- FindStat

Identifier

Mp00075: Semistandard tableaux —reading word permutation⟶ Permutations
Mp00160: Permutations —graph of inversions⟶ Graphs
Mp00247: Graphs —de-duplicate⟶ Graphs
St000259: Graphs ⟶ ℤ

Values

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

>>> Load all 1510 entries. <<<

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

[[1,2],[2],[6]] => [4,2,1,3] => ([(0,3),(1,2),(1,3),(2,3)],4) => ([(0,3),(1,2),(1,3),(2,3)],4) => 2

[[1,2],[3],[6]] => [4,3,1,2] => ([(0,2),(0,3),(1,2),(1,3),(2,3)],4) => ([(0,1),(0,2),(1,2)],3) => 1

[[1,3],[2],[6]] => [4,2,1,3] => ([(0,3),(1,2),(1,3),(2,3)],4) => ([(0,3),(1,2),(1,3),(2,3)],4) => 2

[[1,2],[4],[6]] => [4,3,1,2] => ([(0,2),(0,3),(1,2),(1,3),(2,3)],4) => ([(0,1),(0,2),(1,2)],3) => 1

[[1,4],[2],[6]] => [4,2,1,3] => ([(0,3),(1,2),(1,3),(2,3)],4) => ([(0,3),(1,2),(1,3),(2,3)],4) => 2

[[1,2],[5],[6]] => [4,3,1,2] => ([(0,2),(0,3),(1,2),(1,3),(2,3)],4) => ([(0,1),(0,2),(1,2)],3) => 1

[[1,5],[2],[6]] => [4,2,1,3] => ([(0,3),(1,2),(1,3),(2,3)],4) => ([(0,3),(1,2),(1,3),(2,3)],4) => 2

[[1,3],[3],[6]] => [4,2,1,3] => ([(0,3),(1,2),(1,3),(2,3)],4) => ([(0,3),(1,2),(1,3),(2,3)],4) => 2

[[1,3],[4],[6]] => [4,3,1,2] => ([(0,2),(0,3),(1,2),(1,3),(2,3)],4) => ([(0,1),(0,2),(1,2)],3) => 1

[[1,4],[3],[6]] => [4,2,1,3] => ([(0,3),(1,2),(1,3),(2,3)],4) => ([(0,3),(1,2),(1,3),(2,3)],4) => 2

[[1,3],[5],[6]] => [4,3,1,2] => ([(0,2),(0,3),(1,2),(1,3),(2,3)],4) => ([(0,1),(0,2),(1,2)],3) => 1

[[1,5],[3],[6]] => [4,2,1,3] => ([(0,3),(1,2),(1,3),(2,3)],4) => ([(0,3),(1,2),(1,3),(2,3)],4) => 2

[[1,4],[4],[6]] => [4,2,1,3] => ([(0,3),(1,2),(1,3),(2,3)],4) => ([(0,3),(1,2),(1,3),(2,3)],4) => 2

[[1,4],[5],[6]] => [4,3,1,2] => ([(0,2),(0,3),(1,2),(1,3),(2,3)],4) => ([(0,1),(0,2),(1,2)],3) => 1

[[1,5],[4],[6]] => [4,2,1,3] => ([(0,3),(1,2),(1,3),(2,3)],4) => ([(0,3),(1,2),(1,3),(2,3)],4) => 2

[[1,5],[5],[6]] => [4,2,1,3] => ([(0,3),(1,2),(1,3),(2,3)],4) => ([(0,3),(1,2),(1,3),(2,3)],4) => 2

[[2,2],[3],[6]] => [4,3,1,2] => ([(0,2),(0,3),(1,2),(1,3),(2,3)],4) => ([(0,1),(0,2),(1,2)],3) => 1

[[2,2],[4],[6]] => [4,3,1,2] => ([(0,2),(0,3),(1,2),(1,3),(2,3)],4) => ([(0,1),(0,2),(1,2)],3) => 1

[[2,2],[5],[6]] => [4,3,1,2] => ([(0,2),(0,3),(1,2),(1,3),(2,3)],4) => ([(0,1),(0,2),(1,2)],3) => 1

[[2,3],[3],[6]] => [4,2,1,3] => ([(0,3),(1,2),(1,3),(2,3)],4) => ([(0,3),(1,2),(1,3),(2,3)],4) => 2

[[2,3],[4],[6]] => [4,3,1,2] => ([(0,2),(0,3),(1,2),(1,3),(2,3)],4) => ([(0,1),(0,2),(1,2)],3) => 1

[[2,4],[3],[6]] => [4,2,1,3] => ([(0,3),(1,2),(1,3),(2,3)],4) => ([(0,3),(1,2),(1,3),(2,3)],4) => 2

[[2,3],[5],[6]] => [4,3,1,2] => ([(0,2),(0,3),(1,2),(1,3),(2,3)],4) => ([(0,1),(0,2),(1,2)],3) => 1

[[2,5],[3],[6]] => [4,2,1,3] => ([(0,3),(1,2),(1,3),(2,3)],4) => ([(0,3),(1,2),(1,3),(2,3)],4) => 2

[[2,4],[4],[6]] => [4,2,1,3] => ([(0,3),(1,2),(1,3),(2,3)],4) => ([(0,3),(1,2),(1,3),(2,3)],4) => 2

[[2,4],[5],[6]] => [4,3,1,2] => ([(0,2),(0,3),(1,2),(1,3),(2,3)],4) => ([(0,1),(0,2),(1,2)],3) => 1

[[2,5],[4],[6]] => [4,2,1,3] => ([(0,3),(1,2),(1,3),(2,3)],4) => ([(0,3),(1,2),(1,3),(2,3)],4) => 2

[[2,5],[5],[6]] => [4,2,1,3] => ([(0,3),(1,2),(1,3),(2,3)],4) => ([(0,3),(1,2),(1,3),(2,3)],4) => 2

[[3,3],[4],[6]] => [4,3,1,2] => ([(0,2),(0,3),(1,2),(1,3),(2,3)],4) => ([(0,1),(0,2),(1,2)],3) => 1

[[3,3],[5],[6]] => [4,3,1,2] => ([(0,2),(0,3),(1,2),(1,3),(2,3)],4) => ([(0,1),(0,2),(1,2)],3) => 1

[[3,4],[4],[6]] => [4,2,1,3] => ([(0,3),(1,2),(1,3),(2,3)],4) => ([(0,3),(1,2),(1,3),(2,3)],4) => 2

[[3,4],[5],[6]] => [4,3,1,2] => ([(0,2),(0,3),(1,2),(1,3),(2,3)],4) => ([(0,1),(0,2),(1,2)],3) => 1

[[3,5],[4],[6]] => [4,2,1,3] => ([(0,3),(1,2),(1,3),(2,3)],4) => ([(0,3),(1,2),(1,3),(2,3)],4) => 2

[[3,5],[5],[6]] => [4,2,1,3] => ([(0,3),(1,2),(1,3),(2,3)],4) => ([(0,3),(1,2),(1,3),(2,3)],4) => 2

[[4,4],[5],[6]] => [4,3,1,2] => ([(0,2),(0,3),(1,2),(1,3),(2,3)],4) => ([(0,1),(0,2),(1,2)],3) => 1

[[4,5],[5],[6]] => [4,2,1,3] => ([(0,3),(1,2),(1,3),(2,3)],4) => ([(0,3),(1,2),(1,3),(2,3)],4) => 2

[[1],[2],[3],[6]] => [4,3,2,1] => ([(0,1),(0,2),(0,3),(1,2),(1,3),(2,3)],4) => ([(0,1),(0,2),(0,3),(1,2),(1,3),(2,3)],4) => 1

[[1],[2],[4],[6]] => [4,3,2,1] => ([(0,1),(0,2),(0,3),(1,2),(1,3),(2,3)],4) => ([(0,1),(0,2),(0,3),(1,2),(1,3),(2,3)],4) => 1

[[1],[2],[5],[6]] => [4,3,2,1] => ([(0,1),(0,2),(0,3),(1,2),(1,3),(2,3)],4) => ([(0,1),(0,2),(0,3),(1,2),(1,3),(2,3)],4) => 1

[[1],[3],[4],[6]] => [4,3,2,1] => ([(0,1),(0,2),(0,3),(1,2),(1,3),(2,3)],4) => ([(0,1),(0,2),(0,3),(1,2),(1,3),(2,3)],4) => 1

[[1],[3],[5],[6]] => [4,3,2,1] => ([(0,1),(0,2),(0,3),(1,2),(1,3),(2,3)],4) => ([(0,1),(0,2),(0,3),(1,2),(1,3),(2,3)],4) => 1

[[1],[4],[5],[6]] => [4,3,2,1] => ([(0,1),(0,2),(0,3),(1,2),(1,3),(2,3)],4) => ([(0,1),(0,2),(0,3),(1,2),(1,3),(2,3)],4) => 1

[[2],[3],[4],[6]] => [4,3,2,1] => ([(0,1),(0,2),(0,3),(1,2),(1,3),(2,3)],4) => ([(0,1),(0,2),(0,3),(1,2),(1,3),(2,3)],4) => 1

[[2],[3],[5],[6]] => [4,3,2,1] => ([(0,1),(0,2),(0,3),(1,2),(1,3),(2,3)],4) => ([(0,1),(0,2),(0,3),(1,2),(1,3),(2,3)],4) => 1

[[2],[4],[5],[6]] => [4,3,2,1] => ([(0,1),(0,2),(0,3),(1,2),(1,3),(2,3)],4) => ([(0,1),(0,2),(0,3),(1,2),(1,3),(2,3)],4) => 1

[[3],[4],[5],[6]] => [4,3,2,1] => ([(0,1),(0,2),(0,3),(1,2),(1,3),(2,3)],4) => ([(0,1),(0,2),(0,3),(1,2),(1,3),(2,3)],4) => 1

[[1,1,1,1,5]] => [1,2,3,4,5] => ([],5) => ([],1) => 0

[[1,1,1,2,5]] => [1,2,3,4,5] => ([],5) => ([],1) => 0

[[1,1,1,3,5]] => [1,2,3,4,5] => ([],5) => ([],1) => 0

[[1,1,1,4,5]] => [1,2,3,4,5] => ([],5) => ([],1) => 0

[[1,1,1,5,5]] => [1,2,3,4,5] => ([],5) => ([],1) => 0

[[1,1,2,2,5]] => [1,2,3,4,5] => ([],5) => ([],1) => 0

[[1,1,2,3,5]] => [1,2,3,4,5] => ([],5) => ([],1) => 0

[[1,1,2,4,5]] => [1,2,3,4,5] => ([],5) => ([],1) => 0

[[1,1,2,5,5]] => [1,2,3,4,5] => ([],5) => ([],1) => 0

[[1,1,3,3,5]] => [1,2,3,4,5] => ([],5) => ([],1) => 0

[[1,1,3,4,5]] => [1,2,3,4,5] => ([],5) => ([],1) => 0

[[1,1,3,5,5]] => [1,2,3,4,5] => ([],5) => ([],1) => 0

[[1,1,4,4,5]] => [1,2,3,4,5] => ([],5) => ([],1) => 0

[[1,1,4,5,5]] => [1,2,3,4,5] => ([],5) => ([],1) => 0

[[1,1,5,5,5]] => [1,2,3,4,5] => ([],5) => ([],1) => 0

[[1,2,2,2,5]] => [1,2,3,4,5] => ([],5) => ([],1) => 0

[[1,2,2,3,5]] => [1,2,3,4,5] => ([],5) => ([],1) => 0

[[1,2,2,4,5]] => [1,2,3,4,5] => ([],5) => ([],1) => 0

[[1,2,2,5,5]] => [1,2,3,4,5] => ([],5) => ([],1) => 0

[[1,2,3,3,5]] => [1,2,3,4,5] => ([],5) => ([],1) => 0

[[1,2,3,4,5]] => [1,2,3,4,5] => ([],5) => ([],1) => 0

[[1,2,3,5,5]] => [1,2,3,4,5] => ([],5) => ([],1) => 0

[[1,2,4,4,5]] => [1,2,3,4,5] => ([],5) => ([],1) => 0

[[1,2,4,5,5]] => [1,2,3,4,5] => ([],5) => ([],1) => 0

[[1,2,5,5,5]] => [1,2,3,4,5] => ([],5) => ([],1) => 0

[[1,3,3,3,5]] => [1,2,3,4,5] => ([],5) => ([],1) => 0

[[1,3,3,4,5]] => [1,2,3,4,5] => ([],5) => ([],1) => 0

[[1,3,3,5,5]] => [1,2,3,4,5] => ([],5) => ([],1) => 0

[[1,3,4,4,5]] => [1,2,3,4,5] => ([],5) => ([],1) => 0

[[1,3,4,5,5]] => [1,2,3,4,5] => ([],5) => ([],1) => 0

[[1,3,5,5,5]] => [1,2,3,4,5] => ([],5) => ([],1) => 0

[[1,4,4,4,5]] => [1,2,3,4,5] => ([],5) => ([],1) => 0

[[1,4,4,5,5]] => [1,2,3,4,5] => ([],5) => ([],1) => 0

[[1,4,5,5,5]] => [1,2,3,4,5] => ([],5) => ([],1) => 0

[[1,5,5,5,5]] => [1,2,3,4,5] => ([],5) => ([],1) => 0

[[2,2,2,2,5]] => [1,2,3,4,5] => ([],5) => ([],1) => 0

[[2,2,2,3,5]] => [1,2,3,4,5] => ([],5) => ([],1) => 0

[[2,2,2,4,5]] => [1,2,3,4,5] => ([],5) => ([],1) => 0

[[2,2,2,5,5]] => [1,2,3,4,5] => ([],5) => ([],1) => 0

[[2,2,3,3,5]] => [1,2,3,4,5] => ([],5) => ([],1) => 0

[[2,2,3,4,5]] => [1,2,3,4,5] => ([],5) => ([],1) => 0

[[2,2,3,5,5]] => [1,2,3,4,5] => ([],5) => ([],1) => 0

[[2,2,4,4,5]] => [1,2,3,4,5] => ([],5) => ([],1) => 0

[[2,2,4,5,5]] => [1,2,3,4,5] => ([],5) => ([],1) => 0

[[2,2,5,5,5]] => [1,2,3,4,5] => ([],5) => ([],1) => 0

[[2,3,3,3,5]] => [1,2,3,4,5] => ([],5) => ([],1) => 0

[[2,3,3,4,5]] => [1,2,3,4,5] => ([],5) => ([],1) => 0

[[2,3,3,5,5]] => [1,2,3,4,5] => ([],5) => ([],1) => 0

[[2,3,4,4,5]] => [1,2,3,4,5] => ([],5) => ([],1) => 0

[[2,3,4,5,5]] => [1,2,3,4,5] => ([],5) => ([],1) => 0

[[2,3,5,5,5]] => [1,2,3,4,5] => ([],5) => ([],1) => 0

[[2,4,4,4,5]] => [1,2,3,4,5] => ([],5) => ([],1) => 0

[[2,4,4,5,5]] => [1,2,3,4,5] => ([],5) => ([],1) => 0

[[2,4,5,5,5]] => [1,2,3,4,5] => ([],5) => ([],1) => 0

[[2,5,5,5,5]] => [1,2,3,4,5] => ([],5) => ([],1) => 0

[[3,3,3,3,5]] => [1,2,3,4,5] => ([],5) => ([],1) => 0

[[3,3,3,4,5]] => [1,2,3,4,5] => ([],5) => ([],1) => 0

[[3,3,3,5,5]] => [1,2,3,4,5] => ([],5) => ([],1) => 0

[[3,3,4,4,5]] => [1,2,3,4,5] => ([],5) => ([],1) => 0

[[3,3,4,5,5]] => [1,2,3,4,5] => ([],5) => ([],1) => 0

[[3,3,5,5,5]] => [1,2,3,4,5] => ([],5) => ([],1) => 0

[[3,4,4,4,5]] => [1,2,3,4,5] => ([],5) => ([],1) => 0

[[3,4,4,5,5]] => [1,2,3,4,5] => ([],5) => ([],1) => 0

[[3,4,5,5,5]] => [1,2,3,4,5] => ([],5) => ([],1) => 0

[[3,5,5,5,5]] => [1,2,3,4,5] => ([],5) => ([],1) => 0

[[4,4,4,4,5]] => [1,2,3,4,5] => ([],5) => ([],1) => 0

[[4,4,4,5,5]] => [1,2,3,4,5] => ([],5) => ([],1) => 0

[[4,4,5,5,5]] => [1,2,3,4,5] => ([],5) => ([],1) => 0

[[4,5,5,5,5]] => [1,2,3,4,5] => ([],5) => ([],1) => 0

[[5,5,5,5,5]] => [1,2,3,4,5] => ([],5) => ([],1) => 0

[[1,1,1,1],[5]] => [5,1,2,3,4] => ([(0,4),(1,4),(2,4),(3,4)],5) => ([(0,1)],2) => 1

[[1,1,1,2],[5]] => [5,1,2,3,4] => ([(0,4),(1,4),(2,4),(3,4)],5) => ([(0,1)],2) => 1

[[1,1,1,3],[5]] => [5,1,2,3,4] => ([(0,4),(1,4),(2,4),(3,4)],5) => ([(0,1)],2) => 1

[[1,1,1,4],[5]] => [5,1,2,3,4] => ([(0,4),(1,4),(2,4),(3,4)],5) => ([(0,1)],2) => 1

[[1,1,2,2],[5]] => [5,1,2,3,4] => ([(0,4),(1,4),(2,4),(3,4)],5) => ([(0,1)],2) => 1

[[1,1,2,3],[5]] => [5,1,2,3,4] => ([(0,4),(1,4),(2,4),(3,4)],5) => ([(0,1)],2) => 1

[[1,1,2,4],[5]] => [5,1,2,3,4] => ([(0,4),(1,4),(2,4),(3,4)],5) => ([(0,1)],2) => 1

