6,2,1] => ([(0,4),(0,5),(1,9),(2,3),(2,11),(3,8),(4,1),(4,10),(5,2),(5,10),(7,6),(8,6),(9,7),(10,9),(10,11),(11,7),(11,8)],12) => 1

[[1,2,2,2,3],[3]] => [5,1,2,3,4,6] => [3,4,5,6,2,1] => ([(0,4),(0,5),(1,9),(2,3),(2,11),(3,8),(4,1),(4,10),(5,2),(5,10),(7,6),(8,6),(9,7),(10,9),(10,11),(11,7),(11,8)],12) => 1

[[2,2,2,2,3],[3]] => [5,1,2,3,4,6] => [3,4,5,6,2,1] => ([(0,4),(0,5),(1,9),(2,3),(2,11),(3,8),(4,1),(4,10),(5,2),(5,10),(7,6),(8,6),(9,7),(10,9),(10,11),(11,7),(11,8)],12) => 1

[[1,1,1,3],[2],[3]] => [5,4,1,2,3,6] => [4,5,6,3,2,1] => ([(0,4),(0,5),(1,9),(2,3),(2,11),(3,8),(4,1),(4,10),(5,2),(5,10),(7,6),(8,6),(9,7),(10,9),(10,11),(11,7),(11,8)],12) => 1

[[1,8]] => [1,2] => [2,1] => ([(0,1)],2) => 1

[[2,8]] => [1,2] => [2,1] => ([(0,1)],2) => 1

[[3,8]] => [1,2] => [2,1] => ([(0,1)],2) => 1

[[4,8]] => [1,2] => [2,1] => ([(0,1)],2) => 1

[[5,8]] => [1,2] => [2,1] => ([(0,1)],2) => 1

[[6,8]] => [1,2] => [2,1] => ([(0,1)],2) => 1

[[7,8]] => [1,2] => [2,1] => ([(0,1)],2) => 1

[[8,8]] => [1,2] => [2,1] => ([(0,1)],2) => 1

[[1],[8]] => [2,1] => [1,2] => ([(0,1)],2) => 1

[[2],[8]] => [2,1] => [1,2] => ([(0,1)],2) => 1

[[3],[8]] => [2,1] => [1,2] => ([(0,1)],2) => 1

[[4],[8]] => [2,1] => [1,2] => ([(0,1)],2) => 1

[[5],[8]] => [2,1] => [1,2] => ([(0,1)],2) => 1

[[6],[8]] => [2,1] => [1,2] => ([(0,1)],2) => 1

[[7],[8]] => [2,1] => [1,2] => ([(0,1)],2) => 1

[[1,1,7]] => [1,2,3] => [2,3,1] => ([(0,1),(0,2),(1,3),(2,3)],4) => 1

[[1,2,7]] => [1,2,3] => [2,3,1] => ([(0,1),(0,2),(1,3),(2,3)],4) => 1

[[1,3,7]] => [1,2,3] => [2,3,1] => ([(0,1),(0,2),(1,3),(2,3)],4) => 1

[[1,4,7]] => [1,2,3] => [2,3,1] => ([(0,1),(0,2),(1,3),(2,3)],4) => 1

[[1,5,7]] => [1,2,3] => [2,3,1] => ([(0,1),(0,2),(1,3),(2,3)],4) => 1

[[1,6,7]] => [1,2,3] => [2,3,1] => ([(0,1),(0,2),(1,3),(2,3)],4) => 1

[[1,7,7]] => [1,2,3] => [2,3,1] => ([(0,1),(0,2),(1,3),(2,3)],4) => 1

[[2,2,7]] => [1,2,3] => [2,3,1] => ([(0,1),(0,2),(1,3),(2,3)],4) => 1

[[2,3,7]] => [1,2,3] => [2,3,1] => ([(0,1),(0,2),(1,3),(2,3)],4) => 1

[[2,4,7]] => [1,2,3] => [2,3,1] => ([(0,1),(0,2),(1,3),(2,3)],4) => 1

[[2,5,7]] => [1,2,3] => [2,3,1] => ([(0,1),(0,2),(1,3),(2,3)],4) => 1

[[2,6,7]] => [1,2,3] => [2,3,1] => ([(0,1),(0,2),(1,3),(2,3)],4) => 1

[[2,7,7]] => [1,2,3] => [2,3,1] => ([(0,1),(0,2),(1,3),(2,3)],4) => 1

[[3,3,7]] => [1,2,3] => [2,3,1] => ([(0,1),(0,2),(1,3),(2,3)],4) => 1

[[3,4,7]] => [1,2,3] => [2,3,1] => ([(0,1),(0,2),(1,3),(2,3)],4) => 1

[[3,5,7]] => [1,2,3] => [2,3,1] => ([(0,1),(0,2),(1,3),(2,3)],4) => 1

[[3,6,7]] => [1,2,3] => [2,3,1] => ([(0,1),(0,2),(1,3),(2,3)],4) => 1

[[3,7,7]] => [1,2,3] => [2,3,1] => ([(0,1),(0,2),(1,3),(2,3)],4) => 1

[[4,4,7]] => [1,2,3] => [2,3,1] => ([(0,1),(0,2),(1,3),(2,3)],4) => 1

[[4,5,7]] => [1,2,3] => [2,3,1] => ([(0,1),(0,2),(1,3),(2,3)],4) => 1

[[4,6,7]] => [1,2,3] => [2,3,1] => ([(0,1),(0,2),(1,3),(2,3)],4) => 1

[[4,7,7]] => [1,2,3] => [2,3,1] => ([(0,1),(0,2),(1,3),(2,3)],4) => 1

[[5,5,7]] => [1,2,3] => [2,3,1] => ([(0,1),(0,2),(1,3),(2,3)],4) => 1

[[5,6,7]] => [1,2,3] => [2,3,1] => ([(0,1),(0,2),(1,3),(2,3)],4) => 1

[[5,7,7]] => [1,2,3] => [2,3,1] => ([(0,1),(0,2),(1,3),(2,3)],4) => 1

[[6,6,7]] => [1,2,3] => [2,3,1] => ([(0,1),(0,2),(1,3),(2,3)],4) => 1

[[6,7,7]] => [1,2,3] => [2,3,1] => ([(0,1),(0,2),(1,3),(2,3)],4) => 1

[[7,7,7]] => [1,2,3] => [2,3,1] => ([(0,1),(0,2),(1,3),(2,3)],4) => 1

[[1,1],[7]] => [3,1,2] => [3,1,2] => ([(0,1),(0,2),(1,3),(2,3)],4) => 1

[[1,2],[7]] => [3,1,2] => [3,1,2] => ([(0,1),(0,2),(1,3),(2,3)],4) => 1

[[1,7],[2]] => [2,1,3] => [3,2,1] => ([(0,2),(2,1)],3) => 1

[[1,3],[7]] => [3,1,2] => [3,1,2] => ([(0,1),(0,2),(1,3),(2,3)],4) => 1

[[1,7],[3]] => [2,1,3] => [3,2,1] => ([(0,2),(2,1)],3) => 1

[[1,4],[7]] => [3,1,2] => [3,1,2] => ([(0,1),(0,2),(1,3),(2,3)],4) => 1

[[1,7],[4]] => [2,1,3] => [3,2,1] => ([(0,2),(2,1)],3) => 1

[[1,5],[7]] => [3,1,2] => [3,1,2] => ([(0,1),(0,2),(1,3),(2,3)],4) => 1

[[1,7],[5]] => [2,1,3] => [3,2,1] => ([(0,2),(2,1)],3) => 1

[[1,6],[7]] => [3,1,2] => [3,1,2] => ([(0,1),(0,2),(1,3),(2,3)],4) => 1

[[1,7],[6]] => [2,1,3] => [3,2,1] => ([(0,2),(2,1)],3) => 1

[[1,7],[7]] => [2,1,3] => [3,2,1] => ([(0,2),(2,1)],3) => 1

[[2,2],[7]] => [3,1,2] => [3,1,2] => ([(0,1),(0,2),(1,3),(2,3)],4) => 1

[[2,3],[7]] => [3,1,2] => [3,1,2] => ([(0,1),(0,2),(1,3),(2,3)],4) => 1

[[2,7],[3]] => [2,1,3] => [3,2,1] => ([(0,2),(2,1)],3) => 1

[[2,4],[7]] => [3,1,2] => [3,1,2] => ([(0,1),(0,2),(1,3),(2,3)],4) => 1

[[2,7],[4]] => [2,1,3] => [3,2,1] => ([(0,2),(2,1)],3) => 1

[[2,5],[7]] => [3,1,2] => [3,1,2] => ([(0,1),(0,2),(1,3),(2,3)],4) => 1

[[2,7],[5]] => [2,1,3] => [3,2,1] => ([(0,2),(2,1)],3) => 1

[[2,6],[7]] => [3,1,2] => [3,1,2] => ([(0,1),(0,2),(1,3),(2,3)],4) => 1

[[2,7],[6]] => [2,1,3] => [3,2,1] => ([(0,2),(2,1)],3) => 1

[[2,7],[7]] => [2,1,3] => [3,2,1] => ([(0,2),(2,1)],3) => 1

[[3,3],[7]] => [3,1,2] => [3,1,2] => ([(0,1),(0,2),(1,3),(2,3)],4) => 1

[[3,4],[7]] => [3,1,2] => [3,1,2] => ([(0,1),(0,2),(1,3),(2,3)],4) => 1

[[3,7],[4]] => [2,1,3] => [3,2,1] => ([(0,2),(2,1)],3) => 1

[[3,5],[7]] => [3,1,2] => [3,1,2] => ([(0,1),(0,2),(1,3),(2,3)],4) => 1

[[3,7],[5]] => [2,1,3] => [3,2,1] => ([(0,2),(2,1)],3) => 1

[[3,6],[7]] => [3,1,2] => [3,1,2] => ([(0,1),(0,2),(1,3),(2,3)],4) => 1

[[3,7],[6]] => [2,1,3] => [3,2,1] => ([(0,2),(2,1)],3) => 1

[[3,7],[7]] => [2,1,3] => [3,2,1] => ([(0,2),(2,1)],3) => 1

[[4,4],[7]] => [3,1,2] => [3,1,2] => ([(0,1),(0,2),(1,3),(2,3)],4) => 1

[[4,5],[7]] => [3,1,2] => [3,1,2] => ([(0,1),(0,2),(1,3),(2,3)],4) => 1

[[4,7],[5]] => [2,1,3] => [3,2,1] => ([(0,2),(2,1)],3) => 1

[[4,6],[7]] => [3,1,2] => [3,1,2] => ([(0,1),(0,2),(1,3),(2,3)],4) => 1

[[4,7],[6]] => [2,1,3] => [3,2,1] => ([(0,2),(2,1)],3) => 1

[[4,7],[7]] => [2,1,3] => [3,2,1] => ([(0,2),(2,1)],3) => 1

[[5,5],[7]] => [3,1,2] => [3,1,2] => ([(0,1),(0,2),(1,3),(2,3)],4) => 1

[[5,6],[7]] => [3,1,2] => [3,1,2] => ([(0,1),(0,2),(1,3),(2,3)],4) => 1

[[5,7],[6]] => [2,1,3] => [3,2,1] => ([(0,2),(2,1)],3) => 1

[[5,7],[7]] => [2,1,3] => [3,2,1] => ([(0,2),(2,1)],3) => 1

[[6,6],[7]] => [3,1,2] => [3,1,2] => ([(0,1),(0,2),(1,3),(2,3)],4) => 1

[[6,7],[7]] => [2,1,3] => [3,2,1] => ([(0,2),(2,1)],3) => 1

[[1],[2],[7]] => [3,2,1] => [1,3,2] => ([(0,1),(0,2),(1,3),(2,3)],4) => 1

[[1],[3],[7]] => [3,2,1] => [1,3,2] => ([(0,1),(0,2),(1,3),(2,3)],4) => 1

[[1],[4],[7]] => [3,2,1] => [1,3,2] => ([(0,1),(0,2),(1,3),(2,3)],4) => 1

[[1],[5],[7]] => [3,2,1] => [1,3,2] => ([(0,1),(0,2),(1,3),(2,3)],4) => 1

[[1],[6],[7]] => [3,2,1] => [1,3,2] => ([(0,1),(0,2),(1,3),(2,3)],4) => 1

[[2],[3],[7]] => [3,2,1] => [1,3,2] => ([(0,1),(0,2),(1,3),(2,3)],4) => 1

[[2],[4],[7]] => [3,2,1] => [1,3,2] => ([(0,1),(0,2),(1,3),(2,3)],4) => 1

[[2],[5],[7]] => [3,2,1] => [1,3,2] => ([(0,1),(0,2),(1,3),(2,3)],4) => 1

[[2],[6],[7]] => [3,2,1] => [1,3,2] => ([(0,1),(0,2),(1,3),(2,3)],4) => 1

[[3],[4],[7]] => [3,2,1] => [1,3,2] => ([(0,1),(0,2),(1,3),(2,3)],4) => 1

[[3],[5],[7]] => [3,2,1] => [1,3,2] => ([(0,1),(0,2),(1,3),(2,3)],4) => 1

[[3],[6],[7]] => [3,2,1] => [1,3,2] => ([(0,1),(0,2),(1,3),(2,3)],4) => 1

[[4],[5],[7]] => [3,2,1] => [1,3,2] => ([(0,1),(0,2),(1,3),(2,3)],4) => 1

[[4],[6],[7]] => [3,2,1] => [1,3,2] => ([(0,1),(0,2),(1,3),(2,3)],4) => 1

[[5],[6],[7]] => [3,2,1] => [1,3,2] => ([(0,1),(0,2),(1,3),(2,3)],4) => 1

[[1,1,1,6]] => [1,2,3,4] => [2,3,4,1] => ([(0,2),(0,3),(1,5),(2,4),(3,1),(3,4),(4,5)],6) => 1

[[1,1,2,6]] => [1,2,3,4] => [2,3,4,1] => ([(0,2),(0,3),(1,5),(2,4),(3,1),(3,4),(4,5)],6) => 1

[[1,1,3,6]] => [1,2,3,4] => [2,3,4,1] => ([(0,2),(0,3),(1,5),(2,4),(3,1),(3,4),(4,5)],6) => 1

[[1,1,4,6]] => [1,2,3,4] => [2,3,4,1] => ([(0,2),(0,3),(1,5),(2,4),(3,1),(3,4),(4,5)],6) => 1

[[1,1,5,6]] => [1,2,3,4] => [2,3,4,1] => ([(0,2),(0,3),(1,5),(2,4),(3,1),(3,4),(4,5)],6) => 1

[[1,1,6,6]] => [1,2,3,4] => [2,3,4,1] => ([(0,2),(0,3),(1,5),(2,4),(3,1),(3,4),(4,5)],6) => 1

[[1,2,2,6]] => [1,2,3,4] => [2,3,4,1] => ([(0,2),(0,3),(1,5),(2,4),(3,1),(3,4),(4,5)],6) => 1

[[1,2,3,6]] => [1,2,3,4] => [2,3,4,1] => ([(0,2),(0,3),(1,5),(2,4),(3,1),(3,4),(4,5)],6) => 1

[[1,2,4,6]] => [1,2,3,4] => [2,3,4,1] => ([(0,2),(0,3),(1,5),(2,4),(3,1),(3,4),(4,5)],6) => 1

[[1,2,5,6]] => [1,2,3,4] => [2,3,4,1] => ([(0,2),(0,3),(1,5),(2,4),(3,1),(3,4),(4,5)],6) => 1

[[1,2,6,6]] => [1,2,3,4] => [2,3,4,1] => ([(0,2),(0,3),(1,5),(2,4),(3,1),(3,4),(4,5)],6) => 1

[[1,3,3,6]] => [1,2,3,4] => [2,3,4,1] => ([(0,2),(0,3),(1,5),(2,4),(3,1),(3,4),(4,5)],6) => 1

[[1,3,4,6]] => [1,2,3,4] => [2,3,4,1] => ([(0,2),(0,3),(1,5),(2,4),(3,1),(3,4),(4,5)],6) => 1

[[1,3,5,6]] => [1,2,3,4] => [2,3,4,1] => ([(0,2),(0,3),(1,5),(2,4),(3,1),(3,4),(4,5)],6) => 1

[[1,3,6,6]] => [1,2,3,4] => [2,3,4,1] => ([(0,2),(0,3),(1,5),(2,4),(3,1),(3,4),(4,5)],6) => 1

[[1,4,4,6]] => [1,2,3,4] => [2,3,4,1] => ([(0,2),(0,3),(1,5),(2,4),(3,1),(3,4),(4,5)],6) => 1

[[1,4,5,6]] => [1,2,3,4] => [2,3,4,1] => ([(0,2),(0,3),(1,5),(2,4),(3,1),(3,4),(4,5)],6) => 1

[[1,4,6,6]] => [1,2,3,4] => [2,3,4,1] => ([(0,2),(0,3),(1,5),(2,4),(3,1),(3,4),(4,5)],6) => 1

[[1,5,5,6]] => [1,2,3,4] => [2,3,4,1] => ([(0,2),(0,3),(1,5),(2,4),(3,1),(3,4),(4,5)],6) => 1

[[1,5,6,6]] => [1,2,3,4] => [2,3,4,1] => ([(0,2),(0,3),(1,5),(2,4),(3,1),(3,4),(4,5)],6) => 1

[[1,6,6,6]] => [1,2,3,4] => [2,3,4,1] => ([(0,2),(0,3),(1,5),(2,4),(3,1),(3,4),(4,5)],6) => 1

[[2,2,2,6]] => [1,2,3,4] => [2,3,4,1] => ([(0,2),(0,3),(1,5),(2,4),(3,1),(3,4),(4,5)],6) => 1

[[2,2,3,6]] => [1,2,3,4] => [2,3,4,1] => ([(0,2),(0,3),(1,5),(2,4),(3,1),(3,4),(4,5)],6) => 1

[[2,2,4,6]] => [1,2,3,4] => [2,3,4,1] => ([(0,2),(0,3),(1,5),(2,4),(3,1),(3,4),(4,5)],6) => 1

[[2,2,5,6]] => [1,2,3,4] => [2,3,4,1] => ([(0,2),(0,3),(1,5),(2,4),(3,1),(3,4),(4,5)],6) => 1

[[2,2,6,6]] => [1,2,3,4] => [2,3,4,1] => ([(0,2),(0,3),(1,5),(2,4),(3,1),(3,4),(4,5)],6) => 1

[[2,3,3,6]] => [1,2,3,4] => [2,3,4,1] => ([(0,2),(0,3),(1,5),(2,4),(3,1),(3,4),(4,5)],6) => 1

[[2,3,4,6]] => [1,2,3,4] => [2,3,4,1] => ([(0,2),(0,3),(1,5),(2,4),(3,1),(3,4),(4,5)],6) => 1

[[2,3,5,6]] => [1,2,3,4] => [2,3,4,1] => ([(0,2),(0,3),(1,5),(2,4),(3,1),(3,4),(4,5)],6) => 1

[[2,3,6,6]] => [1,2,3,4] => [2,3,4,1] => ([(0,2),(0,3),(1,5),(2,4),(3,1),(3,4),(4,5)],6) => 1

[[2,4,4,6]] => [1,2,3,4] => [2,3,4,1] => ([(0,2),(0,3),(1,5),(2,4),(3,1),(3,4),(4,5)],6) => 1

[[2,4,5,6]] => [1,2,3,4] => [2,3,4,1] => ([(0,2),(0,3),(1,5),(2,4),(3,1),(3,4),(4,5)],6) => 1

[[2,4,6,6]] => [1,2,3,4] => [2,3,4,1] => ([(0,2),(0,3),(1,5),(2,4),(3,1),(3,4),(4,5)],6) => 1

[[2,5,5,6]] => [1,2,3,4] => [2,3,4,1] => ([(0,2),(0,3),(1,5),(2,4),(3,1),(3,4),(4,5)],6) => 1

[[2,5,6,6]] => [1,2,3,4] => [2,3,4,1] => ([(0,2),(0,3),(1,5),(2,4),(3,1),(3,4),(4,5)],6) => 1

[[2,6,6,6]] => [1,2,3,4] => [2,3,4,1] => ([(0,2),(0,3),(1,5),(2,4),(3,1),(3,4),(4,5)],6) => 1

[[3,3,3,6]] => [1,2,3,4] => [2,3,4,1] => ([(0,2),(0,3),(1,5),(2,4),(3,1),(3,4),(4,5)],6) => 1

[[3,3,4,6]] => [1,2,3,4] => [2,3,4,1] => ([(0,2),(0,3),(1,5),(2,4),(3,1),(3,4),(4,5)],6) => 1

[[3,3,5,6]] => [1,2,3,4] => [2,3,4,1] => ([(0,2),(0,3),(1,5),(2,4),(3,1),(3,4),(4,5)],6) => 1

[[3,3,6,6]] => [1,2,3,4] => [2,3,4,1] => ([(0,2),(0,3),(1,5),(2,4),(3,1),(3,4),(4,5)],6) => 1

[[3,4,4,6]] => [1,2,3,4] => [2,3,4,1] => ([(0,2),(0,3),(1,5),(2,4),(3,1),(3,4),(4,5)],6) => 1

[[3,4,5,6]] => [1,2,3,4] => [2,3,4,1] => ([(0,2),(0,3),(1,5),(2,4),(3,1),(3,4),(4,5)],6) => 1

[[3,4,6,6]] => [1,2,3,4] => [2,3,4,1] => ([(0,2),(0,3),(1,5),(2,4),(3,1),(3,4),(4,5)],6) => 1

[[3,5,5,6]] => [1,2,3,4] => [2,3,4,1] => ([(0,2),(0,3),(1,5),(2,4),(3,1),(3,4),(4,5)],6) => 1

[[3,5,6,6]] => [1,2,3,4] => [2,3,4,1] => ([(0,2),(0,3),(1,5),(2,4),(3,1),(3,4),(4,5)],6) => 1

[[3,6,6,6]] => [1,2,3,4] => [2,3,4,1] => ([(0,2),(0,3),(1,5),(2,4),(3,1),(3,4),(4,5)],6) => 1

[[4,4,4,6]] => [1,2,3,4] => [2,3,4,1] => ([(0,2),(0,3),(1,5),(2,4),(3,1),(3,4),(4,5)],6) => 1

[[4,4,5,6]] => [1,2,3,4] => [2,3,4,1] => ([(0,2),(0,3),(1,5),(2,4),(3,1),(3,4),(4,5)],6) => 1

[[4,4,6,6]] => [1,2,3,4] => [2,3,4,1] => ([(0,2),(0,3),(1,5),(2,4),(3,1),(3,4),(4,5)],6) => 1

[[4,5,5,6]] => [1,2,3,4] => [2,3,4,1] => ([(0,2),(0,3),(1,5),(2,4),(3,1),(3,4),(4,5)],6) => 1

[[4,5,6,6]] => [1,2,3,4] => [2,3,4,1] => ([(0,2),(0,3),(1,5),(2,4),(3,1),(3,4),(4,5)],6) => 1

[[4,6,6,6]] => [1,2,3,4] => [2,3,4,1] => ([(0,2),(0,3),(1,5),(2,4),(3,1),(3,4),(4,5)],6) => 1

[[5,5,5,6]] => [1,2,3,4] => [2,3,4,1] => ([(0,2),(0,3),(1,5),(2,4),(3,1),(3,4),(4,5)],6) => 1

[[5,5,6,6]] => [1,2,3,4] => [2,3,4,1] => ([(0,2),(0,3),(1,5),(2,4),(3,1),(3,4),(4,5)],6) => 1

[[5,6,6,6]] => [1,2,3,4] => [2,3,4,1] => ([(0,2),(0,3),(1,5),(2,4),(3,1),(3,4),(4,5)],6) => 1

[[6,6,6,6]] => [1,2,3,4] => [2,3,4,1] => ([(0,2),(0,3),(1,5),(2,4),(3,1),(3,4),(4,5)],6) => 1

[[1,1,1],[6]] => [4,1,2,3] => [3,4,1,2] => ([(0,1),(0,2),(1,4),(1,5),(2,4),(2,5),(4,3),(5,3)],6) => 1

[[1,1,2],[6]] => [4,1,2,3] => [3,4,1,2] => ([(0,1),(0,2),(1,4),(1,5),(2,4),(2,5),(4,3),(5,3)],6) => 1

[[1,1,6],[2]] => [3,1,2,4] => [3,4,2,1] => ([(0,2),(0,3),(1,5),(2,4),(3,1),(3,4),(4,5)],6) => 1

[[1,1,3],[6]] => [4,1,2,3] => [3,4,1,2] => ([(0,1),(0,2),(1,4),(1,5),(2,4),(2,5),(4,3),(5,3)],6) => 1

[[1,1,6],[3]] => [3,1,2,4] => [3,4,2,1] => ([(0,2),(0,3),(1,5),(2,4),(3,1),(3,4),(4,5)],6) => 1

[[1,1,4],[6]] => [4,1,2,3] => [3,4,1,2] => ([(0,1),(0,2),(1,4),(1,5),(2,4),(2,5),(4,3),(5,3)],6) => 1

[[1,1,6],[4]] => [3,1,2,4] => [3,4,2,1] => ([(0,2),(0,3),(1,5),(2,4),(3,1),(3,4),(4,5)],6) => 1

[[1,1,5],[6]] => [4,1,2,3] => [3,4,1,2] => ([(0,1),(0,2),(1,4),(1,5),(2,4),(2,5),(4,3),(5,3)],6) => 1

[[1,1,6],[5]] => [3,1,2,4] => [3,4,2,1] => ([(0,2),(0,3),(1,5),(2,4),(3,1),(3,4),(4,5)],6) => 1

[[1,1,6],[6]] => [3,1,2,4] => [3,4,2,1] => ([(0,2),(0,3),(1,5),(2,4),(3,1),(3,4),(4,5)],6) => 1

[[1,2,2],[6]] => [4,1,2,3] => [3,4,1,2] => ([(0,1),(0,2),(1,4),(1,5),(2,4),(2,5),(4,3),(5,3)],6) => 1

[[1,2,6],[2]] => [2,1,3,4] => [3,2,4,1] => ([(0,1),(0,2),(0,3),(1,6),(2,4),(2,6),(3,4),(3,6),(4,5),(6,5)],7) => 1

[[1,2,3],[6]] => [4,1,2,3] => [3,4,1,2] => ([(0,1),(0,2),(1,4),(1,5),(2,4),(2,5),(4,3),(5,3)],6) => 1

[[1,2,6],[3]] => [3,1,2,4] => [3,4,2,1] => ([(0,2),(0,3),(1,5),(2,4),(3,1),(3,4),(4,5)],6) => 1

[[1,3,6],[2]] => [2,1,3,4] => [3,2,4,1] => ([(0,1),(0,2),(0,3),(1,6),(2,4),(2,6),(3,4),(3,6),(4,5),(6,5)],7) => 1

[[1,2,4],[6]] => [4,1,2,3] => [3,4,1,2] => ([(0,1),(0,2),(1,4),(1,5),(2,4),(2,5),(4,3),(5,3)],6) => 1

[[1,2,6],[4]] => [3,1,2,4] => [3,4,2,1] => ([(0,2),(0,3),(1,5),(2,4),(3,1),(3,4),(4,5)],6) => 1

[[1,4,6],[2]] => [2,1,3,4] => [3,2,4,1] => ([(0,1),(0,2),(0,3),(1,6),(2,4),(2,6),(3,4),(3,6),(4,5),(6,5)],7) => 1

[[1,2,5],[6]] => [4,1,2,3] => [3,4,1,2] => ([(0,1),(0,2),(1,4),(1,5),(2,4),(2,5),(4,3),(5,3)],6) => 1

[[1,2,6],[5]] => [3,1,2,4] => [3,4,2,1] => ([(0,2),(0,3),(1,5),(2,4),(3,1),(3,4),(4,5)],6) => 1

[[1,5,6],[2]] => [2,1,3,4] => [3,2,4,1] => ([(0,1),(0,2),(0,3),(1,6),(2,4),(2,6),(3,4),(3,6),(4,5),(6,5)],7) => 1

[[1,2,6],[6]] => [3,1,2,4] => [3,4,2,1] => ([(0,2),(0,3),(1,5),(2,4),(3,1),(3,4),(4,5)],6) => 1

[[1,6,6],[2]] => [2,1,3,4] => [3,2,4,1] => ([(0,1),(0,2),(0,3),(1,6),(2,4),(2,6),(3,4),(3,6),(4,5),(6,5)],7) => 1

[[1,3,3],[6]] => [4,1,2,3] => [3,4,1,2] => ([(0,1),(0,2),(1,4),(1,5),(2,4),(2,5),(4,3),(5,3)],6) => 1

[[1,3,6],[3]] => [2,1,3,4] => [3,2,4,1] => ([(0,1),(0,2),(0,3),(1,6),(2,4),(2,6),(3,4),(3,6),(4,5),(6,5)],7) => 1

[[1,3,4],[6]] => [4,1,2,3] => [3,4,1,2] => ([(0,1),(0,2),(1,4),(1,5),(2,4),(2,5),(4,3),(5,3)],6) => 1

[[1,3,6],[4]] => [3,1,2,4] => [3,4,2,1] => ([(0,2),(0,3),(1,5),(2,4),(3,1),(3,4),(4,5)],6) => 1

[[1,4,6],[3]] => [2,1,3,4] => [3,2,4,1] => ([(0,1),(0,2),(0,3),(1,6),(2,4),(2,6),(3,4),(3,6),(4,5),(6,5)],7) => 1

[[1,3,5],[6]] => [4,1,2,3] => [3,4,1,2] => ([(0,1),(0,2),(1,4),(1,5),(2,4),(2,5),(4,3),(5,3)],6) => 1

[[1,3,6],[5]] => [3,1,2,4] => [3,4,2,1] => ([(0,2),(0,3),(1,5),(2,4),(3,1),(3,4),(4,5)],6) => 1

[[1,5,6],[3]] => [2,1,3,4] => [3,2,4,1] => ([(0,1),(0,2),(0,3),(1,6),(2,4),(2,6),(3,4),(3,6),(4,5),(6,5)],7) => 1

[[1,3,6],[6]] => [3,1,2,4] => [3,4,2,1] => ([(0,2),(0,3),(1,5),(2,4),(3,1),(3,4),(4,5)],6) => 1

[[1,6,6],[3]] => [2,1,3,4] => [3,2,4,1] => ([(0,1),(0,2),(0,3),(1,6),(2,4),(2,6),(3,4),(3,6),(4,5),(6,5)],7) => 1

[[1,4,4],[6]] => [4,1,2,3] => [3,4,1,2] => ([(0,1),(0,2),(1,4),(1,5),(2,4),(2,5),(4,3),(5,3)],6) => 1

[[1,4,6],[4]] => [2,1,3,4] => [3,2,4,1] => ([(0,1),(0,2),(0,3),(1,6),(2,4),(2,6),(3,4),(3,6),(4,5),(6,5)],7) => 1

[[1,4,5],[6]] => [4,1,2,3] => [3,4,1,2] => ([(0,1),(0,2),(1,4),(1,5),(2,4),(2,5),(4,3),(5,3)],6) => 1

[[1,4,6],[5]] => [3,1,2,4] => [3,4,2,1] => ([(0,2),(0,3),(1,5),(2,4),(3,1),(3,4),(4,5)],6) => 1

[[1,5,6],[4]] => [2,1,3,4] => [3,2,4,1] => ([(0,1),(0,2),(0,3),(1,6),(2,4),(2,6),(3,4),(3,6),(4,5),(6,5)],7) => 1

[[1,4,6],[6]] => [3,1,2,4] => [3,4,2,1] => ([(0,2),(0,3),(1,5),(2,4),(3,1),(3,4),(4,5)],6) => 1

[[1,6,6],[4]] => [2,1,3,4] => [3,2,4,1] => ([(0,1),(0,2),(0,3),(1,6),(2,4),(2,6),(3,4),(3,6),(4,5),(6,5)],7) => 1

[[1,5,5],[6]] => [4,1,2,3] => [3,4,1,2] => ([(0,1),(0,2),(1,4),(1,5),(2,4),(2,5),(4,3),(5,3)],6) => 1

[[1,5,6],[5]] => [2,1,3,4] => [3,2,4,1] => ([(0,1),(0,2),(0,3),(1,6),(2,4),(2,6),(3,4),(3,6),(4,5),(6,5)],7) => 1

[[1,5,6],[6]] => [3,1,2,4] => [3,4,2,1] => ([(0,2),(0,3),(1,5),(2,4),(3,1),(3,4),(4,5)],6) => 1