[[1,1,3,3],[5]] => [5,1,2,3,4] => ([(0,4),(1,4),(2,4),(3,4)],5) => ([(0,1)],2) => 1

[[1,1,3,4],[5]] => [5,1,2,3,4] => ([(0,4),(1,4),(2,4),(3,4)],5) => ([(0,1)],2) => 1

[[1,1,4,4],[5]] => [5,1,2,3,4] => ([(0,4),(1,4),(2,4),(3,4)],5) => ([(0,1)],2) => 1

[[1,2,2,2],[5]] => [5,1,2,3,4] => ([(0,4),(1,4),(2,4),(3,4)],5) => ([(0,1)],2) => 1

[[1,2,2,3],[5]] => [5,1,2,3,4] => ([(0,4),(1,4),(2,4),(3,4)],5) => ([(0,1)],2) => 1

[[1,2,2,4],[5]] => [5,1,2,3,4] => ([(0,4),(1,4),(2,4),(3,4)],5) => ([(0,1)],2) => 1

[[1,2,3,3],[5]] => [5,1,2,3,4] => ([(0,4),(1,4),(2,4),(3,4)],5) => ([(0,1)],2) => 1

[[1,2,3,4],[5]] => [5,1,2,3,4] => ([(0,4),(1,4),(2,4),(3,4)],5) => ([(0,1)],2) => 1

[[1,2,4,4],[5]] => [5,1,2,3,4] => ([(0,4),(1,4),(2,4),(3,4)],5) => ([(0,1)],2) => 1

[[1,3,3,3],[5]] => [5,1,2,3,4] => ([(0,4),(1,4),(2,4),(3,4)],5) => ([(0,1)],2) => 1

[[1,3,3,4],[5]] => [5,1,2,3,4] => ([(0,4),(1,4),(2,4),(3,4)],5) => ([(0,1)],2) => 1

[[1,3,4,4],[5]] => [5,1,2,3,4] => ([(0,4),(1,4),(2,4),(3,4)],5) => ([(0,1)],2) => 1

[[1,4,4,4],[5]] => [5,1,2,3,4] => ([(0,4),(1,4),(2,4),(3,4)],5) => ([(0,1)],2) => 1

[[2,2,2,2],[5]] => [5,1,2,3,4] => ([(0,4),(1,4),(2,4),(3,4)],5) => ([(0,1)],2) => 1

[[2,2,2,3],[5]] => [5,1,2,3,4] => ([(0,4),(1,4),(2,4),(3,4)],5) => ([(0,1)],2) => 1

[[2,2,2,4],[5]] => [5,1,2,3,4] => ([(0,4),(1,4),(2,4),(3,4)],5) => ([(0,1)],2) => 1

[[2,2,3,3],[5]] => [5,1,2,3,4] => ([(0,4),(1,4),(2,4),(3,4)],5) => ([(0,1)],2) => 1

[[2,2,3,4],[5]] => [5,1,2,3,4] => ([(0,4),(1,4),(2,4),(3,4)],5) => ([(0,1)],2) => 1

[[2,2,4,4],[5]] => [5,1,2,3,4] => ([(0,4),(1,4),(2,4),(3,4)],5) => ([(0,1)],2) => 1

[[2,3,3,3],[5]] => [5,1,2,3,4] => ([(0,4),(1,4),(2,4),(3,4)],5) => ([(0,1)],2) => 1

[[2,3,3,4],[5]] => [5,1,2,3,4] => ([(0,4),(1,4),(2,4),(3,4)],5) => ([(0,1)],2) => 1

[[2,3,4,4],[5]] => [5,1,2,3,4] => ([(0,4),(1,4),(2,4),(3,4)],5) => ([(0,1)],2) => 1

[[2,4,4,4],[5]] => [5,1,2,3,4] => ([(0,4),(1,4),(2,4),(3,4)],5) => ([(0,1)],2) => 1

[[3,3,3,3],[5]] => [5,1,2,3,4] => ([(0,4),(1,4),(2,4),(3,4)],5) => ([(0,1)],2) => 1

[[3,3,3,4],[5]] => [5,1,2,3,4] => ([(0,4),(1,4),(2,4),(3,4)],5) => ([(0,1)],2) => 1

[[3,3,4,4],[5]] => [5,1,2,3,4] => ([(0,4),(1,4),(2,4),(3,4)],5) => ([(0,1)],2) => 1

[[3,4,4,4],[5]] => [5,1,2,3,4] => ([(0,4),(1,4),(2,4),(3,4)],5) => ([(0,1)],2) => 1

[[4,4,4,4],[5]] => [5,1,2,3,4] => ([(0,4),(1,4),(2,4),(3,4)],5) => ([(0,1)],2) => 1

[[1,1,1],[2,5]] => [4,5,1,2,3] => ([(0,3),(0,4),(1,3),(1,4),(2,3),(2,4)],5) => ([(0,1)],2) => 1

[[1,1,1],[3,5]] => [4,5,1,2,3] => ([(0,3),(0,4),(1,3),(1,4),(2,3),(2,4)],5) => ([(0,1)],2) => 1

[[1,1,1],[4,5]] => [4,5,1,2,3] => ([(0,3),(0,4),(1,3),(1,4),(2,3),(2,4)],5) => ([(0,1)],2) => 1

[[1,1,1],[5,5]] => [4,5,1,2,3] => ([(0,3),(0,4),(1,3),(1,4),(2,3),(2,4)],5) => ([(0,1)],2) => 1

[[1,1,2],[2,5]] => [3,5,1,2,4] => ([(0,4),(1,2),(1,3),(2,4),(3,4)],5) => ([(0,3),(1,2),(2,3)],4) => 3

[[1,1,2],[3,5]] => [4,5,1,2,3] => ([(0,3),(0,4),(1,3),(1,4),(2,3),(2,4)],5) => ([(0,1)],2) => 1

[[1,1,3],[2,5]] => [3,5,1,2,4] => ([(0,4),(1,2),(1,3),(2,4),(3,4)],5) => ([(0,3),(1,2),(2,3)],4) => 3

[[1,1,2],[4,5]] => [4,5,1,2,3] => ([(0,3),(0,4),(1,3),(1,4),(2,3),(2,4)],5) => ([(0,1)],2) => 1

[[1,1,4],[2,5]] => [3,5,1,2,4] => ([(0,4),(1,2),(1,3),(2,4),(3,4)],5) => ([(0,3),(1,2),(2,3)],4) => 3

[[1,1,2],[5,5]] => [4,5,1,2,3] => ([(0,3),(0,4),(1,3),(1,4),(2,3),(2,4)],5) => ([(0,1)],2) => 1

[[1,1,3],[3,5]] => [3,5,1,2,4] => ([(0,4),(1,2),(1,3),(2,4),(3,4)],5) => ([(0,3),(1,2),(2,3)],4) => 3

[[1,1,3],[4,5]] => [4,5,1,2,3] => ([(0,3),(0,4),(1,3),(1,4),(2,3),(2,4)],5) => ([(0,1)],2) => 1

[[1,1,4],[3,5]] => [3,5,1,2,4] => ([(0,4),(1,2),(1,3),(2,4),(3,4)],5) => ([(0,3),(1,2),(2,3)],4) => 3

[[1,1,3],[5,5]] => [4,5,1,2,3] => ([(0,3),(0,4),(1,3),(1,4),(2,3),(2,4)],5) => ([(0,1)],2) => 1

[[1,1,4],[4,5]] => [3,5,1,2,4] => ([(0,4),(1,2),(1,3),(2,4),(3,4)],5) => ([(0,3),(1,2),(2,3)],4) => 3

[[1,1,4],[5,5]] => [4,5,1,2,3] => ([(0,3),(0,4),(1,3),(1,4),(2,3),(2,4)],5) => ([(0,1)],2) => 1

[[1,2,2],[2,5]] => [2,5,1,3,4] => ([(0,4),(1,4),(2,3),(3,4)],5) => ([(0,3),(1,2),(2,3)],4) => 3

[[1,2,2],[3,5]] => [4,5,1,2,3] => ([(0,3),(0,4),(1,3),(1,4),(2,3),(2,4)],5) => ([(0,1)],2) => 1

[[1,2,3],[2,5]] => [2,5,1,3,4] => ([(0,4),(1,4),(2,3),(3,4)],5) => ([(0,3),(1,2),(2,3)],4) => 3

[[1,2,2],[4,5]] => [4,5,1,2,3] => ([(0,3),(0,4),(1,3),(1,4),(2,3),(2,4)],5) => ([(0,1)],2) => 1

[[1,2,4],[2,5]] => [2,5,1,3,4] => ([(0,4),(1,4),(2,3),(3,4)],5) => ([(0,3),(1,2),(2,3)],4) => 3

[[1,2,2],[5,5]] => [4,5,1,2,3] => ([(0,3),(0,4),(1,3),(1,4),(2,3),(2,4)],5) => ([(0,1)],2) => 1

[[1,2,3],[3,5]] => [3,5,1,2,4] => ([(0,4),(1,2),(1,3),(2,4),(3,4)],5) => ([(0,3),(1,2),(2,3)],4) => 3

[[1,3,3],[2,5]] => [2,5,1,3,4] => ([(0,4),(1,4),(2,3),(3,4)],5) => ([(0,3),(1,2),(2,3)],4) => 3

[[1,2,3],[4,5]] => [4,5,1,2,3] => ([(0,3),(0,4),(1,3),(1,4),(2,3),(2,4)],5) => ([(0,1)],2) => 1

[[1,2,4],[3,5]] => [3,5,1,2,4] => ([(0,4),(1,2),(1,3),(2,4),(3,4)],5) => ([(0,3),(1,2),(2,3)],4) => 3

[[1,3,4],[2,5]] => [2,5,1,3,4] => ([(0,4),(1,4),(2,3),(3,4)],5) => ([(0,3),(1,2),(2,3)],4) => 3

[[1,2,3],[5,5]] => [4,5,1,2,3] => ([(0,3),(0,4),(1,3),(1,4),(2,3),(2,4)],5) => ([(0,1)],2) => 1

[[1,2,4],[4,5]] => [3,5,1,2,4] => ([(0,4),(1,2),(1,3),(2,4),(3,4)],5) => ([(0,3),(1,2),(2,3)],4) => 3

[[1,4,4],[2,5]] => [2,5,1,3,4] => ([(0,4),(1,4),(2,3),(3,4)],5) => ([(0,3),(1,2),(2,3)],4) => 3

[[1,2,4],[5,5]] => [4,5,1,2,3] => ([(0,3),(0,4),(1,3),(1,4),(2,3),(2,4)],5) => ([(0,1)],2) => 1

[[1,3,3],[3,5]] => [2,5,1,3,4] => ([(0,4),(1,4),(2,3),(3,4)],5) => ([(0,3),(1,2),(2,3)],4) => 3

[[1,3,3],[4,5]] => [4,5,1,2,3] => ([(0,3),(0,4),(1,3),(1,4),(2,3),(2,4)],5) => ([(0,1)],2) => 1

[[1,3,4],[3,5]] => [2,5,1,3,4] => ([(0,4),(1,4),(2,3),(3,4)],5) => ([(0,3),(1,2),(2,3)],4) => 3

[[1,3,3],[5,5]] => [4,5,1,2,3] => ([(0,3),(0,4),(1,3),(1,4),(2,3),(2,4)],5) => ([(0,1)],2) => 1

[[1,3,4],[4,5]] => [3,5,1,2,4] => ([(0,4),(1,2),(1,3),(2,4),(3,4)],5) => ([(0,3),(1,2),(2,3)],4) => 3

[[1,4,4],[3,5]] => [2,5,1,3,4] => ([(0,4),(1,4),(2,3),(3,4)],5) => ([(0,3),(1,2),(2,3)],4) => 3

[[1,3,4],[5,5]] => [4,5,1,2,3] => ([(0,3),(0,4),(1,3),(1,4),(2,3),(2,4)],5) => ([(0,1)],2) => 1

[[1,4,4],[4,5]] => [2,5,1,3,4] => ([(0,4),(1,4),(2,3),(3,4)],5) => ([(0,3),(1,2),(2,3)],4) => 3

[[1,4,4],[5,5]] => [4,5,1,2,3] => ([(0,3),(0,4),(1,3),(1,4),(2,3),(2,4)],5) => ([(0,1)],2) => 1

[[2,2,2],[3,5]] => [4,5,1,2,3] => ([(0,3),(0,4),(1,3),(1,4),(2,3),(2,4)],5) => ([(0,1)],2) => 1

[[2,2,2],[4,5]] => [4,5,1,2,3] => ([(0,3),(0,4),(1,3),(1,4),(2,3),(2,4)],5) => ([(0,1)],2) => 1

[[2,2,2],[5,5]] => [4,5,1,2,3] => ([(0,3),(0,4),(1,3),(1,4),(2,3),(2,4)],5) => ([(0,1)],2) => 1

[[2,2,3],[3,5]] => [3,5,1,2,4] => ([(0,4),(1,2),(1,3),(2,4),(3,4)],5) => ([(0,3),(1,2),(2,3)],4) => 3

[[2,2,3],[4,5]] => [4,5,1,2,3] => ([(0,3),(0,4),(1,3),(1,4),(2,3),(2,4)],5) => ([(0,1)],2) => 1

[[2,2,4],[3,5]] => [3,5,1,2,4] => ([(0,4),(1,2),(1,3),(2,4),(3,4)],5) => ([(0,3),(1,2),(2,3)],4) => 3

[[2,2,3],[5,5]] => [4,5,1,2,3] => ([(0,3),(0,4),(1,3),(1,4),(2,3),(2,4)],5) => ([(0,1)],2) => 1

[[2,2,4],[4,5]] => [3,5,1,2,4] => ([(0,4),(1,2),(1,3),(2,4),(3,4)],5) => ([(0,3),(1,2),(2,3)],4) => 3

[[2,2,4],[5,5]] => [4,5,1,2,3] => ([(0,3),(0,4),(1,3),(1,4),(2,3),(2,4)],5) => ([(0,1)],2) => 1

[[2,3,3],[3,5]] => [2,5,1,3,4] => ([(0,4),(1,4),(2,3),(3,4)],5) => ([(0,3),(1,2),(2,3)],4) => 3

[[2,3,3],[4,5]] => [4,5,1,2,3] => ([(0,3),(0,4),(1,3),(1,4),(2,3),(2,4)],5) => ([(0,1)],2) => 1

[[2,3,4],[3,5]] => [2,5,1,3,4] => ([(0,4),(1,4),(2,3),(3,4)],5) => ([(0,3),(1,2),(2,3)],4) => 3

[[2,3,3],[5,5]] => [4,5,1,2,3] => ([(0,3),(0,4),(1,3),(1,4),(2,3),(2,4)],5) => ([(0,1)],2) => 1

[[2,3,4],[4,5]] => [3,5,1,2,4] => ([(0,4),(1,2),(1,3),(2,4),(3,4)],5) => ([(0,3),(1,2),(2,3)],4) => 3

[[2,4,4],[3,5]] => [2,5,1,3,4] => ([(0,4),(1,4),(2,3),(3,4)],5) => ([(0,3),(1,2),(2,3)],4) => 3

[[2,3,4],[5,5]] => [4,5,1,2,3] => ([(0,3),(0,4),(1,3),(1,4),(2,3),(2,4)],5) => ([(0,1)],2) => 1

[[2,4,4],[4,5]] => [2,5,1,3,4] => ([(0,4),(1,4),(2,3),(3,4)],5) => ([(0,3),(1,2),(2,3)],4) => 3

[[2,4,4],[5,5]] => [4,5,1,2,3] => ([(0,3),(0,4),(1,3),(1,4),(2,3),(2,4)],5) => ([(0,1)],2) => 1

[[3,3,3],[4,5]] => [4,5,1,2,3] => ([(0,3),(0,4),(1,3),(1,4),(2,3),(2,4)],5) => ([(0,1)],2) => 1

[[3,3,3],[5,5]] => [4,5,1,2,3] => ([(0,3),(0,4),(1,3),(1,4),(2,3),(2,4)],5) => ([(0,1)],2) => 1

[[3,3,4],[4,5]] => [3,5,1,2,4] => ([(0,4),(1,2),(1,3),(2,4),(3,4)],5) => ([(0,3),(1,2),(2,3)],4) => 3

[[3,3,4],[5,5]] => [4,5,1,2,3] => ([(0,3),(0,4),(1,3),(1,4),(2,3),(2,4)],5) => ([(0,1)],2) => 1

[[3,4,4],[4,5]] => [2,5,1,3,4] => ([(0,4),(1,4),(2,3),(3,4)],5) => ([(0,3),(1,2),(2,3)],4) => 3

[[3,4,4],[5,5]] => [4,5,1,2,3] => ([(0,3),(0,4),(1,3),(1,4),(2,3),(2,4)],5) => ([(0,1)],2) => 1

[[4,4,4],[5,5]] => [4,5,1,2,3] => ([(0,3),(0,4),(1,3),(1,4),(2,3),(2,4)],5) => ([(0,1)],2) => 1

[[1,1,1],[2],[5]] => [5,4,1,2,3] => ([(0,3),(0,4),(1,3),(1,4),(2,3),(2,4),(3,4)],5) => ([(0,1),(0,2),(1,2)],3) => 1

[[1,1,1],[3],[5]] => [5,4,1,2,3] => ([(0,3),(0,4),(1,3),(1,4),(2,3),(2,4),(3,4)],5) => ([(0,1),(0,2),(1,2)],3) => 1

[[1,1,1],[4],[5]] => [5,4,1,2,3] => ([(0,3),(0,4),(1,3),(1,4),(2,3),(2,4),(3,4)],5) => ([(0,1),(0,2),(1,2)],3) => 1

[[1,1,2],[2],[5]] => [5,3,1,2,4] => ([(0,4),(1,3),(1,4),(2,3),(2,4),(3,4)],5) => ([(0,3),(1,2),(1,3),(2,3)],4) => 2