[[1,6,6],[5]] => [2,1,3,4] => [3,2,4,1] => ([(0,1),(0,2),(0,3),(1,6),(2,4),(2,6),(3,4),(3,6),(4,5),(6,5)],7) => 1

[[1,6,6],[6]] => [2,1,3,4] => [3,2,4,1] => ([(0,1),(0,2),(0,3),(1,6),(2,4),(2,6),(3,4),(3,6),(4,5),(6,5)],7) => 1

[[2,2,2],[6]] => [4,1,2,3] => [3,4,1,2] => ([(0,1),(0,2),(1,4),(1,5),(2,4),(2,5),(4,3),(5,3)],6) => 1

[[2,2,3],[6]] => [4,1,2,3] => [3,4,1,2] => ([(0,1),(0,2),(1,4),(1,5),(2,4),(2,5),(4,3),(5,3)],6) => 1

[[2,2,6],[3]] => [3,1,2,4] => [3,4,2,1] => ([(0,2),(0,3),(1,5),(2,4),(3,1),(3,4),(4,5)],6) => 1

[[2,2,4],[6]] => [4,1,2,3] => [3,4,1,2] => ([(0,1),(0,2),(1,4),(1,5),(2,4),(2,5),(4,3),(5,3)],6) => 1

[[2,2,6],[4]] => [3,1,2,4] => [3,4,2,1] => ([(0,2),(0,3),(1,5),(2,4),(3,1),(3,4),(4,5)],6) => 1

[[2,2,5],[6]] => [4,1,2,3] => [3,4,1,2] => ([(0,1),(0,2),(1,4),(1,5),(2,4),(2,5),(4,3),(5,3)],6) => 1

[[2,2,6],[5]] => [3,1,2,4] => [3,4,2,1] => ([(0,2),(0,3),(1,5),(2,4),(3,1),(3,4),(4,5)],6) => 1

[[2,2,6],[6]] => [3,1,2,4] => [3,4,2,1] => ([(0,2),(0,3),(1,5),(2,4),(3,1),(3,4),(4,5)],6) => 1

[[2,3,3],[6]] => [4,1,2,3] => [3,4,1,2] => ([(0,1),(0,2),(1,4),(1,5),(2,4),(2,5),(4,3),(5,3)],6) => 1

[[2,3,6],[3]] => [2,1,3,4] => [3,2,4,1] => ([(0,1),(0,2),(0,3),(1,6),(2,4),(2,6),(3,4),(3,6),(4,5),(6,5)],7) => 1

[[2,3,4],[6]] => [4,1,2,3] => [3,4,1,2] => ([(0,1),(0,2),(1,4),(1,5),(2,4),(2,5),(4,3),(5,3)],6) => 1

[[2,3,6],[4]] => [3,1,2,4] => [3,4,2,1] => ([(0,2),(0,3),(1,5),(2,4),(3,1),(3,4),(4,5)],6) => 1

[[2,4,6],[3]] => [2,1,3,4] => [3,2,4,1] => ([(0,1),(0,2),(0,3),(1,6),(2,4),(2,6),(3,4),(3,6),(4,5),(6,5)],7) => 1

[[2,3,5],[6]] => [4,1,2,3] => [3,4,1,2] => ([(0,1),(0,2),(1,4),(1,5),(2,4),(2,5),(4,3),(5,3)],6) => 1

[[2,3,6],[5]] => [3,1,2,4] => [3,4,2,1] => ([(0,2),(0,3),(1,5),(2,4),(3,1),(3,4),(4,5)],6) => 1

[[2,5,6],[3]] => [2,1,3,4] => [3,2,4,1] => ([(0,1),(0,2),(0,3),(1,6),(2,4),(2,6),(3,4),(3,6),(4,5),(6,5)],7) => 1

[[2,3,6],[6]] => [3,1,2,4] => [3,4,2,1] => ([(0,2),(0,3),(1,5),(2,4),(3,1),(3,4),(4,5)],6) => 1

[[2,6,6],[3]] => [2,1,3,4] => [3,2,4,1] => ([(0,1),(0,2),(0,3),(1,6),(2,4),(2,6),(3,4),(3,6),(4,5),(6,5)],7) => 1

[[2,4,4],[6]] => [4,1,2,3] => [3,4,1,2] => ([(0,1),(0,2),(1,4),(1,5),(2,4),(2,5),(4,3),(5,3)],6) => 1

[[2,4,6],[4]] => [2,1,3,4] => [3,2,4,1] => ([(0,1),(0,2),(0,3),(1,6),(2,4),(2,6),(3,4),(3,6),(4,5),(6,5)],7) => 1

[[2,4,5],[6]] => [4,1,2,3] => [3,4,1,2] => ([(0,1),(0,2),(1,4),(1,5),(2,4),(2,5),(4,3),(5,3)],6) => 1

[[2,4,6],[5]] => [3,1,2,4] => [3,4,2,1] => ([(0,2),(0,3),(1,5),(2,4),(3,1),(3,4),(4,5)],6) => 1

[[2,5,6],[4]] => [2,1,3,4] => [3,2,4,1] => ([(0,1),(0,2),(0,3),(1,6),(2,4),(2,6),(3,4),(3,6),(4,5),(6,5)],7) => 1

[[2,4,6],[6]] => [3,1,2,4] => [3,4,2,1] => ([(0,2),(0,3),(1,5),(2,4),(3,1),(3,4),(4,5)],6) => 1

[[2,6,6],[4]] => [2,1,3,4] => [3,2,4,1] => ([(0,1),(0,2),(0,3),(1,6),(2,4),(2,6),(3,4),(3,6),(4,5),(6,5)],7) => 1

[[2,5,5],[6]] => [4,1,2,3] => [3,4,1,2] => ([(0,1),(0,2),(1,4),(1,5),(2,4),(2,5),(4,3),(5,3)],6) => 1

[[2,5,6],[5]] => [2,1,3,4] => [3,2,4,1] => ([(0,1),(0,2),(0,3),(1,6),(2,4),(2,6),(3,4),(3,6),(4,5),(6,5)],7) => 1

[[2,5,6],[6]] => [3,1,2,4] => [3,4,2,1] => ([(0,2),(0,3),(1,5),(2,4),(3,1),(3,4),(4,5)],6) => 1

[[2,6,6],[5]] => [2,1,3,4] => [3,2,4,1] => ([(0,1),(0,2),(0,3),(1,6),(2,4),(2,6),(3,4),(3,6),(4,5),(6,5)],7) => 1

[[2,6,6],[6]] => [2,1,3,4] => [3,2,4,1] => ([(0,1),(0,2),(0,3),(1,6),(2,4),(2,6),(3,4),(3,6),(4,5),(6,5)],7) => 1

[[3,3,3],[6]] => [4,1,2,3] => [3,4,1,2] => ([(0,1),(0,2),(1,4),(1,5),(2,4),(2,5),(4,3),(5,3)],6) => 1

[[3,3,4],[6]] => [4,1,2,3] => [3,4,1,2] => ([(0,1),(0,2),(1,4),(1,5),(2,4),(2,5),(4,3),(5,3)],6) => 1

[[3,3,6],[4]] => [3,1,2,4] => [3,4,2,1] => ([(0,2),(0,3),(1,5),(2,4),(3,1),(3,4),(4,5)],6) => 1

[[3,3,5],[6]] => [4,1,2,3] => [3,4,1,2] => ([(0,1),(0,2),(1,4),(1,5),(2,4),(2,5),(4,3),(5,3)],6) => 1

[[3,3,6],[5]] => [3,1,2,4] => [3,4,2,1] => ([(0,2),(0,3),(1,5),(2,4),(3,1),(3,4),(4,5)],6) => 1

[[3,3,6],[6]] => [3,1,2,4] => [3,4,2,1] => ([(0,2),(0,3),(1,5),(2,4),(3,1),(3,4),(4,5)],6) => 1

[[3,4,4],[6]] => [4,1,2,3] => [3,4,1,2] => ([(0,1),(0,2),(1,4),(1,5),(2,4),(2,5),(4,3),(5,3)],6) => 1

[[3,4,6],[4]] => [2,1,3,4] => [3,2,4,1] => ([(0,1),(0,2),(0,3),(1,6),(2,4),(2,6),(3,4),(3,6),(4,5),(6,5)],7) => 1

[[3,4,5],[6]] => [4,1,2,3] => [3,4,1,2] => ([(0,1),(0,2),(1,4),(1,5),(2,4),(2,5),(4,3),(5,3)],6) => 1

[[3,4,6],[5]] => [3,1,2,4] => [3,4,2,1] => ([(0,2),(0,3),(1,5),(2,4),(3,1),(3,4),(4,5)],6) => 1

[[3,5,6],[4]] => [2,1,3,4] => [3,2,4,1] => ([(0,1),(0,2),(0,3),(1,6),(2,4),(2,6),(3,4),(3,6),(4,5),(6,5)],7) => 1

[[3,4,6],[6]] => [3,1,2,4] => [3,4,2,1] => ([(0,2),(0,3),(1,5),(2,4),(3,1),(3,4),(4,5)],6) => 1

[[3,6,6],[4]] => [2,1,3,4] => [3,2,4,1] => ([(0,1),(0,2),(0,3),(1,6),(2,4),(2,6),(3,4),(3,6),(4,5),(6,5)],7) => 1

[[3,5,5],[6]] => [4,1,2,3] => [3,4,1,2] => ([(0,1),(0,2),(1,4),(1,5),(2,4),(2,5),(4,3),(5,3)],6) => 1

[[3,5,6],[5]] => [2,1,3,4] => [3,2,4,1] => ([(0,1),(0,2),(0,3),(1,6),(2,4),(2,6),(3,4),(3,6),(4,5),(6,5)],7) => 1

[[3,5,6],[6]] => [3,1,2,4] => [3,4,2,1] => ([(0,2),(0,3),(1,5),(2,4),(3,1),(3,4),(4,5)],6) => 1

[[3,6,6],[5]] => [2,1,3,4] => [3,2,4,1] => ([(0,1),(0,2),(0,3),(1,6),(2,4),(2,6),(3,4),(3,6),(4,5),(6,5)],7) => 1

[[3,6,6],[6]] => [2,1,3,4] => [3,2,4,1] => ([(0,1),(0,2),(0,3),(1,6),(2,4),(2,6),(3,4),(3,6),(4,5),(6,5)],7) => 1

[[4,4,4],[6]] => [4,1,2,3] => [3,4,1,2] => ([(0,1),(0,2),(1,4),(1,5),(2,4),(2,5),(4,3),(5,3)],6) => 1

[[4,4,5],[6]] => [4,1,2,3] => [3,4,1,2] => ([(0,1),(0,2),(1,4),(1,5),(2,4),(2,5),(4,3),(5,3)],6) => 1

[[4,4,6],[5]] => [3,1,2,4] => [3,4,2,1] => ([(0,2),(0,3),(1,5),(2,4),(3,1),(3,4),(4,5)],6) => 1

[[4,4,6],[6]] => [3,1,2,4] => [3,4,2,1] => ([(0,2),(0,3),(1,5),(2,4),(3,1),(3,4),(4,5)],6) => 1

[[4,5,5],[6]] => [4,1,2,3] => [3,4,1,2] => ([(0,1),(0,2),(1,4),(1,5),(2,4),(2,5),(4,3),(5,3)],6) => 1

[[4,5,6],[5]] => [2,1,3,4] => [3,2,4,1] => ([(0,1),(0,2),(0,3),(1,6),(2,4),(2,6),(3,4),(3,6),(4,5),(6,5)],7) => 1

[[4,5,6],[6]] => [3,1,2,4] => [3,4,2,1] => ([(0,2),(0,3),(1,5),(2,4),(3,1),(3,4),(4,5)],6) => 1

[[4,6,6],[5]] => [2,1,3,4] => [3,2,4,1] => ([(0,1),(0,2),(0,3),(1,6),(2,4),(2,6),(3,4),(3,6),(4,5),(6,5)],7) => 1

[[4,6,6],[6]] => [2,1,3,4] => [3,2,4,1] => ([(0,1),(0,2),(0,3),(1,6),(2,4),(2,6),(3,4),(3,6),(4,5),(6,5)],7) => 1

[[5,5,5],[6]] => [4,1,2,3] => [3,4,1,2] => ([(0,1),(0,2),(1,4),(1,5),(2,4),(2,5),(4,3),(5,3)],6) => 1

[[5,5,6],[6]] => [3,1,2,4] => [3,4,2,1] => ([(0,2),(0,3),(1,5),(2,4),(3,1),(3,4),(4,5)],6) => 1

[[5,6,6],[6]] => [2,1,3,4] => [3,2,4,1] => ([(0,1),(0,2),(0,3),(1,6),(2,4),(2,6),(3,4),(3,6),(4,5),(6,5)],7) => 1

[[1,1],[2,6]] => [3,4,1,2] => [4,1,2,3] => ([(0,2),(0,3),(1,5),(2,4),(3,1),(3,4),(4,5)],6) => 1

[[1,1],[3,6]] => [3,4,1,2] => [4,1,2,3] => ([(0,2),(0,3),(1,5),(2,4),(3,1),(3,4),(4,5)],6) => 1

[[1,1],[4,6]] => [3,4,1,2] => [4,1,2,3] => ([(0,2),(0,3),(1,5),(2,4),(3,1),(3,4),(4,5)],6) => 1

[[1,1],[5,6]] => [3,4,1,2] => [4,1,2,3] => ([(0,2),(0,3),(1,5),(2,4),(3,1),(3,4),(4,5)],6) => 1

[[1,1],[6,6]] => [3,4,1,2] => [4,1,2,3] => ([(0,2),(0,3),(1,5),(2,4),(3,1),(3,4),(4,5)],6) => 1

[[1,2],[2,6]] => [2,4,1,3] => [4,2,1,3] => ([(0,1),(0,2),(0,3),(1,6),(2,4),(2,6),(3,4),(3,6),(4,5),(6,5)],7) => 1

[[1,2],[3,6]] => [3,4,1,2] => [4,1,2,3] => ([(0,2),(0,3),(1,5),(2,4),(3,1),(3,4),(4,5)],6) => 1

[[1,3],[2,6]] => [2,4,1,3] => [4,2,1,3] => ([(0,1),(0,2),(0,3),(1,6),(2,4),(2,6),(3,4),(3,6),(4,5),(6,5)],7) => 1

[[1,2],[4,6]] => [3,4,1,2] => [4,1,2,3] => ([(0,2),(0,3),(1,5),(2,4),(3,1),(3,4),(4,5)],6) => 1

[[1,4],[2,6]] => [2,4,1,3] => [4,2,1,3] => ([(0,1),(0,2),(0,3),(1,6),(2,4),(2,6),(3,4),(3,6),(4,5),(6,5)],7) => 1

[[1,2],[5,6]] => [3,4,1,2] => [4,1,2,3] => ([(0,2),(0,3),(1,5),(2,4),(3,1),(3,4),(4,5)],6) => 1

[[1,5],[2,6]] => [2,4,1,3] => [4,2,1,3] => ([(0,1),(0,2),(0,3),(1,6),(2,4),(2,6),(3,4),(3,6),(4,5),(6,5)],7) => 1

[[1,2],[6,6]] => [3,4,1,2] => [4,1,2,3] => ([(0,2),(0,3),(1,5),(2,4),(3,1),(3,4),(4,5)],6) => 1

[[1,3],[3,6]] => [2,4,1,3] => [4,2,1,3] => ([(0,1),(0,2),(0,3),(1,6),(2,4),(2,6),(3,4),(3,6),(4,5),(6,5)],7) => 1

[[1,3],[4,6]] => [3,4,1,2] => [4,1,2,3] => ([(0,2),(0,3),(1,5),(2,4),(3,1),(3,4),(4,5)],6) => 1

[[1,4],[3,6]] => [2,4,1,3] => [4,2,1,3] => ([(0,1),(0,2),(0,3),(1,6),(2,4),(2,6),(3,4),(3,6),(4,5),(6,5)],7) => 1

[[1,3],[5,6]] => [3,4,1,2] => [4,1,2,3] => ([(0,2),(0,3),(1,5),(2,4),(3,1),(3,4),(4,5)],6) => 1

[[1,5],[3,6]] => [2,4,1,3] => [4,2,1,3] => ([(0,1),(0,2),(0,3),(1,6),(2,4),(2,6),(3,4),(3,6),(4,5),(6,5)],7) => 1