[[1,1,2],[3],[5]] => [5,4,1,2,3] => ([(0,3),(0,4),(1,3),(1,4),(2,3),(2,4),(3,4)],5) => ([(0,1),(0,2),(1,2)],3) => 1

[[1,1,3],[2],[5]] => [5,3,1,2,4] => ([(0,4),(1,3),(1,4),(2,3),(2,4),(3,4)],5) => ([(0,3),(1,2),(1,3),(2,3)],4) => 2

[[1,1,2],[4],[5]] => [5,4,1,2,3] => ([(0,3),(0,4),(1,3),(1,4),(2,3),(2,4),(3,4)],5) => ([(0,1),(0,2),(1,2)],3) => 1

[[1,1,4],[2],[5]] => [5,3,1,2,4] => ([(0,4),(1,3),(1,4),(2,3),(2,4),(3,4)],5) => ([(0,3),(1,2),(1,3),(2,3)],4) => 2

[[1,1,3],[3],[5]] => [5,3,1,2,4] => ([(0,4),(1,3),(1,4),(2,3),(2,4),(3,4)],5) => ([(0,3),(1,2),(1,3),(2,3)],4) => 2

[[1,1,3],[4],[5]] => [5,4,1,2,3] => ([(0,3),(0,4),(1,3),(1,4),(2,3),(2,4),(3,4)],5) => ([(0,1),(0,2),(1,2)],3) => 1

[[1,1,4],[3],[5]] => [5,3,1,2,4] => ([(0,4),(1,3),(1,4),(2,3),(2,4),(3,4)],5) => ([(0,3),(1,2),(1,3),(2,3)],4) => 2

[[1,1,4],[4],[5]] => [5,3,1,2,4] => ([(0,4),(1,3),(1,4),(2,3),(2,4),(3,4)],5) => ([(0,3),(1,2),(1,3),(2,3)],4) => 2

[[1,2,2],[2],[5]] => [5,2,1,3,4] => ([(0,4),(1,4),(2,3),(2,4),(3,4)],5) => ([(0,3),(1,2),(1,3),(2,3)],4) => 2

[[1,2,2],[3],[5]] => [5,4,1,2,3] => ([(0,3),(0,4),(1,3),(1,4),(2,3),(2,4),(3,4)],5) => ([(0,1),(0,2),(1,2)],3) => 1

[[1,2,3],[2],[5]] => [5,2,1,3,4] => ([(0,4),(1,4),(2,3),(2,4),(3,4)],5) => ([(0,3),(1,2),(1,3),(2,3)],4) => 2

[[1,2,2],[4],[5]] => [5,4,1,2,3] => ([(0,3),(0,4),(1,3),(1,4),(2,3),(2,4),(3,4)],5) => ([(0,1),(0,2),(1,2)],3) => 1

[[1,2,4],[2],[5]] => [5,2,1,3,4] => ([(0,4),(1,4),(2,3),(2,4),(3,4)],5) => ([(0,3),(1,2),(1,3),(2,3)],4) => 2

[[1,2,3],[3],[5]] => [5,3,1,2,4] => ([(0,4),(1,3),(1,4),(2,3),(2,4),(3,4)],5) => ([(0,3),(1,2),(1,3),(2,3)],4) => 2

[[1,3,3],[2],[5]] => [5,2,1,3,4] => ([(0,4),(1,4),(2,3),(2,4),(3,4)],5) => ([(0,3),(1,2),(1,3),(2,3)],4) => 2

[[1,2,3],[4],[5]] => [5,4,1,2,3] => ([(0,3),(0,4),(1,3),(1,4),(2,3),(2,4),(3,4)],5) => ([(0,1),(0,2),(1,2)],3) => 1

[[1,2,4],[3],[5]] => [5,3,1,2,4] => ([(0,4),(1,3),(1,4),(2,3),(2,4),(3,4)],5) => ([(0,3),(1,2),(1,3),(2,3)],4) => 2

[[1,3,4],[2],[5]] => [5,2,1,3,4] => ([(0,4),(1,4),(2,3),(2,4),(3,4)],5) => ([(0,3),(1,2),(1,3),(2,3)],4) => 2

[[1,2,4],[4],[5]] => [5,3,1,2,4] => ([(0,4),(1,3),(1,4),(2,3),(2,4),(3,4)],5) => ([(0,3),(1,2),(1,3),(2,3)],4) => 2

[[1,4,4],[2],[5]] => [5,2,1,3,4] => ([(0,4),(1,4),(2,3),(2,4),(3,4)],5) => ([(0,3),(1,2),(1,3),(2,3)],4) => 2

[[1,3,3],[3],[5]] => [5,2,1,3,4] => ([(0,4),(1,4),(2,3),(2,4),(3,4)],5) => ([(0,3),(1,2),(1,3),(2,3)],4) => 2

[[1,3,3],[4],[5]] => [5,4,1,2,3] => ([(0,3),(0,4),(1,3),(1,4),(2,3),(2,4),(3,4)],5) => ([(0,1),(0,2),(1,2)],3) => 1

[[1,3,4],[3],[5]] => [5,2,1,3,4] => ([(0,4),(1,4),(2,3),(2,4),(3,4)],5) => ([(0,3),(1,2),(1,3),(2,3)],4) => 2

[[1,3,4],[4],[5]] => [5,3,1,2,4] => ([(0,4),(1,3),(1,4),(2,3),(2,4),(3,4)],5) => ([(0,3),(1,2),(1,3),(2,3)],4) => 2

[[1,4,4],[3],[5]] => [5,2,1,3,4] => ([(0,4),(1,4),(2,3),(2,4),(3,4)],5) => ([(0,3),(1,2),(1,3),(2,3)],4) => 2

[[1,4,4],[4],[5]] => [5,2,1,3,4] => ([(0,4),(1,4),(2,3),(2,4),(3,4)],5) => ([(0,3),(1,2),(1,3),(2,3)],4) => 2

[[2,2,2],[3],[5]] => [5,4,1,2,3] => ([(0,3),(0,4),(1,3),(1,4),(2,3),(2,4),(3,4)],5) => ([(0,1),(0,2),(1,2)],3) => 1

[[2,2,2],[4],[5]] => [5,4,1,2,3] => ([(0,3),(0,4),(1,3),(1,4),(2,3),(2,4),(3,4)],5) => ([(0,1),(0,2),(1,2)],3) => 1

[[2,2,3],[3],[5]] => [5,3,1,2,4] => ([(0,4),(1,3),(1,4),(2,3),(2,4),(3,4)],5) => ([(0,3),(1,2),(1,3),(2,3)],4) => 2

[[2,2,3],[4],[5]] => [5,4,1,2,3] => ([(0,3),(0,4),(1,3),(1,4),(2,3),(2,4),(3,4)],5) => ([(0,1),(0,2),(1,2)],3) => 1

[[2,2,4],[3],[5]] => [5,3,1,2,4] => ([(0,4),(1,3),(1,4),(2,3),(2,4),(3,4)],5) => ([(0,3),(1,2),(1,3),(2,3)],4) => 2

[[2,2,4],[4],[5]] => [5,3,1,2,4] => ([(0,4),(1,3),(1,4),(2,3),(2,4),(3,4)],5) => ([(0,3),(1,2),(1,3),(2,3)],4) => 2

[[2,3,3],[3],[5]] => [5,2,1,3,4] => ([(0,4),(1,4),(2,3),(2,4),(3,4)],5) => ([(0,3),(1,2),(1,3),(2,3)],4) => 2

[[2,3,3],[4],[5]] => [5,4,1,2,3] => ([(0,3),(0,4),(1,3),(1,4),(2,3),(2,4),(3,4)],5) => ([(0,1),(0,2),(1,2)],3) => 1

[[2,3,4],[3],[5]] => [5,2,1,3,4] => ([(0,4),(1,4),(2,3),(2,4),(3,4)],5) => ([(0,3),(1,2),(1,3),(2,3)],4) => 2

[[2,3,4],[4],[5]] => [5,3,1,2,4] => ([(0,4),(1,3),(1,4),(2,3),(2,4),(3,4)],5) => ([(0,3),(1,2),(1,3),(2,3)],4) => 2

[[2,4,4],[3],[5]] => [5,2,1,3,4] => ([(0,4),(1,4),(2,3),(2,4),(3,4)],5) => ([(0,3),(1,2),(1,3),(2,3)],4) => 2

[[2,4,4],[4],[5]] => [5,2,1,3,4] => ([(0,4),(1,4),(2,3),(2,4),(3,4)],5) => ([(0,3),(1,2),(1,3),(2,3)],4) => 2

[[3,3,3],[4],[5]] => [5,4,1,2,3] => ([(0,3),(0,4),(1,3),(1,4),(2,3),(2,4),(3,4)],5) => ([(0,1),(0,2),(1,2)],3) => 1

[[3,3,4],[4],[5]] => [5,3,1,2,4] => ([(0,4),(1,3),(1,4),(2,3),(2,4),(3,4)],5) => ([(0,3),(1,2),(1,3),(2,3)],4) => 2

[[3,4,4],[4],[5]] => [5,2,1,3,4] => ([(0,4),(1,4),(2,3),(2,4),(3,4)],5) => ([(0,3),(1,2),(1,3),(2,3)],4) => 2

[[1,1],[2,2],[5]] => [5,3,4,1,2] => ([(0,2),(0,3),(0,4),(1,2),(1,3),(1,4),(2,4),(3,4)],5) => ([(0,1),(0,2),(1,2)],3) => 1

[[1,1],[2,3],[5]] => [5,3,4,1,2] => ([(0,2),(0,3),(0,4),(1,2),(1,3),(1,4),(2,4),(3,4)],5) => ([(0,1),(0,2),(1,2)],3) => 1

[[1,1],[2,5],[3]] => [4,3,5,1,2] => ([(0,3),(0,4),(1,2),(1,3),(1,4),(2,3),(2,4)],5) => ([(0,3),(1,2),(1,3),(2,3)],4) => 2

[[1,1],[2,4],[5]] => [5,3,4,1,2] => ([(0,2),(0,3),(0,4),(1,2),(1,3),(1,4),(2,4),(3,4)],5) => ([(0,1),(0,2),(1,2)],3) => 1

[[1,1],[2,5],[4]] => [4,3,5,1,2] => ([(0,3),(0,4),(1,2),(1,3),(1,4),(2,3),(2,4)],5) => ([(0,3),(1,2),(1,3),(2,3)],4) => 2

[[1,1],[2,5],[5]] => [4,3,5,1,2] => ([(0,3),(0,4),(1,2),(1,3),(1,4),(2,3),(2,4)],5) => ([(0,3),(1,2),(1,3),(2,3)],4) => 2

[[1,1],[3,3],[5]] => [5,3,4,1,2] => ([(0,2),(0,3),(0,4),(1,2),(1,3),(1,4),(2,4),(3,4)],5) => ([(0,1),(0,2),(1,2)],3) => 1

[[1,1],[3,4],[5]] => [5,3,4,1,2] => ([(0,2),(0,3),(0,4),(1,2),(1,3),(1,4),(2,4),(3,4)],5) => ([(0,1),(0,2),(1,2)],3) => 1

[[1,1],[3,5],[4]] => [4,3,5,1,2] => ([(0,3),(0,4),(1,2),(1,3),(1,4),(2,3),(2,4)],5) => ([(0,3),(1,2),(1,3),(2,3)],4) => 2

[[1,1],[3,5],[5]] => [4,3,5,1,2] => ([(0,3),(0,4),(1,2),(1,3),(1,4),(2,3),(2,4)],5) => ([(0,3),(1,2),(1,3),(2,3)],4) => 2

[[1,1],[4,4],[5]] => [5,3,4,1,2] => ([(0,2),(0,3),(0,4),(1,2),(1,3),(1,4),(2,4),(3,4)],5) => ([(0,1),(0,2),(1,2)],3) => 1

[[1,1],[4,5],[5]] => [4,3,5,1,2] => ([(0,3),(0,4),(1,2),(1,3),(1,4),(2,3),(2,4)],5) => ([(0,3),(1,2),(1,3),(2,3)],4) => 2

[[1,2],[2,3],[5]] => [5,2,4,1,3] => ([(0,3),(0,4),(1,2),(1,4),(2,3),(2,4),(3,4)],5) => ([(0,3),(0,4),(1,2),(1,4),(2,3),(2,4),(3,4)],5) => 2

[[1,2],[2,5],[3]] => [4,2,5,1,3] => ([(0,1),(0,4),(1,3),(2,3),(2,4),(3,4)],5) => ([(0,1),(0,4),(1,3),(2,3),(2,4),(3,4)],5) => 2

[[1,2],[2,4],[5]] => [5,2,4,1,3] => ([(0,3),(0,4),(1,2),(1,4),(2,3),(2,4),(3,4)],5) => ([(0,3),(0,4),(1,2),(1,4),(2,3),(2,4),(3,4)],5) => 2

[[1,2],[2,5],[4]] => [4,2,5,1,3] => ([(0,1),(0,4),(1,3),(2,3),(2,4),(3,4)],5) => ([(0,1),(0,4),(1,3),(2,3),(2,4),(3,4)],5) => 2

[[1,2],[2,5],[5]] => [4,2,5,1,3] => ([(0,1),(0,4),(1,3),(2,3),(2,4),(3,4)],5) => ([(0,1),(0,4),(1,3),(2,3),(2,4),(3,4)],5) => 2

[[1,2],[3,3],[5]] => [5,3,4,1,2] => ([(0,2),(0,3),(0,4),(1,2),(1,3),(1,4),(2,4),(3,4)],5) => ([(0,1),(0,2),(1,2)],3) => 1

[[1,3],[2,5],[3]] => [3,2,5,1,4] => ([(0,3),(1,2),(1,4),(2,4),(3,4)],5) => ([(0,3),(1,2),(1,4),(2,4),(3,4)],5) => 3

[[1,2],[3,4],[5]] => [5,3,4,1,2] => ([(0,2),(0,3),(0,4),(1,2),(1,3),(1,4),(2,4),(3,4)],5) => ([(0,1),(0,2),(1,2)],3) => 1

[[1,2],[3,5],[4]] => [4,3,5,1,2] => ([(0,3),(0,4),(1,2),(1,3),(1,4),(2,3),(2,4)],5) => ([(0,3),(1,2),(1,3),(2,3)],4) => 2

[[1,3],[2,4],[5]] => [5,2,4,1,3] => ([(0,3),(0,4),(1,2),(1,4),(2,3),(2,4),(3,4)],5) => ([(0,3),(0,4),(1,2),(1,4),(2,3),(2,4),(3,4)],5) => 2

[[1,3],[2,5],[4]] => [4,2,5,1,3] => ([(0,1),(0,4),(1,3),(2,3),(2,4),(3,4)],5) => ([(0,1),(0,4),(1,3),(2,3),(2,4),(3,4)],5) => 2

[[1,4],[2,5],[3]] => [3,2,5,1,4] => ([(0,3),(1,2),(1,4),(2,4),(3,4)],5) => ([(0,3),(1,2),(1,4),(2,4),(3,4)],5) => 3

[[1,2],[3,5],[5]] => [4,3,5,1,2] => ([(0,3),(0,4),(1,2),(1,3),(1,4),(2,3),(2,4)],5) => ([(0,3),(1,2),(1,3),(2,3)],4) => 2

[[1,3],[2,5],[5]] => [4,2,5,1,3] => ([(0,1),(0,4),(1,3),(2,3),(2,4),(3,4)],5) => ([(0,1),(0,4),(1,3),(2,3),(2,4),(3,4)],5) => 2

[[1,2],[4,4],[5]] => [5,3,4,1,2] => ([(0,2),(0,3),(0,4),(1,2),(1,3),(1,4),(2,4),(3,4)],5) => ([(0,1),(0,2),(1,2)],3) => 1

[[1,4],[2,5],[4]] => [3,2,5,1,4] => ([(0,3),(1,2),(1,4),(2,4),(3,4)],5) => ([(0,3),(1,2),(1,4),(2,4),(3,4)],5) => 3

[[1,2],[4,5],[5]] => [4,3,5,1,2] => ([(0,3),(0,4),(1,2),(1,3),(1,4),(2,3),(2,4)],5) => ([(0,3),(1,2),(1,3),(2,3)],4) => 2

[[1,4],[2,5],[5]] => [4,2,5,1,3] => ([(0,1),(0,4),(1,3),(2,3),(2,4),(3,4)],5) => ([(0,1),(0,4),(1,3),(2,3),(2,4),(3,4)],5) => 2

[[1,3],[3,4],[5]] => [5,2,4,1,3] => ([(0,3),(0,4),(1,2),(1,4),(2,3),(2,4),(3,4)],5) => ([(0,3),(0,4),(1,2),(1,4),(2,3),(2,4),(3,4)],5) => 2

[[1,3],[3,5],[4]] => [4,2,5,1,3] => ([(0,1),(0,4),(1,3),(2,3),(2,4),(3,4)],5) => ([(0,1),(0,4),(1,3),(2,3),(2,4),(3,4)],5) => 2

[[1,3],[3,5],[5]] => [4,2,5,1,3] => ([(0,1),(0,4),(1,3),(2,3),(2,4),(3,4)],5) => ([(0,1),(0,4),(1,3),(2,3),(2,4),(3,4)],5) => 2

[[1,3],[4,4],[5]] => [5,3,4,1,2] => ([(0,2),(0,3),(0,4),(1,2),(1,3),(1,4),(2,4),(3,4)],5) => ([(0,1),(0,2),(1,2)],3) => 1

[[1,4],[3,5],[4]] => [3,2,5,1,4] => ([(0,3),(1,2),(1,4),(2,4),(3,4)],5) => ([(0,3),(1,2),(1,4),(2,4),(3,4)],5) => 3

[[1,3],[4,5],[5]] => [4,3,5,1,2] => ([(0,3),(0,4),(1,2),(1,3),(1,4),(2,3),(2,4)],5) => ([(0,3),(1,2),(1,3),(2,3)],4) => 2