[[1,3],[6,6]] => [3,4,1,2] => [4,1,2,3] => ([(0,2),(0,3),(1,5),(2,4),(3,1),(3,4),(4,5)],6) => 1

[[1,4],[4,6]] => [2,4,1,3] => [4,2,1,3] => ([(0,1),(0,2),(0,3),(1,6),(2,4),(2,6),(3,4),(3,6),(4,5),(6,5)],7) => 1

[[1,4],[5,6]] => [3,4,1,2] => [4,1,2,3] => ([(0,2),(0,3),(1,5),(2,4),(3,1),(3,4),(4,5)],6) => 1

[[1,5],[4,6]] => [2,4,1,3] => [4,2,1,3] => ([(0,1),(0,2),(0,3),(1,6),(2,4),(2,6),(3,4),(3,6),(4,5),(6,5)],7) => 1

[[1,4],[6,6]] => [3,4,1,2] => [4,1,2,3] => ([(0,2),(0,3),(1,5),(2,4),(3,1),(3,4),(4,5)],6) => 1

[[1,5],[5,6]] => [2,4,1,3] => [4,2,1,3] => ([(0,1),(0,2),(0,3),(1,6),(2,4),(2,6),(3,4),(3,6),(4,5),(6,5)],7) => 1

[[1,5],[6,6]] => [3,4,1,2] => [4,1,2,3] => ([(0,2),(0,3),(1,5),(2,4),(3,1),(3,4),(4,5)],6) => 1

[[2,2],[3,6]] => [3,4,1,2] => [4,1,2,3] => ([(0,2),(0,3),(1,5),(2,4),(3,1),(3,4),(4,5)],6) => 1

[[2,2],[4,6]] => [3,4,1,2] => [4,1,2,3] => ([(0,2),(0,3),(1,5),(2,4),(3,1),(3,4),(4,5)],6) => 1

[[2,2],[5,6]] => [3,4,1,2] => [4,1,2,3] => ([(0,2),(0,3),(1,5),(2,4),(3,1),(3,4),(4,5)],6) => 1

[[2,2],[6,6]] => [3,4,1,2] => [4,1,2,3] => ([(0,2),(0,3),(1,5),(2,4),(3,1),(3,4),(4,5)],6) => 1

[[2,3],[3,6]] => [2,4,1,3] => [4,2,1,3] => ([(0,1),(0,2),(0,3),(1,6),(2,4),(2,6),(3,4),(3,6),(4,5),(6,5)],7) => 1

[[2,3],[4,6]] => [3,4,1,2] => [4,1,2,3] => ([(0,2),(0,3),(1,5),(2,4),(3,1),(3,4),(4,5)],6) => 1

[[2,4],[3,6]] => [2,4,1,3] => [4,2,1,3] => ([(0,1),(0,2),(0,3),(1,6),(2,4),(2,6),(3,4),(3,6),(4,5),(6,5)],7) => 1

[[2,3],[5,6]] => [3,4,1,2] => [4,1,2,3] => ([(0,2),(0,3),(1,5),(2,4),(3,1),(3,4),(4,5)],6) => 1

[[2,5],[3,6]] => [2,4,1,3] => [4,2,1,3] => ([(0,1),(0,2),(0,3),(1,6),(2,4),(2,6),(3,4),(3,6),(4,5),(6,5)],7) => 1

[[2,3],[6,6]] => [3,4,1,2] => [4,1,2,3] => ([(0,2),(0,3),(1,5),(2,4),(3,1),(3,4),(4,5)],6) => 1

[[2,4],[4,6]] => [2,4,1,3] => [4,2,1,3] => ([(0,1),(0,2),(0,3),(1,6),(2,4),(2,6),(3,4),(3,6),(4,5),(6,5)],7) => 1

[[2,4],[5,6]] => [3,4,1,2] => [4,1,2,3] => ([(0,2),(0,3),(1,5),(2,4),(3,1),(3,4),(4,5)],6) => 1

[[2,5],[4,6]] => [2,4,1,3] => [4,2,1,3] => ([(0,1),(0,2),(0,3),(1,6),(2,4),(2,6),(3,4),(3,6),(4,5),(6,5)],7) => 1

[[2,4],[6,6]] => [3,4,1,2] => [4,1,2,3] => ([(0,2),(0,3),(1,5),(2,4),(3,1),(3,4),(4,5)],6) => 1

[[2,5],[5,6]] => [2,4,1,3] => [4,2,1,3] => ([(0,1),(0,2),(0,3),(1,6),(2,4),(2,6),(3,4),(3,6),(4,5),(6,5)],7) => 1

[[2,5],[6,6]] => [3,4,1,2] => [4,1,2,3] => ([(0,2),(0,3),(1,5),(2,4),(3,1),(3,4),(4,5)],6) => 1

[[3,3],[4,6]] => [3,4,1,2] => [4,1,2,3] => ([(0,2),(0,3),(1,5),(2,4),(3,1),(3,4),(4,5)],6) => 1

[[3,3],[5,6]] => [3,4,1,2] => [4,1,2,3] => ([(0,2),(0,3),(1,5),(2,4),(3,1),(3,4),(4,5)],6) => 1

[[3,3],[6,6]] => [3,4,1,2] => [4,1,2,3] => ([(0,2),(0,3),(1,5),(2,4),(3,1),(3,4),(4,5)],6) => 1

[[3,4],[4,6]] => [2,4,1,3] => [4,2,1,3] => ([(0,1),(0,2),(0,3),(1,6),(2,4),(2,6),(3,4),(3,6),(4,5),(6,5)],7) => 1

[[3,4],[5,6]] => [3,4,1,2] => [4,1,2,3] => ([(0,2),(0,3),(1,5),(2,4),(3,1),(3,4),(4,5)],6) => 1

[[3,5],[4,6]] => [2,4,1,3] => [4,2,1,3] => ([(0,1),(0,2),(0,3),(1,6),(2,4),(2,6),(3,4),(3,6),(4,5),(6,5)],7) => 1

[[3,4],[6,6]] => [3,4,1,2] => [4,1,2,3] => ([(0,2),(0,3),(1,5),(2,4),(3,1),(3,4),(4,5)],6) => 1

[[3,5],[5,6]] => [2,4,1,3] => [4,2,1,3] => ([(0,1),(0,2),(0,3),(1,6),(2,4),(2,6),(3,4),(3,6),(4,5),(6,5)],7) => 1

[[3,5],[6,6]] => [3,4,1,2] => [4,1,2,3] => ([(0,2),(0,3),(1,5),(2,4),(3,1),(3,4),(4,5)],6) => 1

[[4,4],[5,6]] => [3,4,1,2] => [4,1,2,3] => ([(0,2),(0,3),(1,5),(2,4),(3,1),(3,4),(4,5)],6) => 1

[[4,4],[6,6]] => [3,4,1,2] => [4,1,2,3] => ([(0,2),(0,3),(1,5),(2,4),(3,1),(3,4),(4,5)],6) => 1

[[4,5],[5,6]] => [2,4,1,3] => [4,2,1,3] => ([(0,1),(0,2),(0,3),(1,6),(2,4),(2,6),(3,4),(3,6),(4,5),(6,5)],7) => 1

[[4,5],[6,6]] => [3,4,1,2] => [4,1,2,3] => ([(0,2),(0,3),(1,5),(2,4),(3,1),(3,4),(4,5)],6) => 1

[[5,5],[6,6]] => [3,4,1,2] => [4,1,2,3] => ([(0,2),(0,3),(1,5),(2,4),(3,1),(3,4),(4,5)],6) => 1

[[1,1],[2],[6]] => [4,3,1,2] => [4,1,3,2] => ([(0,1),(0,2),(0,3),(1,6),(2,4),(2,6),(3,4),(3,6),(4,5),(6,5)],7) => 1

[[1,1],[3],[6]] => [4,3,1,2] => [4,1,3,2] => ([(0,1),(0,2),(0,3),(1,6),(2,4),(2,6),(3,4),(3,6),(4,5),(6,5)],7) => 1

[[1,1],[4],[6]] => [4,3,1,2] => [4,1,3,2] => ([(0,1),(0,2),(0,3),(1,6),(2,4),(2,6),(3,4),(3,6),(4,5),(6,5)],7) => 1

[[1,1],[5],[6]] => [4,3,1,2] => [4,1,3,2] => ([(0,1),(0,2),(0,3),(1,6),(2,4),(2,6),(3,4),(3,6),(4,5),(6,5)],7) => 1

[[1,2],[2],[6]] => [4,2,1,3] => [4,3,1,2] => ([(0,2),(0,3),(1,5),(2,4),(3,1),(3,4),(4,5)],6) => 1

[[1,2],[3],[6]] => [4,3,1,2] => [4,1,3,2] => ([(0,1),(0,2),(0,3),(1,6),(2,4),(2,6),(3,4),(3,6),(4,5),(6,5)],7) => 1

[[1,3],[2],[6]] => [4,2,1,3] => [4,3,1,2] => ([(0,2),(0,3),(1,5),(2,4),(3,1),(3,4),(4,5)],6) => 1

[[1,6],[2],[3]] => [3,2,1,4] => [4,3,2,1] => ([(0,3),(2,1),(3,2)],4) => 1

[[1,2],[4],[6]] => [4,3,1,2] => [4,1,3,2] => ([(0,1),(0,2),(0,3),(1,6),(2,4),(2,6),(3,4),(3,6),(4,5),(6,5)],7) => 1

[[1,4],[2],[6]] => [4,2,1,3] => [4,3,1,2] => ([(0,2),(0,3),(1,5),(2,4),(3,1),(3,4),(4,5)],6) => 1

[[1,6],[2],[4]] => [3,2,1,4] => [4,3,2,1] => ([(0,3),(2,1),(3,2)],4) => 1

[[1,2],[5],[6]] => [4,3,1,2] => [4,1,3,2] => ([(0,1),(0,2),(0,3),(1,6),(2,4),(2,6),(3,4),(3,6),(4,5),(6,5)],7) => 1

[[1,5],[2],[6]] => [4,2,1,3] => [4,3,1,2] => ([(0,2),(0,3),(1,5),(2,4),(3,1),(3,4),(4,5)],6) => 1

[[1,6],[2],[5]] => [3,2,1,4] => [4,3,2,1] => ([(0,3),(2,1),(3,2)],4) => 1

[[1,6],[2],[6]] => [3,2,1,4] => [4,3,2,1] => ([(0,3),(2,1),(3,2)],4) => 1

[[1,3],[3],[6]] => [4,2,1,3] => [4,3,1,2] => ([(0,2),(0,3),(1,5),(2,4),(3,1),(3,4),(4,5)],6) => 1

[[1,3],[4],[6]] => [4,3,1,2] => [4,1,3,2] => ([(0,1),(0,2),(0,3),(1,6),(2,4),(2,6),(3,4),(3,6),(4,5),(6,5)],7) => 1

[[1,4],[3],[6]] => [4,2,1,3] => [4,3,1,2] => ([(0,2),(0,3),(1,5),(2,4),(3,1),(3,4),(4,5)],6) => 1

[[1,6],[3],[4]] => [3,2,1,4] => [4,3,2,1] => ([(0,3),(2,1),(3,2)],4) => 1

[[1,3],[5],[6]] => [4,3,1,2] => [4,1,3,2] => ([(0,1),(0,2),(0,3),(1,6),(2,4),(2,6),(3,4),(3,6),(4,5),(6,5)],7) => 1

[[1,5],[3],[6]] => [4,2,1,3] => [4,3,1,2] => ([(0,2),(0,3),(1,5),(2,4),(3,1),(3,4),(4,5)],6) => 1

[[1,6],[3],[5]] => [3,2,1,4] => [4,3,2,1] => ([(0,3),(2,1),(3,2)],4) => 1

[[1,6],[3],[6]] => [3,2,1,4] => [4,3,2,1] => ([(0,3),(2,1),(3,2)],4) => 1

[[1,4],[4],[6]] => [4,2,1,3] => [4,3,1,2] => ([(0,2),(0,3),(1,5),(2,4),(3,1),(3,4),(4,5)],6) => 1

[[1,4],[5],[6]] => [4,3,1,2] => [4,1,3,2] => ([(0,1),(0,2),(0,3),(1,6),(2,4),(2,6),(3,4),(3,6),(4,5),(6,5)],7) => 1

[[1,5],[4],[6]] => [4,2,1,3] => [4,3,1,2] => ([(0,2),(0,3),(1,5),(2,4),(3,1),(3,4),(4,5)],6) => 1

[[1,6],[4],[5]] => [3,2,1,4] => [4,3,2,1] => ([(0,3),(2,1),(3,2)],4) => 1

[[1,6],[4],[6]] => [3,2,1,4] => [4,3,2,1] => ([(0,3),(2,1),(3,2)],4) => 1

[[1,5],[5],[6]] => [4,2,1,3] => [4,3,1,2] => ([(0,2),(0,3),(1,5),(2,4),(3,1),(3,4),(4,5)],6) => 1

[[1,6],[5],[6]] => [3,2,1,4] => [4,3,2,1] => ([(0,3),(2,1),(3,2)],4) => 1

[[2,2],[3],[6]] => [4,3,1,2] => [4,1,3,2] => ([(0,1),(0,2),(0,3),(1,6),(2,4),(2,6),(3,4),(3,6),(4,5),(6,5)],7) => 1

[[2,2],[4],[6]] => [4,3,1,2] => [4,1,3,2] => ([(0,1),(0,2),(0,3),(1,6),(2,4),(2,6),(3,4),(3,6),(4,5),(6,5)],7) => 1

[[2,2],[5],[6]] => [4,3,1,2] => [4,1,3,2] => ([(0,1),(0,2),(0,3),(1,6),(2,4),(2,6),(3,4),(3,6),(4,5),(6,5)],7) => 1

[[2,3],[3],[6]] => [4,2,1,3] => [4,3,1,2] => ([(0,2),(0,3),(1,5),(2,4),(3,1),(3,4),(4,5)],6) => 1

[[2,3],[4],[6]] => [4,3,1,2] => [4,1,3,2] => ([(0,1),(0,2),(0,3),(1,6),(2,4),(2,6),(3,4),(3,6),(4,5),(6,5)],7) => 1

[[2,4],[3],[6]] => [4,2,1,3] => [4,3,1,2] => ([(0,2),(0,3),(1,5),(2,4),(3,1),(3,4),(4,5)],6) => 1

[[2,6],[3],[4]] => [3,2,1,4] => [4,3,2,1] => ([(0,3),(2,1),(3,2)],4) => 1

[[2,3],[5],[6]] => [4,3,1,2] => [4,1,3,2] => ([(0,1),(0,2),(0,3),(1,6),(2,4),(2,6),(3,4),(3,6),(4,5),(6,5)],7) => 1

[[2,5],[3],[6]] => [4,2,1,3] => [4,3,1,2] => ([(0,2),(0,3),(1,5),(2,4),(3,1),(3,4),(4,5)],6) => 1

[[2,6],[3],[5]] => [3,2,1,4] => [4,3,2,1] => ([(0,3),(2,1),(3,2)],4) => 1

[[2,6],[3],[6]] => [3,2,1,4] => [4,3,2,1] => ([(0,3),(2,1),(3,2)],4) => 1

[[2,4],[4],[6]] => [4,2,1,3] => [4,3,1,2] => ([(0,2),(0,3),(1,5),(2,4),(3,1),(3,4),(4,5)],6) => 1

[[2,4],[5],[6]] => [4,3,1,2] => [4,1,3,2] => ([(0,1),(0,2),(0,3),(1,6),(2,4),(2,6),(3,4),(3,6),(4,5),(6,5)],7) => 1

[[2,5],[4],[6]] => [4,2,1,3] => [4,3,1,2] => ([(0,2),(0,3),(1,5),(2,4),(3,1),(3,4),(4,5)],6) => 1

[[2,6],[4],[5]] => [3,2,1,4] => [4,3,2,1] => ([(0,3),(2,1),(3,2)],4) => 1

[[2,6],[4],[6]] => [3,2,1,4] => [4,3,2,1] => ([(0,3),(2,1),(3,2)],4) => 1

[[2,5],[5],[6]] => [4,2,1,3] => [4,3,1,2] => ([(0,2),(0,3),(1,5),(2,4),(3,1),(3,4),(4,5)],6) => 1

[[2,6],[5],[6]] => [3,2,1,4] => [4,3,2,1] => ([(0,3),(2,1),(3,2)],4) => 1

[[3,3],[4],[6]] => [4,3,1,2] => [4,1,3,2] => ([(0,1),(0,2),(0,3),(1,6),(2,4),(2,6),(3,4),(3,6),(4,5),(6,5)],7) => 1

[[3,3],[5],[6]] => [4,3,1,2] => [4,1,3,2] => ([(0,1),(0,2),(0,3),(1,6),(2,4),(2,6),(3,4),(3,6),(4,5),(6,5)],7) => 1

[[3,4],[4],[6]] => [4,2,1,3] => [4,3,1,2] => ([(0,2),(0,3),(1,5),(2,4),(3,1),(3,4),(4,5)],6) => 1

[[3,4],[5],[6]] => [4,3,1,2] => [4,1,3,2] => ([(0,1),(0,2),(0,3),(1,6),(2,4),(2,6),(3,4),(3,6),(4,5),(6,5)],7) => 1

[[3,5],[4],[6]] => [4,2,1,3] => [4,3,1,2] => ([(0,2),(0,3),(1,5),(2,4),(3,1),(3,4),(4,5)],6) => 1

[[3,6],[4],[5]] => [3,2,1,4] => [4,3,2,1] => ([(0,3),(2,1),(3,2)],4) => 1

[[3,6],[4],[6]] => [3,2,1,4] => [4,3,2,1] => ([(0,3),(2,1),(3,2)],4) => 1

[[3,5],[5],[6]] => [4,2,1,3] => [4,3,1,2] => ([(0,2),(0,3),(1,5),(2,4),(3,1),(3,4),(4,5)],6) => 1

[[3,6],[5],[6]] => [3,2,1,4] => [4,3,2,1] => ([(0,3),(2,1),(3,2)],4) => 1

[[4,4],[5],[6]] => [4,3,1,2] => [4,1,3,2] => ([(0,1),(0,2),(0,3),(1,6),(2,4),(2,6),(3,4),(3,6),(4,5),(6,5)],7) => 1

[[4,5],[5],[6]] => [4,2,1,3] => [4,3,1,2] => ([(0,2),(0,3),(1,5),(2,4),(3,1),(3,4),(4,5)],6) => 1

[[4,6],[5],[6]] => [3,2,1,4] => [4,3,2,1] => ([(0,3),(2,1),(3,2)],4) => 1

[[1],[2],[3],[6]] => [4,3,2,1] => [1,4,3,2] => ([(0,2),(0,3),(1,5),(2,4),(3,1),(3,4),(4,5)],6) => 1

[[1],[2],[4],[6]] => [4,3,2,1] => [1,4,3,2] => ([(0,2),(0,3),(1,5),(2,4),(3,1),(3,4),(4,5)],6) => 1

[[1],[2],[5],[6]] => [4,3,2,1] => [1,4,3,2] => ([(0,2),(0,3),(1,5),(2,4),(3,1),(3,4),(4,5)],6) => 1

[[1],[3],[4],[6]] => [4,3,2,1] => [1,4,3,2] => ([(0,2),(0,3),(1,5),(2,4),(3,1),(3,4),(4,5)],6) => 1

[[1],[3],[5],[6]] => [4,3,2,1] => [1,4,3,2] => ([(0,2),(0,3),(1,5),(2,4),(3,1),(3,4),(4,5)],6) => 1

[[1],[4],[5],[6]] => [4,3,2,1] => [1,4,3,2] => ([(0,2),(0,3),(1,5),(2,4),(3,1),(3,4),(4,5)],6) => 1

[[2],[3],[4],[6]] => [4,3,2,1] => [1,4,3,2] => ([(0,2),(0,3),(1,5),(2,4),(3,1),(3,4),(4,5)],6) => 1

[[2],[3],[5],[6]] => [4,3,2,1] => [1,4,3,2] => ([(0,2),(0,3),(1,5),(2,4),(3,1),(3,4),(4,5)],6) => 1

[[2],[4],[5],[6]] => [4,3,2,1] => [1,4,3,2] => ([(0,2),(0,3),(1,5),(2,4),(3,1),(3,4),(4,5)],6) => 1

[[3],[4],[5],[6]] => [4,3,2,1] => [1,4,3,2] => ([(0,2),(0,3),(1,5),(2,4),(3,1),(3,4),(4,5)],6) => 1

[[1,1,1,1,5]] => [1,2,3,4,5] => [2,3,4,5,1] => ([(0,2),(0,4),(1,6),(2,5),(3,1),(3,7),(4,3),(4,5),(5,7),(7,6)],8) => 1

[[1,1,1,2,5]] => [1,2,3,4,5] => [2,3,4,5,1] => ([(0,2),(0,4),(1,6),(2,5),(3,1),(3,7),(4,3),(4,5),(5,7),(7,6)],8) => 1

[[1,1,1,3,5]] => [1,2,3,4,5] => [2,3,4,5,1] => ([(0,2),(0,4),(1,6),(2,5),(3,1),(3,7),(4,3),(4,5),(5,7),(7,6)],8) => 1

[[1,1,1,4,5]] => [1,2,3,4,5] => [2,3,4,5,1] => ([(0,2),(0,4),(1,6),(2,5),(3,1),(3,7),(4,3),(4,5),(5,7),(7,6)],8) => 1

[[1,1,1,5,5]] => [1,2,3,4,5] => [2,3,4,5,1] => ([(0,2),(0,4),(1,6),(2,5),(3,1),(3,7),(4,3),(4,5),(5,7),(7,6)],8) => 1

[[1,1,2,2,5]] => [1,2,3,4,5] => [2,3,4,5,1] => ([(0,2),(0,4),(1,6),(2,5),(3,1),(3,7),(4,3),(4,5),(5,7),(7,6)],8) => 1

[[1,1,2,3,5]] => [1,2,3,4,5] => [2,3,4,5,1] => ([(0,2),(0,4),(1,6),(2,5),(3,1),(3,7),(4,3),(4,5),(5,7),(7,6)],8) => 1

[[1,1,2,4,5]] => [1,2,3,4,5] => [2,3,4,5,1] => ([(0,2),(0,4),(1,6),(2,5),(3,1),(3,7),(4,3),(4,5),(5,7),(7,6)],8) => 1

[[1,1,2,5,5]] => [1,2,3,4,5] => [2,3,4,5,1] => ([(0,2),(0,4),(1,6),(2,5),(3,1),(3,7),(4,3),(4,5),(5,7),(7,6)],8) => 1

[[1,1,3,3,5]] => [1,2,3,4,5] => [2,3,4,5,1] => ([(0,2),(0,4),(1,6),(2,5),(3,1),(3,7),(4,3),(4,5),(5,7),(7,6)],8) => 1

[[1,1,3,4,5]] => [1,2,3,4,5] => [2,3,4,5,1] => ([(0,2),(0,4),(1,6),(2,5),(3,1),(3,7),(4,3),(4,5),(5,7),(7,6)],8) => 1

[[1,1,3,5,5]] => [1,2,3,4,5] => [2,3,4,5,1] => ([(0,2),(0,4),(1,6),(2,5),(3,1),(3,7),(4,3),(4,5),(5,7),(7,6)],8) => 1

[[1,1,4,4,5]] => [1,2,3,4,5] => [2,3,4,5,1] => ([(0,2),(0,4),(1,6),(2,5),(3,1),(3,7),(4,3),(4,5),(5,7),(7,6)],8) => 1

[[1,1,4,5,5]] => [1,2,3,4,5] => [2,3,4,5,1] => ([(0,2),(0,4),(1,6),(2,5),(3,1),(3,7),(4,3),(4,5),(5,7),(7,6)],8) => 1

[[1,1,5,5,5]] => [1,2,3,4,5] => [2,3,4,5,1] => ([(0,2),(0,4),(1,6),(2,5),(3,1),(3,7),(4,3),(4,5),(5,7),(7,6)],8) => 1

[[1,2,2,2,5]] => [1,2,3,4,5] => [2,3,4,5,1] => ([(0,2),(0,4),(1,6),(2,5),(3,1),(3,7),(4,3),(4,5),(5,7),(7,6)],8) => 1

[[1,2,2,3,5]] => [1,2,3,4,5] => [2,3,4,5,1] => ([(0,2),(0,4),(1,6),(2,5),(3,1),(3,7),(4,3),(4,5),(5,7),(7,6)],8) => 1

[[1,2,2,4,5]] => [1,2,3,4,5] => [2,3,4,5,1] => ([(0,2),(0,4),(1,6),(2,5),(3,1),(3,7),(4,3),(4,5),(5,7),(7,6)],8) => 1

[[1,2,2,5,5]] => [1,2,3,4,5] => [2,3,4,5,1] => ([(0,2),(0,4),(1,6),(2,5),(3,1),(3,7),(4,3),(4,5),(5,7),(7,6)],8) => 1

[[1,2,3,3,5]] => [1,2,3,4,5] => [2,3,4,5,1] => ([(0,2),(0,4),(1,6),(2,5),(3,1),(3,7),(4,3),(4,5),(5,7),(7,6)],8) => 1

[[1,2,3,4,5]] => [1,2,3,4,5] => [2,3,4,5,1] => ([(0,2),(0,4),(1,6),(2,5),(3,1),(3,7),(4,3),(4,5),(5,7),(7,6)],8) => 1

[[1,2,3,5,5]] => [1,2,3,4,5] => [2,3,4,5,1] => ([(0,2),(0,4),(1,6),(2,5),(3,1),(3,7),(4,3),(4,5),(5,7),(7,6)],8) => 1

[[1,2,4,4,5]] => [1,2,3,4,5] => [2,3,4,5,1] => ([(0,2),(0,4),(1,6),(2,5),(3,1),(3,7),(4,3),(4,5),(5,7),(7,6)],8) => 1

[[1,2,4,5,5]] => [1,2,3,4,5] => [2,3,4,5,1] => ([(0,2),(0,4),(1,6),(2,5),(3,1),(3,7),(4,3),(4,5),(5,7),(7,6)],8) => 1

[[1,2,5,5,5]] => [1,2,3,4,5] => [2,3,4,5,1] => ([(0,2),(0,4),(1,6),(2,5),(3,1),(3,7),(4,3),(4,5),(5,7),(7,6)],8) => 1

[[1,3,3,3,5]] => [1,2,3,4,5] => [2,3,4,5,1] => ([(0,2),(0,4),(1,6),(2,5),(3,1),(3,7),(4,3),(4,5),(5,7),(7,6)],8) => 1

[[1,3,3,4,5]] => [1,2,3,4,5] => [2,3,4,5,1] => ([(0,2),(0,4),(1,6),(2,5),(3,1),(3,7),(4,3),(4,5),(5,7),(7,6)],8) => 1

[[1,3,3,5,5]] => [1,2,3,4,5] => [2,3,4,5,1] => ([(0,2),(0,4),(1,6),(2,5),(3,1),(3,7),(4,3),(4,5),(5,7),(7,6)],8) => 1

[[1,3,4,4,5]] => [1,2,3,4,5] => [2,3,4,5,1] => ([(0,2),(0,4),(1,6),(2,5),(3,1),(3,7),(4,3),(4,5),(5,7),(7,6)],8) => 1

[[1,3,4,5,5]] => [1,2,3,4,5] => [2,3,4,5,1] => ([(0,2),(0,4),(1,6),(2,5),(3,1),(3,7),(4,3),(4,5),(5,7),(7,6)],8) => 1

[[1,3,5,5,5]] => [1,2,3,4,5] => [2,3,4,5,1] => ([(0,2),(0,4),(1,6),(2,5),(3,1),(3,7),(4,3),(4,5),(5,7),(7,6)],8) => 1

[[1,4,4,4,5]] => [1,2,3,4,5] => [2,3,4,5,1] => ([(0,2),(0,4),(1,6),(2,5),(3,1),(3,7),(4,3),(4,5),(5,7),(7,6)],8) => 1

[[1,4,4,5,5]] => [1,2,3,4,5] => [2,3,4,5,1] => ([(0,2),(0,4),(1,6),(2,5),(3,1),(3,7),(4,3),(4,5),(5,7),(7,6)],8) => 1

[[1,4,5,5,5]] => [1,2,3,4,5] => [2,3,4,5,1] => ([(0,2),(0,4),(1,6),(2,5),(3,1),(3,7),(4,3),(4,5),(5,7),(7,6)],8) => 1

[[1,5,5,5,5]] => [1,2,3,4,5] => [2,3,4,5,1] => ([(0,2),(0,4),(1,6),(2,5),(3,1),(3,7),(4,3),(4,5),(5,7),(7,6)],8) => 1

[[2,2,2,2,5]] => [1,2,3,4,5] => [2,3,4,5,1] => ([(0,2),(0,4),(1,6),(2,5),(3,1),(3,7),(4,3),(4,5),(5,7),(7,6)],8) => 1

[[2,2,2,3,5]] => [1,2,3,4,5] => [2,3,4,5,1] => ([(0,2),(0,4),(1,6),(2,5),(3,1),(3,7),(4,3),(4,5),(5,7),(7,6)],8) => 1

[[2,2,2,4,5]] => [1,2,3,4,5] => [2,3,4,5,1] => ([(0,2),(0,4),(1,6),(2,5),(3,1),(3,7),(4,3),(4,5),(5,7),(7,6)],8) => 1

[[2,2,2,5,5]] => [1,2,3,4,5] => [2,3,4,5,1] => ([(0,2),(0,4),(1,6),(2,5),(3,1),(3,7),(4,3),(4,5),(5,7),(7,6)],8) => 1

[[2,2,3,3,5]] => [1,2,3,4,5] => [2,3,4,5,1] => ([(0,2),(0,4),(1,6),(2,5),(3,1),(3,7),(4,3),(4,5),(5,7),(7,6)],8) => 1

[[2,2,3,4,5]] => [1,2,3,4,5] => [2,3,4,5,1] => ([(0,2),(0,4),(1,6),(2,5),(3,1),(3,7),(4,3),(4,5),(5,7),(7,6)],8) => 1

[[2,2,3,5,5]] => [1,2,3,4,5] => [2,3,4,5,1] => ([(0,2),(0,4),(1,6),(2,5),(3,1),(3,7),(4,3),(4,5),(5,7),(7,6)],8) => 1

[[2,2,4,4,5]] => [1,2,3,4,5] => [2,3,4,5,1] => ([(0,2),(0,4),(1,6),(2,5),(3,1),(3,7),(4,3),(4,5),(5,7),(7,6)],8) => 1

[[2,2,4,5,5]] => [1,2,3,4,5] => [2,3,4,5,1] => ([(0,2),(0,4),(1,6),(2,5),(3,1),(3,7),(4,3),(4,5),(5,7),(7,6)],8) => 1

[[2,2,5,5,5]] => [1,2,3,4,5] => [2,3,4,5,1] => ([(0,2),(0,4),(1,6),(2,5),(3,1),(3,7),(4,3),(4,5),(5,7),(7,6)],8) => 1

[[2,3,3,3,5]] => [1,2,3,4,5] => [2,3,4,5,1] => ([(0,2),(0,4),(1,6),(2,5),(3,1),(3,7),(4,3),(4,5),(5,7),(7,6)],8) => 1

[[2,3,3,4,5]] => [1,2,3,4,5] => [2,3,4,5,1] => ([(0,2),(0,4),(1,6),(2,5),(3,1),(3,7),(4,3),(4,5),(5,7),(7,6)],8) => 1

[[2,3,3,5,5]] => [1,2,3,4,5] => [2,3,4,5,1] => ([(0,2),(0,4),(1,6),(2,5),(3,1),(3,7),(4,3),(4,5),(5,7),(7,6)],8) => 1

[[2,3,4,4,5]] => [1,2,3,4,5] => [2,3,4,5,1] => ([(0,2),(0,4),(1,6),(2,5),(3,1),(3,7),(4,3),(4,5),(5,7),(7,6)],8) => 1

[[2,3,4,5,5]] => [1,2,3,4,5] => [2,3,4,5,1] => ([(0,2),(0,4),(1,6),(2,5),(3,1),(3,7),(4,3),(4,5),(5,7),(7,6)],8) => 1

[[2,3,5,5,5]] => [1,2,3,4,5] => [2,3,4,5,1] => ([(0,2),(0,4),(1,6),(2,5),(3,1),(3,7),(4,3),(4,5),(5,7),(7,6)],8) => 1