[[1,4],[3,5],[5]] => [4,2,5,1,3] => ([(0,1),(0,4),(1,3),(2,3),(2,4),(3,4)],5) => ([(0,1),(0,4),(1,3),(2,3),(2,4),(3,4)],5) => 2

[[1,4],[4,5],[5]] => [4,2,5,1,3] => ([(0,1),(0,4),(1,3),(2,3),(2,4),(3,4)],5) => ([(0,1),(0,4),(1,3),(2,3),(2,4),(3,4)],5) => 2

[[2,2],[3,3],[5]] => [5,3,4,1,2] => ([(0,2),(0,3),(0,4),(1,2),(1,3),(1,4),(2,4),(3,4)],5) => ([(0,1),(0,2),(1,2)],3) => 1

[[2,2],[3,4],[5]] => [5,3,4,1,2] => ([(0,2),(0,3),(0,4),(1,2),(1,3),(1,4),(2,4),(3,4)],5) => ([(0,1),(0,2),(1,2)],3) => 1

[[2,2],[3,5],[4]] => [4,3,5,1,2] => ([(0,3),(0,4),(1,2),(1,3),(1,4),(2,3),(2,4)],5) => ([(0,3),(1,2),(1,3),(2,3)],4) => 2

[[2,2],[3,5],[5]] => [4,3,5,1,2] => ([(0,3),(0,4),(1,2),(1,3),(1,4),(2,3),(2,4)],5) => ([(0,3),(1,2),(1,3),(2,3)],4) => 2

[[2,2],[4,4],[5]] => [5,3,4,1,2] => ([(0,2),(0,3),(0,4),(1,2),(1,3),(1,4),(2,4),(3,4)],5) => ([(0,1),(0,2),(1,2)],3) => 1

[[2,2],[4,5],[5]] => [4,3,5,1,2] => ([(0,3),(0,4),(1,2),(1,3),(1,4),(2,3),(2,4)],5) => ([(0,3),(1,2),(1,3),(2,3)],4) => 2

[[2,3],[3,4],[5]] => [5,2,4,1,3] => ([(0,3),(0,4),(1,2),(1,4),(2,3),(2,4),(3,4)],5) => ([(0,3),(0,4),(1,2),(1,4),(2,3),(2,4),(3,4)],5) => 2

[[2,3],[3,5],[4]] => [4,2,5,1,3] => ([(0,1),(0,4),(1,3),(2,3),(2,4),(3,4)],5) => ([(0,1),(0,4),(1,3),(2,3),(2,4),(3,4)],5) => 2

[[2,3],[3,5],[5]] => [4,2,5,1,3] => ([(0,1),(0,4),(1,3),(2,3),(2,4),(3,4)],5) => ([(0,1),(0,4),(1,3),(2,3),(2,4),(3,4)],5) => 2

[[2,3],[4,4],[5]] => [5,3,4,1,2] => ([(0,2),(0,3),(0,4),(1,2),(1,3),(1,4),(2,4),(3,4)],5) => ([(0,1),(0,2),(1,2)],3) => 1

[[2,4],[3,5],[4]] => [3,2,5,1,4] => ([(0,3),(1,2),(1,4),(2,4),(3,4)],5) => ([(0,3),(1,2),(1,4),(2,4),(3,4)],5) => 3

[[2,3],[4,5],[5]] => [4,3,5,1,2] => ([(0,3),(0,4),(1,2),(1,3),(1,4),(2,3),(2,4)],5) => ([(0,3),(1,2),(1,3),(2,3)],4) => 2

[[2,4],[3,5],[5]] => [4,2,5,1,3] => ([(0,1),(0,4),(1,3),(2,3),(2,4),(3,4)],5) => ([(0,1),(0,4),(1,3),(2,3),(2,4),(3,4)],5) => 2

[[2,4],[4,5],[5]] => [4,2,5,1,3] => ([(0,1),(0,4),(1,3),(2,3),(2,4),(3,4)],5) => ([(0,1),(0,4),(1,3),(2,3),(2,4),(3,4)],5) => 2

[[3,3],[4,4],[5]] => [5,3,4,1,2] => ([(0,2),(0,3),(0,4),(1,2),(1,3),(1,4),(2,4),(3,4)],5) => ([(0,1),(0,2),(1,2)],3) => 1

[[3,3],[4,5],[5]] => [4,3,5,1,2] => ([(0,3),(0,4),(1,2),(1,3),(1,4),(2,3),(2,4)],5) => ([(0,3),(1,2),(1,3),(2,3)],4) => 2

[[3,4],[4,5],[5]] => [4,2,5,1,3] => ([(0,1),(0,4),(1,3),(2,3),(2,4),(3,4)],5) => ([(0,1),(0,4),(1,3),(2,3),(2,4),(3,4)],5) => 2

[[1,1],[2],[3],[5]] => [5,4,3,1,2] => ([(0,2),(0,3),(0,4),(1,2),(1,3),(1,4),(2,3),(2,4),(3,4)],5) => ([(0,1),(0,2),(0,3),(1,2),(1,3),(2,3)],4) => 1

[[1,1],[2],[4],[5]] => [5,4,3,1,2] => ([(0,2),(0,3),(0,4),(1,2),(1,3),(1,4),(2,3),(2,4),(3,4)],5) => ([(0,1),(0,2),(0,3),(1,2),(1,3),(2,3)],4) => 1

[[1,1],[3],[4],[5]] => [5,4,3,1,2] => ([(0,2),(0,3),(0,4),(1,2),(1,3),(1,4),(2,3),(2,4),(3,4)],5) => ([(0,1),(0,2),(0,3),(1,2),(1,3),(2,3)],4) => 1

[[1,2],[2],[3],[5]] => [5,4,2,1,3] => ([(0,3),(0,4),(1,2),(1,3),(1,4),(2,3),(2,4),(3,4)],5) => ([(0,3),(0,4),(1,2),(1,3),(1,4),(2,3),(2,4),(3,4)],5) => 2

[[1,2],[2],[4],[5]] => [5,4,2,1,3] => ([(0,3),(0,4),(1,2),(1,3),(1,4),(2,3),(2,4),(3,4)],5) => ([(0,3),(0,4),(1,2),(1,3),(1,4),(2,3),(2,4),(3,4)],5) => 2

[[1,3],[2],[3],[5]] => [5,3,2,1,4] => ([(0,4),(1,2),(1,3),(1,4),(2,3),(2,4),(3,4)],5) => ([(0,4),(1,2),(1,3),(1,4),(2,3),(2,4),(3,4)],5) => 2

[[1,2],[3],[4],[5]] => [5,4,3,1,2] => ([(0,2),(0,3),(0,4),(1,2),(1,3),(1,4),(2,3),(2,4),(3,4)],5) => ([(0,1),(0,2),(0,3),(1,2),(1,3),(2,3)],4) => 1

[[1,3],[2],[4],[5]] => [5,4,2,1,3] => ([(0,3),(0,4),(1,2),(1,3),(1,4),(2,3),(2,4),(3,4)],5) => ([(0,3),(0,4),(1,2),(1,3),(1,4),(2,3),(2,4),(3,4)],5) => 2

[[1,4],[2],[3],[5]] => [5,3,2,1,4] => ([(0,4),(1,2),(1,3),(1,4),(2,3),(2,4),(3,4)],5) => ([(0,4),(1,2),(1,3),(1,4),(2,3),(2,4),(3,4)],5) => 2

[[1,4],[2],[4],[5]] => [5,3,2,1,4] => ([(0,4),(1,2),(1,3),(1,4),(2,3),(2,4),(3,4)],5) => ([(0,4),(1,2),(1,3),(1,4),(2,3),(2,4),(3,4)],5) => 2

[[1,3],[3],[4],[5]] => [5,4,2,1,3] => ([(0,3),(0,4),(1,2),(1,3),(1,4),(2,3),(2,4),(3,4)],5) => ([(0,3),(0,4),(1,2),(1,3),(1,4),(2,3),(2,4),(3,4)],5) => 2

[[1,4],[3],[4],[5]] => [5,3,2,1,4] => ([(0,4),(1,2),(1,3),(1,4),(2,3),(2,4),(3,4)],5) => ([(0,4),(1,2),(1,3),(1,4),(2,3),(2,4),(3,4)],5) => 2

[[2,2],[3],[4],[5]] => [5,4,3,1,2] => ([(0,2),(0,3),(0,4),(1,2),(1,3),(1,4),(2,3),(2,4),(3,4)],5) => ([(0,1),(0,2),(0,3),(1,2),(1,3),(2,3)],4) => 1

[[2,3],[3],[4],[5]] => [5,4,2,1,3] => ([(0,3),(0,4),(1,2),(1,3),(1,4),(2,3),(2,4),(3,4)],5) => ([(0,3),(0,4),(1,2),(1,3),(1,4),(2,3),(2,4),(3,4)],5) => 2

[[2,4],[3],[4],[5]] => [5,3,2,1,4] => ([(0,4),(1,2),(1,3),(1,4),(2,3),(2,4),(3,4)],5) => ([(0,4),(1,2),(1,3),(1,4),(2,3),(2,4),(3,4)],5) => 2

[[1],[2],[3],[4],[5]] => [5,4,3,2,1] => ([(0,1),(0,2),(0,3),(0,4),(1,2),(1,3),(1,4),(2,3),(2,4),(3,4)],5) => ([(0,1),(0,2),(0,3),(0,4),(1,2),(1,3),(1,4),(2,3),(2,4),(3,4)],5) => 1

[[1,1,1,1,1,4]] => [1,2,3,4,5,6] => ([],6) => ([],1) => 0

[[1,1,1,1,2,4]] => [1,2,3,4,5,6] => ([],6) => ([],1) => 0

[[1,1,1,1,3,4]] => [1,2,3,4,5,6] => ([],6) => ([],1) => 0

[[1,1,1,1,4,4]] => [1,2,3,4,5,6] => ([],6) => ([],1) => 0

[[1,1,1,2,2,4]] => [1,2,3,4,5,6] => ([],6) => ([],1) => 0

[[1,1,1,2,3,4]] => [1,2,3,4,5,6] => ([],6) => ([],1) => 0

[[1,1,1,2,4,4]] => [1,2,3,4,5,6] => ([],6) => ([],1) => 0

[[1,1,1,3,3,4]] => [1,2,3,4,5,6] => ([],6) => ([],1) => 0

[[1,1,1,3,4,4]] => [1,2,3,4,5,6] => ([],6) => ([],1) => 0

[[1,1,1,4,4,4]] => [1,2,3,4,5,6] => ([],6) => ([],1) => 0

[[1,1,2,2,2,4]] => [1,2,3,4,5,6] => ([],6) => ([],1) => 0

[[1,1,2,2,3,4]] => [1,2,3,4,5,6] => ([],6) => ([],1) => 0

[[1,1,2,2,4,4]] => [1,2,3,4,5,6] => ([],6) => ([],1) => 0

[[1,1,2,3,3,4]] => [1,2,3,4,5,6] => ([],6) => ([],1) => 0

[[1,1,2,3,4,4]] => [1,2,3,4,5,6] => ([],6) => ([],1) => 0

[[1,1,2,4,4,4]] => [1,2,3,4,5,6] => ([],6) => ([],1) => 0

[[1,1,3,3,3,4]] => [1,2,3,4,5,6] => ([],6) => ([],1) => 0

[[1,1,3,3,4,4]] => [1,2,3,4,5,6] => ([],6) => ([],1) => 0

[[1,1,3,4,4,4]] => [1,2,3,4,5,6] => ([],6) => ([],1) => 0

[[1,1,4,4,4,4]] => [1,2,3,4,5,6] => ([],6) => ([],1) => 0

[[1,2,2,2,2,4]] => [1,2,3,4,5,6] => ([],6) => ([],1) => 0

[[1,2,2,2,3,4]] => [1,2,3,4,5,6] => ([],6) => ([],1) => 0

[[1,2,2,2,4,4]] => [1,2,3,4,5,6] => ([],6) => ([],1) => 0

[[1,2,2,3,3,4]] => [1,2,3,4,5,6] => ([],6) => ([],1) => 0

[[1,2,2,3,4,4]] => [1,2,3,4,5,6] => ([],6) => ([],1) => 0

[[1,2,2,4,4,4]] => [1,2,3,4,5,6] => ([],6) => ([],1) => 0

[[1,2,3,3,3,4]] => [1,2,3,4,5,6] => ([],6) => ([],1) => 0

[[1,2,3,3,4,4]] => [1,2,3,4,5,6] => ([],6) => ([],1) => 0

[[1,2,3,4,4,4]] => [1,2,3,4,5,6] => ([],6) => ([],1) => 0

[[1,2,4,4,4,4]] => [1,2,3,4,5,6] => ([],6) => ([],1) => 0

[[1,3,3,3,3,4]] => [1,2,3,4,5,6] => ([],6) => ([],1) => 0

[[1,3,3,3,4,4]] => [1,2,3,4,5,6] => ([],6) => ([],1) => 0

[[1,3,3,4,4,4]] => [1,2,3,4,5,6] => ([],6) => ([],1) => 0

[[1,3,4,4,4,4]] => [1,2,3,4,5,6] => ([],6) => ([],1) => 0

[[1,4,4,4,4,4]] => [1,2,3,4,5,6] => ([],6) => ([],1) => 0

[[2,2,2,2,2,4]] => [1,2,3,4,5,6] => ([],6) => ([],1) => 0

[[2,2,2,2,3,4]] => [1,2,3,4,5,6] => ([],6) => ([],1) => 0

[[2,2,2,2,4,4]] => [1,2,3,4,5,6] => ([],6) => ([],1) => 0

[[2,2,2,3,3,4]] => [1,2,3,4,5,6] => ([],6) => ([],1) => 0

[[2,2,2,3,4,4]] => [1,2,3,4,5,6] => ([],6) => ([],1) => 0

[[2,2,2,4,4,4]] => [1,2,3,4,5,6] => ([],6) => ([],1) => 0

[[2,2,3,3,3,4]] => [1,2,3,4,5,6] => ([],6) => ([],1) => 0

[[2,2,3,3,4,4]] => [1,2,3,4,5,6] => ([],6) => ([],1) => 0

[[2,2,3,4,4,4]] => [1,2,3,4,5,6] => ([],6) => ([],1) => 0

[[2,2,4,4,4,4]] => [1,2,3,4,5,6] => ([],6) => ([],1) => 0

[[2,3,3,3,3,4]] => [1,2,3,4,5,6] => ([],6) => ([],1) => 0

[[2,3,3,3,4,4]] => [1,2,3,4,5,6] => ([],6) => ([],1) => 0

[[2,3,3,4,4,4]] => [1,2,3,4,5,6] => ([],6) => ([],1) => 0

[[2,3,4,4,4,4]] => [1,2,3,4,5,6] => ([],6) => ([],1) => 0

[[2,4,4,4,4,4]] => [1,2,3,4,5,6] => ([],6) => ([],1) => 0

[[3,3,3,3,3,4]] => [1,2,3,4,5,6] => ([],6) => ([],1) => 0

[[3,3,3,3,4,4]] => [1,2,3,4,5,6] => ([],6) => ([],1) => 0

[[3,3,3,4,4,4]] => [1,2,3,4,5,6] => ([],6) => ([],1) => 0

[[3,3,4,4,4,4]] => [1,2,3,4,5,6] => ([],6) => ([],1) => 0

[[3,4,4,4,4,4]] => [1,2,3,4,5,6] => ([],6) => ([],1) => 0

[[4,4,4,4,4,4]] => [1,2,3,4,5,6] => ([],6) => ([],1) => 0

[[1,1,1,1,1],[4]] => [6,1,2,3,4,5] => ([(0,5),(1,5),(2,5),(3,5),(4,5)],6) => ([(0,1)],2) => 1

[[1,1,1,1,2],[4]] => [6,1,2,3,4,5] => ([(0,5),(1,5),(2,5),(3,5),(4,5)],6) => ([(0,1)],2) => 1

[[1,1,1,1,3],[4]] => [6,1,2,3,4,5] => ([(0,5),(1,5),(2,5),(3,5),(4,5)],6) => ([(0,1)],2) => 1

[[1,1,1,2,2],[4]] => [6,1,2,3,4,5] => ([(0,5),(1,5),(2,5),(3,5),(4,5)],6) => ([(0,1)],2) => 1

[[1,1,1,2,3],[4]] => [6,1,2,3,4,5] => ([(0,5),(1,5),(2,5),(3,5),(4,5)],6) => ([(0,1)],2) => 1

[[1,1,1,3,3],[4]] => [6,1,2,3,4,5] => ([(0,5),(1,5),(2,5),(3,5),(4,5)],6) => ([(0,1)],2) => 1

[[1,1,2,2,2],[4]] => [6,1,2,3,4,5] => ([(0,5),(1,5),(2,5),(3,5),(4,5)],6) => ([(0,1)],2) => 1

[[1,1,2,2,3],[4]] => [6,1,2,3,4,5] => ([(0,5),(1,5),(2,5),(3,5),(4,5)],6) => ([(0,1)],2) => 1

[[1,1,2,3,3],[4]] => [6,1,2,3,4,5] => ([(0,5),(1,5),(2,5),(3,5),(4,5)],6) => ([(0,1)],2) => 1

[[1,1,3,3,3],[4]] => [6,1,2,3,4,5] => ([(0,5),(1,5),(2,5),(3,5),(4,5)],6) => ([(0,1)],2) => 1

[[1,2,2,2,2],[4]] => [6,1,2,3,4,5] => ([(0,5),(1,5),(2,5),(3,5),(4,5)],6) => ([(0,1)],2) => 1

[[1,2,2,2,3],[4]] => [6,1,2,3,4,5] => ([(0,5),(1,5),(2,5),(3,5),(4,5)],6) => ([(0,1)],2) => 1

[[1,2,2,3,3],[4]] => [6,1,2,3,4,5] => ([(0,5),(1,5),(2,5),(3,5),(4,5)],6) => ([(0,1)],2) => 1

[[1,2,3,3,3],[4]] => [6,1,2,3,4,5] => ([(0,5),(1,5),(2,5),(3,5),(4,5)],6) => ([(0,1)],2) => 1

[[1,3,3,3,3],[4]] => [6,1,2,3,4,5] => ([(0,5),(1,5),(2,5),(3,5),(4,5)],6) => ([(0,1)],2) => 1

[[2,2,2,2,2],[4]] => [6,1,2,3,4,5] => ([(0,5),(1,5),(2,5),(3,5),(4,5)],6) => ([(0,1)],2) => 1

[[2,2,2,2,3],[4]] => [6,1,2,3,4,5] => ([(0,5),(1,5),(2,5),(3,5),(4,5)],6) => ([(0,1)],2) => 1

[[2,2,2,3,3],[4]] => [6,1,2,3,4,5] => ([(0,5),(1,5),(2,5),(3,5),(4,5)],6) => ([(0,1)],2) => 1

[[2,2,3,3,3],[4]] => [6,1,2,3,4,5] => ([(0,5),(1,5),(2,5),(3,5),(4,5)],6) => ([(0,1)],2) => 1

[[2,3,3,3,3],[4]] => [6,1,2,3,4,5] => ([(0,5),(1,5),(2,5),(3,5),(4,5)],6) => ([(0,1)],2) => 1

[[3,3,3,3,3],[4]] => [6,1,2,3,4,5] => ([(0,5),(1,5),(2,5),(3,5),(4,5)],6) => ([(0,1)],2) => 1

[[1,1,1,1],[2,4]] => [5,6,1,2,3,4] => ([(0,4),(0,5),(1,4),(1,5),(2,4),(2,5),(3,4),(3,5)],6) => ([(0,1)],2) => 1

[[1,1,1,1],[3,4]] => [5,6,1,2,3,4] => ([(0,4),(0,5),(1,4),(1,5),(2,4),(2,5),(3,4),(3,5)],6) => ([(0,1)],2) => 1

[[1,1,1,1],[4,4]] => [5,6,1,2,3,4] => ([(0,4),(0,5),(1,4),(1,5),(2,4),(2,5),(3,4),(3,5)],6) => ([(0,1)],2) => 1

[[1,1,1,2],[2,4]] => [4,6,1,2,3,5] => ([(0,5),(1,4),(1,5),(2,4),(2,5),(3,4),(3,5)],6) => ([(0,3),(1,2),(2,3)],4) => 3

[[1,1,1,2],[3,4]] => [5,6,1,2,3,4] => ([(0,4),(0,5),(1,4),(1,5),(2,4),(2,5),(3,4),(3,5)],6) => ([(0,1)],2) => 1

[[1,1,1,3],[2,4]] => [4,6,1,2,3,5] => ([(0,5),(1,4),(1,5),(2,4),(2,5),(3,4),(3,5)],6) => ([(0,3),(1,2),(2,3)],4) => 3

[[1,1,1,2],[4,4]] => [5,6,1,2,3,4] => ([(0,4),(0,5),(1,4),(1,5),(2,4),(2,5),(3,4),(3,5)],6) => ([(0,1)],2) => 1

[[1,1,1,3],[3,4]] => [4,6,1,2,3,5] => ([(0,5),(1,4),(1,5),(2,4),(2,5),(3,4),(3,5)],6) => ([(0,3),(1,2),(2,3)],4) => 3

[[1,1,1,3],[4,4]] => [5,6,1,2,3,4] => ([(0,4),(0,5),(1,4),(1,5),(2,4),(2,5),(3,4),(3,5)],6) => ([(0,1)],2) => 1

[[1,1,2,2],[2,4]] => [3,6,1,2,4,5] => ([(0,5),(1,5),(2,3),(2,4),(3,5),(4,5)],6) => ([(0,3),(1,2),(2,3)],4) => 3

[[1,1,2,2],[3,4]] => [5,6,1,2,3,4] => ([(0,4),(0,5),(1,4),(1,5),(2,4),(2,5),(3,4),(3,5)],6) => ([(0,1)],2) => 1

[[1,1,2,3],[2,4]] => [3,6,1,2,4,5] => ([(0,5),(1,5),(2,3),(2,4),(3,5),(4,5)],6) => ([(0,3),(1,2),(2,3)],4) => 3

[[1,1,2,2],[4,4]] => [5,6,1,2,3,4] => ([(0,4),(0,5),(1,4),(1,5),(2,4),(2,5),(3,4),(3,5)],6) => ([(0,1)],2) => 1

[[1,1,2,3],[3,4]] => [4,6,1,2,3,5] => ([(0,5),(1,4),(1,5),(2,4),(2,5),(3,4),(3,5)],6) => ([(0,3),(1,2),(2,3)],4) => 3

[[1,1,3,3],[2,4]] => [3,6,1,2,4,5] => ([(0,5),(1,5),(2,3),(2,4),(3,5),(4,5)],6) => ([(0,3),(1,2),(2,3)],4) => 3

[[1,1,2,3],[4,4]] => [5,6,1,2,3,4] => ([(0,4),(0,5),(1,4),(1,5),(2,4),(2,5),(3,4),(3,5)],6) => ([(0,1)],2) => 1

[[1,1,3,3],[3,4]] => [3,6,1,2,4,5] => ([(0,5),(1,5),(2,3),(2,4),(3,5),(4,5)],6) => ([(0,3),(1,2),(2,3)],4) => 3

[[1,1,3,3],[4,4]] => [5,6,1,2,3,4] => ([(0,4),(0,5),(1,4),(1,5),(2,4),(2,5),(3,4),(3,5)],6) => ([(0,1)],2) => 1

[[1,2,2,2],[2,4]] => [2,6,1,3,4,5] => ([(0,5),(1,5),(2,5),(3,4),(4,5)],6) => ([(0,3),(1,2),(2,3)],4) => 3

[[1,2,2,2],[3,4]] => [5,6,1,2,3,4] => ([(0,4),(0,5),(1,4),(1,5),(2,4),(2,5),(3,4),(3,5)],6) => ([(0,1)],2) => 1

[[1,2,2,3],[2,4]] => [2,6,1,3,4,5] => ([(0,5),(1,5),(2,5),(3,4),(4,5)],6) => ([(0,3),(1,2),(2,3)],4) => 3

[[1,2,2,2],[4,4]] => [5,6,1,2,3,4] => ([(0,4),(0,5),(1,4),(1,5),(2,4),(2,5),(3,4),(3,5)],6) => ([(0,1)],2) => 1

[[1,2,2,3],[3,4]] => [4,6,1,2,3,5] => ([(0,5),(1,4),(1,5),(2,4),(2,5),(3,4),(3,5)],6) => ([(0,3),(1,2),(2,3)],4) => 3

[[1,2,3,3],[2,4]] => [2,6,1,3,4,5] => ([(0,5),(1,5),(2,5),(3,4),(4,5)],6) => ([(0,3),(1,2),(2,3)],4) => 3

[[1,2,2,3],[4,4]] => [5,6,1,2,3,4] => ([(0,4),(0,5),(1,4),(1,5),(2,4),(2,5),(3,4),(3,5)],6) => ([(0,1)],2) => 1

[[1,2,3,3],[3,4]] => [3,6,1,2,4,5] => ([(0,5),(1,5),(2,3),(2,4),(3,5),(4,5)],6) => ([(0,3),(1,2),(2,3)],4) => 3

[[1,3,3,3],[2,4]] => [2,6,1,3,4,5] => ([(0,5),(1,5),(2,5),(3,4),(4,5)],6) => ([(0,3),(1,2),(2,3)],4) => 3

[[1,2,3,3],[4,4]] => [5,6,1,2,3,4] => ([(0,4),(0,5),(1,4),(1,5),(2,4),(2,5),(3,4),(3,5)],6) => ([(0,1)],2) => 1

[[1,3,3,3],[3,4]] => [2,6,1,3,4,5] => ([(0,5),(1,5),(2,5),(3,4),(4,5)],6) => ([(0,3),(1,2),(2,3)],4) => 3

[[1,3,3,3],[4,4]] => [5,6,1,2,3,4] => ([(0,4),(0,5),(1,4),(1,5),(2,4),(2,5),(3,4),(3,5)],6) => ([(0,1)],2) => 1

[[2,2,2,2],[3,4]] => [5,6,1,2,3,4] => ([(0,4),(0,5),(1,4),(1,5),(2,4),(2,5),(3,4),(3,5)],6) => ([(0,1)],2) => 1

[[2,2,2,2],[4,4]] => [5,6,1,2,3,4] => ([(0,4),(0,5),(1,4),(1,5),(2,4),(2,5),(3,4),(3,5)],6) => ([(0,1)],2) => 1

[[2,2,2,3],[3,4]] => [4,6,1,2,3,5] => ([(0,5),(1,4),(1,5),(2,4),(2,5),(3,4),(3,5)],6) => ([(0,3),(1,2),(2,3)],4) => 3

[[2,2,2,3],[4,4]] => [5,6,1,2,3,4] => ([(0,4),(0,5),(1,4),(1,5),(2,4),(2,5),(3,4),(3,5)],6) => ([(0,1)],2) => 1

[[2,2,3,3],[3,4]] => [3,6,1,2,4,5] => ([(0,5),(1,5),(2,3),(2,4),(3,5),(4,5)],6) => ([(0,3),(1,2),(2,3)],4) => 3

[[2,2,3,3],[4,4]] => [5,6,1,2,3,4] => ([(0,4),(0,5),(1,4),(1,5),(2,4),(2,5),(3,4),(3,5)],6) => ([(0,1)],2) => 1

[[2,3,3,3],[3,4]] => [2,6,1,3,4,5] => ([(0,5),(1,5),(2,5),(3,4),(4,5)],6) => ([(0,3),(1,2),(2,3)],4) => 3

[[2,3,3,3],[4,4]] => [5,6,1,2,3,4] => ([(0,4),(0,5),(1,4),(1,5),(2,4),(2,5),(3,4),(3,5)],6) => ([(0,1)],2) => 1

[[3,3,3,3],[4,4]] => [5,6,1,2,3,4] => ([(0,4),(0,5),(1,4),(1,5),(2,4),(2,5),(3,4),(3,5)],6) => ([(0,1)],2) => 1

[[1,1,1,1],[2],[4]] => [6,5,1,2,3,4] => ([(0,4),(0,5),(1,4),(1,5),(2,4),(2,5),(3,4),(3,5),(4,5)],6) => ([(0,1),(0,2),(1,2)],3) => 1

[[1,1,1,1],[3],[4]] => [6,5,1,2,3,4] => ([(0,4),(0,5),(1,4),(1,5),(2,4),(2,5),(3,4),(3,5),(4,5)],6) => ([(0,1),(0,2),(1,2)],3) => 1

[[1,1,1,2],[2],[4]] => [6,4,1,2,3,5] => ([(0,5),(1,4),(1,5),(2,4),(2,5),(3,4),(3,5),(4,5)],6) => ([(0,3),(1,2),(1,3),(2,3)],4) => 2

[[1,1,1,2],[3],[4]] => [6,5,1,2,3,4] => ([(0,4),(0,5),(1,4),(1,5),(2,4),(2,5),(3,4),(3,5),(4,5)],6) => ([(0,1),(0,2),(1,2)],3) => 1

[[1,1,1,3],[2],[4]] => [6,4,1,2,3,5] => ([(0,5),(1,4),(1,5),(2,4),(2,5),(3,4),(3,5),(4,5)],6) => ([(0,3),(1,2),(1,3),(2,3)],4) => 2

[[1,1,1,3],[3],[4]] => [6,4,1,2,3,5] => ([(0,5),(1,4),(1,5),(2,4),(2,5),(3,4),(3,5),(4,5)],6) => ([(0,3),(1,2),(1,3),(2,3)],4) => 2

[[1,1,2,2],[2],[4]] => [6,3,1,2,4,5] => ([(0,5),(1,5),(2,4),(2,5),(3,4),(3,5),(4,5)],6) => ([(0,3),(1,2),(1,3),(2,3)],4) => 2

[[1,1,2,2],[3],[4]] => [6,5,1,2,3,4] => ([(0,4),(0,5),(1,4),(1,5),(2,4),(2,5),(3,4),(3,5),(4,5)],6) => ([(0,1),(0,2),(1,2)],3) => 1

[[1,1,2,3],[2],[4]] => [6,3,1,2,4,5] => ([(0,5),(1,5),(2,4),(2,5),(3,4),(3,5),(4,5)],6) => ([(0,3),(1,2),(1,3),(2,3)],4) => 2

[[1,1,2,3],[3],[4]] => [6,4,1,2,3,5] => ([(0,5),(1,4),(1,5),(2,4),(2,5),(3,4),(3,5),(4,5)],6) => ([(0,3),(1,2),(1,3),(2,3)],4) => 2

[[1,1,3,3],[2],[4]] => [6,3,1,2,4,5] => ([(0,5),(1,5),(2,4),(2,5),(3,4),(3,5),(4,5)],6) => ([(0,3),(1,2),(1,3),(2,3)],4) => 2

[[1,1,3,3],[3],[4]] => [6,3,1,2,4,5] => ([(0,5),(1,5),(2,4),(2,5),(3,4),(3,5),(4,5)],6) => ([(0,3),(1,2),(1,3),(2,3)],4) => 2

[[1,2,2,2],[2],[4]] => [6,2,1,3,4,5] => ([(0,5),(1,5),(2,5),(3,4),(3,5),(4,5)],6) => ([(0,3),(1,2),(1,3),(2,3)],4) => 2

[[1,2,2,2],[3],[4]] => [6,5,1,2,3,4] => ([(0,4),(0,5),(1,4),(1,5),(2,4),(2,5),(3,4),(3,5),(4,5)],6) => ([(0,1),(0,2),(1,2)],3) => 1

[[1,2,2,3],[2],[4]] => [6,2,1,3,4,5] => ([(0,5),(1,5),(2,5),(3,4),(3,5),(4,5)],6) => ([(0,3),(1,2),(1,3),(2,3)],4) => 2

[[1,2,2,3],[3],[4]] => [6,4,1,2,3,5] => ([(0,5),(1,4),(1,5),(2,4),(2,5),(3,4),(3,5),(4,5)],6) => ([(0,3),(1,2),(1,3),(2,3)],4) => 2

[[1,2,3,3],[2],[4]] => [6,2,1,3,4,5] => ([(0,5),(1,5),(2,5),(3,4),(3,5),(4,5)],6) => ([(0,3),(1,2),(1,3),(2,3)],4) => 2

[[1,2,3,3],[3],[4]] => [6,3,1,2,4,5] => ([(0,5),(1,5),(2,4),(2,5),(3,4),(3,5),(4,5)],6) => ([(0,3),(1,2),(1,3),(2,3)],4) => 2

[[1,3,3,3],[2],[4]] => [6,2,1,3,4,5] => ([(0,5),(1,5),(2,5),(3,4),(3,5),(4,5)],6) => ([(0,3),(1,2),(1,3),(2,3)],4) => 2

[[1,3,3,3],[3],[4]] => [6,2,1,3,4,5] => ([(0,5),(1,5),(2,5),(3,4),(3,5),(4,5)],6) => ([(0,3),(1,2),(1,3),(2,3)],4) => 2

[[2,2,2,2],[3],[4]] => [6,5,1,2,3,4] => ([(0,4),(0,5),(1,4),(1,5),(2,4),(2,5),(3,4),(3,5),(4,5)],6) => ([(0,1),(0,2),(1,2)],3) => 1

[[2,2,2,3],[3],[4]] => [6,4,1,2,3,5] => ([(0,5),(1,4),(1,5),(2,4),(2,5),(3,4),(3,5),(4,5)],6) => ([(0,3),(1,2),(1,3),(2,3)],4) => 2

[[2,2,3,3],[3],[4]] => [6,3,1,2,4,5] => ([(0,5),(1,5),(2,4),(2,5),(3,4),(3,5),(4,5)],6) => ([(0,3),(1,2),(1,3),(2,3)],4) => 2

[[2,3,3,3],[3],[4]] => [6,2,1,3,4,5] => ([(0,5),(1,5),(2,5),(3,4),(3,5),(4,5)],6) => ([(0,3),(1,2),(1,3),(2,3)],4) => 2

[[1,1,1],[2,2,4]] => [4,5,6,1,2,3] => ([(0,3),(0,4),(0,5),(1,3),(1,4),(1,5),(2,3),(2,4),(2,5)],6) => ([(0,1)],2) => 1

[[1,1,1],[2,3,4]] => [4,5,6,1,2,3] => ([(0,3),(0,4),(0,5),(1,3),(1,4),(1,5),(2,3),(2,4),(2,5)],6) => ([(0,1)],2) => 1

[[1,1,1],[2,4,4]] => [4,5,6,1,2,3] => ([(0,3),(0,4),(0,5),(1,3),(1,4),(1,5),(2,3),(2,4),(2,5)],6) => ([(0,1)],2) => 1

[[1,1,1],[3,3,4]] => [4,5,6,1,2,3] => ([(0,3),(0,4),(0,5),(1,3),(1,4),(1,5),(2,3),(2,4),(2,5)],6) => ([(0,1)],2) => 1

[[1,1,1],[3,4,4]] => [4,5,6,1,2,3] => ([(0,3),(0,4),(0,5),(1,3),(1,4),(1,5),(2,3),(2,4),(2,5)],6) => ([(0,1)],2) => 1

[[1,1,1],[4,4,4]] => [4,5,6,1,2,3] => ([(0,3),(0,4),(0,5),(1,3),(1,4),(1,5),(2,3),(2,4),(2,5)],6) => ([(0,1)],2) => 1

[[1,1,2],[2,2,4]] => [3,4,6,1,2,5] => ([(0,5),(1,3),(1,4),(2,3),(2,4),(3,5),(4,5)],6) => ([(0,3),(1,2),(2,3)],4) => 3