[[2,4,4,4,5]] => [1,2,3,4,5] => [2,3,4,5,1] => ([(0,2),(0,4),(1,6),(2,5),(3,1),(3,7),(4,3),(4,5),(5,7),(7,6)],8) => 1

[[2,4,4,5,5]] => [1,2,3,4,5] => [2,3,4,5,1] => ([(0,2),(0,4),(1,6),(2,5),(3,1),(3,7),(4,3),(4,5),(5,7),(7,6)],8) => 1

[[2,4,5,5,5]] => [1,2,3,4,5] => [2,3,4,5,1] => ([(0,2),(0,4),(1,6),(2,5),(3,1),(3,7),(4,3),(4,5),(5,7),(7,6)],8) => 1

[[2,5,5,5,5]] => [1,2,3,4,5] => [2,3,4,5,1] => ([(0,2),(0,4),(1,6),(2,5),(3,1),(3,7),(4,3),(4,5),(5,7),(7,6)],8) => 1

[[3,3,3,3,5]] => [1,2,3,4,5] => [2,3,4,5,1] => ([(0,2),(0,4),(1,6),(2,5),(3,1),(3,7),(4,3),(4,5),(5,7),(7,6)],8) => 1

[[3,3,3,4,5]] => [1,2,3,4,5] => [2,3,4,5,1] => ([(0,2),(0,4),(1,6),(2,5),(3,1),(3,7),(4,3),(4,5),(5,7),(7,6)],8) => 1

[[3,3,3,5,5]] => [1,2,3,4,5] => [2,3,4,5,1] => ([(0,2),(0,4),(1,6),(2,5),(3,1),(3,7),(4,3),(4,5),(5,7),(7,6)],8) => 1

[[3,3,4,4,5]] => [1,2,3,4,5] => [2,3,4,5,1] => ([(0,2),(0,4),(1,6),(2,5),(3,1),(3,7),(4,3),(4,5),(5,7),(7,6)],8) => 1

[[3,3,4,5,5]] => [1,2,3,4,5] => [2,3,4,5,1] => ([(0,2),(0,4),(1,6),(2,5),(3,1),(3,7),(4,3),(4,5),(5,7),(7,6)],8) => 1

[[3,3,5,5,5]] => [1,2,3,4,5] => [2,3,4,5,1] => ([(0,2),(0,4),(1,6),(2,5),(3,1),(3,7),(4,3),(4,5),(5,7),(7,6)],8) => 1

[[3,4,4,4,5]] => [1,2,3,4,5] => [2,3,4,5,1] => ([(0,2),(0,4),(1,6),(2,5),(3,1),(3,7),(4,3),(4,5),(5,7),(7,6)],8) => 1

[[3,4,4,5,5]] => [1,2,3,4,5] => [2,3,4,5,1] => ([(0,2),(0,4),(1,6),(2,5),(3,1),(3,7),(4,3),(4,5),(5,7),(7,6)],8) => 1

[[3,4,5,5,5]] => [1,2,3,4,5] => [2,3,4,5,1] => ([(0,2),(0,4),(1,6),(2,5),(3,1),(3,7),(4,3),(4,5),(5,7),(7,6)],8) => 1

[[3,5,5,5,5]] => [1,2,3,4,5] => [2,3,4,5,1] => ([(0,2),(0,4),(1,6),(2,5),(3,1),(3,7),(4,3),(4,5),(5,7),(7,6)],8) => 1

[[4,4,4,4,5]] => [1,2,3,4,5] => [2,3,4,5,1] => ([(0,2),(0,4),(1,6),(2,5),(3,1),(3,7),(4,3),(4,5),(5,7),(7,6)],8) => 1

[[4,4,4,5,5]] => [1,2,3,4,5] => [2,3,4,5,1] => ([(0,2),(0,4),(1,6),(2,5),(3,1),(3,7),(4,3),(4,5),(5,7),(7,6)],8) => 1

[[4,4,5,5,5]] => [1,2,3,4,5] => [2,3,4,5,1] => ([(0,2),(0,4),(1,6),(2,5),(3,1),(3,7),(4,3),(4,5),(5,7),(7,6)],8) => 1

[[4,5,5,5,5]] => [1,2,3,4,5] => [2,3,4,5,1] => ([(0,2),(0,4),(1,6),(2,5),(3,1),(3,7),(4,3),(4,5),(5,7),(7,6)],8) => 1

[[5,5,5,5,5]] => [1,2,3,4,5] => [2,3,4,5,1] => ([(0,2),(0,4),(1,6),(2,5),(3,1),(3,7),(4,3),(4,5),(5,7),(7,6)],8) => 1

[[1,1,1,5],[2]] => [4,1,2,3,5] => [3,4,5,2,1] => ([(0,3),(0,4),(1,7),(2,6),(3,2),(3,5),(4,1),(4,5),(5,6),(5,7),(6,8),(7,8)],9) => 1

[[1,1,1,5],[3]] => [4,1,2,3,5] => [3,4,5,2,1] => ([(0,3),(0,4),(1,7),(2,6),(3,2),(3,5),(4,1),(4,5),(5,6),(5,7),(6,8),(7,8)],9) => 1

[[1,1,1,5],[4]] => [4,1,2,3,5] => [3,4,5,2,1] => ([(0,3),(0,4),(1,7),(2,6),(3,2),(3,5),(4,1),(4,5),(5,6),(5,7),(6,8),(7,8)],9) => 1

[[1,1,1,5],[5]] => [4,1,2,3,5] => [3,4,5,2,1] => ([(0,3),(0,4),(1,7),(2,6),(3,2),(3,5),(4,1),(4,5),(5,6),(5,7),(6,8),(7,8)],9) => 1

[[1,1,2,5],[3]] => [4,1,2,3,5] => [3,4,5,2,1] => ([(0,3),(0,4),(1,7),(2,6),(3,2),(3,5),(4,1),(4,5),(5,6),(5,7),(6,8),(7,8)],9) => 1

[[1,1,2,5],[4]] => [4,1,2,3,5] => [3,4,5,2,1] => ([(0,3),(0,4),(1,7),(2,6),(3,2),(3,5),(4,1),(4,5),(5,6),(5,7),(6,8),(7,8)],9) => 1

[[1,1,2,5],[5]] => [4,1,2,3,5] => [3,4,5,2,1] => ([(0,3),(0,4),(1,7),(2,6),(3,2),(3,5),(4,1),(4,5),(5,6),(5,7),(6,8),(7,8)],9) => 1

[[1,1,3,5],[4]] => [4,1,2,3,5] => [3,4,5,2,1] => ([(0,3),(0,4),(1,7),(2,6),(3,2),(3,5),(4,1),(4,5),(5,6),(5,7),(6,8),(7,8)],9) => 1

[[1,1,3,5],[5]] => [4,1,2,3,5] => [3,4,5,2,1] => ([(0,3),(0,4),(1,7),(2,6),(3,2),(3,5),(4,1),(4,5),(5,6),(5,7),(6,8),(7,8)],9) => 1

[[1,1,4,5],[5]] => [4,1,2,3,5] => [3,4,5,2,1] => ([(0,3),(0,4),(1,7),(2,6),(3,2),(3,5),(4,1),(4,5),(5,6),(5,7),(6,8),(7,8)],9) => 1

[[1,2,2,5],[3]] => [4,1,2,3,5] => [3,4,5,2,1] => ([(0,3),(0,4),(1,7),(2,6),(3,2),(3,5),(4,1),(4,5),(5,6),(5,7),(6,8),(7,8)],9) => 1

[[1,2,2,5],[4]] => [4,1,2,3,5] => [3,4,5,2,1] => ([(0,3),(0,4),(1,7),(2,6),(3,2),(3,5),(4,1),(4,5),(5,6),(5,7),(6,8),(7,8)],9) => 1

[[1,2,2,5],[5]] => [4,1,2,3,5] => [3,4,5,2,1] => ([(0,3),(0,4),(1,7),(2,6),(3,2),(3,5),(4,1),(4,5),(5,6),(5,7),(6,8),(7,8)],9) => 1

[[1,2,3,5],[4]] => [4,1,2,3,5] => [3,4,5,2,1] => ([(0,3),(0,4),(1,7),(2,6),(3,2),(3,5),(4,1),(4,5),(5,6),(5,7),(6,8),(7,8)],9) => 1

[[1,2,3,5],[5]] => [4,1,2,3,5] => [3,4,5,2,1] => ([(0,3),(0,4),(1,7),(2,6),(3,2),(3,5),(4,1),(4,5),(5,6),(5,7),(6,8),(7,8)],9) => 1

[[1,2,4,5],[5]] => [4,1,2,3,5] => [3,4,5,2,1] => ([(0,3),(0,4),(1,7),(2,6),(3,2),(3,5),(4,1),(4,5),(5,6),(5,7),(6,8),(7,8)],9) => 1

[[1,3,3,5],[4]] => [4,1,2,3,5] => [3,4,5,2,1] => ([(0,3),(0,4),(1,7),(2,6),(3,2),(3,5),(4,1),(4,5),(5,6),(5,7),(6,8),(7,8)],9) => 1

[[1,3,3,5],[5]] => [4,1,2,3,5] => [3,4,5,2,1] => ([(0,3),(0,4),(1,7),(2,6),(3,2),(3,5),(4,1),(4,5),(5,6),(5,7),(6,8),(7,8)],9) => 1

[[1,3,4,5],[5]] => [4,1,2,3,5] => [3,4,5,2,1] => ([(0,3),(0,4),(1,7),(2,6),(3,2),(3,5),(4,1),(4,5),(5,6),(5,7),(6,8),(7,8)],9) => 1

[[1,4,4,5],[5]] => [4,1,2,3,5] => [3,4,5,2,1] => ([(0,3),(0,4),(1,7),(2,6),(3,2),(3,5),(4,1),(4,5),(5,6),(5,7),(6,8),(7,8)],9) => 1

[[2,2,2,5],[3]] => [4,1,2,3,5] => [3,4,5,2,1] => ([(0,3),(0,4),(1,7),(2,6),(3,2),(3,5),(4,1),(4,5),(5,6),(5,7),(6,8),(7,8)],9) => 1

[[2,2,2,5],[4]] => [4,1,2,3,5] => [3,4,5,2,1] => ([(0,3),(0,4),(1,7),(2,6),(3,2),(3,5),(4,1),(4,5),(5,6),(5,7),(6,8),(7,8)],9) => 1

[[2,2,2,5],[5]] => [4,1,2,3,5] => [3,4,5,2,1] => ([(0,3),(0,4),(1,7),(2,6),(3,2),(3,5),(4,1),(4,5),(5,6),(5,7),(6,8),(7,8)],9) => 1

[[2,2,3,5],[4]] => [4,1,2,3,5] => [3,4,5,2,1] => ([(0,3),(0,4),(1,7),(2,6),(3,2),(3,5),(4,1),(4,5),(5,6),(5,7),(6,8),(7,8)],9) => 1

[[2,2,3,5],[5]] => [4,1,2,3,5] => [3,4,5,2,1] => ([(0,3),(0,4),(1,7),(2,6),(3,2),(3,5),(4,1),(4,5),(5,6),(5,7),(6,8),(7,8)],9) => 1

[[2,2,4,5],[5]] => [4,1,2,3,5] => [3,4,5,2,1] => ([(0,3),(0,4),(1,7),(2,6),(3,2),(3,5),(4,1),(4,5),(5,6),(5,7),(6,8),(7,8)],9) => 1

[[2,3,3,5],[4]] => [4,1,2,3,5] => [3,4,5,2,1] => ([(0,3),(0,4),(1,7),(2,6),(3,2),(3,5),(4,1),(4,5),(5,6),(5,7),(6,8),(7,8)],9) => 1

[[2,3,3,5],[5]] => [4,1,2,3,5] => [3,4,5,2,1] => ([(0,3),(0,4),(1,7),(2,6),(3,2),(3,5),(4,1),(4,5),(5,6),(5,7),(6,8),(7,8)],9) => 1

[[2,3,4,5],[5]] => [4,1,2,3,5] => [3,4,5,2,1] => ([(0,3),(0,4),(1,7),(2,6),(3,2),(3,5),(4,1),(4,5),(5,6),(5,7),(6,8),(7,8)],9) => 1

[[2,4,4,5],[5]] => [4,1,2,3,5] => [3,4,5,2,1] => ([(0,3),(0,4),(1,7),(2,6),(3,2),(3,5),(4,1),(4,5),(5,6),(5,7),(6,8),(7,8)],9) => 1

[[3,3,3,5],[4]] => [4,1,2,3,5] => [3,4,5,2,1] => ([(0,3),(0,4),(1,7),(2,6),(3,2),(3,5),(4,1),(4,5),(5,6),(5,7),(6,8),(7,8)],9) => 1

[[3,3,3,5],[5]] => [4,1,2,3,5] => [3,4,5,2,1] => ([(0,3),(0,4),(1,7),(2,6),(3,2),(3,5),(4,1),(4,5),(5,6),(5,7),(6,8),(7,8)],9) => 1

[[3,3,4,5],[5]] => [4,1,2,3,5] => [3,4,5,2,1] => ([(0,3),(0,4),(1,7),(2,6),(3,2),(3,5),(4,1),(4,5),(5,6),(5,7),(6,8),(7,8)],9) => 1

[[3,4,4,5],[5]] => [4,1,2,3,5] => [3,4,5,2,1] => ([(0,3),(0,4),(1,7),(2,6),(3,2),(3,5),(4,1),(4,5),(5,6),(5,7),(6,8),(7,8)],9) => 1

[[4,4,4,5],[5]] => [4,1,2,3,5] => [3,4,5,2,1] => ([(0,3),(0,4),(1,7),(2,6),(3,2),(3,5),(4,1),(4,5),(5,6),(5,7),(6,8),(7,8)],9) => 1

[[1,1,5],[2],[3]] => [4,3,1,2,5] => [4,5,3,2,1] => ([(0,2),(0,4),(1,6),(2,5),(3,1),(3,7),(4,3),(4,5),(5,7),(7,6)],8) => 1

[[1,1,5],[2],[4]] => [4,3,1,2,5] => [4,5,3,2,1] => ([(0,2),(0,4),(1,6),(2,5),(3,1),(3,7),(4,3),(4,5),(5,7),(7,6)],8) => 1

[[1,1,5],[2],[5]] => [4,3,1,2,5] => [4,5,3,2,1] => ([(0,2),(0,4),(1,6),(2,5),(3,1),(3,7),(4,3),(4,5),(5,7),(7,6)],8) => 1

[[1,1,5],[3],[4]] => [4,3,1,2,5] => [4,5,3,2,1] => ([(0,2),(0,4),(1,6),(2,5),(3,1),(3,7),(4,3),(4,5),(5,7),(7,6)],8) => 1

[[1,1,5],[3],[5]] => [4,3,1,2,5] => [4,5,3,2,1] => ([(0,2),(0,4),(1,6),(2,5),(3,1),(3,7),(4,3),(4,5),(5,7),(7,6)],8) => 1

[[1,1,5],[4],[5]] => [4,3,1,2,5] => [4,5,3,2,1] => ([(0,2),(0,4),(1,6),(2,5),(3,1),(3,7),(4,3),(4,5),(5,7),(7,6)],8) => 1

[[1,2,5],[3],[4]] => [4,3,1,2,5] => [4,5,3,2,1] => ([(0,2),(0,4),(1,6),(2,5),(3,1),(3,7),(4,3),(4,5),(5,7),(7,6)],8) => 1

[[1,2,5],[3],[5]] => [4,3,1,2,5] => [4,5,3,2,1] => ([(0,2),(0,4),(1,6),(2,5),(3,1),(3,7),(4,3),(4,5),(5,7),(7,6)],8) => 1

[[1,2,5],[4],[5]] => [4,3,1,2,5] => [4,5,3,2,1] => ([(0,2),(0,4),(1,6),(2,5),(3,1),(3,7),(4,3),(4,5),(5,7),(7,6)],8) => 1

[[1,3,5],[4],[5]] => [4,3,1,2,5] => [4,5,3,2,1] => ([(0,2),(0,4),(1,6),(2,5),(3,1),(3,7),(4,3),(4,5),(5,7),(7,6)],8) => 1

[[2,2,5],[3],[4]] => [4,3,1,2,5] => [4,5,3,2,1] => ([(0,2),(0,4),(1,6),(2,5),(3,1),(3,7),(4,3),(4,5),(5,7),(7,6)],8) => 1