[[1,1,2],[2,3,4]] => [3,5,6,1,2,4] => ([(0,4),(0,5),(1,2),(1,3),(2,4),(2,5),(3,4),(3,5)],6) => ([(0,3),(1,2),(2,3)],4) => 3

[[1,1,3],[2,2,4]] => [3,4,6,1,2,5] => ([(0,5),(1,3),(1,4),(2,3),(2,4),(3,5),(4,5)],6) => ([(0,3),(1,2),(2,3)],4) => 3

[[1,1,2],[2,4,4]] => [3,5,6,1,2,4] => ([(0,4),(0,5),(1,2),(1,3),(2,4),(2,5),(3,4),(3,5)],6) => ([(0,3),(1,2),(2,3)],4) => 3

[[1,1,2],[3,3,4]] => [4,5,6,1,2,3] => ([(0,3),(0,4),(0,5),(1,3),(1,4),(1,5),(2,3),(2,4),(2,5)],6) => ([(0,1)],2) => 1

[[1,1,3],[2,3,4]] => [3,4,6,1,2,5] => ([(0,5),(1,3),(1,4),(2,3),(2,4),(3,5),(4,5)],6) => ([(0,3),(1,2),(2,3)],4) => 3

[[1,1,2],[3,4,4]] => [4,5,6,1,2,3] => ([(0,3),(0,4),(0,5),(1,3),(1,4),(1,5),(2,3),(2,4),(2,5)],6) => ([(0,1)],2) => 1

[[1,1,3],[2,4,4]] => [3,5,6,1,2,4] => ([(0,4),(0,5),(1,2),(1,3),(2,4),(2,5),(3,4),(3,5)],6) => ([(0,3),(1,2),(2,3)],4) => 3

[[1,1,2],[4,4,4]] => [4,5,6,1,2,3] => ([(0,3),(0,4),(0,5),(1,3),(1,4),(1,5),(2,3),(2,4),(2,5)],6) => ([(0,1)],2) => 1

[[1,1,3],[3,3,4]] => [3,4,6,1,2,5] => ([(0,5),(1,3),(1,4),(2,3),(2,4),(3,5),(4,5)],6) => ([(0,3),(1,2),(2,3)],4) => 3

[[1,1,3],[3,4,4]] => [3,5,6,1,2,4] => ([(0,4),(0,5),(1,2),(1,3),(2,4),(2,5),(3,4),(3,5)],6) => ([(0,3),(1,2),(2,3)],4) => 3

[[1,1,3],[4,4,4]] => [4,5,6,1,2,3] => ([(0,3),(0,4),(0,5),(1,3),(1,4),(1,5),(2,3),(2,4),(2,5)],6) => ([(0,1)],2) => 1

[[1,2,2],[2,3,4]] => [2,5,6,1,3,4] => ([(0,5),(1,3),(1,4),(2,3),(2,4),(3,5),(4,5)],6) => ([(0,3),(1,2),(2,3)],4) => 3

[[1,2,2],[2,4,4]] => [2,5,6,1,3,4] => ([(0,5),(1,3),(1,4),(2,3),(2,4),(3,5),(4,5)],6) => ([(0,3),(1,2),(2,3)],4) => 3

[[1,2,2],[3,3,4]] => [4,5,6,1,2,3] => ([(0,3),(0,4),(0,5),(1,3),(1,4),(1,5),(2,3),(2,4),(2,5)],6) => ([(0,1)],2) => 1

[[1,2,3],[2,3,4]] => [2,4,6,1,3,5] => ([(0,5),(1,4),(2,3),(2,4),(3,5),(4,5)],6) => ([(0,5),(1,4),(2,3),(2,4),(3,5),(4,5)],6) => 3

[[1,2,2],[3,4,4]] => [4,5,6,1,2,3] => ([(0,3),(0,4),(0,5),(1,3),(1,4),(1,5),(2,3),(2,4),(2,5)],6) => ([(0,1)],2) => 1

[[1,2,3],[2,4,4]] => [2,5,6,1,3,4] => ([(0,5),(1,3),(1,4),(2,3),(2,4),(3,5),(4,5)],6) => ([(0,3),(1,2),(2,3)],4) => 3

[[1,2,2],[4,4,4]] => [4,5,6,1,2,3] => ([(0,3),(0,4),(0,5),(1,3),(1,4),(1,5),(2,3),(2,4),(2,5)],6) => ([(0,1)],2) => 1

[[1,2,3],[3,3,4]] => [3,4,6,1,2,5] => ([(0,5),(1,3),(1,4),(2,3),(2,4),(3,5),(4,5)],6) => ([(0,3),(1,2),(2,3)],4) => 3

[[1,2,3],[3,4,4]] => [3,5,6,1,2,4] => ([(0,4),(0,5),(1,2),(1,3),(2,4),(2,5),(3,4),(3,5)],6) => ([(0,3),(1,2),(2,3)],4) => 3

[[1,3,3],[2,4,4]] => [2,5,6,1,3,4] => ([(0,5),(1,3),(1,4),(2,3),(2,4),(3,5),(4,5)],6) => ([(0,3),(1,2),(2,3)],4) => 3

[[1,2,3],[4,4,4]] => [4,5,6,1,2,3] => ([(0,3),(0,4),(0,5),(1,3),(1,4),(1,5),(2,3),(2,4),(2,5)],6) => ([(0,1)],2) => 1

[[1,3,3],[3,4,4]] => [2,5,6,1,3,4] => ([(0,5),(1,3),(1,4),(2,3),(2,4),(3,5),(4,5)],6) => ([(0,3),(1,2),(2,3)],4) => 3

[[1,3,3],[4,4,4]] => [4,5,6,1,2,3] => ([(0,3),(0,4),(0,5),(1,3),(1,4),(1,5),(2,3),(2,4),(2,5)],6) => ([(0,1)],2) => 1

[[2,2,2],[3,3,4]] => [4,5,6,1,2,3] => ([(0,3),(0,4),(0,5),(1,3),(1,4),(1,5),(2,3),(2,4),(2,5)],6) => ([(0,1)],2) => 1

[[2,2,2],[3,4,4]] => [4,5,6,1,2,3] => ([(0,3),(0,4),(0,5),(1,3),(1,4),(1,5),(2,3),(2,4),(2,5)],6) => ([(0,1)],2) => 1

[[2,2,2],[4,4,4]] => [4,5,6,1,2,3] => ([(0,3),(0,4),(0,5),(1,3),(1,4),(1,5),(2,3),(2,4),(2,5)],6) => ([(0,1)],2) => 1

[[2,2,3],[3,3,4]] => [3,4,6,1,2,5] => ([(0,5),(1,3),(1,4),(2,3),(2,4),(3,5),(4,5)],6) => ([(0,3),(1,2),(2,3)],4) => 3

[[2,2,3],[3,4,4]] => [3,5,6,1,2,4] => ([(0,4),(0,5),(1,2),(1,3),(2,4),(2,5),(3,4),(3,5)],6) => ([(0,3),(1,2),(2,3)],4) => 3

[[2,2,3],[4,4,4]] => [4,5,6,1,2,3] => ([(0,3),(0,4),(0,5),(1,3),(1,4),(1,5),(2,3),(2,4),(2,5)],6) => ([(0,1)],2) => 1

[[2,3,3],[3,4,4]] => [2,5,6,1,3,4] => ([(0,5),(1,3),(1,4),(2,3),(2,4),(3,5),(4,5)],6) => ([(0,3),(1,2),(2,3)],4) => 3

[[2,3,3],[4,4,4]] => [4,5,6,1,2,3] => ([(0,3),(0,4),(0,5),(1,3),(1,4),(1,5),(2,3),(2,4),(2,5)],6) => ([(0,1)],2) => 1

[[3,3,3],[4,4,4]] => [4,5,6,1,2,3] => ([(0,3),(0,4),(0,5),(1,3),(1,4),(1,5),(2,3),(2,4),(2,5)],6) => ([(0,1)],2) => 1

[[1,1,1],[2,2],[4]] => [6,4,5,1,2,3] => ([(0,3),(0,4),(0,5),(1,3),(1,4),(1,5),(2,3),(2,4),(2,5),(3,5),(4,5)],6) => ([(0,1),(0,2),(1,2)],3) => 1

[[1,1,1],[2,3],[4]] => [6,4,5,1,2,3] => ([(0,3),(0,4),(0,5),(1,3),(1,4),(1,5),(2,3),(2,4),(2,5),(3,5),(4,5)],6) => ([(0,1),(0,2),(1,2)],3) => 1

[[1,1,1],[2,4],[3]] => [5,4,6,1,2,3] => ([(0,1),(0,2),(0,3),(1,4),(1,5),(2,4),(2,5),(3,4),(3,5),(4,5)],6) => ([(0,3),(1,2),(1,3),(2,3)],4) => 2

[[1,1,1],[2,4],[4]] => [5,4,6,1,2,3] => ([(0,1),(0,2),(0,3),(1,4),(1,5),(2,4),(2,5),(3,4),(3,5),(4,5)],6) => ([(0,3),(1,2),(1,3),(2,3)],4) => 2

[[1,1,1],[3,3],[4]] => [6,4,5,1,2,3] => ([(0,3),(0,4),(0,5),(1,3),(1,4),(1,5),(2,3),(2,4),(2,5),(3,5),(4,5)],6) => ([(0,1),(0,2),(1,2)],3) => 1

[[1,1,1],[3,4],[4]] => [5,4,6,1,2,3] => ([(0,1),(0,2),(0,3),(1,4),(1,5),(2,4),(2,5),(3,4),(3,5),(4,5)],6) => ([(0,3),(1,2),(1,3),(2,3)],4) => 2

[[1,1,2],[2,2],[4]] => [6,3,4,1,2,5] => ([(0,5),(1,3),(1,4),(1,5),(2,3),(2,4),(2,5),(3,5),(4,5)],6) => ([(0,3),(1,2),(1,3),(2,3)],4) => 2

[[1,1,2],[2,3],[4]] => [6,3,5,1,2,4] => ([(0,4),(0,5),(1,2),(1,3),(1,5),(2,4),(2,5),(3,4),(3,5),(4,5)],6) => ([(0,3),(0,4),(1,2),(1,4),(2,3),(2,4),(3,4)],5) => 2

[[1,1,2],[2,4],[3]] => [5,3,6,1,2,4] => ([(0,4),(0,5),(1,2),(1,3),(1,5),(2,4),(2,5),(3,4),(3,5)],6) => ([(0,1),(0,4),(1,3),(2,3),(2,4),(3,4)],5) => 2

[[1,1,3],[2,2],[4]] => [6,3,4,1,2,5] => ([(0,5),(1,3),(1,4),(1,5),(2,3),(2,4),(2,5),(3,5),(4,5)],6) => ([(0,3),(1,2),(1,3),(2,3)],4) => 2

[[1,1,2],[2,4],[4]] => [5,3,6,1,2,4] => ([(0,4),(0,5),(1,2),(1,3),(1,5),(2,4),(2,5),(3,4),(3,5)],6) => ([(0,1),(0,4),(1,3),(2,3),(2,4),(3,4)],5) => 2

[[1,1,2],[3,3],[4]] => [6,4,5,1,2,3] => ([(0,3),(0,4),(0,5),(1,3),(1,4),(1,5),(2,3),(2,4),(2,5),(3,5),(4,5)],6) => ([(0,1),(0,2),(1,2)],3) => 1

[[1,1,3],[2,3],[4]] => [6,3,4,1,2,5] => ([(0,5),(1,3),(1,4),(1,5),(2,3),(2,4),(2,5),(3,5),(4,5)],6) => ([(0,3),(1,2),(1,3),(2,3)],4) => 2

[[1,1,3],[2,4],[3]] => [4,3,6,1,2,5] => ([(0,5),(1,2),(1,3),(1,4),(2,3),(2,4),(3,5),(4,5)],6) => ([(0,3),(1,2),(1,4),(2,4),(3,4)],5) => 3

[[1,1,2],[3,4],[4]] => [5,4,6,1,2,3] => ([(0,1),(0,2),(0,3),(1,4),(1,5),(2,4),(2,5),(3,4),(3,5),(4,5)],6) => ([(0,3),(1,2),(1,3),(2,3)],4) => 2

[[1,1,3],[2,4],[4]] => [5,3,6,1,2,4] => ([(0,4),(0,5),(1,2),(1,3),(1,5),(2,4),(2,5),(3,4),(3,5)],6) => ([(0,1),(0,4),(1,3),(2,3),(2,4),(3,4)],5) => 2

[[1,1,3],[3,3],[4]] => [6,3,4,1,2,5] => ([(0,5),(1,3),(1,4),(1,5),(2,3),(2,4),(2,5),(3,5),(4,5)],6) => ([(0,3),(1,2),(1,3),(2,3)],4) => 2

[[1,1,3],[3,4],[4]] => [5,3,6,1,2,4] => ([(0,4),(0,5),(1,2),(1,3),(1,5),(2,4),(2,5),(3,4),(3,5)],6) => ([(0,1),(0,4),(1,3),(2,3),(2,4),(3,4)],5) => 2

[[1,2,2],[2,3],[4]] => [6,2,5,1,3,4] => ([(0,4),(0,5),(1,4),(1,5),(2,3),(2,5),(3,4),(3,5),(4,5)],6) => ([(0,3),(0,4),(1,2),(1,4),(2,3),(2,4),(3,4)],5) => 2

[[1,2,2],[2,4],[3]] => [5,2,6,1,3,4] => ([(0,3),(0,5),(1,3),(1,5),(2,4),(2,5),(3,4),(4,5)],6) => ([(0,1),(0,4),(1,3),(2,3),(2,4),(3,4)],5) => 2

[[1,2,2],[2,4],[4]] => [5,2,6,1,3,4] => ([(0,3),(0,5),(1,3),(1,5),(2,4),(2,5),(3,4),(4,5)],6) => ([(0,1),(0,4),(1,3),(2,3),(2,4),(3,4)],5) => 2

[[1,2,2],[3,3],[4]] => [6,4,5,1,2,3] => ([(0,3),(0,4),(0,5),(1,3),(1,4),(1,5),(2,3),(2,4),(2,5),(3,5),(4,5)],6) => ([(0,1),(0,2),(1,2)],3) => 1

[[1,2,3],[2,3],[4]] => [6,2,4,1,3,5] => ([(0,5),(1,4),(1,5),(2,3),(2,5),(3,4),(3,5),(4,5)],6) => ([(0,5),(1,4),(1,5),(2,3),(2,5),(3,4),(3,5),(4,5)],6) => 2

[[1,2,3],[2,4],[3]] => [4,2,6,1,3,5] => ([(0,5),(1,3),(1,4),(2,4),(2,5),(3,4),(3,5)],6) => ([(0,5),(1,3),(1,4),(2,4),(2,5),(3,4),(3,5)],6) => 3

[[1,2,2],[3,4],[4]] => [5,4,6,1,2,3] => ([(0,1),(0,2),(0,3),(1,4),(1,5),(2,4),(2,5),(3,4),(3,5),(4,5)],6) => ([(0,3),(1,2),(1,3),(2,3)],4) => 2

[[1,2,3],[2,4],[4]] => [5,2,6,1,3,4] => ([(0,3),(0,5),(1,3),(1,5),(2,4),(2,5),(3,4),(4,5)],6) => ([(0,1),(0,4),(1,3),(2,3),(2,4),(3,4)],5) => 2

[[1,2,3],[3,3],[4]] => [6,3,4,1,2,5] => ([(0,5),(1,3),(1,4),(1,5),(2,3),(2,4),(2,5),(3,5),(4,5)],6) => ([(0,3),(1,2),(1,3),(2,3)],4) => 2

[[1,3,3],[2,4],[3]] => [3,2,6,1,4,5] => ([(0,4),(1,4),(2,3),(2,5),(3,5),(4,5)],6) => ([(0,3),(1,2),(1,4),(2,4),(3,4)],5) => 3

[[1,2,3],[3,4],[4]] => [5,3,6,1,2,4] => ([(0,4),(0,5),(1,2),(1,3),(1,5),(2,4),(2,5),(3,4),(3,5)],6) => ([(0,1),(0,4),(1,3),(2,3),(2,4),(3,4)],5) => 2

[[1,3,3],[2,4],[4]] => [5,2,6,1,3,4] => ([(0,3),(0,5),(1,3),(1,5),(2,4),(2,5),(3,4),(4,5)],6) => ([(0,1),(0,4),(1,3),(2,3),(2,4),(3,4)],5) => 2

[[1,3,3],[3,4],[4]] => [5,2,6,1,3,4] => ([(0,3),(0,5),(1,3),(1,5),(2,4),(2,5),(3,4),(4,5)],6) => ([(0,1),(0,4),(1,3),(2,3),(2,4),(3,4)],5) => 2

[[2,2,2],[3,3],[4]] => [6,4,5,1,2,3] => ([(0,3),(0,4),(0,5),(1,3),(1,4),(1,5),(2,3),(2,4),(2,5),(3,5),(4,5)],6) => ([(0,1),(0,2),(1,2)],3) => 1

[[2,2,2],[3,4],[4]] => [5,4,6,1,2,3] => ([(0,1),(0,2),(0,3),(1,4),(1,5),(2,4),(2,5),(3,4),(3,5),(4,5)],6) => ([(0,3),(1,2),(1,3),(2,3)],4) => 2

[[2,2,3],[3,3],[4]] => [6,3,4,1,2,5] => ([(0,5),(1,3),(1,4),(1,5),(2,3),(2,4),(2,5),(3,5),(4,5)],6) => ([(0,3),(1,2),(1,3),(2,3)],4) => 2

[[2,2,3],[3,4],[4]] => [5,3,6,1,2,4] => ([(0,4),(0,5),(1,2),(1,3),(1,5),(2,4),(2,5),(3,4),(3,5)],6) => ([(0,1),(0,4),(1,3),(2,3),(2,4),(3,4)],5) => 2

[[2,3,3],[3,4],[4]] => [5,2,6,1,3,4] => ([(0,3),(0,5),(1,3),(1,5),(2,4),(2,5),(3,4),(4,5)],6) => ([(0,1),(0,4),(1,3),(2,3),(2,4),(3,4)],5) => 2

[[1,1,1],[2],[3],[4]] => [6,5,4,1,2,3] => ([(0,3),(0,4),(0,5),(1,3),(1,4),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6) => ([(0,1),(0,2),(0,3),(1,2),(1,3),(2,3)],4) => 1

[[1,1,2],[2],[3],[4]] => [6,5,3,1,2,4] => ([(0,4),(0,5),(1,3),(1,4),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6) => ([(0,3),(0,4),(1,2),(1,3),(1,4),(2,3),(2,4),(3,4)],5) => 2

[[1,1,3],[2],[3],[4]] => [6,4,3,1,2,5] => ([(0,5),(1,3),(1,4),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6) => ([(0,4),(1,2),(1,3),(1,4),(2,3),(2,4),(3,4)],5) => 2

[[1,2,2],[2],[3],[4]] => [6,5,2,1,3,4] => ([(0,4),(0,5),(1,4),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6) => ([(0,3),(0,4),(1,2),(1,3),(1,4),(2,3),(2,4),(3,4)],5) => 2

[[1,2,3],[2],[3],[4]] => [6,4,2,1,3,5] => ([(0,5),(1,4),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6) => ([(0,5),(1,4),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6) => 2

[[1,3,3],[2],[3],[4]] => [6,3,2,1,4,5] => ([(0,5),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6) => ([(0,4),(1,2),(1,3),(1,4),(2,3),(2,4),(3,4)],5) => 2

[[1,1],[2,2],[3,4]] => [5,6,3,4,1,2] => ([(0,2),(0,3),(0,4),(0,5),(1,2),(1,3),(1,4),(1,5),(2,4),(2,5),(3,4),(3,5)],6) => ([(0,1),(0,2),(1,2)],3) => 1

[[1,1],[2,2],[4,4]] => [5,6,3,4,1,2] => ([(0,2),(0,3),(0,4),(0,5),(1,2),(1,3),(1,4),(1,5),(2,4),(2,5),(3,4),(3,5)],6) => ([(0,1),(0,2),(1,2)],3) => 1

[[1,1],[2,3],[3,4]] => [4,6,3,5,1,2] => ([(0,3),(0,4),(0,5),(1,2),(1,4),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5)],6) => ([(0,3),(0,4),(1,2),(1,4),(2,3),(2,4),(3,4)],5) => 2

[[1,1],[2,3],[4,4]] => [5,6,3,4,1,2] => ([(0,2),(0,3),(0,4),(0,5),(1,2),(1,3),(1,4),(1,5),(2,4),(2,5),(3,4),(3,5)],6) => ([(0,1),(0,2),(1,2)],3) => 1

[[1,1],[3,3],[4,4]] => [5,6,3,4,1,2] => ([(0,2),(0,3),(0,4),(0,5),(1,2),(1,3),(1,4),(1,5),(2,4),(2,5),(3,4),(3,5)],6) => ([(0,1),(0,2),(1,2)],3) => 1

[[1,2],[2,3],[3,4]] => [4,6,2,5,1,3] => ([(0,1),(0,3),(0,5),(1,2),(1,4),(2,4),(2,5),(3,4),(3,5),(4,5)],6) => ([(0,1),(0,3),(0,5),(1,2),(1,4),(2,4),(2,5),(3,4),(3,5),(4,5)],6) => 2

[[1,2],[2,3],[4,4]] => [5,6,2,4,1,3] => ([(0,3),(0,4),(0,5),(1,2),(1,4),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5)],6) => ([(0,3),(0,4),(1,2),(1,4),(2,3),(2,4),(3,4)],5) => 2

[[1,2],[3,3],[4,4]] => [5,6,3,4,1,2] => ([(0,2),(0,3),(0,4),(0,5),(1,2),(1,3),(1,4),(1,5),(2,4),(2,5),(3,4),(3,5)],6) => ([(0,1),(0,2),(1,2)],3) => 1

[[2,2],[3,3],[4,4]] => [5,6,3,4,1,2] => ([(0,2),(0,3),(0,4),(0,5),(1,2),(1,3),(1,4),(1,5),(2,4),(2,5),(3,4),(3,5)],6) => ([(0,1),(0,2),(1,2)],3) => 1

[[1,1],[2,2],[3],[4]] => [6,5,3,4,1,2] => ([(0,2),(0,3),(0,4),(0,5),(1,2),(1,3),(1,4),(1,5),(2,4),(2,5),(3,4),(3,5),(4,5)],6) => ([(0,1),(0,2),(0,3),(1,2),(1,3),(2,3)],4) => 1

[[1,1],[2,3],[3],[4]] => [6,4,3,5,1,2] => ([(0,3),(0,4),(0,5),(1,2),(1,3),(1,4),(1,5),(2,3),(2,4),(2,5),(3,5),(4,5)],6) => ([(0,3),(0,4),(1,2),(1,3),(1,4),(2,3),(2,4),(3,4)],5) => 2

[[1,1],[2,4],[3],[4]] => [5,4,3,6,1,2] => ([(0,4),(0,5),(1,2),(1,3),(1,4),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5)],6) => ([(0,4),(1,2),(1,3),(1,4),(2,3),(2,4),(3,4)],5) => 2

[[1,2],[2,3],[3],[4]] => [6,4,2,5,1,3] => ([(0,1),(0,4),(0,5),(1,3),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6) => ([(0,1),(0,4),(0,5),(1,3),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6) => 2

[[1,2],[2,4],[3],[4]] => [5,4,2,6,1,3] => ([(0,2),(0,5),(1,3),(1,4),(1,5),(2,3),(2,4),(3,4),(3,5),(4,5)],6) => ([(0,2),(0,5),(1,3),(1,4),(1,5),(2,3),(2,4),(3,4),(3,5),(4,5)],6) => 2

[[1,3],[2,4],[3],[4]] => [5,3,2,6,1,4] => ([(0,1),(0,5),(1,4),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6) => ([(0,1),(0,5),(1,4),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6) => 2

[[1,1,1,1,1,1,3]] => [1,2,3,4,5,6,7] => ([],7) => ([],1) => 0

[[1,1,1,1,1,2,3]] => [1,2,3,4,5,6,7] => ([],7) => ([],1) => 0

[[1,1,1,1,1,3,3]] => [1,2,3,4,5,6,7] => ([],7) => ([],1) => 0

[[1,1,1,1,2,2,3]] => [1,2,3,4,5,6,7] => ([],7) => ([],1) => 0

[[1,1,1,1,2,3,3]] => [1,2,3,4,5,6,7] => ([],7) => ([],1) => 0

[[1,1,1,1,3,3,3]] => [1,2,3,4,5,6,7] => ([],7) => ([],1) => 0

[[1,1,1,2,2,2,3]] => [1,2,3,4,5,6,7] => ([],7) => ([],1) => 0

[[1,1,1,2,2,3,3]] => [1,2,3,4,5,6,7] => ([],7) => ([],1) => 0

[[1,1,1,2,3,3,3]] => [1,2,3,4,5,6,7] => ([],7) => ([],1) => 0

[[1,1,1,3,3,3,3]] => [1,2,3,4,5,6,7] => ([],7) => ([],1) => 0

[[1,1,2,2,2,2,3]] => [1,2,3,4,5,6,7] => ([],7) => ([],1) => 0

[[1,1,2,2,2,3,3]] => [1,2,3,4,5,6,7] => ([],7) => ([],1) => 0

[[1,1,2,2,3,3,3]] => [1,2,3,4,5,6,7] => ([],7) => ([],1) => 0

[[1,1,2,3,3,3,3]] => [1,2,3,4,5,6,7] => ([],7) => ([],1) => 0

[[1,1,3,3,3,3,3]] => [1,2,3,4,5,6,7] => ([],7) => ([],1) => 0

[[1,2,2,2,2,2,3]] => [1,2,3,4,5,6,7] => ([],7) => ([],1) => 0

[[1,2,2,2,2,3,3]] => [1,2,3,4,5,6,7] => ([],7) => ([],1) => 0

[[1,2,2,2,3,3,3]] => [1,2,3,4,5,6,7] => ([],7) => ([],1) => 0

[[1,2,2,3,3,3,3]] => [1,2,3,4,5,6,7] => ([],7) => ([],1) => 0

[[1,2,3,3,3,3,3]] => [1,2,3,4,5,6,7] => ([],7) => ([],1) => 0

[[1,3,3,3,3,3,3]] => [1,2,3,4,5,6,7] => ([],7) => ([],1) => 0

[[2,2,2,2,2,2,3]] => [1,2,3,4,5,6,7] => ([],7) => ([],1) => 0

[[2,2,2,2,2,3,3]] => [1,2,3,4,5,6,7] => ([],7) => ([],1) => 0

[[2,2,2,2,3,3,3]] => [1,2,3,4,5,6,7] => ([],7) => ([],1) => 0

[[2,2,2,3,3,3,3]] => [1,2,3,4,5,6,7] => ([],7) => ([],1) => 0

[[2,2,3,3,3,3,3]] => [1,2,3,4,5,6,7] => ([],7) => ([],1) => 0

[[2,3,3,3,3,3,3]] => [1,2,3,4,5,6,7] => ([],7) => ([],1) => 0

[[3,3,3,3,3,3,3]] => [1,2,3,4,5,6,7] => ([],7) => ([],1) => 0

[[1,1,1,1,1,1],[3]] => [7,1,2,3,4,5,6] => ([(0,6),(1,6),(2,6),(3,6),(4,6),(5,6)],7) => ([(0,1)],2) => 1

[[1,1,1,1,1,2],[3]] => [7,1,2,3,4,5,6] => ([(0,6),(1,6),(2,6),(3,6),(4,6),(5,6)],7) => ([(0,1)],2) => 1

[[1,1,1,1,2,2],[3]] => [7,1,2,3,4,5,6] => ([(0,6),(1,6),(2,6),(3,6),(4,6),(5,6)],7) => ([(0,1)],2) => 1

[[1,1,1,2,2,2],[3]] => [7,1,2,3,4,5,6] => ([(0,6),(1,6),(2,6),(3,6),(4,6),(5,6)],7) => ([(0,1)],2) => 1

[[1,1,2,2,2,2],[3]] => [7,1,2,3,4,5,6] => ([(0,6),(1,6),(2,6),(3,6),(4,6),(5,6)],7) => ([(0,1)],2) => 1

[[1,2,2,2,2,2],[3]] => [7,1,2,3,4,5,6] => ([(0,6),(1,6),(2,6),(3,6),(4,6),(5,6)],7) => ([(0,1)],2) => 1

[[2,2,2,2,2,2],[3]] => [7,1,2,3,4,5,6] => ([(0,6),(1,6),(2,6),(3,6),(4,6),(5,6)],7) => ([(0,1)],2) => 1

[[1,1,1,1,1],[2,3]] => [6,7,1,2,3,4,5] => ([(0,5),(0,6),(1,5),(1,6),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7) => ([(0,1)],2) => 1

[[1,1,1,1,1],[3,3]] => [6,7,1,2,3,4,5] => ([(0,5),(0,6),(1,5),(1,6),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7) => ([(0,1)],2) => 1

[[1,1,1,1,2],[2,3]] => [5,7,1,2,3,4,6] => ([(0,6),(1,5),(1,6),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7) => ([(0,3),(1,2),(2,3)],4) => 3

[[1,1,1,1,2],[3,3]] => [6,7,1,2,3,4,5] => ([(0,5),(0,6),(1,5),(1,6),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7) => ([(0,1)],2) => 1

[[1,1,1,2,2],[2,3]] => [4,7,1,2,3,5,6] => ([(0,6),(1,6),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7) => ([(0,3),(1,2),(2,3)],4) => 3

[[1,1,1,2,2],[3,3]] => [6,7,1,2,3,4,5] => ([(0,5),(0,6),(1,5),(1,6),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7) => ([(0,1)],2) => 1

[[1,1,2,2,2],[2,3]] => [3,7,1,2,4,5,6] => ([(0,6),(1,6),(2,6),(3,5),(3,6),(4,5),(4,6)],7) => ([(0,3),(1,2),(2,3)],4) => 3

[[1,1,2,2,2],[3,3]] => [6,7,1,2,3,4,5] => ([(0,5),(0,6),(1,5),(1,6),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7) => ([(0,1)],2) => 1

[[1,2,2,2,2],[2,3]] => [2,7,1,3,4,5,6] => ([(0,6),(1,6),(2,6),(3,6),(4,5),(5,6)],7) => ([(0,3),(1,2),(2,3)],4) => 3

[[1,2,2,2,2],[3,3]] => [6,7,1,2,3,4,5] => ([(0,5),(0,6),(1,5),(1,6),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7) => ([(0,1)],2) => 1

[[2,2,2,2,2],[3,3]] => [6,7,1,2,3,4,5] => ([(0,5),(0,6),(1,5),(1,6),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7) => ([(0,1)],2) => 1

[[1,1,1,1,1],[2],[3]] => [7,6,1,2,3,4,5] => ([(0,5),(0,6),(1,5),(1,6),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => ([(0,1),(0,2),(1,2)],3) => 1

[[1,1,1,1,2],[2],[3]] => [7,5,1,2,3,4,6] => ([(0,6),(1,5),(1,6),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => ([(0,3),(1,2),(1,3),(2,3)],4) => 2

[[1,1,1,2,2],[2],[3]] => [7,4,1,2,3,5,6] => ([(0,6),(1,6),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => ([(0,3),(1,2),(1,3),(2,3)],4) => 2

[[1,1,2,2,2],[2],[3]] => [7,3,1,2,4,5,6] => ([(0,6),(1,6),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => ([(0,3),(1,2),(1,3),(2,3)],4) => 2

[[1,2,2,2,2],[2],[3]] => [7,2,1,3,4,5,6] => ([(0,6),(1,6),(2,6),(3,6),(4,5),(4,6),(5,6)],7) => ([(0,3),(1,2),(1,3),(2,3)],4) => 2

[[1,1,1,1],[2,2,3]] => [5,6,7,1,2,3,4] => ([(0,4),(0,5),(0,6),(1,4),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6)],7) => ([(0,1)],2) => 1

[[1,1,1,1],[2,3,3]] => [5,6,7,1,2,3,4] => ([(0,4),(0,5),(0,6),(1,4),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6)],7) => ([(0,1)],2) => 1

[[1,1,1,1],[3,3,3]] => [5,6,7,1,2,3,4] => ([(0,4),(0,5),(0,6),(1,4),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6)],7) => ([(0,1)],2) => 1

[[1,1,1,2],[2,2,3]] => [4,5,7,1,2,3,6] => ([(0,6),(1,3),(1,4),(1,5),(2,3),(2,4),(2,5),(3,6),(4,6),(5,6)],7) => ([(0,3),(1,2),(2,3)],4) => 3

[[1,1,1,2],[2,3,3]] => [4,6,7,1,2,3,5] => ([(0,5),(0,6),(1,2),(1,3),(1,4),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7) => ([(0,3),(1,2),(2,3)],4) => 3

[[1,1,1,2],[3,3,3]] => [5,6,7,1,2,3,4] => ([(0,4),(0,5),(0,6),(1,4),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6)],7) => ([(0,1)],2) => 1

[[1,1,2,2],[2,2,3]] => [3,4,7,1,2,5,6] => ([(0,6),(1,6),(2,4),(2,5),(3,4),(3,5),(4,6),(5,6)],7) => ([(0,3),(1,2),(2,3)],4) => 3

[[1,1,2,2],[2,3,3]] => [3,6,7,1,2,4,5] => ([(0,5),(0,6),(1,5),(1,6),(2,3),(2,4),(3,5),(3,6),(4,5),(4,6)],7) => ([(0,3),(1,2),(2,3)],4) => 3

[[1,1,2,2],[3,3,3]] => [5,6,7,1,2,3,4] => ([(0,4),(0,5),(0,6),(1,4),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6)],7) => ([(0,1)],2) => 1

[[1,2,2,2],[2,3,3]] => [2,6,7,1,3,4,5] => ([(0,4),(1,5),(1,6),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7) => ([(0,3),(1,2),(2,3)],4) => 3

[[1,2,2,2],[3,3,3]] => [5,6,7,1,2,3,4] => ([(0,4),(0,5),(0,6),(1,4),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6)],7) => ([(0,1)],2) => 1

[[2,2,2,2],[3,3,3]] => [5,6,7,1,2,3,4] => ([(0,4),(0,5),(0,6),(1,4),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6)],7) => ([(0,1)],2) => 1

[[1,1,1,1],[2,2],[3]] => [7,5,6,1,2,3,4] => ([(0,4),(0,5),(0,6),(1,4),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,6),(5,6)],7) => ([(0,1),(0,2),(1,2)],3) => 1

[[1,1,1,1],[2,3],[3]] => [6,5,7,1,2,3,4] => ([(0,4),(0,5),(0,6),(1,4),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(5,6)],7) => ([(0,3),(1,2),(1,3),(2,3)],4) => 2

[[1,1,1,2],[2,2],[3]] => [7,4,5,1,2,3,6] => ([(0,6),(1,4),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,6),(5,6)],7) => ([(0,3),(1,2),(1,3),(2,3)],4) => 2

[[1,1,1,2],[2,3],[3]] => [6,4,7,1,2,3,5] => ([(0,5),(0,6),(1,4),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,6)],7) => ([(0,1),(0,4),(1,3),(2,3),(2,4),(3,4)],5) => 2

[[1,1,2,2],[2,2],[3]] => [7,3,4,1,2,5,6] => ([(0,6),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,6),(5,6)],7) => ([(0,3),(1,2),(1,3),(2,3)],4) => 2

[[1,1,2,2],[2,3],[3]] => [6,3,7,1,2,4,5] => ([(0,5),(0,6),(1,5),(1,6),(2,3),(2,4),(2,6),(3,5),(3,6),(4,5),(4,6)],7) => ([(0,1),(0,4),(1,3),(2,3),(2,4),(3,4)],5) => 2