[[2,2,5],[3],[5]] => [4,3,1,2,5] => [4,5,3,2,1] => ([(0,2),(0,4),(1,6),(2,5),(3,1),(3,7),(4,3),(4,5),(5,7),(7,6)],8) => 1

[[2,2,5],[4],[5]] => [4,3,1,2,5] => [4,5,3,2,1] => ([(0,2),(0,4),(1,6),(2,5),(3,1),(3,7),(4,3),(4,5),(5,7),(7,6)],8) => 1

[[2,3,5],[4],[5]] => [4,3,1,2,5] => [4,5,3,2,1] => ([(0,2),(0,4),(1,6),(2,5),(3,1),(3,7),(4,3),(4,5),(5,7),(7,6)],8) => 1

[[3,3,5],[4],[5]] => [4,3,1,2,5] => [4,5,3,2,1] => ([(0,2),(0,4),(1,6),(2,5),(3,1),(3,7),(4,3),(4,5),(5,7),(7,6)],8) => 1

[[1,3],[2],[3],[5]] => [5,3,2,1,4] => [5,4,3,1,2] => ([(0,2),(0,4),(1,6),(2,5),(3,1),(3,7),(4,3),(4,5),(5,7),(7,6)],8) => 1

[[1,4],[2],[3],[5]] => [5,3,2,1,4] => [5,4,3,1,2] => ([(0,2),(0,4),(1,6),(2,5),(3,1),(3,7),(4,3),(4,5),(5,7),(7,6)],8) => 1

[[1,5],[2],[3],[4]] => [4,3,2,1,5] => [5,4,3,2,1] => ([(0,4),(2,3),(3,1),(4,2)],5) => 1

[[1,5],[2],[3],[5]] => [4,3,2,1,5] => [5,4,3,2,1] => ([(0,4),(2,3),(3,1),(4,2)],5) => 1

[[1,4],[2],[4],[5]] => [5,3,2,1,4] => [5,4,3,1,2] => ([(0,2),(0,4),(1,6),(2,5),(3,1),(3,7),(4,3),(4,5),(5,7),(7,6)],8) => 1

[[1,5],[2],[4],[5]] => [4,3,2,1,5] => [5,4,3,2,1] => ([(0,4),(2,3),(3,1),(4,2)],5) => 1

[[1,4],[3],[4],[5]] => [5,3,2,1,4] => [5,4,3,1,2] => ([(0,2),(0,4),(1,6),(2,5),(3,1),(3,7),(4,3),(4,5),(5,7),(7,6)],8) => 1

[[1,5],[3],[4],[5]] => [4,3,2,1,5] => [5,4,3,2,1] => ([(0,4),(2,3),(3,1),(4,2)],5) => 1

[[2,4],[3],[4],[5]] => [5,3,2,1,4] => [5,4,3,1,2] => ([(0,2),(0,4),(1,6),(2,5),(3,1),(3,7),(4,3),(4,5),(5,7),(7,6)],8) => 1

[[2,5],[3],[4],[5]] => [4,3,2,1,5] => [5,4,3,2,1] => ([(0,4),(2,3),(3,1),(4,2)],5) => 1

[[1],[2],[3],[4],[5]] => [5,4,3,2,1] => [1,5,4,3,2] => ([(0,2),(0,4),(1,6),(2,5),(3,1),(3,7),(4,3),(4,5),(5,7),(7,6)],8) => 1

[[1,1,1,1,1,4]] => [1,2,3,4,5,6] => [2,3,4,5,6,1] => ([(0,2),(0,5),(1,7),(2,6),(3,4),(3,9),(4,1),(4,8),(5,3),(5,6),(6,9),(8,7),(9,8)],10) => 1

[[1,1,1,1,2,4]] => [1,2,3,4,5,6] => [2,3,4,5,6,1] => ([(0,2),(0,5),(1,7),(2,6),(3,4),(3,9),(4,1),(4,8),(5,3),(5,6),(6,9),(8,7),(9,8)],10) => 1

[[1,1,1,1,3,4]] => [1,2,3,4,5,6] => [2,3,4,5,6,1] => ([(0,2),(0,5),(1,7),(2,6),(3,4),(3,9),(4,1),(4,8),(5,3),(5,6),(6,9),(8,7),(9,8)],10) => 1

[[1,1,1,1,4,4]] => [1,2,3,4,5,6] => [2,3,4,5,6,1] => ([(0,2),(0,5),(1,7),(2,6),(3,4),(3,9),(4,1),(4,8),(5,3),(5,6),(6,9),(8,7),(9,8)],10) => 1

[[1,1,1,2,2,4]] => [1,2,3,4,5,6] => [2,3,4,5,6,1] => ([(0,2),(0,5),(1,7),(2,6),(3,4),(3,9),(4,1),(4,8),(5,3),(5,6),(6,9),(8,7),(9,8)],10) => 1

[[1,1,1,2,3,4]] => [1,2,3,4,5,6] => [2,3,4,5,6,1] => ([(0,2),(0,5),(1,7),(2,6),(3,4),(3,9),(4,1),(4,8),(5,3),(5,6),(6,9),(8,7),(9,8)],10) => 1

[[1,1,1,2,4,4]] => [1,2,3,4,5,6] => [2,3,4,5,6,1] => ([(0,2),(0,5),(1,7),(2,6),(3,4),(3,9),(4,1),(4,8),(5,3),(5,6),(6,9),(8,7),(9,8)],10) => 1

[[1,1,1,3,3,4]] => [1,2,3,4,5,6] => [2,3,4,5,6,1] => ([(0,2),(0,5),(1,7),(2,6),(3,4),(3,9),(4,1),(4,8),(5,3),(5,6),(6,9),(8,7),(9,8)],10) => 1

[[1,1,1,3,4,4]] => [1,2,3,4,5,6] => [2,3,4,5,6,1] => ([(0,2),(0,5),(1,7),(2,6),(3,4),(3,9),(4,1),(4,8),(5,3),(5,6),(6,9),(8,7),(9,8)],10) => 1

[[1,1,1,4,4,4]] => [1,2,3,4,5,6] => [2,3,4,5,6,1] => ([(0,2),(0,5),(1,7),(2,6),(3,4),(3,9),(4,1),(4,8),(5,3),(5,6),(6,9),(8,7),(9,8)],10) => 1

[[1,1,2,2,2,4]] => [1,2,3,4,5,6] => [2,3,4,5,6,1] => ([(0,2),(0,5),(1,7),(2,6),(3,4),(3,9),(4,1),(4,8),(5,3),(5,6),(6,9),(8,7),(9,8)],10) => 1

[[1,1,2,2,3,4]] => [1,2,3,4,5,6] => [2,3,4,5,6,1] => ([(0,2),(0,5),(1,7),(2,6),(3,4),(3,9),(4,1),(4,8),(5,3),(5,6),(6,9),(8,7),(9,8)],10) => 1

[[1,1,2,2,4,4]] => [1,2,3,4,5,6] => [2,3,4,5,6,1] => ([(0,2),(0,5),(1,7),(2,6),(3,4),(3,9),(4,1),(4,8),(5,3),(5,6),(6,9),(8,7),(9,8)],10) => 1

[[1,1,2,3,3,4]] => [1,2,3,4,5,6] => [2,3,4,5,6,1] => ([(0,2),(0,5),(1,7),(2,6),(3,4),(3,9),(4,1),(4,8),(5,3),(5,6),(6,9),(8,7),(9,8)],10) => 1

[[1,1,2,3,4,4]] => [1,2,3,4,5,6] => [2,3,4,5,6,1] => ([(0,2),(0,5),(1,7),(2,6),(3,4),(3,9),(4,1),(4,8),(5,3),(5,6),(6,9),(8,7),(9,8)],10) => 1

[[1,1,2,4,4,4]] => [1,2,3,4,5,6] => [2,3,4,5,6,1] => ([(0,2),(0,5),(1,7),(2,6),(3,4),(3,9),(4,1),(4,8),(5,3),(5,6),(6,9),(8,7),(9,8)],10) => 1

[[1,1,3,3,3,4]] => [1,2,3,4,5,6] => [2,3,4,5,6,1] => ([(0,2),(0,5),(1,7),(2,6),(3,4),(3,9),(4,1),(4,8),(5,3),(5,6),(6,9),(8,7),(9,8)],10) => 1

[[1,1,3,3,4,4]] => [1,2,3,4,5,6] => [2,3,4,5,6,1] => ([(0,2),(0,5),(1,7),(2,6),(3,4),(3,9),(4,1),(4,8),(5,3),(5,6),(6,9),(8,7),(9,8)],10) => 1

[[1,1,3,4,4,4]] => [1,2,3,4,5,6] => [2,3,4,5,6,1] => ([(0,2),(0,5),(1,7),(2,6),(3,4),(3,9),(4,1),(4,8),(5,3),(5,6),(6,9),(8,7),(9,8)],10) => 1

[[1,1,4,4,4,4]] => [1,2,3,4,5,6] => [2,3,4,5,6,1] => ([(0,2),(0,5),(1,7),(2,6),(3,4),(3,9),(4,1),(4,8),(5,3),(5,6),(6,9),(8,7),(9,8)],10) => 1

[[1,2,2,2,2,4]] => [1,2,3,4,5,6] => [2,3,4,5,6,1] => ([(0,2),(0,5),(1,7),(2,6),(3,4),(3,9),(4,1),(4,8),(5,3),(5,6),(6,9),(8,7),(9,8)],10) => 1

[[1,2,2,2,3,4]] => [1,2,3,4,5,6] => [2,3,4,5,6,1] => ([(0,2),(0,5),(1,7),(2,6),(3,4),(3,9),(4,1),(4,8),(5,3),(5,6),(6,9),(8,7),(9,8)],10) => 1

[[1,2,2,2,4,4]] => [1,2,3,4,5,6] => [2,3,4,5,6,1] => ([(0,2),(0,5),(1,7),(2,6),(3,4),(3,9),(4,1),(4,8),(5,3),(5,6),(6,9),(8,7),(9,8)],10) => 1

[[1,2,2,3,3,4]] => [1,2,3,4,5,6] => [2,3,4,5,6,1] => ([(0,2),(0,5),(1,7),(2,6),(3,4),(3,9),(4,1),(4,8),(5,3),(5,6),(6,9),(8,7),(9,8)],10) => 1

[[1,2,2,3,4,4]] => [1,2,3,4,5,6] => [2,3,4,5,6,1] => ([(0,2),(0,5),(1,7),(2,6),(3,4),(3,9),(4,1),(4,8),(5,3),(5,6),(6,9),(8,7),(9,8)],10) => 1

[[1,2,2,4,4,4]] => [1,2,3,4,5,6] => [2,3,4,5,6,1] => ([(0,2),(0,5),(1,7),(2,6),(3,4),(3,9),(4,1),(4,8),(5,3),(5,6),(6,9),(8,7),(9,8)],10) => 1

[[1,2,3,3,3,4]] => [1,2,3,4,5,6] => [2,3,4,5,6,1] => ([(0,2),(0,5),(1,7),(2,6),(3,4),(3,9),(4,1),(4,8),(5,3),(5,6),(6,9),(8,7),(9,8)],10) => 1

[[1,2,3,3,4,4]] => [1,2,3,4,5,6] => [2,3,4,5,6,1] => ([(0,2),(0,5),(1,7),(2,6),(3,4),(3,9),(4,1),(4,8),(5,3),(5,6),(6,9),(8,7),(9,8)],10) => 1

[[1,2,3,4,4,4]] => [1,2,3,4,5,6] => [2,3,4,5,6,1] => ([(0,2),(0,5),(1,7),(2,6),(3,4),(3,9),(4,1),(4,8),(5,3),(5,6),(6,9),(8,7),(9,8)],10) => 1

[[1,2,4,4,4,4]] => [1,2,3,4,5,6] => [2,3,4,5,6,1] => ([(0,2),(0,5),(1,7),(2,6),(3,4),(3,9),(4,1),(4,8),(5,3),(5,6),(6,9),(8,7),(9,8)],10) => 1

[[1,3,3,3,3,4]] => [1,2,3,4,5,6] => [2,3,4,5,6,1] => ([(0,2),(0,5),(1,7),(2,6),(3,4),(3,9),(4,1),(4,8),(5,3),(5,6),(6,9),(8,7),(9,8)],10) => 1

[[1,3,3,3,4,4]] => [1,2,3,4,5,6] => [2,3,4,5,6,1] => ([(0,2),(0,5),(1,7),(2,6),(3,4),(3,9),(4,1),(4,8),(5,3),(5,6),(6,9),(8,7),(9,8)],10) => 1

[[1,3,3,4,4,4]] => [1,2,3,4,5,6] => [2,3,4,5,6,1] => ([(0,2),(0,5),(1,7),(2,6),(3,4),(3,9),(4,1),(4,8),(5,3),(5,6),(6,9),(8,7),(9,8)],10) => 1

[[1,3,4,4,4,4]] => [1,2,3,4,5,6] => [2,3,4,5,6,1] => ([(0,2),(0,5),(1,7),(2,6),(3,4),(3,9),(4,1),(4,8),(5,3),(5,6),(6,9),(8,7),(9,8)],10) => 1

[[1,4,4,4,4,4]] => [1,2,3,4,5,6] => [2,3,4,5,6,1] => ([(0,2),(0,5),(1,7),(2,6),(3,4),(3,9),(4,1),(4,8),(5,3),(5,6),(6,9),(8,7),(9,8)],10) => 1

[[2,2,2,2,2,4]] => [1,2,3,4,5,6] => [2,3,4,5,6,1] => ([(0,2),(0,5),(1,7),(2,6),(3,4),(3,9),(4,1),(4,8),(5,3),(5,6),(6,9),(8,7),(9,8)],10) => 1

[[2,2,2,2,3,4]] => [1,2,3,4,5,6] => [2,3,4,5,6,1] => ([(0,2),(0,5),(1,7),(2,6),(3,4),(3,9),(4,1),(4,8),(5,3),(5,6),(6,9),(8,7),(9,8)],10) => 1

[[2,2,2,2,4,4]] => [1,2,3,4,5,6] => [2,3,4,5,6,1] => ([(0,2),(0,5),(1,7),(2,6),(3,4),(3,9),(4,1),(4,8),(5,3),(5,6),(6,9),(8,7),(9,8)],10) => 1

[[2,2,2,3,3,4]] => [1,2,3,4,5,6] => [2,3,4,5,6,1] => ([(0,2),(0,5),(1,7),(2,6),(3,4),(3,9),(4,1),(4,8),(5,3),(5,6),(6,9),(8,7),(9,8)],10) => 1

[[2,2,2,3,4,4]] => [1,2,3,4,5,6] => [2,3,4,5,6,1] => ([(0,2),(0,5),(1,7),(2,6),(3,4),(3,9),(4,1),(4,8),(5,3),(5,6),(6,9),(8,7),(9,8)],10) => 1

[[2,2,2,4,4,4]] => [1,2,3,4,5,6] => [2,3,4,5,6,1] => ([(0,2),(0,5),(1,7),(2,6),(3,4),(3,9),(4,1),(4,8),(5,3),(5,6),(6,9),(8,7),(9,8)],10) => 1

[[2,2,3,3,3,4]] => [1,2,3,4,5,6] => [2,3,4,5,6,1] => ([(0,2),(0,5),(1,7),(2,6),(3,4),(3,9),(4,1),(4,8),(5,3),(5,6),(6,9),(8,7),(9,8)],10) => 1

[[2,2,3,3,4,4]] => [1,2,3,4,5,6] => [2,3,4,5,6,1] => ([(0,2),(0,5),(1,7),(2,6),(3,4),(3,9),(4,1),(4,8),(5,3),(5,6),(6,9),(8,7),(9,8)],10) => 1

[[2,2,3,4,4,4]] => [1,2,3,4,5,6] => [2,3,4,5,6,1] => ([(0,2),(0,5),(1,7),(2,6),(3,4),(3,9),(4,1),(4,8),(5,3),(5,6),(6,9),(8,7),(9,8)],10) => 1

[[2,2,4,4,4,4]] => [1,2,3,4,5,6] => [2,3,4,5,6,1] => ([(0,2),(0,5),(1,7),(2,6),(3,4),(3,9),(4,1),(4,8),(5,3),(5,6),(6,9),(8,7),(9,8)],10) => 1