[[1,2,2,2],[2,3],[3]] => [6,2,7,1,3,4,5] => ([(0,5),(0,6),(1,5),(1,6),(2,5),(2,6),(3,4),(3,6),(4,5),(4,6)],7) => ([(0,1),(0,4),(1,3),(2,3),(2,4),(3,4)],5) => 2

[[1,1,1],[2,2,2],[3]] => [7,4,5,6,1,2,3] => ([(0,3),(0,4),(0,5),(0,6),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,6),(4,6),(5,6)],7) => ([(0,1),(0,2),(1,2)],3) => 1

[[1,1,1],[2,2,3],[3]] => [6,4,5,7,1,2,3] => ([(0,3),(0,4),(0,5),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,6),(4,6),(5,6)],7) => ([(0,3),(1,2),(1,3),(2,3)],4) => 2

[[1,1,1],[2,3,3],[3]] => [5,4,6,7,1,2,3] => ([(0,4),(0,5),(0,6),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6)],7) => ([(0,3),(1,2),(1,3),(2,3)],4) => 2

[[1,1,2],[2,2,3],[3]] => [6,3,4,7,1,2,5] => ([(0,3),(0,6),(1,4),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(4,6),(5,6)],7) => ([(0,1),(0,4),(1,3),(2,3),(2,4),(3,4)],5) => 2

[[1,1,2],[2,3,3],[3]] => [5,3,6,7,1,2,4] => ([(0,1),(0,2),(0,6),(1,4),(1,5),(2,4),(2,5),(3,4),(3,5),(3,6),(4,6),(5,6)],7) => ([(0,1),(0,4),(1,3),(2,3),(2,4),(3,4)],5) => 2

[[1,2,2],[2,3,3],[3]] => [5,2,6,7,1,3,4] => ([(0,5),(0,6),(1,3),(1,4),(1,6),(2,3),(2,4),(2,6),(3,5),(4,5),(5,6)],7) => ([(0,1),(0,4),(1,3),(2,3),(2,4),(3,4)],5) => 2

[[1,1,1],[2,2],[3,3]] => [6,7,4,5,1,2,3] => ([(0,3),(0,4),(0,5),(0,6),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7) => ([(0,1),(0,2),(1,2)],3) => 1

[[1,1,2],[2,2],[3,3]] => [6,7,3,4,1,2,5] => ([(0,5),(0,6),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7) => ([(0,3),(1,2),(1,3),(2,3)],4) => 2

[[1,1,1,1],[2,2,2,2]] => [5,6,7,8,1,2,3,4] => ([(0,4),(0,5),(0,6),(0,7),(1,4),(1,5),(1,6),(1,7),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7)],8) => ([(0,1)],2) => 1

[[1]] => [1] => ([],1) => ([],1) => 0

[[2]] => [1] => ([],1) => ([],1) => 0

[[1,1]] => [1,2] => ([],2) => ([],1) => 0

[[3]] => [1] => ([],1) => ([],1) => 0

[[1,1,1]] => [1,2,3] => ([],3) => ([],1) => 0

[[4]] => [1] => ([],1) => ([],1) => 0

[[1,1,1,1]] => [1,2,3,4] => ([],4) => ([],1) => 0

[[5]] => [1] => ([],1) => ([],1) => 0

[[1,1,1,1,1]] => [1,2,3,4,5] => ([],5) => ([],1) => 0

[[6]] => [1] => ([],1) => ([],1) => 0

[[1,1,1,1,1,1]] => [1,2,3,4,5,6] => ([],6) => ([],1) => 0

[[1,2,3,4,5,6]] => [1,2,3,4,5,6] => ([],6) => ([],1) => 0

[[1,2,3,4,5],[6]] => [6,1,2,3,4,5] => ([(0,5),(1,5),(2,5),(3,5),(4,5)],6) => ([(0,1)],2) => 1

[[1,2,3,4],[5],[6]] => [6,5,1,2,3,4] => ([(0,4),(0,5),(1,4),(1,5),(2,4),(2,5),(3,4),(3,5),(4,5)],6) => ([(0,1),(0,2),(1,2)],3) => 1

[[1,2,3,5],[4,6]] => [4,6,1,2,3,5] => ([(0,5),(1,4),(1,5),(2,4),(2,5),(3,4),(3,5)],6) => ([(0,3),(1,2),(2,3)],4) => 3

[[1,2,3,5],[4],[6]] => [6,4,1,2,3,5] => ([(0,5),(1,4),(1,5),(2,4),(2,5),(3,4),(3,5),(4,5)],6) => ([(0,3),(1,2),(1,3),(2,3)],4) => 2

[[1,2,3,4],[5,6]] => [5,6,1,2,3,4] => ([(0,4),(0,5),(1,4),(1,5),(2,4),(2,5),(3,4),(3,5)],6) => ([(0,1)],2) => 1

[[1,2,3],[4],[5],[6]] => [6,5,4,1,2,3] => ([(0,3),(0,4),(0,5),(1,3),(1,4),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6) => ([(0,1),(0,2),(0,3),(1,2),(1,3),(2,3)],4) => 1

[[1,2,4,5],[3,6]] => [3,6,1,2,4,5] => ([(0,5),(1,5),(2,3),(2,4),(3,5),(4,5)],6) => ([(0,3),(1,2),(2,3)],4) => 3

[[1,2,4],[3,5],[6]] => [6,3,5,1,2,4] => ([(0,4),(0,5),(1,2),(1,3),(1,5),(2,4),(2,5),(3,4),(3,5),(4,5)],6) => ([(0,3),(0,4),(1,2),(1,4),(2,3),(2,4),(3,4)],5) => 2

[[1,2,4,5],[3],[6]] => [6,3,1,2,4,5] => ([(0,5),(1,5),(2,4),(2,5),(3,4),(3,5),(4,5)],6) => ([(0,3),(1,2),(1,3),(2,3)],4) => 2

[[1,2,4],[3],[5],[6]] => [6,5,3,1,2,4] => ([(0,4),(0,5),(1,3),(1,4),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6) => ([(0,3),(0,4),(1,2),(1,3),(1,4),(2,3),(2,4),(3,4)],5) => 2

[[1,2,3],[4,5],[6]] => [6,4,5,1,2,3] => ([(0,3),(0,4),(0,5),(1,3),(1,4),(1,5),(2,3),(2,4),(2,5),(3,5),(4,5)],6) => ([(0,1),(0,2),(1,2)],3) => 1

[[1,2,5],[3,6],[4]] => [4,3,6,1,2,5] => ([(0,5),(1,2),(1,3),(1,4),(2,3),(2,4),(3,5),(4,5)],6) => ([(0,3),(1,2),(1,4),(2,4),(3,4)],5) => 3

[[1,2,5],[3],[4],[6]] => [6,4,3,1,2,5] => ([(0,5),(1,3),(1,4),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6) => ([(0,4),(1,2),(1,3),(1,4),(2,3),(2,4),(3,4)],5) => 2

[[1,2,3],[4,6],[5]] => [5,4,6,1,2,3] => ([(0,1),(0,2),(0,3),(1,4),(1,5),(2,4),(2,5),(3,4),(3,5),(4,5)],6) => ([(0,3),(1,2),(1,3),(2,3)],4) => 2

[[1,2,4],[3,6],[5]] => [5,3,6,1,2,4] => ([(0,4),(0,5),(1,2),(1,3),(1,5),(2,4),(2,5),(3,4),(3,5)],6) => ([(0,1),(0,4),(1,3),(2,3),(2,4),(3,4)],5) => 2

[[1,2],[3],[4],[5],[6]] => [6,5,4,3,1,2] => ([(0,2),(0,3),(0,4),(0,5),(1,2),(1,3),(1,4),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6) => ([(0,1),(0,2),(0,3),(0,4),(1,2),(1,3),(1,4),(2,3),(2,4),(3,4)],5) => 1

[[1,3,4,5],[2,6]] => [2,6,1,3,4,5] => ([(0,5),(1,5),(2,5),(3,4),(4,5)],6) => ([(0,3),(1,2),(2,3)],4) => 3

[[1,3,4],[2,5],[6]] => [6,2,5,1,3,4] => ([(0,4),(0,5),(1,4),(1,5),(2,3),(2,5),(3,4),(3,5),(4,5)],6) => ([(0,3),(0,4),(1,2),(1,4),(2,3),(2,4),(3,4)],5) => 2

[[1,3,5],[2,4,6]] => [2,4,6,1,3,5] => ([(0,5),(1,4),(2,3),(2,4),(3,5),(4,5)],6) => ([(0,5),(1,4),(2,3),(2,4),(3,5),(4,5)],6) => 3

[[1,3,5],[2,4],[6]] => [6,2,4,1,3,5] => ([(0,5),(1,4),(1,5),(2,3),(2,5),(3,4),(3,5),(4,5)],6) => ([(0,5),(1,4),(1,5),(2,3),(2,5),(3,4),(3,5),(4,5)],6) => 2

[[1,3,4],[2,5,6]] => [2,5,6,1,3,4] => ([(0,5),(1,3),(1,4),(2,3),(2,4),(3,5),(4,5)],6) => ([(0,3),(1,2),(2,3)],4) => 3

[[1,3],[2,4],[5],[6]] => [6,5,2,4,1,3] => ([(0,3),(0,4),(0,5),(1,2),(1,4),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6) => ([(0,3),(0,4),(0,5),(1,2),(1,4),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6) => 2

[[1,3,4,5],[2],[6]] => [6,2,1,3,4,5] => ([(0,5),(1,5),(2,5),(3,4),(3,5),(4,5)],6) => ([(0,3),(1,2),(1,3),(2,3)],4) => 2

[[1,3,4],[2],[5],[6]] => [6,5,2,1,3,4] => ([(0,4),(0,5),(1,4),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6) => ([(0,3),(0,4),(1,2),(1,3),(1,4),(2,3),(2,4),(3,4)],5) => 2

[[1,3,5],[2,6],[4]] => [4,2,6,1,3,5] => ([(0,5),(1,3),(1,4),(2,4),(2,5),(3,4),(3,5)],6) => ([(0,5),(1,3),(1,4),(2,4),(2,5),(3,4),(3,5)],6) => 3

[[1,3,5],[2],[4],[6]] => [6,4,2,1,3,5] => ([(0,5),(1,4),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6) => ([(0,5),(1,4),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6) => 2

[[1,3,4],[2,6],[5]] => [5,2,6,1,3,4] => ([(0,3),(0,5),(1,3),(1,5),(2,4),(2,5),(3,4),(4,5)],6) => ([(0,1),(0,4),(1,3),(2,3),(2,4),(3,4)],5) => 2

[[1,3],[2],[4],[5],[6]] => [6,5,4,2,1,3] => ([(0,3),(0,4),(0,5),(1,2),(1,3),(1,4),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6) => ([(0,3),(0,4),(0,5),(1,2),(1,3),(1,4),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6) => 2

[[1,2,5],[3,4,6]] => [3,4,6,1,2,5] => ([(0,5),(1,3),(1,4),(2,3),(2,4),(3,5),(4,5)],6) => ([(0,3),(1,2),(2,3)],4) => 3

[[1,2,5],[3,4],[6]] => [6,3,4,1,2,5] => ([(0,5),(1,3),(1,4),(1,5),(2,3),(2,4),(2,5),(3,5),(4,5)],6) => ([(0,3),(1,2),(1,3),(2,3)],4) => 2

[[1,2,4],[3,5,6]] => [3,5,6,1,2,4] => ([(0,4),(0,5),(1,2),(1,3),(2,4),(2,5),(3,4),(3,5)],6) => ([(0,3),(1,2),(2,3)],4) => 3

[[1,2],[3,4],[5],[6]] => [6,5,3,4,1,2] => ([(0,2),(0,3),(0,4),(0,5),(1,2),(1,3),(1,4),(1,5),(2,4),(2,5),(3,4),(3,5),(4,5)],6) => ([(0,1),(0,2),(0,3),(1,2),(1,3),(2,3)],4) => 1

[[1,4,5],[2,6],[3]] => [3,2,6,1,4,5] => ([(0,4),(1,4),(2,3),(2,5),(3,5),(4,5)],6) => ([(0,3),(1,2),(1,4),(2,4),(3,4)],5) => 3

[[1,4],[2,5],[3,6]] => [3,6,2,5,1,4] => ([(0,3),(0,5),(1,2),(1,4),(2,4),(2,5),(3,4),(3,5),(4,5)],6) => ([(0,3),(0,5),(1,2),(1,4),(2,4),(2,5),(3,4),(3,5),(4,5)],6) => 3

[[1,4],[2,5],[3],[6]] => [6,3,2,5,1,4] => ([(0,3),(0,5),(1,2),(1,4),(1,5),(2,4),(2,5),(3,4),(3,5),(4,5)],6) => ([(0,3),(0,5),(1,2),(1,4),(1,5),(2,4),(2,5),(3,4),(3,5),(4,5)],6) => 2

[[1,4,5],[2],[3],[6]] => [6,3,2,1,4,5] => ([(0,5),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6) => ([(0,4),(1,2),(1,3),(1,4),(2,3),(2,4),(3,4)],5) => 2

[[1,4],[2],[3],[5],[6]] => [6,5,3,2,1,4] => ([(0,4),(0,5),(1,2),(1,3),(1,4),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6) => ([(0,4),(0,5),(1,2),(1,3),(1,4),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6) => 2

[[1,2,3],[4,5,6]] => [4,5,6,1,2,3] => ([(0,3),(0,4),(0,5),(1,3),(1,4),(1,5),(2,3),(2,4),(2,5)],6) => ([(0,1)],2) => 1

[[1,2],[3,5],[4],[6]] => [6,4,3,5,1,2] => ([(0,3),(0,4),(0,5),(1,2),(1,3),(1,4),(1,5),(2,3),(2,4),(2,5),(3,5),(4,5)],6) => ([(0,3),(0,4),(1,2),(1,3),(1,4),(2,3),(2,4),(3,4)],5) => 2

[[1,3],[2,5],[4,6]] => [4,6,2,5,1,3] => ([(0,1),(0,3),(0,5),(1,2),(1,4),(2,4),(2,5),(3,4),(3,5),(4,5)],6) => ([(0,1),(0,3),(0,5),(1,2),(1,4),(2,4),(2,5),(3,4),(3,5),(4,5)],6) => 2

[[1,3],[2,5],[4],[6]] => [6,4,2,5,1,3] => ([(0,1),(0,4),(0,5),(1,3),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6) => ([(0,1),(0,4),(0,5),(1,3),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6) => 2

[[1,2],[3,5],[4,6]] => [4,6,3,5,1,2] => ([(0,3),(0,4),(0,5),(1,2),(1,4),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5)],6) => ([(0,3),(0,4),(1,2),(1,4),(2,3),(2,4),(3,4)],5) => 2

[[1,5],[2,6],[3],[4]] => [4,3,2,6,1,5] => ([(0,1),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6) => ([(0,1),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6) => 3

[[1,5],[2],[3],[4],[6]] => [6,4,3,2,1,5] => ([(0,5),(1,2),(1,3),(1,4),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6) => ([(0,5),(1,2),(1,3),(1,4),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6) => 2

[[1,2],[3,6],[4],[5]] => [5,4,3,6,1,2] => ([(0,4),(0,5),(1,2),(1,3),(1,4),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5)],6) => ([(0,4),(1,2),(1,3),(1,4),(2,3),(2,4),(3,4)],5) => 2

[[1,3],[2,4],[5,6]] => [5,6,2,4,1,3] => ([(0,3),(0,4),(0,5),(1,2),(1,4),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5)],6) => ([(0,3),(0,4),(1,2),(1,4),(2,3),(2,4),(3,4)],5) => 2

[[1,3],[2,6],[4],[5]] => [5,4,2,6,1,3] => ([(0,2),(0,5),(1,3),(1,4),(1,5),(2,3),(2,4),(3,4),(3,5),(4,5)],6) => ([(0,2),(0,5),(1,3),(1,4),(1,5),(2,3),(2,4),(3,4),(3,5),(4,5)],6) => 2

[[1,2],[3,4],[5,6]] => [5,6,3,4,1,2] => ([(0,2),(0,3),(0,4),(0,5),(1,2),(1,3),(1,4),(1,5),(2,4),(2,5),(3,4),(3,5)],6) => ([(0,1),(0,2),(1,2)],3) => 1

[[1,4],[2,6],[3],[5]] => [5,3,2,6,1,4] => ([(0,1),(0,5),(1,4),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6) => ([(0,1),(0,5),(1,4),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6) => 2

[[1],[2],[3],[4],[5],[6]] => [6,5,4,3,2,1] => ([(0,1),(0,2),(0,3),(0,4),(0,5),(1,2),(1,3),(1,4),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6) => ([(0,1),(0,2),(0,3),(0,4),(0,5),(1,2),(1,3),(1,4),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6) => 1

search for individual values

searching the database for the individual values of this statistic

/ search for generating function

searching the database for statistics with the same generating function

click to show known generating functions

Description

The diameter of a connected graph.
This is the greatest distance between any pair of vertices.

Map

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).

Map

graph of inversions

Description

The graph of inversions of a permutation.
For a permutation of $\{1,\dots,n\}$, this is the graph with vertices $\{1,\dots,n\}$, where $(i,j)$ is an edge if and only if it is an inversion of the permutation.

Map

de-duplicate

Description

The de-duplicate of a graph.
Let $G = (V, E)$ be a graph. This map yields the graph whose vertex set is the set of (distinct) neighbourhoods $\{N_v | v \in V\}$ of $G$, and has an edge $(N_a, N_b)$ between two vertices if and only if $(a, b)$ is an edge of $G$. This is well-defined, because if $N_a = N_c$ and $N_b = N_d$, then $(a, b)\in E$ if and only if $(c, d)\in E$.
The image of this map is the set of so-called 'mating graphs' or 'point-determining graphs'.
This map preserves the chromatic number.