[[2,3,3,3,3,4]] => [1,2,3,4,5,6] => [2,3,4,5,6,1] => ([(0,2),(0,5),(1,7),(2,6),(3,4),(3,9),(4,1),(4,8),(5,3),(5,6),(6,9),(8,7),(9,8)],10) => 1

[[2,3,3,3,4,4]] => [1,2,3,4,5,6] => [2,3,4,5,6,1] => ([(0,2),(0,5),(1,7),(2,6),(3,4),(3,9),(4,1),(4,8),(5,3),(5,6),(6,9),(8,7),(9,8)],10) => 1

[[2,3,3,4,4,4]] => [1,2,3,4,5,6] => [2,3,4,5,6,1] => ([(0,2),(0,5),(1,7),(2,6),(3,4),(3,9),(4,1),(4,8),(5,3),(5,6),(6,9),(8,7),(9,8)],10) => 1

[[2,3,4,4,4,4]] => [1,2,3,4,5,6] => [2,3,4,5,6,1] => ([(0,2),(0,5),(1,7),(2,6),(3,4),(3,9),(4,1),(4,8),(5,3),(5,6),(6,9),(8,7),(9,8)],10) => 1

[[2,4,4,4,4,4]] => [1,2,3,4,5,6] => [2,3,4,5,6,1] => ([(0,2),(0,5),(1,7),(2,6),(3,4),(3,9),(4,1),(4,8),(5,3),(5,6),(6,9),(8,7),(9,8)],10) => 1

[[3,3,3,3,3,4]] => [1,2,3,4,5,6] => [2,3,4,5,6,1] => ([(0,2),(0,5),(1,7),(2,6),(3,4),(3,9),(4,1),(4,8),(5,3),(5,6),(6,9),(8,7),(9,8)],10) => 1

[[3,3,3,3,4,4]] => [1,2,3,4,5,6] => [2,3,4,5,6,1] => ([(0,2),(0,5),(1,7),(2,6),(3,4),(3,9),(4,1),(4,8),(5,3),(5,6),(6,9),(8,7),(9,8)],10) => 1

[[3,3,3,4,4,4]] => [1,2,3,4,5,6] => [2,3,4,5,6,1] => ([(0,2),(0,5),(1,7),(2,6),(3,4),(3,9),(4,1),(4,8),(5,3),(5,6),(6,9),(8,7),(9,8)],10) => 1

[[3,3,4,4,4,4]] => [1,2,3,4,5,6] => [2,3,4,5,6,1] => ([(0,2),(0,5),(1,7),(2,6),(3,4),(3,9),(4,1),(4,8),(5,3),(5,6),(6,9),(8,7),(9,8)],10) => 1

[[3,4,4,4,4,4]] => [1,2,3,4,5,6] => [2,3,4,5,6,1] => ([(0,2),(0,5),(1,7),(2,6),(3,4),(3,9),(4,1),(4,8),(5,3),(5,6),(6,9),(8,7),(9,8)],10) => 1

[[4,4,4,4,4,4]] => [1,2,3,4,5,6] => [2,3,4,5,6,1] => ([(0,2),(0,5),(1,7),(2,6),(3,4),(3,9),(4,1),(4,8),(5,3),(5,6),(6,9),(8,7),(9,8)],10) => 1

[[1,1,1,1,4],[2]] => [5,1,2,3,4,6] => [3,4,5,6,2,1] => ([(0,4),(0,5),(1,9),(2,3),(2,11),(3,8),(4,1),(4,10),(5,2),(5,10),(7,6),(8,6),(9,7),(10,9),(10,11),(11,7),(11,8)],12) => 1

[[1,1,1,1,4],[3]] => [5,1,2,3,4,6] => [3,4,5,6,2,1] => ([(0,4),(0,5),(1,9),(2,3),(2,11),(3,8),(4,1),(4,10),(5,2),(5,10),(7,6),(8,6),(9,7),(10,9),(10,11),(11,7),(11,8)],12) => 1

[[1,1,1,1,4],[4]] => [5,1,2,3,4,6] => [3,4,5,6,2,1] => ([(0,4),(0,5),(1,9),(2,3),(2,11),(3,8),(4,1),(4,10),(5,2),(5,10),(7,6),(8,6),(9,7),(10,9),(10,11),(11,7),(11,8)],12) => 1

[[1,1,1,2,4],[3]] => [5,1,2,3,4,6] => [3,4,5,6,2,1] => ([(0,4),(0,5),(1,9),(2,3),(2,11),(3,8),(4,1),(4,10),(5,2),(5,10),(7,6),(8,6),(9,7),(10,9),(10,11),(11,7),(11,8)],12) => 1

[[1,1,1,2,4],[4]] => [5,1,2,3,4,6] => [3,4,5,6,2,1] => ([(0,4),(0,5),(1,9),(2,3),(2,11),(3,8),(4,1),(4,10),(5,2),(5,10),(7,6),(8,6),(9,7),(10,9),(10,11),(11,7),(11,8)],12) => 1

[[1,1,1,3,4],[4]] => [5,1,2,3,4,6] => [3,4,5,6,2,1] => ([(0,4),(0,5),(1,9),(2,3),(2,11),(3,8),(4,1),(4,10),(5,2),(5,10),(7,6),(8,6),(9,7),(10,9),(10,11),(11,7),(11,8)],12) => 1

[[1,1,2,2,4],[3]] => [5,1,2,3,4,6] => [3,4,5,6,2,1] => ([(0,4),(0,5),(1,9),(2,3),(2,11),(3,8),(4,1),(4,10),(5,2),(5,10),(7,6),(8,6),(9,7),(10,9),(10,11),(11,7),(11,8)],12) => 1

[[1,1,2,2,4],[4]] => [5,1,2,3,4,6] => [3,4,5,6,2,1] => ([(0,4),(0,5),(1,9),(2,3),(2,11),(3,8),(4,1),(4,10),(5,2),(5,10),(7,6),(8,6),(9,7),(10,9),(10,11),(11,7),(11,8)],12) => 1

[[1,1,2,3,4],[4]] => [5,1,2,3,4,6] => [3,4,5,6,2,1] => ([(0,4),(0,5),(1,9),(2,3),(2,11),(3,8),(4,1),(4,10),(5,2),(5,10),(7,6),(8,6),(9,7),(10,9),(10,11),(11,7),(11,8)],12) => 1

[[1,1,3,3,4],[4]] => [5,1,2,3,4,6] => [3,4,5,6,2,1] => ([(0,4),(0,5),(1,9),(2,3),(2,11),(3,8),(4,1),(4,10),(5,2),(5,10),(7,6),(8,6),(9,7),(10,9),(10,11),(11,7),(11,8)],12) => 1

[[1,2,2,2,4],[3]] => [5,1,2,3,4,6] => [3,4,5,6,2,1] => ([(0,4),(0,5),(1,9),(2,3),(2,11),(3,8),(4,1),(4,10),(5,2),(5,10),(7,6),(8,6),(9,7),(10,9),(10,11),(11,7),(11,8)],12) => 1

[[1,2,2,2,4],[4]] => [5,1,2,3,4,6] => [3,4,5,6,2,1] => ([(0,4),(0,5),(1,9),(2,3),(2,11),(3,8),(4,1),(4,10),(5,2),(5,10),(7,6),(8,6),(9,7),(10,9),(10,11),(11,7),(11,8)],12) => 1

[[1,2,2,3,4],[4]] => [5,1,2,3,4,6] => [3,4,5,6,2,1] => ([(0,4),(0,5),(1,9),(2,3),(2,11),(3,8),(4,1),(4,10),(5,2),(5,10),(7,6),(8,6),(9,7),(10,9),(10,11),(11,7),(11,8)],12) => 1

[[1,2,3,3,4],[4]] => [5,1,2,3,4,6] => [3,4,5,6,2,1] => ([(0,4),(0,5),(1,9),(2,3),(2,11),(3,8),(4,1),(4,10),(5,2),(5,10),(7,6),(8,6),(9,7),(10,9),(10,11),(11,7),(11,8)],12) => 1

[[1,3,3,3,4],[4]] => [5,1,2,3,4,6] => [3,4,5,6,2,1] => ([(0,4),(0,5),(1,9),(2,3),(2,11),(3,8),(4,1),(4,10),(5,2),(5,10),(7,6),(8,6),(9,7),(10,9),(10,11),(11,7),(11,8)],12) => 1

[[2,2,2,2,4],[3]] => [5,1,2,3,4,6] => [3,4,5,6,2,1] => ([(0,4),(0,5),(1,9),(2,3),(2,11),(3,8),(4,1),(4,10),(5,2),(5,10),(7,6),(8,6),(9,7),(10,9),(10,11),(11,7),(11,8)],12) => 1

[[2,2,2,2,4],[4]] => [5,1,2,3,4,6] => [3,4,5,6,2,1] => ([(0,4),(0,5),(1,9),(2,3),(2,11),(3,8),(4,1),(4,10),(5,2),(5,10),(7,6),(8,6),(9,7),(10,9),(10,11),(11,7),(11,8)],12) => 1

[[2,2,2,3,4],[4]] => [5,1,2,3,4,6] => [3,4,5,6,2,1] => ([(0,4),(0,5),(1,9),(2,3),(2,11),(3,8),(4,1),(4,10),(5,2),(5,10),(7,6),(8,6),(9,7),(10,9),(10,11),(11,7),(11,8)],12) => 1

[[2,2,3,3,4],[4]] => [5,1,2,3,4,6] => [3,4,5,6,2,1] => ([(0,4),(0,5),(1,9),(2,3),(2,11),(3,8),(4,1),(4,10),(5,2),(5,10),(7,6),(8,6),(9,7),(10,9),(10,11),(11,7),(11,8)],12) => 1

[[2,3,3,3,4],[4]] => [5,1,2,3,4,6] => [3,4,5,6,2,1] => ([(0,4),(0,5),(1,9),(2,3),(2,11),(3,8),(4,1),(4,10),(5,2),(5,10),(7,6),(8,6),(9,7),(10,9),(10,11),(11,7),(11,8)],12) => 1

[[3,3,3,3,4],[4]] => [5,1,2,3,4,6] => [3,4,5,6,2,1] => ([(0,4),(0,5),(1,9),(2,3),(2,11),(3,8),(4,1),(4,10),(5,2),(5,10),(7,6),(8,6),(9,7),(10,9),(10,11),(11,7),(11,8)],12) => 1

[[1,1,1,4],[2],[3]] => [5,4,1,2,3,6] => [4,5,6,3,2,1] => ([(0,4),(0,5),(1,9),(2,3),(2,11),(3,8),(4,1),(4,10),(5,2),(5,10),(7,6),(8,6),(9,7),(10,9),(10,11),(11,7),(11,8)],12) => 1

[[1,1,1,4],[2],[4]] => [5,4,1,2,3,6] => [4,5,6,3,2,1] => ([(0,4),(0,5),(1,9),(2,3),(2,11),(3,8),(4,1),(4,10),(5,2),(5,10),(7,6),(8,6),(9,7),(10,9),(10,11),(11,7),(11,8)],12) => 1

[[1,1,1,4],[3],[4]] => [5,4,1,2,3,6] => [4,5,6,3,2,1] => ([(0,4),(0,5),(1,9),(2,3),(2,11),(3,8),(4,1),(4,10),(5,2),(5,10),(7,6),(8,6),(9,7),(10,9),(10,11),(11,7),(11,8)],12) => 1

[[1,1,2,4],[3],[4]] => [5,4,1,2,3,6] => [4,5,6,3,2,1] => ([(0,4),(0,5),(1,9),(2,3),(2,11),(3,8),(4,1),(4,10),(5,2),(5,10),(7,6),(8,6),(9,7),(10,9),(10,11),(11,7),(11,8)],12) => 1

[[1,2,2,4],[3],[4]] => [5,4,1,2,3,6] => [4,5,6,3,2,1] => ([(0,4),(0,5),(1,9),(2,3),(2,11),(3,8),(4,1),(4,10),(5,2),(5,10),(7,6),(8,6),(9,7),(10,9),(10,11),(11,7),(11,8)],12) => 1

[[2,2,2,4],[3],[4]] => [5,4,1,2,3,6] => [4,5,6,3,2,1] => ([(0,4),(0,5),(1,9),(2,3),(2,11),(3,8),(4,1),(4,10),(5,2),(5,10),(7,6),(8,6),(9,7),(10,9),(10,11),(11,7),(11,8)],12) => 1

[[1,1,4],[2],[3],[4]] => [5,4,3,1,2,6] => [5,6,4,3,2,1] => ([(0,2),(0,5),(1,7),(2,6),(3,4),(3,9),(4,1),(4,8),(5,3),(5,6),(6,9),(8,7),(9,8)],10) => 1

[[1]] => [1] => [1] => ([],1) => 1

[[2]] => [1] => [1] => ([],1) => 1

[[1,1]] => [1,2] => [2,1] => ([(0,1)],2) => 1

[[3]] => [1] => [1] => ([],1) => 1

[[1,1,1]] => [1,2,3] => [2,3,1] => ([(0,1),(0,2),(1,3),(2,3)],4) => 1

[[4]] => [1] => [1] => ([],1) => 1

[[1,1,1,1]] => [1,2,3,4] => [2,3,4,1] => ([(0,2),(0,3),(1,5),(2,4),(3,1),(3,4),(4,5)],6) => 1

[[5]] => [1] => [1] => ([],1) => 1

[[1,1,1,1,1]] => [1,2,3,4,5] => [2,3,4,5,1] => ([(0,2),(0,4),(1,6),(2,5),(3,1),(3,7),(4,3),(4,5),(5,7),(7,6)],8) => 1

[[6]] => [1] => [1] => ([],1) => 1

[[1,1,1,1,1,1]] => [1,2,3,4,5,6] => [2,3,4,5,6,1] => ([(0,2),(0,5),(1,7),(2,6),(3,4),(3,9),(4,1),(4,8),(5,3),(5,6),(6,9),(8,7),(9,8)],10) => 1

[[1,2,3,4,5,6]] => [1,2,3,4,5,6] => [2,3,4,5,6,1] => ([(0,2),(0,5),(1,7),(2,6),(3,4),(3,9),(4,1),(4,8),(5,3),(5,6),(6,9),(8,7),(9,8)],10) => 1

[[1,2,3,4,6],[5]] => [5,1,2,3,4,6] => [3,4,5,6,2,1] => ([(0,4),(0,5),(1,9),(2,3),(2,11),(3,8),(4,1),(4,10),(5,2),(5,10),(7,6),(8,6),(9,7),(10,9),(10,11),(11,7),(11,8)],12) => 1

[[1,2,3,6],[4],[5]] => [5,4,1,2,3,6] => [4,5,6,3,2,1] => ([(0,4),(0,5),(1,9),(2,3),(2,11),(3,8),(4,1),(4,10),(5,2),(5,10),(7,6),(8,6),(9,7),(10,9),(10,11),(11,7),(11,8)],12) => 1

[[1,2,6],[3],[4],[5]] => [5,4,3,1,2,6] => [5,6,4,3,2,1] => ([(0,2),(0,5),(1,7),(2,6),(3,4),(3,9),(4,1),(4,8),(5,3),(5,6),(6,9),(8,7),(9,8)],10) => 1

[[1,5],[2],[3],[4],[6]] => [6,4,3,2,1,5] => [6,5,4,3,1,2] => ([(0,2),(0,5),(1,7),(2,6),(3,4),(3,9),(4,1),(4,8),(5,3),(5,6),(6,9),(8,7),(9,8)],10) => 1

[[1,6],[2],[3],[4],[5]] => [5,4,3,2,1,6] => [6,5,4,3,2,1] => ([(0,5),(2,4),(3,2),(4,1),(5,3)],6) => 1

[[1],[2],[3],[4],[5],[6]] => [6,5,4,3,2,1] => [1,6,5,4,3,2] => ([(0,2),(0,5),(1,7),(2,6),(3,4),(3,9),(4,1),(4,8),(5,3),(5,6),(6,9),(8,7),(9,8)],10) => 1

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Description

The number of minimal elements in a poset.

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pattern poset

Description

The pattern poset of a permutation.
This is the poset of all non-empty permutations that occur in the given permutation as a pattern, ordered by pattern containment.

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reading word permutation

Description

Return the permutation obtained by reading the entries of the tableau row by row, starting with the bottommost row (in English notation).

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Kreweras complement

Description

Sends the permutation $\pi \in \mathfrak{S}_n$ to the permutation $\pi^{-1}c$ where $c = (1,\ldots,n)$ is the long cycle.